ITP001 Axioms: ITP093_7.ax
%------------------------------------------------------------------------------
% File : ITP093_7 : TPTP v8.2.0. Bugfixed v7.5.0.
% Domain : Interactive Theorem Proving
% Axioms : HOL4 syntactic export, chainy mode
% Version : [BG+19] axioms.
% English :
% Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% Source : [BG+19]
% Names : alignment.ax [Gau19]
% : HL4093_7.ax [TPAP]
% Status : Satisfiable
% Syntax : Number of formulae : 265 ( 144 unt; 90 typ; 0 def)
% Number of atoms : 263 ( 195 equ)
% Maximal formula atoms : 34 ( 0 avg)
% Number of connectives : 92 ( 4 ~; 4 |; 53 &)
% ( 20 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 90 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 71 ( 42 >; 29 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty)
% Number of functors : 87 ( 87 usr; 19 con; 0-5 aty)
% Number of variables : 654 ( 597 !; 1 ?; 654 :)
% ( 56 !>; 0 ?*; 0 @-; 0 @+)
% SPC : TF1_SAT_EQU_NAR
% Comments :
% Bugfixes : v7.5.0 - Fixes to the axioms.
%------------------------------------------------------------------------------
tff(tyop_2Ebool_2Eitself,type,
tyop_2Ebool_2Eitself: $tType > $tType ).
tff(tyop_2Efcp_2Ecart,type,
tyop_2Efcp_2Ecart: ( $tType * $tType ) > $tType ).
tff(tyop_2Emin_2Ebool,type,
tyop_2Emin_2Ebool: $tType ).
tff(tyop_2Emin_2Efun,type,
tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).
tff(tyop_2Enum_2Enum,type,
tyop_2Enum_2Enum: $tType ).
tff(app_2E2,type,
app_2E2:
!>[A_27a: $tType,A_27b: $tType] : ( ( tyop_2Emin_2Efun(A_27a,A_27b) * A_27a ) > A_27b ) ).
tff(p,type,
p: tyop_2Emin_2Ebool > $o ).
tff(combin_i_2E0,type,
combin_i_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(A_27a,A_27a) ).
tff(combin_k_2E0,type,
combin_k_2E0:
!>[A_27a: $tType,A_27b: $tType] : tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27a)) ).
tff(combin_s_2E0,type,
combin_s_2E0:
!>[A_27a: $tType,A_27b: $tType,A_27c: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c))) ).
tff(c_2Ebool_2E_21_2E0,type,
c_2Ebool_2E_21_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).
tff(c_2Ebool_2E_21_2E1,type,
c_2Ebool_2E_21_2E1:
!>[A_27a: $tType] : ( tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).
tff(c_2Earithmetic_2E_2A_2E0,type,
c_2Earithmetic_2E_2A_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)) ).
tff(c_2Earithmetic_2E_2A_2E2,type,
c_2Earithmetic_2E_2A_2E2: ( tyop_2Enum_2Enum * tyop_2Enum_2Enum ) > tyop_2Enum_2Enum ).
tff(c_2Earithmetic_2E_2D_2E0,type,
c_2Earithmetic_2E_2D_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)) ).
tff(c_2Earithmetic_2E_2D_2E2,type,
c_2Earithmetic_2E_2D_2E2: ( tyop_2Enum_2Enum * tyop_2Enum_2Enum ) > tyop_2Enum_2Enum ).
tff(c_2Ebool_2E_2F_5C_2E0,type,
c_2Ebool_2E_2F_5C_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(c_2Ebool_2E_2F_5C_2E2,type,
c_2Ebool_2E_2F_5C_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(c_2Enum_2E0_2E0,type,
c_2Enum_2E0_2E0: tyop_2Enum_2Enum ).
tff(c_2Eprim__rec_2E_3C_2E0,type,
c_2Eprim__rec_2E_3C_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)) ).
tff(c_2Eprim__rec_2E_3C_2E2,type,
c_2Eprim__rec_2E_3C_2E2: ( tyop_2Enum_2Enum * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(c_2Earithmetic_2E_3C_3D_2E0,type,
c_2Earithmetic_2E_3C_3D_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)) ).
tff(c_2Earithmetic_2E_3C_3D_2E2,type,
c_2Earithmetic_2E_3C_3D_2E2: ( tyop_2Enum_2Enum * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(c_2Emin_2E_3D_2E0,type,
c_2Emin_2E_3D_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)) ).
tff(c_2Emin_2E_3D_2E2,type,
c_2Emin_2E_3D_2E2:
!>[A_27a: $tType] : ( ( A_27a * A_27a ) > tyop_2Emin_2Ebool ) ).
tff(c_2Emin_2E_3D_3D_3E_2E0,type,
c_2Emin_2E_3D_3D_3E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(c_2Emin_2E_3D_3D_3E_2E2,type,
c_2Emin_2E_3D_3D_3E_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(c_2Ebool_2E_3F_2E0,type,
c_2Ebool_2E_3F_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).
tff(c_2Ebool_2E_3F_2E1,type,
c_2Ebool_2E_3F_2E1:
!>[A_27a: $tType] : ( tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).
tff(c_2Earithmetic_2EBIT1_2E0,type,
c_2Earithmetic_2EBIT1_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum) ).
tff(c_2Earithmetic_2EBIT1_2E1,type,
c_2Earithmetic_2EBIT1_2E1: tyop_2Enum_2Enum > tyop_2Enum_2Enum ).
tff(c_2Earithmetic_2EBIT2_2E0,type,
c_2Earithmetic_2EBIT2_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum) ).
tff(c_2Earithmetic_2EBIT2_2E1,type,
c_2Earithmetic_2EBIT2_2E1: tyop_2Enum_2Enum > tyop_2Enum_2Enum ).
tff(c_2Ebool_2ECOND_2E0,type,
c_2Ebool_2ECOND_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,A_27a))) ).
tff(c_2Ebool_2ECOND_2E3,type,
c_2Ebool_2ECOND_2E3:
!>[A_27a: $tType] : ( ( tyop_2Emin_2Ebool * A_27a * A_27a ) > A_27a ) ).
tff(c_2Earithmetic_2EDIV_2E0,type,
c_2Earithmetic_2EDIV_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)) ).
tff(c_2Earithmetic_2EDIV_2E2,type,
c_2Earithmetic_2EDIV_2E2: ( tyop_2Enum_2Enum * tyop_2Enum_2Enum ) > tyop_2Enum_2Enum ).
tff(c_2Earithmetic_2EEXP_2E0,type,
c_2Earithmetic_2EEXP_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)) ).
tff(c_2Earithmetic_2EEXP_2E2,type,
c_2Earithmetic_2EEXP_2E2: ( tyop_2Enum_2Enum * tyop_2Enum_2Enum ) > tyop_2Enum_2Enum ).
tff(c_2Ebool_2EF_2E0,type,
c_2Ebool_2EF_2E0: tyop_2Emin_2Ebool ).
tff(c_2Ebit_2ELOG2_2E0,type,
c_2Ebit_2ELOG2_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum) ).
tff(c_2Ebit_2ELOG2_2E1,type,
c_2Ebit_2ELOG2_2E1: tyop_2Enum_2Enum > tyop_2Enum_2Enum ).
tff(c_2Earithmetic_2EMIN_2E0,type,
c_2Earithmetic_2EMIN_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)) ).
tff(c_2Earithmetic_2EMIN_2E2,type,
c_2Earithmetic_2EMIN_2E2: ( tyop_2Enum_2Enum * tyop_2Enum_2Enum ) > tyop_2Enum_2Enum ).
tff(c_2Earithmetic_2ENUMERAL_2E0,type,
c_2Earithmetic_2ENUMERAL_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum) ).
tff(c_2Earithmetic_2ENUMERAL_2E1,type,
c_2Earithmetic_2ENUMERAL_2E1: tyop_2Enum_2Enum > tyop_2Enum_2Enum ).
tff(c_2Ebool_2ET_2E0,type,
c_2Ebool_2ET_2E0: tyop_2Emin_2Ebool ).
tff(c_2Earithmetic_2EZERO_2E0,type,
c_2Earithmetic_2EZERO_2E0: tyop_2Enum_2Enum ).
tff(c_2Ebool_2E_5C_2F_2E0,type,
c_2Ebool_2E_5C_2F_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(c_2Ebool_2E_5C_2F_2E2,type,
c_2Ebool_2E_5C_2F_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(c_2Ealignment_2Ealign_2E0,type,
c_2Ealignment_2Ealign_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a))) ).
tff(c_2Ealignment_2Ealign_2E2,type,
c_2Ealignment_2Ealign_2E2:
!>[A_27a: $tType] : ( ( tyop_2Enum_2Enum * tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) ) > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) ) ).
tff(c_2Ealignment_2Ealigned_2E0,type,
c_2Ealignment_2Ealigned_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Ebool)) ).
tff(c_2Ealignment_2Ealigned_2E2,type,
c_2Ealignment_2Ealigned_2E2:
!>[A_27a: $tType] : ( ( tyop_2Enum_2Enum * tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) ) > tyop_2Emin_2Ebool ) ).
tff(c_2Ewords_2Ebit__count__upto_2E0,type,
c_2Ewords_2Ebit__count__upto_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Enum_2Enum)) ).
tff(c_2Ewords_2Ebit__count__upto_2E2,type,
c_2Ewords_2Ebit__count__upto_2E2:
!>[A_27a: $tType] : ( ( tyop_2Enum_2Enum * tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) ) > tyop_2Enum_2Enum ) ).
tff(c_2Ealignment_2Ebyte__align_2E0,type,
c_2Ealignment_2Ebyte__align_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)) ).
tff(c_2Ealignment_2Ebyte__align_2E1,type,
c_2Ealignment_2Ebyte__align_2E1:
!>[A_27a: $tType] : ( tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) ) ).
tff(c_2Ealignment_2Ebyte__aligned_2E0,type,
c_2Ealignment_2Ebyte__aligned_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Ebool) ).
tff(c_2Ealignment_2Ebyte__aligned_2E1,type,
c_2Ealignment_2Ebyte__aligned_2E1:
!>[A_27a: $tType] : ( tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) > tyop_2Emin_2Ebool ) ).
tff(c_2Efcp_2Edimindex_2E0,type,
c_2Efcp_2Edimindex_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(A_27a),tyop_2Enum_2Enum) ).
