ITP001 Axioms: ITP093^5.ax
%------------------------------------------------------------------------------
% File : ITP093^5 : TPTP v9.0.0. Bugfixed v7.5.0.
% Domain : Interactive Theorem Proving
% Axioms : HOL4 set theory export, chainy mode
% Version : [BG+19] axioms.
% English :
% Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% : [Gau20] Gauthier (2020), Email to Geoff Sutcliffe
% Source : [BG+19]
% Names : alignment^2.ax [Gau20]
% : HL4093^5.ax [TPAP]
% Status : Satisfiable
% Syntax : Number of formulae : 34 ( 0 unt; 4 typ; 0 def)
% Number of atoms : 2406 ( 16 equ; 0 cnn)
% Maximal formula atoms : 1438 ( 70 avg)
% Number of connectives : 3221 ( 1 ~; 1 |; 51 &;3026 @)
% ( 45 <=>; 97 =>; 0 <=; 0 <~>)
% Maximal formula depth : 102 ( 15 avg;3026 nst)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 47 ( 46 usr; 42 con; 0-2 aty)
% Number of variables : 224 ( 0 ^ 224 !; 0 ?; 224 :)
% SPC : TH0_SAT_EQU_NAR
% Comments :
% Bugfixes : v7.5.0 - Fixes to the axioms.
%------------------------------------------------------------------------------
thf(tp_c_2Ealignment_2Ealign,type,
c_2Ealignment_2Ealign: del > $i ).
thf(mem_c_2Ealignment_2Ealign,axiom,
! [A_27a: del] : ( mem @ ( c_2Ealignment_2Ealign @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) ) ) ).
thf(tp_c_2Ealignment_2Ealigned,type,
c_2Ealignment_2Ealigned: del > $i ).
thf(mem_c_2Ealignment_2Ealigned,axiom,
! [A_27a: del] : ( mem @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) @ bool ) ) ) ).
thf(tp_c_2Ealignment_2Ebyte__align,type,
c_2Ealignment_2Ebyte__align: del > $i ).
thf(mem_c_2Ealignment_2Ebyte__align,axiom,
! [A_27a: del] : ( mem @ ( c_2Ealignment_2Ebyte__align @ A_27a ) @ ( arr @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) ) ).
thf(tp_c_2Ealignment_2Ebyte__aligned,type,
c_2Ealignment_2Ebyte__aligned: del > $i ).
thf(mem_c_2Ealignment_2Ebyte__aligned,axiom,
! [A_27a: del] : ( mem @ ( c_2Ealignment_2Ebyte__aligned @ A_27a ) @ ( arr @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) @ bool ) ) ).
thf(ax_thm_2Ealignment_2Ealign__def,axiom,
! [A_27a: del,V0p: tp__ty_2Enum_2Enum,V1w: $i] :
( ( mem @ V1w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ap @ ( ap @ ( c_2Ealignment_2Ealign @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V1w )
= ( ap @ ( ap @ ( ap @ ( c_2Ewords_2Eword__slice @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V1w ) ) ) ).
thf(ax_thm_2Ealignment_2Ealigned__def,axiom,
! [A_27a: del,V0p: tp__ty_2Enum_2Enum,V1w: $i] :
( ( mem @ V1w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V1w ) )
<=> ( ( ap @ ( ap @ ( c_2Ealignment_2Ealign @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V1w )
= V1w ) ) ) ).
thf(ax_thm_2Ealignment_2Ebyte__align__def,axiom,
! [A_27a: del,V0w: $i] :
( ( mem @ V0w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ap @ ( c_2Ealignment_2Ebyte__align @ A_27a ) @ V0w )
= ( ap @ ( ap @ ( c_2Ealignment_2Ealign @ A_27a ) @ ( ap @ c_2Ebit_2ELOG2 @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ V0w ) ) ) ).
thf(ax_thm_2Ealignment_2Ebyte__aligned__def,axiom,
! [A_27a: del,V0w: $i] :
( ( mem @ V0w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( p @ ( ap @ ( c_2Ealignment_2Ebyte__aligned @ A_27a ) @ V0w ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( ap @ c_2Ebit_2ELOG2 @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ V0w ) ) ) ) ).