tff(c_2Efcp_2Edimindex_2E1,type,
c_2Efcp_2Edimindex_2E1:
!>[A_27a: $tType] : ( tyop_2Ebool_2Eitself(A_27a) > tyop_2Enum_2Enum ) ).
tff(c_2Ewords_2En2w_2E0,type,
c_2Ewords_2En2w_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)) ).
tff(c_2Ewords_2En2w_2E1,type,
c_2Ewords_2En2w_2E1:
!>[A_27a: $tType] : ( tyop_2Enum_2Enum > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) ) ).
tff(c_2Ebool_2Ethe__value_2E0,type,
c_2Ebool_2Ethe__value_2E0:
!>[A_27a: $tType] : tyop_2Ebool_2Eitself(A_27a) ).
tff(c_2Ewords_2Ew2n_2E0,type,
c_2Ewords_2Ew2n_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Enum_2Enum) ).
tff(c_2Ewords_2Ew2n_2E1,type,
c_2Ewords_2Ew2n_2E1:
!>[A_27a: $tType] : ( tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) > tyop_2Enum_2Enum ) ).
tff(c_2Ewords_2Eword__2comp_2E0,type,
c_2Ewords_2Eword__2comp_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)) ).
tff(c_2Ewords_2Eword__2comp_2E1,type,
c_2Ewords_2Eword__2comp_2E1:
!>[A_27a: $tType] : ( tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) ) ).
tff(c_2Ewords_2Eword__T_2E0,type,
c_2Ewords_2Eword__T_2E0:
!>[A_27a: $tType] : tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) ).
tff(c_2Ewords_2Eword__add_2E0,type,
c_2Ewords_2Eword__add_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a))) ).
tff(c_2Ewords_2Eword__add_2E2,type,
c_2Ewords_2Eword__add_2E2:
!>[A_27a: $tType] : ( ( tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) * tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) ) > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) ) ).
tff(c_2Ewords_2Eword__and_2E0,type,
c_2Ewords_2Eword__and_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a))) ).
tff(c_2Ewords_2Eword__and_2E2,type,
c_2Ewords_2Eword__and_2E2:
!>[A_27a: $tType] : ( ( tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) * tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) ) > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) ) ).
tff(c_2Ewords_2Eword__extract_2E0,type,
c_2Ewords_2Eword__extract_2E0:
!>[A_27a: $tType,A_27b: $tType] : tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b)))) ).
tff(c_2Ewords_2Eword__extract_2E3,type,
c_2Ewords_2Eword__extract_2E3:
!>[A_27a: $tType,A_27b: $tType] : ( ( tyop_2Enum_2Enum * tyop_2Enum_2Enum * tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) ) > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b) ) ).
tff(c_2Ewords_2Eword__lsb_2E0,type,
c_2Ewords_2Eword__lsb_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Ebool) ).
tff(c_2Ewords_2Eword__lsb_2E1,type,
c_2Ewords_2Eword__lsb_2E1:
!>[A_27a: $tType] : ( tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) > tyop_2Emin_2Ebool ) ).
tff(c_2Ewords_2Eword__lsl_2E0,type,
c_2Ewords_2Eword__lsl_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a))) ).
tff(c_2Ewords_2Eword__lsl_2E2,type,
c_2Ewords_2Eword__lsl_2E2:
!>[A_27a: $tType] : ( ( tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) * tyop_2Enum_2Enum ) > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) ) ).
tff(c_2Ewords_2Eword__lsr_2E0,type,
c_2Ewords_2Eword__lsr_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a))) ).
tff(c_2Ewords_2Eword__lsr_2E2,type,
c_2Ewords_2Eword__lsr_2E2:
!>[A_27a: $tType] : ( ( tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) * tyop_2Enum_2Enum ) > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) ) ).
tff(c_2Ewords_2Eword__mul_2E0,type,
c_2Ewords_2Eword__mul_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a))) ).
tff(c_2Ewords_2Eword__mul_2E2,type,
c_2Ewords_2Eword__mul_2E2:
!>[A_27a: $tType] : ( ( tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) * tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) ) > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) ) ).
tff(c_2Ewords_2Eword__slice_2E0,type,
c_2Ewords_2Eword__slice_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)))) ).
tff(c_2Ewords_2Eword__slice_2E3,type,
c_2Ewords_2Eword__slice_2E3:
!>[A_27a: $tType] : ( ( tyop_2Enum_2Enum * tyop_2Enum_2Enum * tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) ) > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) ) ).
tff(c_2Ewords_2Eword__sub_2E0,type,
c_2Ewords_2Eword__sub_2E0:
!>[A_27a: $tType] : tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a))) ).
tff(c_2Ewords_2Eword__sub_2E2,type,
c_2Ewords_2Eword__sub_2E2:
!>[A_27a: $tType] : ( ( tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) * tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) ) > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a) ) ).
tff(c_2Ebool_2E_7E_2E0,type,
c_2Ebool_2E_7E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool) ).
tff(c_2Ebool_2E_7E_2E1,type,
c_2Ebool_2E_7E_2E1: tyop_2Emin_2Ebool > tyop_2Emin_2Ebool ).
tff(thm_2Eextra_2Dho_2Eeq__ext,axiom,
! [A_27a: $tType,A_27b: $tType,V0f_2E0: tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0: tyop_2Emin_2Efun(A_27a,A_27b)] :
( ! [V2x_2E0: A_27a] : ( app_2E2(A_27a,A_27b,V0f_2E0,V2x_2E0) = app_2E2(A_27a,A_27b,V1g_2E0,V2x_2E0) )
=> ( V0f_2E0 = V1g_2E0 ) ) ).
tff(thm_2Eextra_2Dho_2Eboolext,axiom,
! [V0_2E0: tyop_2Emin_2Ebool,V1_2E0: tyop_2Emin_2Ebool] :
( ( p(V0_2E0)
<=> p(V1_2E0) )
=> ( V0_2E0 = V1_2E0 ) ) ).
tff(thm_2Eextra_2Dho_2Etruth,axiom,
p(c_2Ebool_2ET_2E0) ).
tff(thm_2Eextra_2Dho_2Enotfalse,axiom,
~ p(c_2Ebool_2EF_2E0) ).
tff(thm_2Eextra_2Dho_2Ebool__cases__ax,axiom,
! [V0t_2E0: tyop_2Emin_2Ebool] :
( ( V0t_2E0 = c_2Ebool_2ET_2E0 )
| ( V0t_2E0 = c_2Ebool_2EF_2E0 ) ) ).
tff(thm_2Eextra_2Dho_2Ei__thm,axiom,
! [A_27a: $tType,V0x_2E0: A_27a] : ( app_2E2(A_27a,A_27a,combin_i_2E0(A_27a),V0x_2E0) = V0x_2E0 ) ).
tff(thm_2Eextra_2Dho_2Ek__thm,axiom,
! [A_27a: $tType,A_27b: $tType,V0x_2E0: A_27a,V1y_2E0: A_27b] : ( app_2E2(A_27b,A_27a,app_2E2(A_27a,tyop_2Emin_2Efun(A_27b,A_27a),combin_k_2E0(A_27a,A_27b),V0x_2E0),V1y_2E0) = V0x_2E0 ) ).
tff(thm_2Eextra_2Dho_2Es__thm,axiom,
! [A_27a: $tType,A_27b: $tType,A_27c: $tType,V0f_2E0: tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V1g_2E0: tyop_2Emin_2Efun(A_27a,A_27b),V2x_2E0: A_27a] : ( app_2E2(A_27a,A_27c,app_2E2(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c),app_2E2(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c)),combin_s_2E0(A_27a,A_27b,A_27c),V0f_2E0),V1g_2E0),V2x_2E0) = app_2E2(A_27b,A_27c,app_2E2(A_27a,tyop_2Emin_2Efun(A_27b,A_27c),V0f_2E0,V2x_2E0),app_2E2(A_27a,A_27b,V1g_2E0,V2x_2E0)) ) ).
tff(logicdef_2E_2F_5C,axiom,
! [V0_2E0: tyop_2Emin_2Ebool,V1_2E0: tyop_2Emin_2Ebool] :
( p(c_2Ebool_2E_2F_5C_2E2(V0_2E0,V1_2E0))
<=> ( p(V0_2E0)
& p(V1_2E0) ) ) ).
tff(logicdef_2E_5C_2F,axiom,
! [V0_2E0: tyop_2Emin_2Ebool,V1_2E0: tyop_2Emin_2Ebool] :
( p(c_2Ebool_2E_5C_2F_2E2(V0_2E0,V1_2E0))
<=> ( p(V0_2E0)
| p(V1_2E0) ) ) ).
tff(logicdef_2E_7E,axiom,
! [V0_2E0: tyop_2Emin_2Ebool] :
( p(c_2Ebool_2E_7E_2E1(V0_2E0))
<=> ~ p(V0_2E0) ) ).
tff(logicdef_2E_3D_3D_3E,axiom,
! [V0_2E0: tyop_2Emin_2Ebool,V1_2E0: tyop_2Emin_2Ebool] :
( p(c_2Emin_2E_3D_3D_3E_2E2(V0_2E0,V1_2E0))
<=> ( p(V0_2E0)
=> p(V1_2E0) ) ) ).
tff(logicdef_2E_3D,axiom,
! [A_27a: $tType,V0_2E0: A_27a,V1_2E0: A_27a] :
( p(c_2Emin_2E_3D_2E2(A_27a,V0_2E0,V1_2E0))
<=> ( V0_2E0 = V1_2E0 ) ) ).
tff(quantdef_2E_21,axiom,
! [A_27a: $tType,V0f_2E0: tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)] :
( p(c_2Ebool_2E_21_2E1(A_27a,V0f_2E0))
<=> ! [V1x_2E0: A_27a] : p(app_2E2(A_27a,tyop_2Emin_2Ebool,V0f_2E0,V1x_2E0)) ) ).
tff(quantdef_2E_3F,axiom,
! [A_27a: $tType,V0f_2E0: tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)] :
( p(c_2Ebool_2E_3F_2E1(A_27a,V0f_2E0))
<=> ? [V1x_2E0: A_27a] : p(app_2E2(A_27a,tyop_2Emin_2Ebool,V0f_2E0,V1x_2E0)) ) ).