thf(conj_thm_2Ealignment_2Ealign__0,axiom,
! [A_27a: del,V0w: $i] :
( ( mem @ V0w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ap @ ( ap @ ( c_2Ealignment_2Ealign @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0w )
= V0w ) ) ).
thf(conj_thm_2Ealignment_2Ealign__align,axiom,
! [A_27a: del,V0p: tp__ty_2Enum_2Enum,V1w: $i] :
( ( mem @ V1w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ap @ ( ap @ ( c_2Ealignment_2Ealign @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( ap @ ( ap @ ( c_2Ealignment_2Ealign @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V1w ) )
= ( ap @ ( ap @ ( c_2Ealignment_2Ealign @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V1w ) ) ) ).
thf(conj_thm_2Ealignment_2Ealigned__align,axiom,
! [A_27a: del,V0p: tp__ty_2Enum_2Enum,V1w: $i] :
( ( mem @ V1w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( ap @ ( ap @ ( c_2Ealignment_2Ealign @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V1w ) ) ) ) ).
thf(conj_thm_2Ealignment_2Ealign__aligned,axiom,
! [A_27a: del,V0p: tp__ty_2Enum_2Enum,V1w: $i] :
( ( mem @ V1w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V1w ) )
=> ( ( ap @ ( ap @ ( c_2Ealignment_2Ealign @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V1w )
= V1w ) ) ) ).
thf(conj_thm_2Ealignment_2Ealign__bitwise__and,axiom,
! [A_27a: del,V0p: tp__ty_2Enum_2Enum,V1w: $i] :
( ( mem @ V1w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ap @ ( ap @ ( c_2Ealignment_2Ealign @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V1w )
= ( ap @ ( ap @ ( c_2Ewords_2Eword__and @ A_27a ) @ V1w ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__lsl @ A_27a ) @ ( c_2Ewords_2Eword__T @ A_27a ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) ) ) ).
thf(conj_thm_2Ealignment_2Ealign__shift,axiom,
! [A_27a: del,V0p: tp__ty_2Enum_2Enum,V1w: $i] :
( ( mem @ V1w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ap @ ( ap @ ( c_2Ealignment_2Ealign @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V1w )
= ( ap @ ( ap @ ( c_2Ewords_2Eword__lsl @ A_27a ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__lsr @ A_27a ) @ V1w ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) ) ).
thf(conj_thm_2Ealignment_2Ealign__w2n,axiom,
! [A_27a: del,V0p: tp__ty_2Enum_2Enum,V1w: $i] :
( ( mem @ V1w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ap @ ( ap @ ( c_2Ealignment_2Ealign @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V1w )
= ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( c_2Ewords_2Ew2n @ A_27a ) @ V1w ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) ) ) ) ).
thf(conj_thm_2Ealignment_2Ealign__sub,axiom,
! [A_27a: del,V0p: tp__ty_2Enum_2Enum,V1w: $i] :
( ( mem @ V1w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ap @ ( ap @ ( c_2Ealignment_2Ealign @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V1w )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ V1w ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a ) @ V1w ) @ ( ap @ ( ap @ ( ap @ ( c_2Ewords_2Eword__extract @ A_27a @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V1w ) ) ) ) ) ).
thf(conj_thm_2Ealignment_2Ealigned__extract,axiom,
! [A_27a: del,V0p: tp__ty_2Enum_2Enum,V1w: $i] :
( ( mem @ V1w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V1w ) )
<=> ( ( V0p = fo__c_2Enum_2E0 )
| ( ( ap @ ( ap @ ( ap @ ( c_2Ewords_2Eword__extract @ A_27a @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V1w )
= ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ) ).
thf(conj_thm_2Ealignment_2Ealigned__0,axiom,
! [A_27a: del,A_27b: del] :
( ! [V0p: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
& ! [V1w: $i] :
( ( mem @ V1w @ ( ty_2Efcp_2Ecart @ bool @ A_27b ) )
=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27b ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V1w ) ) ) ) ).
thf(conj_thm_2Ealignment_2Ealigned__1__lsb,axiom,
! [A_27a: del,V0w: $i] :
( ( mem @ V0w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V0w ) )
<=> ~ ( p @ ( ap @ ( c_2Ewords_2Eword__lsb @ A_27a ) @ V0w ) ) ) ) ).
thf(conj_thm_2Ealignment_2Ealigned__ge__dim,axiom,
! [A_27a: del,V0p: tp__ty_2Enum_2Enum,V1w: $i] :
( ( mem @ V1w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V1w ) )
<=> ( V1w
= ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ) ).
thf(conj_thm_2Ealignment_2Ealigned__bitwise__and,axiom,
! [A_27a: del,V0p: tp__ty_2Enum_2Enum,V1w: $i] :
( ( mem @ V1w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V1w ) )
<=> ( ( ap @ ( ap @ ( c_2Ewords_2Eword__and @ A_27a ) @ V1w ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
= ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ).
thf(conj_thm_2Ealignment_2Ealigned__bit__count__upto,axiom,
! [A_27a: del,V0p: tp__ty_2Enum_2Enum,V1w: $i] :
( ( mem @ V1w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V1w ) )
<=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Ewords_2Ebit__count__upto @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) @ V1w ) )
= fo__c_2Enum_2E0 ) ) ) ).
thf(conj_thm_2Ealignment_2Ealigned__add__sub,axiom,
! [A_27a: del,V0p: tp__ty_2Enum_2Enum,V1a: $i] :
( ( mem @ V1a @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ! [V2b: $i] :
( ( mem @ V2b @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V2b ) )
=> ( ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27a ) @ V1a ) @ V2b ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V1a ) ) )
& ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a ) @ V1a ) @ V2b ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V1a ) ) ) ) ) ) ) ).
thf(conj_thm_2Ealignment_2Ealigned__add__sub__cor,axiom,
! [A_27a: del,V0p: tp__ty_2Enum_2Enum,V1a: $i] :
( ( mem @ V1a @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ! [V2b: $i] :
( ( mem @ V2b @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V1a ) )
& ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V2b ) ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27a ) @ V1a ) @ V2b ) ) )
& ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a ) @ V1a ) @ V2b ) ) ) ) ) ) ) ).
thf(conj_thm_2Ealignment_2Ealigned__mul__shift__1,axiom,
! [A_27a: del,V0p: tp__ty_2Enum_2Enum,V1w: $i] :
( ( mem @ V1w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__mul @ A_27a ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__lsl @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) @ V1w ) ) ) ) ).
thf(conj_thm_2Ealignment_2Ealigned__add__sub__prod,axiom,
! [A_27a: del,V0p: tp__ty_2Enum_2Enum,V1w: $i] :
( ( mem @ V1w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ! [V2x: $i] :
( ( mem @ V2x @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27a ) @ V1w ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__mul @ A_27a ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__lsl @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) @ V2x ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V1w ) ) )
& ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a ) @ V1w ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__mul @ A_27a ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__lsl @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) @ V2x ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V1w ) ) ) ) ) ) ).
thf(conj_thm_2Ealignment_2Ealigned__imp,axiom,
! [A_27a: del,V0p: tp__ty_2Enum_2Enum,V1q: tp__ty_2Enum_2Enum,V2w: $i] :
( ( mem @ V2w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1q ) ) )
& ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1q ) ) @ V2w ) ) )
=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V2w ) ) ) ) ).
thf(conj_thm_2Ealignment_2Ealign__add__aligned,axiom,
! [A_27a: del,V0p: tp__ty_2Enum_2Enum,V1a: $i] :
( ( mem @ V1a @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ! [V2b: $i] :
( ( mem @ V2b @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ V1a ) )
& ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( c_2Ewords_2Ew2n @ A_27a ) @ V2b ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) ) )
=> ( ( ap @ ( ap @ ( c_2Ealignment_2Ealign @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27a ) @ V1a ) @ V2b ) )
= V1a ) ) ) ) ).