tff(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
! [A_27a: $tType,X0_2E0: tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)] : ( c_2Ebool_2E_21_2E1(A_27a,X0_2E0) = app_2E2(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E0(A_27a),X0_2E0) ) ).
tff(arityeq2_2Ec_2Earithmetic_2E_2A_2E2,axiom,
! [X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Enum_2Enum] : ( c_2Earithmetic_2E_2A_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2A_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Earithmetic_2E_2D_2E2,axiom,
! [X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Enum_2Enum] : ( c_2Earithmetic_2E_2D_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Ebool,X1_2E0: tyop_2Emin_2Ebool] :
( ( p(X0_2E0)
& p(X1_2E0) )
<=> p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_2F_5C_2E0,X0_2E0),X1_2E0)) ) ).
tff(arityeq2_2Ec_2Eprim__rec_2E_3C_2E2,axiom,
! [X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Enum_2Enum] : ( c_2Eprim__rec_2E_3C_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Eprim__rec_2E_3C_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Earithmetic_2E_3C_3D_2E2,axiom,
! [X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Enum_2Enum] : ( c_2Earithmetic_2E_3C_3D_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Earithmetic_2E_3C_3D_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
! [A_27a: $tType,X0_2E0: A_27a,X1_2E0: A_27a] :
( ( X0_2E0 = X1_2E0 )
<=> p(app_2E2(A_27a,tyop_2Emin_2Ebool,app_2E2(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Emin_2E_3D_2E0(A_27a),X0_2E0),X1_2E0)) ) ).
tff(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Ebool,X1_2E0: tyop_2Emin_2Ebool] :
( ( p(X0_2E0)
=> p(X1_2E0) )
<=> p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Emin_2E_3D_3D_3E_2E0,X0_2E0),X1_2E0)) ) ).
tff(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
! [A_27a: $tType,X0_2E0: tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)] : ( c_2Ebool_2E_3F_2E1(A_27a,X0_2E0) = app_2E2(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E0(A_27a),X0_2E0) ) ).
tff(arityeq1_2Ec_2Earithmetic_2EBIT1_2E1,axiom,
! [X0_2E0: tyop_2Enum_2Enum] : ( c_2Earithmetic_2EBIT1_2E1(X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E0,X0_2E0) ) ).
tff(arityeq1_2Ec_2Earithmetic_2EBIT2_2E1,axiom,
! [X0_2E0: tyop_2Enum_2Enum] : ( c_2Earithmetic_2EBIT2_2E1(X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E0,X0_2E0) ) ).
tff(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2CA_27a_29,axiom,
! [A_27a: $tType,X0_2E0: tyop_2Emin_2Ebool,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X2_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : ( c_2Ebool_2ECOND_2E3(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0,X1_2E0,X2_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a))),c_2Ebool_2ECOND_2E0(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),X0_2E0),X1_2E0),X2_2E0) ) ).
tff(arityeq2_2Ec_2Earithmetic_2EDIV_2E2,axiom,
! [X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Enum_2Enum] : ( c_2Earithmetic_2EDIV_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2EDIV_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Earithmetic_2EEXP_2E2,axiom,
! [X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Enum_2Enum] : ( c_2Earithmetic_2EEXP_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2EEXP_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq1_2Ec_2Ebit_2ELOG2_2E1,axiom,
! [X0_2E0: tyop_2Enum_2Enum] : ( c_2Ebit_2ELOG2_2E1(X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Ebit_2ELOG2_2E0,X0_2E0) ) ).
tff(arityeq2_2Ec_2Earithmetic_2EMIN_2E2,axiom,
! [X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Enum_2Enum] : ( c_2Earithmetic_2EMIN_2E2(X0_2E0,X1_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2EMIN_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq1_2Ec_2Earithmetic_2ENUMERAL_2E1,axiom,
! [X0_2E0: tyop_2Enum_2Enum] : ( c_2Earithmetic_2ENUMERAL_2E1(X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E0,X0_2E0) ) ).
tff(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2,axiom,
! [X0_2E0: tyop_2Emin_2Ebool,X1_2E0: tyop_2Emin_2Ebool] :
( ( p(X0_2E0)
| p(X1_2E0) )
<=> p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_5C_2F_2E0,X0_2E0),X1_2E0)) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealign_2E2_2Emono_2EA_27a,axiom,
! [A_27a: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : ( c_2Ealignment_2Ealign_2E2(A_27a,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),c_2Ealignment_2Ealign_2E0(A_27a),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27a,axiom,
! [A_27a: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : ( c_2Ealignment_2Ealigned_2E2(A_27a,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27a),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27a0,axiom,
! [A_27a0: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a0)] : ( c_2Ealignment_2Ealigned_2E2(A_27a0,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a0),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a0),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27a0),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27a10,axiom,
! [A_27a10: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a10)] : ( c_2Ealignment_2Ealigned_2E2(A_27a10,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a10),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a10),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27a10),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27a13,axiom,
! [A_27a13: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a13)] : ( c_2Ealignment_2Ealigned_2E2(A_27a13,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a13),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a13),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27a13),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27a14,axiom,
! [A_27a14: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a14)] : ( c_2Ealignment_2Ealigned_2E2(A_27a14,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a14),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a14),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27a14),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27a15,axiom,
! [A_27a15: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a15)] : ( c_2Ealignment_2Ealigned_2E2(A_27a15,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a15),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a15),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27a15),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27a16,axiom,
! [A_27a16: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a16)] : ( c_2Ealignment_2Ealigned_2E2(A_27a16,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a16),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a16),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27a16),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27a18,axiom,
! [A_27a18: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a18)] : ( c_2Ealignment_2Ealigned_2E2(A_27a18,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a18),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a18),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27a18),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27a19,axiom,
! [A_27a19: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a19)] : ( c_2Ealignment_2Ealigned_2E2(A_27a19,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a19),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a19),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27a19),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27a2,axiom,
! [A_27a2: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a2)] : ( c_2Ealignment_2Ealigned_2E2(A_27a2,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a2),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a2),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27a2),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27a20,axiom,
! [A_27a20: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a20)] : ( c_2Ealignment_2Ealigned_2E2(A_27a20,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a20),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a20),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27a20),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27a21,axiom,
! [A_27a21: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a21)] : ( c_2Ealignment_2Ealigned_2E2(A_27a21,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a21),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a21),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27a21),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27a23,axiom,
! [A_27a23: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a23)] : ( c_2Ealignment_2Ealigned_2E2(A_27a23,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a23),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a23),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27a23),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27a25,axiom,
! [A_27a25: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a25)] : ( c_2Ealignment_2Ealigned_2E2(A_27a25,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a25),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a25),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27a25),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27a26,axiom,
! [A_27a26: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a26)] : ( c_2Ealignment_2Ealigned_2E2(A_27a26,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a26),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a26),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27a26),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27a27,axiom,
! [A_27a27: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a27)] : ( c_2Ealignment_2Ealigned_2E2(A_27a27,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a27),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a27),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27a27),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27a4,axiom,
! [A_27a4: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a4)] : ( c_2Ealignment_2Ealigned_2E2(A_27a4,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a4),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a4),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27a4),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27a6,axiom,
! [A_27a6: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a6)] : ( c_2Ealignment_2Ealigned_2E2(A_27a6,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a6),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a6),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27a6),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27a8,axiom,
! [A_27a8: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a8)] : ( c_2Ealignment_2Ealigned_2E2(A_27a8,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a8),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a8),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27a8),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27b,axiom,
! [A_27b: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b)] : ( c_2Ealignment_2Ealigned_2E2(A_27b,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27b),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27c,axiom,
! [A_27c: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c)] : ( c_2Ealignment_2Ealigned_2E2(A_27c,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27c),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27d,axiom,
! [A_27d: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d)] : ( c_2Ealignment_2Ealigned_2E2(A_27d,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27d),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27e,axiom,
! [A_27e: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e)] : ( c_2Ealignment_2Ealigned_2E2(A_27e,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27e),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27f,axiom,
! [A_27f: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f)] : ( c_2Ealignment_2Ealigned_2E2(A_27f,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27f),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27h,axiom,
! [A_27h: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h)] : ( c_2Ealignment_2Ealigned_2E2(A_27h,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27h),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27i,axiom,
! [A_27i: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i)] : ( c_2Ealignment_2Ealigned_2E2(A_27i,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27i),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27k,axiom,
! [A_27k: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k)] : ( c_2Ealignment_2Ealigned_2E2(A_27k,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27k),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27m,axiom,
! [A_27m: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m)] : ( c_2Ealignment_2Ealigned_2E2(A_27m,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27m),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27o,axiom,
! [A_27o: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o)] : ( c_2Ealignment_2Ealigned_2E2(A_27o,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27o),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27q,axiom,
! [A_27q: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27q)] : ( c_2Ealignment_2Ealigned_2E2(A_27q,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27q),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27q),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27q),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27s,axiom,
! [A_27s: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27s)] : ( c_2Ealignment_2Ealigned_2E2(A_27s,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27s),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27s),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27s),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27u,axiom,
! [A_27u: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27u)] : ( c_2Ealignment_2Ealigned_2E2(A_27u,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27u),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27u),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27u),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27x,axiom,
! [A_27x: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27x)] : ( c_2Ealignment_2Ealigned_2E2(A_27x,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27x),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27x),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27x),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ealignment_2Ealigned_2E2_2Emono_2EA_27y,axiom,
! [A_27y: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27y)] : ( c_2Ealignment_2Ealigned_2E2(A_27y,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27y),tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27y),tyop_2Emin_2Ebool),c_2Ealignment_2Ealigned_2E0(A_27y),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Ebit__count__upto_2E2_2Emono_2EA_27a,axiom,
! [A_27a: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : ( c_2Ewords_2Ebit__count__upto_2E2(A_27a,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Enum_2Enum),c_2Ewords_2Ebit__count__upto_2E0(A_27a),X0_2E0),X1_2E0) ) ).
tff(arityeq1_2Ec_2Ealignment_2Ebyte__align_2E1_2Emono_2EA_27a,axiom,
! [A_27a: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : ( c_2Ealignment_2Ebyte__align_2E1(A_27a,X0_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ealignment_2Ebyte__align_2E0(A_27a),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ealignment_2Ebyte__aligned_2E1_2Emono_2EA_27a,axiom,
! [A_27a: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : ( c_2Ealignment_2Ebyte__aligned_2E1(A_27a,X0_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Ebool,c_2Ealignment_2Ebyte__aligned_2E0(A_27a),X0_2E0) ) ).
tff(arityeq1_2Ec_2Efcp_2Edimindex_2E1_2Emono_2EA_27a,axiom,
! [A_27a: $tType,X0_2E0: tyop_2Ebool_2Eitself(A_27a)] : ( c_2Efcp_2Edimindex_2E1(A_27a,X0_2E0) = app_2E2(tyop_2Ebool_2Eitself(A_27a),tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E0(A_27a),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a,axiom,
! [A_27a: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27a,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E0(A_27a),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a0,axiom,
! [A_27a0: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27a0,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a0),c_2Ewords_2En2w_2E0(A_27a0),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a10,axiom,
! [A_27a10: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27a10,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a10),c_2Ewords_2En2w_2E0(A_27a10),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a13,axiom,
! [A_27a13: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27a13,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a13),c_2Ewords_2En2w_2E0(A_27a13),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a14,axiom,
! [A_27a14: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27a14,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a14),c_2Ewords_2En2w_2E0(A_27a14),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a15,axiom,
! [A_27a15: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27a15,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a15),c_2Ewords_2En2w_2E0(A_27a15),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a16,axiom,
! [A_27a16: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27a16,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a16),c_2Ewords_2En2w_2E0(A_27a16),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a18,axiom,
! [A_27a18: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27a18,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a18),c_2Ewords_2En2w_2E0(A_27a18),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a19,axiom,
! [A_27a19: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27a19,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a19),c_2Ewords_2En2w_2E0(A_27a19),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a2,axiom,
! [A_27a2: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27a2,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a2),c_2Ewords_2En2w_2E0(A_27a2),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a20,axiom,
! [A_27a20: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27a20,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a20),c_2Ewords_2En2w_2E0(A_27a20),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a21,axiom,
! [A_27a21: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27a21,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a21),c_2Ewords_2En2w_2E0(A_27a21),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a23,axiom,
! [A_27a23: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27a23,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a23),c_2Ewords_2En2w_2E0(A_27a23),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a25,axiom,
! [A_27a25: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27a25,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a25),c_2Ewords_2En2w_2E0(A_27a25),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a26,axiom,
! [A_27a26: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27a26,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a26),c_2Ewords_2En2w_2E0(A_27a26),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a27,axiom,
! [A_27a27: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27a27,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a27),c_2Ewords_2En2w_2E0(A_27a27),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a4,axiom,
! [A_27a4: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27a4,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a4),c_2Ewords_2En2w_2E0(A_27a4),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a6,axiom,
! [A_27a6: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27a6,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a6),c_2Ewords_2En2w_2E0(A_27a6),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a8,axiom,
! [A_27a8: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27a8,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a8),c_2Ewords_2En2w_2E0(A_27a8),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27b,axiom,
! [A_27b: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27b,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E0(A_27b),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27c,axiom,
! [A_27c: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27c,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ewords_2En2w_2E0(A_27c),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27d,axiom,
! [A_27d: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27d,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),c_2Ewords_2En2w_2E0(A_27d),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27e,axiom,
! [A_27e: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27e,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),c_2Ewords_2En2w_2E0(A_27e),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27f,axiom,
! [A_27f: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27f,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),c_2Ewords_2En2w_2E0(A_27f),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27h,axiom,
! [A_27h: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27h,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),c_2Ewords_2En2w_2E0(A_27h),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27i,axiom,
! [A_27i: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27i,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),c_2Ewords_2En2w_2E0(A_27i),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27k,axiom,
! [A_27k: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27k,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),c_2Ewords_2En2w_2E0(A_27k),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27m,axiom,
! [A_27m: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27m,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),c_2Ewords_2En2w_2E0(A_27m),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27o,axiom,
! [A_27o: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27o,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),c_2Ewords_2En2w_2E0(A_27o),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27q,axiom,
! [A_27q: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27q,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27q),c_2Ewords_2En2w_2E0(A_27q),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27s,axiom,
! [A_27s: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27s,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27s),c_2Ewords_2En2w_2E0(A_27s),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27u,axiom,
! [A_27u: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27u,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27u),c_2Ewords_2En2w_2E0(A_27u),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27x,axiom,
! [A_27x: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27x,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27x),c_2Ewords_2En2w_2E0(A_27x),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27y,axiom,
! [A_27y: $tType,X0_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(A_27y,X0_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27y),c_2Ewords_2En2w_2E0(A_27y),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2Ew2n_2E1_2Emono_2EA_27a,axiom,
! [A_27a: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : ( c_2Ewords_2Ew2n_2E1(A_27a,X0_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Enum_2Enum,c_2Ewords_2Ew2n_2E0(A_27a),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2Eword__2comp_2E1_2Emono_2EA_27a,axiom,
! [A_27a: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : ( c_2Ewords_2Eword__2comp_2E1(A_27a,X0_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__2comp_2E0(A_27a),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2Eword__2comp_2E1_2Emono_2EA_27d,axiom,
! [A_27d: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d)] : ( c_2Ewords_2Eword__2comp_2E1(A_27d,X0_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),c_2Ewords_2Eword__2comp_2E0(A_27d),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2Eword__2comp_2E1_2Emono_2EA_27e,axiom,
! [A_27e: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e)] : ( c_2Ewords_2Eword__2comp_2E1(A_27e,X0_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),c_2Ewords_2Eword__2comp_2E0(A_27e),X0_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2Eword__2comp_2E1_2Emono_2EA_27f,axiom,
! [A_27f: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f)] : ( c_2Ewords_2Eword__2comp_2E1(A_27f,X0_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),c_2Ewords_2Eword__2comp_2E0(A_27f),X0_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27a,axiom,
! [A_27a: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : ( c_2Ewords_2Eword__add_2E2(A_27a,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),c_2Ewords_2Eword__add_2E0(A_27a),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27a13,axiom,
! [A_27a13: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a13),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a13)] : ( c_2Ewords_2Eword__add_2E2(A_27a13,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a13),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a13),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a13),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a13),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a13)),c_2Ewords_2Eword__add_2E0(A_27a13),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27a14,axiom,
! [A_27a14: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a14),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a14)] : ( c_2Ewords_2Eword__add_2E2(A_27a14,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a14),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a14),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a14),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a14),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a14)),c_2Ewords_2Eword__add_2E0(A_27a14),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27a15,axiom,
! [A_27a15: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a15),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a15)] : ( c_2Ewords_2Eword__add_2E2(A_27a15,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a15),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a15),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a15),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a15),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a15)),c_2Ewords_2Eword__add_2E0(A_27a15),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27a16,axiom,
! [A_27a16: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a16),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a16)] : ( c_2Ewords_2Eword__add_2E2(A_27a16,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a16),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a16),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a16),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a16),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a16)),c_2Ewords_2Eword__add_2E0(A_27a16),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27a23,axiom,
! [A_27a23: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a23),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a23)] : ( c_2Ewords_2Eword__add_2E2(A_27a23,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a23),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a23),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a23),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a23),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a23)),c_2Ewords_2Eword__add_2E0(A_27a23),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27a26,axiom,
! [A_27a26: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a26),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a26)] : ( c_2Ewords_2Eword__add_2E2(A_27a26,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a26),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a26),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a26),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a26),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a26)),c_2Ewords_2Eword__add_2E0(A_27a26),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27h,axiom,
! [A_27h: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h)] : ( c_2Ewords_2Eword__add_2E2(A_27h,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h)),c_2Ewords_2Eword__add_2E0(A_27h),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27i,axiom,
! [A_27i: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i)] : ( c_2Ewords_2Eword__add_2E2(A_27i,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i)),c_2Ewords_2Eword__add_2E0(A_27i),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27k,axiom,
! [A_27k: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k)] : ( c_2Ewords_2Eword__add_2E2(A_27k,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k)),c_2Ewords_2Eword__add_2E0(A_27k),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27m,axiom,
! [A_27m: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m)] : ( c_2Ewords_2Eword__add_2E2(A_27m,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m)),c_2Ewords_2Eword__add_2E0(A_27m),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27o,axiom,
! [A_27o: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o)] : ( c_2Ewords_2Eword__add_2E2(A_27o,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o)),c_2Ewords_2Eword__add_2E0(A_27o),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27q,axiom,
! [A_27q: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27q),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27q)] : ( c_2Ewords_2Eword__add_2E2(A_27q,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27q),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27q),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27q),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27q),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27q)),c_2Ewords_2Eword__add_2E0(A_27q),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27s,axiom,
! [A_27s: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27s),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27s)] : ( c_2Ewords_2Eword__add_2E2(A_27s,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27s),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27s),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27s),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27s),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27s)),c_2Ewords_2Eword__add_2E0(A_27s),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27u,axiom,
! [A_27u: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27u),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27u)] : ( c_2Ewords_2Eword__add_2E2(A_27u,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27u),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27u),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27u),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27u),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27u)),c_2Ewords_2Eword__add_2E0(A_27u),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__and_2E2_2Emono_2EA_27a,axiom,
! [A_27a: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : ( c_2Ewords_2Eword__and_2E2(A_27a,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),c_2Ewords_2Eword__and_2E0(A_27a),X0_2E0),X1_2E0) ) ).
tff(arityeq3_2Ec_2Ewords_2Eword__extract_2E3_2Emono_2EA_27a_20mono_2EA_27a,axiom,
! [A_27a: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Enum_2Enum,X2_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : ( c_2Ewords_2Eword__extract_2E3(A_27a,A_27a,X0_2E0,X1_2E0,X2_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a))),c_2Ewords_2Eword__extract_2E0(A_27a,A_27a),X0_2E0),X1_2E0),X2_2E0) ) ).
tff(arityeq1_2Ec_2Ewords_2Eword__lsb_2E1_2Emono_2EA_27a,axiom,
! [A_27a: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : ( c_2Ewords_2Eword__lsb_2E1(A_27a,X0_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Ebool,c_2Ewords_2Eword__lsb_2E0(A_27a),X0_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__lsl_2E2_2Emono_2EA_27a,axiom,
! [A_27a: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X1_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2Eword__lsl_2E2(A_27a,X0_2E0,X1_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),c_2Ewords_2Eword__lsl_2E0(A_27a),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__lsr_2E2_2Emono_2EA_27a,axiom,
! [A_27a: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X1_2E0: tyop_2Enum_2Enum] : ( c_2Ewords_2Eword__lsr_2E2(A_27a,X0_2E0,X1_2E0) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),c_2Ewords_2Eword__lsr_2E0(A_27a),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__mul_2E2_2Emono_2EA_27a,axiom,
! [A_27a: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : ( c_2Ewords_2Eword__mul_2E2(A_27a,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),c_2Ewords_2Eword__mul_2E0(A_27a),X0_2E0),X1_2E0) ) ).