thf(conj_thm_2Ealignment_2Ealigned__add__sub__123,axiom,
! [A_27a: del] :
( ! [V0w: $i] :
( ( mem @ V0w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ! [V1x: $i] :
( ( mem @ V1x @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27a ) @ V0w ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__mul @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V1x ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V0w ) ) )
& ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a ) @ V0w ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__mul @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V1x ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V0w ) ) ) ) ) )
& ! [V2x: $i] :
( ( mem @ V2x @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__mul @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V2x ) ) )
& ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__mul @ A_27a ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ V2x ) ) ) ) )
& ! [V3w: $i] :
( ( mem @ V3w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ! [V4x: $i] :
( ( mem @ V4x @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27a ) @ V3w ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__mul @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ V4x ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V3w ) ) )
& ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a ) @ V3w ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__mul @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ V4x ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V3w ) ) ) ) ) )
& ! [V5x: $i] :
( ( mem @ V5x @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__mul @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ V5x ) ) )
& ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__mul @ A_27a ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ V5x ) ) ) ) )
& ! [V6w: $i] :
( ( mem @ V6w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ! [V7x: $i] :
( ( mem @ V7x @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27a ) @ V6w ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__mul @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ V7x ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V6w ) ) )
& ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a ) @ V6w ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__mul @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ V7x ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V6w ) ) ) ) ) )
& ! [V8x: $i] :
( ( mem @ V8x @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__mul @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ V8x ) ) )
& ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__mul @ A_27a ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ V8x ) ) ) ) ) ) ).
thf(conj_thm_2Ealignment_2Ealigned__numeric,axiom,
! [A_27a: del,A_27a0: del,A_27a1: del,A_27a10: del,A_27a11: del,A_27a12: del,A_27a13: del,A_27a14: del,A_27a15: del,A_27a16: del,A_27a17: del,A_27a18: del,A_27a19: del,A_27a2: del,A_27a20: del,A_27a21: del,A_27a22: del,A_27a23: del,A_27a24: del,A_27a25: del,A_27a26: del,A_27a27: del,A_27a3: del,A_27a4: del,A_27a5: del,A_27a6: del,A_27a7: del,A_27a8: del,A_27a9: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del,A_27f: del,A_27g: del,A_27h: del,A_27i: del,A_27j: del,A_27k: del,A_27l: del,A_27m: del,A_27n: del,A_27o: del,A_27p: del,A_27q: del,A_27r: del,A_27s: del,A_27t: del,A_27u: del,A_27v: del,A_27w: del,A_27x: del,A_27y: del,A_27z: del] :
( ! [V0x: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) ) ) ) )
& ! [V1x: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Ewords_2En2w @ A_27b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ) ) ) )
& ! [V2x: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27c ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Ewords_2En2w @ A_27c ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) ) ) )
& ! [V3x: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27d ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ A_27d ) @ ( ap @ ( c_2Ewords_2En2w @ A_27d ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3x ) ) ) ) ) ) ) ) )
& ! [V4x: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27e ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ A_27e ) @ ( ap @ ( c_2Ewords_2En2w @ A_27e ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V4x ) ) ) ) ) ) ) )
& ! [V5x: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27f ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ A_27f ) @ ( ap @ ( c_2Ewords_2En2w @ A_27f ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V5x ) ) ) ) ) ) )
& ! [V6x: $i] :
( ( mem @ V6x @ A_27g )
=> ! [V7y: $i] :
( ( mem @ V7y @ ( ty_2Efcp_2Ecart @ bool @ A_27h ) )
=> ! [V8f: $i] :
( ( mem @ V8f @ ( arr @ A_27g @ ty_2Enum_2Enum ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27h ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27h ) @ V7y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27h ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ V8f @ V6x ) ) ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27h ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27h ) @ V7y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27h ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) )
& ! [V9x: tp__ty_2Enum_2Enum,V10y: $i] :
( ( mem @ V10y @ ( ty_2Efcp_2Ecart @ bool @ A_27i ) )
=> ! [V11f: $i] :
( ( mem @ V11f @ A_27j )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27i ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27i ) @ V10y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27i ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V9x ) ) ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27i ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27i ) @ V10y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27i ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
& ! [V12x: tp__ty_2Enum_2Enum,V13y: $i] :
( ( mem @ V13y @ ( ty_2Efcp_2Ecart @ bool @ A_27k ) )
=> ! [V14f: $i] :
( ( mem @ V14f @ A_27l )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27k ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27k ) @ V13y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27k ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V12x ) ) ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27k ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27k ) @ V13y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27k ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