tff(arityeq3_2Ec_2Ewords_2Eword__slice_2E3_2Emono_2EA_27a,axiom,
! [A_27a: $tType,X0_2E0: tyop_2Enum_2Enum,X1_2E0: tyop_2Enum_2Enum,X2_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : ( c_2Ewords_2Eword__slice_2E3(A_27a,X0_2E0,X1_2E0,X2_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a))),c_2Ewords_2Eword__slice_2E0(A_27a),X0_2E0),X1_2E0),X2_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__sub_2E2_2Emono_2EA_27a,axiom,
! [A_27a: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : ( c_2Ewords_2Eword__sub_2E2(A_27a,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),c_2Ewords_2Eword__sub_2E0(A_27a),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__sub_2E2_2Emono_2EA_27a0,axiom,
! [A_27a0: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a0),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a0)] : ( c_2Ewords_2Eword__sub_2E2(A_27a0,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a0),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a0)),c_2Ewords_2Eword__sub_2E0(A_27a0),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__sub_2E2_2Emono_2EA_27a10,axiom,
! [A_27a10: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a10),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a10)] : ( c_2Ewords_2Eword__sub_2E2(A_27a10,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a10),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a10),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a10),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a10),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a10)),c_2Ewords_2Eword__sub_2E0(A_27a10),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__sub_2E2_2Emono_2EA_27a18,axiom,
! [A_27a18: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a18),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a18)] : ( c_2Ewords_2Eword__sub_2E2(A_27a18,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a18),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a18),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a18),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a18),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a18)),c_2Ewords_2Eword__sub_2E0(A_27a18),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__sub_2E2_2Emono_2EA_27a19,axiom,
! [A_27a19: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a19),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a19)] : ( c_2Ewords_2Eword__sub_2E2(A_27a19,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a19),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a19),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a19),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a19),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a19)),c_2Ewords_2Eword__sub_2E0(A_27a19),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__sub_2E2_2Emono_2EA_27a2,axiom,
! [A_27a2: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a2),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a2)] : ( c_2Ewords_2Eword__sub_2E2(A_27a2,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a2),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a2),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a2),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a2),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a2)),c_2Ewords_2Eword__sub_2E0(A_27a2),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__sub_2E2_2Emono_2EA_27a20,axiom,
! [A_27a20: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a20),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a20)] : ( c_2Ewords_2Eword__sub_2E2(A_27a20,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a20),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a20),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a20),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a20),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a20)),c_2Ewords_2Eword__sub_2E0(A_27a20),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__sub_2E2_2Emono_2EA_27a21,axiom,
! [A_27a21: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a21),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a21)] : ( c_2Ewords_2Eword__sub_2E2(A_27a21,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a21),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a21),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a21),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a21),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a21)),c_2Ewords_2Eword__sub_2E0(A_27a21),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__sub_2E2_2Emono_2EA_27a25,axiom,
! [A_27a25: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a25),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a25)] : ( c_2Ewords_2Eword__sub_2E2(A_27a25,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a25),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a25),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a25),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a25),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a25)),c_2Ewords_2Eword__sub_2E0(A_27a25),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__sub_2E2_2Emono_2EA_27a27,axiom,
! [A_27a27: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a27),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a27)] : ( c_2Ewords_2Eword__sub_2E2(A_27a27,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a27),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a27),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a27),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a27),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a27)),c_2Ewords_2Eword__sub_2E0(A_27a27),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__sub_2E2_2Emono_2EA_27a4,axiom,
! [A_27a4: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a4),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a4)] : ( c_2Ewords_2Eword__sub_2E2(A_27a4,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a4),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a4),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a4),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a4),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a4)),c_2Ewords_2Eword__sub_2E0(A_27a4),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__sub_2E2_2Emono_2EA_27a6,axiom,
! [A_27a6: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a6),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a6)] : ( c_2Ewords_2Eword__sub_2E2(A_27a6,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a6),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a6),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a6),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a6),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a6)),c_2Ewords_2Eword__sub_2E0(A_27a6),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__sub_2E2_2Emono_2EA_27a8,axiom,
! [A_27a8: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a8),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a8)] : ( c_2Ewords_2Eword__sub_2E2(A_27a8,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a8),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a8),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a8),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a8),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a8)),c_2Ewords_2Eword__sub_2E0(A_27a8),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__sub_2E2_2Emono_2EA_27x,axiom,
! [A_27x: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27x),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27x)] : ( c_2Ewords_2Eword__sub_2E2(A_27x,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27x),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27x),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27x),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27x),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27x)),c_2Ewords_2Eword__sub_2E0(A_27x),X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ewords_2Eword__sub_2E2_2Emono_2EA_27y,axiom,
! [A_27y: $tType,X0_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27y),X1_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27y)] : ( c_2Ewords_2Eword__sub_2E2(A_27y,X0_2E0,X1_2E0) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27y),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27y),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27y),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27y),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27y)),c_2Ewords_2Eword__sub_2E0(A_27y),X0_2E0),X1_2E0) ) ).
tff(arityeq1_2Ec_2Ebool_2E_7E_2E1,axiom,
! [X0_2E0: tyop_2Emin_2Ebool] :
( ~ p(X0_2E0)
<=> p(app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E0,X0_2E0)) ) ).
tff(thm_2Ealignment_2Ealign__def,axiom,
! [A_27a: $tType,V0p_2E0: tyop_2Enum_2Enum,V1w_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : ( c_2Ealignment_2Ealign_2E2(A_27a,V0p_2E0,V1w_2E0) = c_2Ewords_2Eword__slice_2E3(A_27a,c_2Earithmetic_2E_2D_2E2(c_2Efcp_2Edimindex_2E1(A_27a,c_2Ebool_2Ethe__value_2E0(A_27a)),c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),V0p_2E0,V1w_2E0) ) ).
tff(thm_2Ealignment_2Ealigned__def,axiom,
! [A_27a: $tType,V0p_2E0: tyop_2Enum_2Enum,V1w_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] :
( p(c_2Ealignment_2Ealigned_2E2(A_27a,V0p_2E0,V1w_2E0))
<=> ( c_2Ealignment_2Ealign_2E2(A_27a,V0p_2E0,V1w_2E0) = V1w_2E0 ) ) ).
tff(thm_2Ealignment_2Ebyte__align__def,axiom,
! [A_27a: $tType,V0w_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : ( c_2Ealignment_2Ebyte__align_2E1(A_27a,V0w_2E0) = c_2Ealignment_2Ealign_2E2(A_27a,c_2Ebit_2ELOG2_2E1(c_2Earithmetic_2EDIV_2E2(c_2Efcp_2Edimindex_2E1(A_27a,c_2Ebool_2Ethe__value_2E0(A_27a)),c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)))))),V0w_2E0) ) ).
tff(thm_2Ealignment_2Ebyte__aligned__def,axiom,
! [A_27a: $tType,V0w_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : ( c_2Ealignment_2Ebyte__aligned_2E1(A_27a,V0w_2E0) = c_2Ealignment_2Ealigned_2E2(A_27a,c_2Ebit_2ELOG2_2E1(c_2Earithmetic_2EDIV_2E2(c_2Efcp_2Edimindex_2E1(A_27a,c_2Ebool_2Ethe__value_2E0(A_27a)),c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)))))),V0w_2E0) ) ).
tff(thm_2Ealignment_2Ealign__0,axiom,
! [A_27a: $tType,V0w_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : ( c_2Ealignment_2Ealign_2E2(A_27a,c_2Enum_2E0_2E0,V0w_2E0) = V0w_2E0 ) ).
tff(thm_2Ealignment_2Ealign__align,axiom,
! [A_27a: $tType,V0p_2E0: tyop_2Enum_2Enum,V1w_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : ( c_2Ealignment_2Ealign_2E2(A_27a,V0p_2E0,c_2Ealignment_2Ealign_2E2(A_27a,V0p_2E0,V1w_2E0)) = c_2Ealignment_2Ealign_2E2(A_27a,V0p_2E0,V1w_2E0) ) ).
tff(thm_2Ealignment_2Ealigned__align,axiom,
! [A_27a: $tType,V0p_2E0: tyop_2Enum_2Enum,V1w_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : p(c_2Ealignment_2Ealigned_2E2(A_27a,V0p_2E0,c_2Ealignment_2Ealign_2E2(A_27a,V0p_2E0,V1w_2E0))) ).
tff(thm_2Ealignment_2Ealign__aligned,axiom,
! [A_27a: $tType,V0p_2E0: tyop_2Enum_2Enum,V1w_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] :
( p(c_2Ealignment_2Ealigned_2E2(A_27a,V0p_2E0,V1w_2E0))
=> ( c_2Ealignment_2Ealign_2E2(A_27a,V0p_2E0,V1w_2E0) = V1w_2E0 ) ) ).
tff(thm_2Ealignment_2Ealign__bitwise__and,axiom,
! [A_27a: $tType,V0p_2E0: tyop_2Enum_2Enum,V1w_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : ( c_2Ealignment_2Ealign_2E2(A_27a,V0p_2E0,V1w_2E0) = c_2Ewords_2Eword__and_2E2(A_27a,V1w_2E0,c_2Ewords_2Eword__lsl_2E2(A_27a,c_2Ewords_2Eword__T_2E0(A_27a),V0p_2E0)) ) ).
tff(thm_2Ealignment_2Ealign__shift,axiom,
! [A_27a: $tType,V0p_2E0: tyop_2Enum_2Enum,V1w_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : ( c_2Ealignment_2Ealign_2E2(A_27a,V0p_2E0,V1w_2E0) = c_2Ewords_2Eword__lsl_2E2(A_27a,c_2Ewords_2Eword__lsr_2E2(A_27a,V1w_2E0,V0p_2E0),V0p_2E0) ) ).
tff(thm_2Ealignment_2Ealign__w2n,axiom,
! [A_27a: $tType,V0p_2E0: tyop_2Enum_2Enum,V1w_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : ( c_2Ealignment_2Ealign_2E2(A_27a,V0p_2E0,V1w_2E0) = c_2Ewords_2En2w_2E1(A_27a,c_2Earithmetic_2E_2A_2E2(c_2Earithmetic_2EDIV_2E2(c_2Ewords_2Ew2n_2E1(A_27a,V1w_2E0),c_2Earithmetic_2EEXP_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),V0p_2E0)),c_2Earithmetic_2EEXP_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),V0p_2E0))) ) ).
tff(thm_2Ealignment_2Ealign__sub,axiom,
! [A_27a: $tType,F0_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)] :
( ! [V0p_2E0: tyop_2Enum_2Enum] :
( p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F0_2E0,V0p_2E0))
<=> ( V0p_2E0 = c_2Enum_2E0_2E0 ) )
=> ! [V0p_2E0: tyop_2Enum_2Enum,V1w_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : ( c_2Ealignment_2Ealign_2E2(A_27a,V0p_2E0,V1w_2E0) = c_2Ebool_2ECOND_2E3(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,F0_2E0,V0p_2E0),V1w_2E0,c_2Ewords_2Eword__sub_2E2(A_27a,V1w_2E0,c_2Ewords_2Eword__extract_2E3(A_27a,A_27a,c_2Earithmetic_2E_2D_2E2(V0p_2E0,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Enum_2E0_2E0,V1w_2E0))) ) ) ).
tff(thm_2Ealignment_2Ealigned__extract,axiom,
! [A_27a: $tType,V0p_2E0: tyop_2Enum_2Enum,V1w_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] :
( p(c_2Ealignment_2Ealigned_2E2(A_27a,V0p_2E0,V1w_2E0))
<=> ( ( V0p_2E0 = c_2Enum_2E0_2E0 )
| ( c_2Ewords_2Eword__extract_2E3(A_27a,A_27a,c_2Earithmetic_2E_2D_2E2(V0p_2E0,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Enum_2E0_2E0,V1w_2E0) = c_2Ewords_2En2w_2E1(A_27a,c_2Enum_2E0_2E0) ) ) ) ).
tff(thm_2Ealignment_2Ealigned__0,axiom,
! [A_27a: $tType,A_27b: $tType] :
( ! [V0p_2E0: tyop_2Enum_2Enum] : p(c_2Ealignment_2Ealigned_2E2(A_27a,V0p_2E0,c_2Ewords_2En2w_2E1(A_27a,c_2Enum_2E0_2E0)))
& ! [V1w_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b)] : p(c_2Ealignment_2Ealigned_2E2(A_27b,c_2Enum_2E0_2E0,V1w_2E0)) ) ).
tff(thm_2Ealignment_2Ealigned__1__lsb,axiom,
! [A_27a: $tType,V0w_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] :
( p(c_2Ealignment_2Ealigned_2E2(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)),V0w_2E0))
<=> ~ p(c_2Ewords_2Eword__lsb_2E1(A_27a,V0w_2E0)) ) ).
tff(thm_2Ealignment_2Ealigned__ge__dim,axiom,
! [A_27a: $tType,V0p_2E0: tyop_2Enum_2Enum,V1w_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] :
( p(c_2Earithmetic_2E_3C_3D_2E2(c_2Efcp_2Edimindex_2E1(A_27a,c_2Ebool_2Ethe__value_2E0(A_27a)),V0p_2E0))
=> ( p(c_2Ealignment_2Ealigned_2E2(A_27a,V0p_2E0,V1w_2E0))
<=> ( V1w_2E0 = c_2Ewords_2En2w_2E1(A_27a,c_2Enum_2E0_2E0) ) ) ) ).
tff(thm_2Ealignment_2Ealigned__bitwise__and,axiom,
! [A_27a: $tType,V0p_2E0: tyop_2Enum_2Enum,V1w_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] :
( p(c_2Ealignment_2Ealigned_2E2(A_27a,V0p_2E0,V1w_2E0))
<=> ( c_2Ewords_2Eword__and_2E2(A_27a,V1w_2E0,c_2Ewords_2En2w_2E1(A_27a,c_2Earithmetic_2E_2D_2E2(c_2Earithmetic_2EEXP_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),V0p_2E0),c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))))) = c_2Ewords_2En2w_2E1(A_27a,c_2Enum_2E0_2E0) ) ) ).
tff(thm_2Ealignment_2Ealigned__bit__count__upto,axiom,
! [A_27a: $tType,V0p_2E0: tyop_2Enum_2Enum,V1w_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] :
( p(c_2Ealignment_2Ealigned_2E2(A_27a,V0p_2E0,V1w_2E0))
<=> ( c_2Ewords_2Ebit__count__upto_2E2(A_27a,c_2Earithmetic_2EMIN_2E2(c_2Efcp_2Edimindex_2E1(A_27a,c_2Ebool_2Ethe__value_2E0(A_27a)),V0p_2E0),V1w_2E0) = c_2Enum_2E0_2E0 ) ) ).
tff(thm_2Ealignment_2Ealigned__add__sub,axiom,
! [A_27a: $tType,V0p_2E0: tyop_2Enum_2Enum,V1a_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V2b_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] :
( p(c_2Ealignment_2Ealigned_2E2(A_27a,V0p_2E0,V2b_2E0))
=> ( ( c_2Ealignment_2Ealigned_2E2(A_27a,V0p_2E0,c_2Ewords_2Eword__add_2E2(A_27a,V1a_2E0,V2b_2E0)) = c_2Ealignment_2Ealigned_2E2(A_27a,V0p_2E0,V1a_2E0) )
& ( c_2Ealignment_2Ealigned_2E2(A_27a,V0p_2E0,c_2Ewords_2Eword__sub_2E2(A_27a,V1a_2E0,V2b_2E0)) = c_2Ealignment_2Ealigned_2E2(A_27a,V0p_2E0,V1a_2E0) ) ) ) ).
tff(thm_2Ealignment_2Ealigned__add__sub__cor,axiom,
! [A_27a: $tType,V0p_2E0: tyop_2Enum_2Enum,V1a_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V2b_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] :
( ( p(c_2Ealignment_2Ealigned_2E2(A_27a,V0p_2E0,V1a_2E0))
& p(c_2Ealignment_2Ealigned_2E2(A_27a,V0p_2E0,V2b_2E0)) )
=> ( p(c_2Ealignment_2Ealigned_2E2(A_27a,V0p_2E0,c_2Ewords_2Eword__add_2E2(A_27a,V1a_2E0,V2b_2E0)))
& p(c_2Ealignment_2Ealigned_2E2(A_27a,V0p_2E0,c_2Ewords_2Eword__sub_2E2(A_27a,V1a_2E0,V2b_2E0))) ) ) ).
tff(thm_2Ealignment_2Ealigned__mul__shift__1,axiom,
! [A_27a: $tType,V0p_2E0: tyop_2Enum_2Enum,V1w_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] : p(c_2Ealignment_2Ealigned_2E2(A_27a,V0p_2E0,c_2Ewords_2Eword__mul_2E2(A_27a,c_2Ewords_2Eword__lsl_2E2(A_27a,c_2Ewords_2En2w_2E1(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),V0p_2E0),V1w_2E0))) ).
tff(thm_2Ealignment_2Ealigned__add__sub__prod,axiom,
! [A_27a: $tType,V0p_2E0: tyop_2Enum_2Enum,V1w_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V2x_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] :
( ( c_2Ealignment_2Ealigned_2E2(A_27a,V0p_2E0,c_2Ewords_2Eword__add_2E2(A_27a,V1w_2E0,c_2Ewords_2Eword__mul_2E2(A_27a,c_2Ewords_2Eword__lsl_2E2(A_27a,c_2Ewords_2En2w_2E1(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),V0p_2E0),V2x_2E0))) = c_2Ealignment_2Ealigned_2E2(A_27a,V0p_2E0,V1w_2E0) )
& ( c_2Ealignment_2Ealigned_2E2(A_27a,V0p_2E0,c_2Ewords_2Eword__sub_2E2(A_27a,V1w_2E0,c_2Ewords_2Eword__mul_2E2(A_27a,c_2Ewords_2Eword__lsl_2E2(A_27a,c_2Ewords_2En2w_2E1(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),V0p_2E0),V2x_2E0))) = c_2Ealignment_2Ealigned_2E2(A_27a,V0p_2E0,V1w_2E0) ) ) ).
tff(thm_2Ealignment_2Ealigned__imp,axiom,
! [A_27a: $tType,V0p_2E0: tyop_2Enum_2Enum,V1q_2E0: tyop_2Enum_2Enum,V2w_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] :
( ( p(c_2Eprim__rec_2E_3C_2E2(V0p_2E0,V1q_2E0))
& p(c_2Ealignment_2Ealigned_2E2(A_27a,V1q_2E0,V2w_2E0)) )
=> p(c_2Ealignment_2Ealigned_2E2(A_27a,V0p_2E0,V2w_2E0)) ) ).
tff(thm_2Ealignment_2Ealign__add__aligned,axiom,
! [A_27a: $tType,V0p_2E0: tyop_2Enum_2Enum,V1a_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V2b_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] :
( ( p(c_2Ealignment_2Ealigned_2E2(A_27a,V0p_2E0,V1a_2E0))
& p(c_2Eprim__rec_2E_3C_2E2(c_2Ewords_2Ew2n_2E1(A_27a,V2b_2E0),c_2Earithmetic_2EEXP_2E2(c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),V0p_2E0))) )
=> ( c_2Ealignment_2Ealign_2E2(A_27a,V0p_2E0,c_2Ewords_2Eword__add_2E2(A_27a,V1a_2E0,V2b_2E0)) = V1a_2E0 ) ) ).
tff(thm_2Ealignment_2Ealigned__add__sub__123,axiom,
! [A_27a: $tType] :
( ! [V0w_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1x_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] :
( ( c_2Ealignment_2Ealigned_2E2(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__add_2E2(A_27a,V0w_2E0,c_2Ewords_2Eword__mul_2E2(A_27a,c_2Ewords_2En2w_2E1(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0))),V1x_2E0))) = c_2Ealignment_2Ealigned_2E2(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)),V0w_2E0) )
& ( c_2Ealignment_2Ealigned_2E2(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__sub_2E2(A_27a,V0w_2E0,c_2Ewords_2Eword__mul_2E2(A_27a,c_2Ewords_2En2w_2E1(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0))),V1x_2E0))) = c_2Ealignment_2Ealigned_2E2(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)),V0w_2E0) ) )
& ! [V2x_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] :
( p(c_2Ealignment_2Ealigned_2E2(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__mul_2E2(A_27a,c_2Ewords_2En2w_2E1(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0))),V2x_2E0)))
& p(c_2Ealignment_2Ealigned_2E2(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__mul_2E2(A_27a,c_2Ewords_2Eword__2comp_2E1(A_27a,c_2Ewords_2En2w_2E1(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)))),V2x_2E0))) )
& ! [V3w_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V4x_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] :
( ( c_2Ealignment_2Ealigned_2E2(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__add_2E2(A_27a,V3w_2E0,c_2Ewords_2Eword__mul_2E2(A_27a,c_2Ewords_2En2w_2E1(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)))),V4x_2E0))) = c_2Ealignment_2Ealigned_2E2(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),V3w_2E0) )
& ( c_2Ealignment_2Ealigned_2E2(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__sub_2E2(A_27a,V3w_2E0,c_2Ewords_2Eword__mul_2E2(A_27a,c_2Ewords_2En2w_2E1(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)))),V4x_2E0))) = c_2Ealignment_2Ealigned_2E2(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),V3w_2E0) ) )
& ! [V5x_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] :
( p(c_2Ealignment_2Ealigned_2E2(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__mul_2E2(A_27a,c_2Ewords_2En2w_2E1(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)))),V5x_2E0)))
& p(c_2Ealignment_2Ealigned_2E2(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__mul_2E2(A_27a,c_2Ewords_2Eword__2comp_2E1(A_27a,c_2Ewords_2En2w_2E1(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))))),V5x_2E0))) )
& ! [V6w_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V7x_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] :
( ( c_2Ealignment_2Ealigned_2E2(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__add_2E2(A_27a,V6w_2E0,c_2Ewords_2Eword__mul_2E2(A_27a,c_2Ewords_2En2w_2E1(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))))),V7x_2E0))) = c_2Ealignment_2Ealigned_2E2(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),V6w_2E0) )
& ( c_2Ealignment_2Ealigned_2E2(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__sub_2E2(A_27a,V6w_2E0,c_2Ewords_2Eword__mul_2E2(A_27a,c_2Ewords_2En2w_2E1(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))))),V7x_2E0))) = c_2Ealignment_2Ealigned_2E2(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),V6w_2E0) ) )
& ! [V8x_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)] :
( p(c_2Ealignment_2Ealigned_2E2(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__mul_2E2(A_27a,c_2Ewords_2En2w_2E1(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))))),V8x_2E0)))
& p(c_2Ealignment_2Ealigned_2E2(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__mul_2E2(A_27a,c_2Ewords_2Eword__2comp_2E1(A_27a,c_2Ewords_2En2w_2E1(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)))))),V8x_2E0))) ) ) ).
tff(thm_2Ealignment_2Ealigned__numeric,axiom,
! [A_27a: $tType,A_27a0: $tType,A_27a1: $tType,A_27a10: $tType,A_27a11: $tType,A_27a12: $tType,A_27a13: $tType,A_27a14: $tType,A_27a15: $tType,A_27a16: $tType,A_27a17: $tType,A_27a18: $tType,A_27a19: $tType,A_27a2: $tType,A_27a20: $tType,A_27a21: $tType,A_27a22: $tType,A_27a23: $tType,A_27a24: $tType,A_27a25: $tType,A_27a26: $tType,A_27a27: $tType,A_27a3: $tType,A_27a4: $tType,A_27a5: $tType,A_27a6: $tType,A_27a7: $tType,A_27a8: $tType,A_27a9: $tType,A_27b: $tType,A_27c: $tType,A_27d: $tType,A_27e: $tType,A_27f: $tType,A_27g: $tType,A_27h: $tType,A_27i: $tType,A_27j: $tType,A_27k: $tType,A_27l: $tType,A_27m: $tType,A_27n: $tType,A_27o: $tType,A_27p: $tType,A_27q: $tType,A_27r: $tType,A_27s: $tType,A_27t: $tType,A_27u: $tType,A_27v: $tType,A_27w: $tType,A_27x: $tType,A_27y: $tType,A_27z: $tType] :
( ! [V0x_2E0: tyop_2Enum_2Enum] : p(c_2Ealignment_2Ealigned_2E2(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2En2w_2E1(A_27a,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(V0x_2E0)))))))
& ! [V1x_2E0: tyop_2Enum_2Enum] : p(c_2Ealignment_2Ealigned_2E2(A_27b,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2En2w_2E1(A_27b,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(V1x_2E0))))))
& ! [V2x_2E0: tyop_2Enum_2Enum] : p(c_2Ealignment_2Ealigned_2E2(A_27c,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2En2w_2E1(A_27c,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(V2x_2E0)))))
& ! [V3x_2E0: tyop_2Enum_2Enum] : p(c_2Ealignment_2Ealigned_2E2(A_27d,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__2comp_2E1(A_27d,c_2Ewords_2En2w_2E1(A_27d,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(V3x_2E0))))))))
& ! [V4x_2E0: tyop_2Enum_2Enum] : p(c_2Ealignment_2Ealigned_2E2(A_27e,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__2comp_2E1(A_27e,c_2Ewords_2En2w_2E1(A_27e,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(V4x_2E0)))))))
& ! [V5x_2E0: tyop_2Enum_2Enum] : p(c_2Ealignment_2Ealigned_2E2(A_27f,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__2comp_2E1(A_27f,c_2Ewords_2En2w_2E1(A_27f,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(V5x_2E0))))))
& ! [V6x_2E0: A_27g,V7y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),V8f_2E0: tyop_2Emin_2Efun(A_27g,tyop_2Enum_2Enum)] : ( c_2Ealignment_2Ealigned_2E2(A_27h,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__add_2E2(A_27h,V7y_2E0,c_2Ewords_2En2w_2E1(A_27h,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(app_2E2(A_27g,tyop_2Enum_2Enum,V8f_2E0,V6x_2E0)))))))) = c_2Ealignment_2Ealigned_2E2(A_27h,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__add_2E2(A_27h,V7y_2E0,c_2Ewords_2En2w_2E1(A_27h,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))))))) )
& ! [V9x_2E0: tyop_2Enum_2Enum,V10y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),V11f_2E0: A_27j] : ( c_2Ealignment_2Ealigned_2E2(A_27i,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__add_2E2(A_27i,V10y_2E0,c_2Ewords_2En2w_2E1(A_27i,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT2_2E1(V9x_2E0))))))) = c_2Ealignment_2Ealigned_2E2(A_27i,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__add_2E2(A_27i,V10y_2E0,c_2Ewords_2En2w_2E1(A_27i,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)))))) )
& ! [V12x_2E0: tyop_2Enum_2Enum,V13y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),V14f_2E0: A_27l] : ( c_2Ealignment_2Ealigned_2E2(A_27k,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__add_2E2(A_27k,V13y_2E0,c_2Ewords_2En2w_2E1(A_27k,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(V12x_2E0))))))) = c_2Ealignment_2Ealigned_2E2(A_27k,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__add_2E2(A_27k,V13y_2E0,c_2Ewords_2En2w_2E1(A_27k,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))))) )
& ! [V15x_2E0: tyop_2Enum_2Enum,V16y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),V17f_2E0: A_27n] : ( c_2Ealignment_2Ealigned_2E2(A_27m,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__add_2E2(A_27m,V16y_2E0,c_2Ewords_2En2w_2E1(A_27m,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT2_2E1(V15x_2E0))))))) = c_2Ealignment_2Ealigned_2E2(A_27m,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__add_2E2(A_27m,V16y_2E0,c_2Ewords_2En2w_2E1(A_27m,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)))))) )
& ! [V18x_2E0: tyop_2Enum_2Enum,V19y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),V20f_2E0: A_27p] : ( c_2Ealignment_2Ealigned_2E2(A_27o,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__add_2E2(A_27o,V19y_2E0,c_2Ewords_2En2w_2E1(A_27o,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(V18x_2E0))))))) = c_2Ealignment_2Ealigned_2E2(A_27o,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),V19y_2E0) )
& ! [V21x_2E0: tyop_2Enum_2Enum,V22y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27q),V23f_2E0: A_27r] : ( c_2Ealignment_2Ealigned_2E2(A_27q,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__add_2E2(A_27q,V22y_2E0,c_2Ewords_2En2w_2E1(A_27q,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT2_2E1(V21x_2E0))))))) = c_2Ealignment_2Ealigned_2E2(A_27q,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__add_2E2(A_27q,V22y_2E0,c_2Ewords_2En2w_2E1(A_27q,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)))))) )
& ! [V24x_2E0: tyop_2Enum_2Enum,V25y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27s),V26f_2E0: A_27t] : ( c_2Ealignment_2Ealigned_2E2(A_27s,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__add_2E2(A_27s,V25y_2E0,c_2Ewords_2En2w_2E1(A_27s,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(V24x_2E0))))))) = c_2Ealignment_2Ealigned_2E2(A_27s,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__add_2E2(A_27s,V25y_2E0,c_2Ewords_2En2w_2E1(A_27s,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0))))) )
& ! [V27x_2E0: tyop_2Enum_2Enum,V28y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27u),V29f_2E0: A_27v] : ( c_2Ealignment_2Ealigned_2E2(A_27u,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__add_2E2(A_27u,V28y_2E0,c_2Ewords_2En2w_2E1(A_27u,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT2_2E1(V27x_2E0))))))) = c_2Ealignment_2Ealigned_2E2(A_27u,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__add_2E2(A_27u,V28y_2E0,c_2Ewords_2En2w_2E1(A_27u,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)))))) )
& ! [V30x_2E0: A_27w,V31y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27x),V32f_2E0: tyop_2Emin_2Efun(A_27w,tyop_2Enum_2Enum)] : ( c_2Ealignment_2Ealigned_2E2(A_27x,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__sub_2E2(A_27x,V31y_2E0,c_2Ewords_2En2w_2E1(A_27x,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(app_2E2(A_27w,tyop_2Enum_2Enum,V32f_2E0,V30x_2E0)))))))) = c_2Ealignment_2Ealigned_2E2(A_27x,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__sub_2E2(A_27x,V31y_2E0,c_2Ewords_2En2w_2E1(A_27x,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))))))) )
& ! [V33x_2E0: tyop_2Enum_2Enum,V34y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27y),V35f_2E0: A_27z] : ( c_2Ealignment_2Ealigned_2E2(A_27y,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__sub_2E2(A_27y,V34y_2E0,c_2Ewords_2En2w_2E1(A_27y,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT2_2E1(V33x_2E0))))))) = c_2Ealignment_2Ealigned_2E2(A_27y,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__sub_2E2(A_27y,V34y_2E0,c_2Ewords_2En2w_2E1(A_27y,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)))))) )
& ! [V36x_2E0: tyop_2Enum_2Enum,V37y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a0),V38f_2E0: A_27a1] : ( c_2Ealignment_2Ealigned_2E2(A_27a0,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__sub_2E2(A_27a0,V37y_2E0,c_2Ewords_2En2w_2E1(A_27a0,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(V36x_2E0))))))) = c_2Ealignment_2Ealigned_2E2(A_27a0,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__sub_2E2(A_27a0,V37y_2E0,c_2Ewords_2En2w_2E1(A_27a0,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))))) )
& ! [V39x_2E0: tyop_2Enum_2Enum,V40y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a2),V41f_2E0: A_27a3] : ( c_2Ealignment_2Ealigned_2E2(A_27a2,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__sub_2E2(A_27a2,V40y_2E0,c_2Ewords_2En2w_2E1(A_27a2,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT2_2E1(V39x_2E0))))))) = c_2Ealignment_2Ealigned_2E2(A_27a2,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__sub_2E2(A_27a2,V40y_2E0,c_2Ewords_2En2w_2E1(A_27a2,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)))))) )
& ! [V42x_2E0: tyop_2Enum_2Enum,V43y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a4),V44f_2E0: A_27a5] : ( c_2Ealignment_2Ealigned_2E2(A_27a4,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__sub_2E2(A_27a4,V43y_2E0,c_2Ewords_2En2w_2E1(A_27a4,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(V42x_2E0))))))) = c_2Ealignment_2Ealigned_2E2(A_27a4,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),V43y_2E0) )
& ! [V45x_2E0: tyop_2Enum_2Enum,V46y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a6),V47f_2E0: A_27a7] : ( c_2Ealignment_2Ealigned_2E2(A_27a6,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__sub_2E2(A_27a6,V46y_2E0,c_2Ewords_2En2w_2E1(A_27a6,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT2_2E1(V45x_2E0))))))) = c_2Ealignment_2Ealigned_2E2(A_27a6,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__sub_2E2(A_27a6,V46y_2E0,c_2Ewords_2En2w_2E1(A_27a6,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)))))) )
& ! [V48x_2E0: tyop_2Enum_2Enum,V49y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a8),V50f_2E0: A_27a9] : ( c_2Ealignment_2Ealigned_2E2(A_27a8,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__sub_2E2(A_27a8,V49y_2E0,c_2Ewords_2En2w_2E1(A_27a8,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(V48x_2E0))))))) = c_2Ealignment_2Ealigned_2E2(A_27a8,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__sub_2E2(A_27a8,V49y_2E0,c_2Ewords_2En2w_2E1(A_27a8,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0))))) )
& ! [V51x_2E0: tyop_2Enum_2Enum,V52y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a10),V53f_2E0: A_27a11] : ( c_2Ealignment_2Ealigned_2E2(A_27a10,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__sub_2E2(A_27a10,V52y_2E0,c_2Ewords_2En2w_2E1(A_27a10,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT2_2E1(V51x_2E0))))))) = c_2Ealignment_2Ealigned_2E2(A_27a10,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))),c_2Ewords_2Eword__sub_2E2(A_27a10,V52y_2E0,c_2Ewords_2En2w_2E1(A_27a10,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)))))) )
& ! [V54x_2E0: A_27a12,V55y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a13),V56f_2E0: tyop_2Emin_2Efun(A_27a12,tyop_2Enum_2Enum)] : ( c_2Ealignment_2Ealigned_2E2(A_27a13,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__add_2E2(A_27a13,V55y_2E0,c_2Ewords_2En2w_2E1(A_27a13,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(app_2E2(A_27a12,tyop_2Enum_2Enum,V56f_2E0,V54x_2E0))))))) = c_2Ealignment_2Ealigned_2E2(A_27a13,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__add_2E2(A_27a13,V55y_2E0,c_2Ewords_2En2w_2E1(A_27a13,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)))))) )
& ! [V57x_2E0: tyop_2Enum_2Enum,V58y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a14)] : ( c_2Ealignment_2Ealigned_2E2(A_27a14,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__add_2E2(A_27a14,V58y_2E0,c_2Ewords_2En2w_2E1(A_27a14,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT2_2E1(V57x_2E0)))))) = c_2Ealignment_2Ealigned_2E2(A_27a14,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__add_2E2(A_27a14,V58y_2E0,c_2Ewords_2En2w_2E1(A_27a14,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))))) )
& ! [V59x_2E0: tyop_2Enum_2Enum,V60y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a15)] : ( c_2Ealignment_2Ealigned_2E2(A_27a15,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__add_2E2(A_27a15,V60y_2E0,c_2Ewords_2En2w_2E1(A_27a15,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(V59x_2E0)))))) = c_2Ealignment_2Ealigned_2E2(A_27a15,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),V60y_2E0) )
& ! [V61x_2E0: tyop_2Enum_2Enum,V62y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a16)] : ( c_2Ealignment_2Ealigned_2E2(A_27a16,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__add_2E2(A_27a16,V62y_2E0,c_2Ewords_2En2w_2E1(A_27a16,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT2_2E1(V61x_2E0)))))) = c_2Ealignment_2Ealigned_2E2(A_27a16,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__add_2E2(A_27a16,V62y_2E0,c_2Ewords_2En2w_2E1(A_27a16,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0))))) )
& ! [V63x_2E0: A_27a17,V64y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a18),V65f_2E0: tyop_2Emin_2Efun(A_27a17,tyop_2Enum_2Enum)] : ( c_2Ealignment_2Ealigned_2E2(A_27a18,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__sub_2E2(A_27a18,V64y_2E0,c_2Ewords_2En2w_2E1(A_27a18,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(app_2E2(A_27a17,tyop_2Enum_2Enum,V65f_2E0,V63x_2E0))))))) = c_2Ealignment_2Ealigned_2E2(A_27a18,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__sub_2E2(A_27a18,V64y_2E0,c_2Ewords_2En2w_2E1(A_27a18,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)))))) )
& ! [V66x_2E0: tyop_2Enum_2Enum,V67y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a19)] : ( c_2Ealignment_2Ealigned_2E2(A_27a19,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__sub_2E2(A_27a19,V67y_2E0,c_2Ewords_2En2w_2E1(A_27a19,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EBIT2_2E1(V66x_2E0)))))) = c_2Ealignment_2Ealigned_2E2(A_27a19,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__sub_2E2(A_27a19,V67y_2E0,c_2Ewords_2En2w_2E1(A_27a19,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))))) )
& ! [V68x_2E0: tyop_2Enum_2Enum,V69y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a20)] : ( c_2Ealignment_2Ealigned_2E2(A_27a20,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__sub_2E2(A_27a20,V69y_2E0,c_2Ewords_2En2w_2E1(A_27a20,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT1_2E1(V68x_2E0)))))) = c_2Ealignment_2Ealigned_2E2(A_27a20,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),V69y_2E0) )
& ! [V70x_2E0: tyop_2Enum_2Enum,V71y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a21)] : ( c_2Ealignment_2Ealigned_2E2(A_27a21,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__sub_2E2(A_27a21,V71y_2E0,c_2Ewords_2En2w_2E1(A_27a21,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EBIT2_2E1(V70x_2E0)))))) = c_2Ealignment_2Ealigned_2E2(A_27a21,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__sub_2E2(A_27a21,V71y_2E0,c_2Ewords_2En2w_2E1(A_27a21,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(c_2Earithmetic_2EZERO_2E0))))) )
& ! [V72x_2E0: A_27a22,V73y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a23),V74f_2E0: tyop_2Emin_2Efun(A_27a22,tyop_2Enum_2Enum)] : ( c_2Ealignment_2Ealigned_2E2(A_27a23,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__add_2E2(A_27a23,V73y_2E0,c_2Ewords_2En2w_2E1(A_27a23,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(app_2E2(A_27a22,tyop_2Enum_2Enum,V74f_2E0,V72x_2E0)))))) = c_2Ealignment_2Ealigned_2E2(A_27a23,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__add_2E2(A_27a23,V73y_2E0,c_2Ewords_2En2w_2E1(A_27a23,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))))) )
& ! [V75x_2E0: A_27a24,V76y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a25),V77f_2E0: tyop_2Emin_2Efun(A_27a24,tyop_2Enum_2Enum)] : ( c_2Ealignment_2Ealigned_2E2(A_27a25,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__sub_2E2(A_27a25,V76y_2E0,c_2Ewords_2En2w_2E1(A_27a25,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(app_2E2(A_27a24,tyop_2Enum_2Enum,V77f_2E0,V75x_2E0)))))) = c_2Ealignment_2Ealigned_2E2(A_27a25,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__sub_2E2(A_27a25,V76y_2E0,c_2Ewords_2En2w_2E1(A_27a25,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0))))) )
& ! [V78x_2E0: tyop_2Enum_2Enum,V79y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a26)] : ( c_2Ealignment_2Ealigned_2E2(A_27a26,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__add_2E2(A_27a26,V79y_2E0,c_2Ewords_2En2w_2E1(A_27a26,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(V78x_2E0))))) = c_2Ealignment_2Ealigned_2E2(A_27a26,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)),V79y_2E0) )
& ! [V80x_2E0: tyop_2Enum_2Enum,V81y_2E0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a27)] : ( c_2Ealignment_2Ealigned_2E2(A_27a27,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)),c_2Ewords_2Eword__sub_2E2(A_27a27,V81y_2E0,c_2Ewords_2En2w_2E1(A_27a27,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT2_2E1(V80x_2E0))))) = c_2Ealignment_2Ealigned_2E2(A_27a27,c_2Earithmetic_2ENUMERAL_2E1(c_2Earithmetic_2EBIT1_2E1(c_2Earithmetic_2EZERO_2E0)),V81y_2E0) ) ) ).
%------------------------------------------------------------------------------