& ! [V15x: tp__ty_2Enum_2Enum,V16y: $i] :
( ( mem @ V16y @ ( ty_2Efcp_2Ecart @ bool @ A_27m ) )
=> ! [V17f: $i] :
( ( mem @ V17f @ A_27n )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27m ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27m ) @ V16y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27m ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V15x ) ) ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27m ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27m ) @ V16y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27m ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
& ! [V18x: tp__ty_2Enum_2Enum,V19y: $i] :
( ( mem @ V19y @ ( ty_2Efcp_2Ecart @ bool @ A_27o ) )
=> ! [V20f: $i] :
( ( mem @ V20f @ A_27p )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27o ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27o ) @ V19y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27o ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V18x ) ) ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27o ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V19y ) ) ) ) )
& ! [V21x: tp__ty_2Enum_2Enum,V22y: $i] :
( ( mem @ V22y @ ( ty_2Efcp_2Ecart @ bool @ A_27q ) )
=> ! [V23f: $i] :
( ( mem @ V23f @ A_27r )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27q ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27q ) @ V22y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27q ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V21x ) ) ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27q ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27q ) @ V22y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27q ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
& ! [V24x: tp__ty_2Enum_2Enum,V25y: $i] :
( ( mem @ V25y @ ( ty_2Efcp_2Ecart @ bool @ A_27s ) )
=> ! [V26f: $i] :
( ( mem @ V26f @ A_27t )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27s ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27s ) @ V25y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27s ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V24x ) ) ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27s ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27s ) @ V25y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27s ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
& ! [V27x: tp__ty_2Enum_2Enum,V28y: $i] :
( ( mem @ V28y @ ( ty_2Efcp_2Ecart @ bool @ A_27u ) )
=> ! [V29f: $i] :
( ( mem @ V29f @ A_27v )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27u ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27u ) @ V28y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27u ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V27x ) ) ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27u ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27u ) @ V28y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27u ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
& ! [V30x: $i] :
( ( mem @ V30x @ A_27w )
=> ! [V31y: $i] :
( ( mem @ V31y @ ( ty_2Efcp_2Ecart @ bool @ A_27x ) )
=> ! [V32f: $i] :
( ( mem @ V32f @ ( arr @ A_27w @ ty_2Enum_2Enum ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27x ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27x ) @ V31y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27x ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ V32f @ V30x ) ) ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27x ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27x ) @ V31y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27x ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) )
& ! [V33x: tp__ty_2Enum_2Enum,V34y: $i] :
( ( mem @ V34y @ ( ty_2Efcp_2Ecart @ bool @ A_27y ) )
=> ! [V35f: $i] :
( ( mem @ V35f @ A_27z )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27y ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27y ) @ V34y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27y ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V33x ) ) ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27y ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27y ) @ V34y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27y ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
& ! [V36x: tp__ty_2Enum_2Enum,V37y: $i] :
( ( mem @ V37y @ ( ty_2Efcp_2Ecart @ bool @ A_27a0 ) )
=> ! [V38f: $i] :
( ( mem @ V38f @ A_27a1 )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a0 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a0 ) @ V37y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a0 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V36x ) ) ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a0 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a0 ) @ V37y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a0 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
& ! [V39x: tp__ty_2Enum_2Enum,V40y: $i] :
( ( mem @ V40y @ ( ty_2Efcp_2Ecart @ bool @ A_27a2 ) )
=> ! [V41f: $i] :
( ( mem @ V41f @ A_27a3 )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a2 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a2 ) @ V40y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a2 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V39x ) ) ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a2 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a2 ) @ V40y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a2 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
& ! [V42x: tp__ty_2Enum_2Enum,V43y: $i] :
( ( mem @ V43y @ ( ty_2Efcp_2Ecart @ bool @ A_27a4 ) )
=> ! [V44f: $i] :
( ( mem @ V44f @ A_27a5 )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a4 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a4 ) @ V43y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a4 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V42x ) ) ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a4 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V43y ) ) ) ) )
& ! [V45x: tp__ty_2Enum_2Enum,V46y: $i] :
( ( mem @ V46y @ ( ty_2Efcp_2Ecart @ bool @ A_27a6 ) )
=> ! [V47f: $i] :
( ( mem @ V47f @ A_27a7 )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a6 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a6 ) @ V46y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a6 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V45x ) ) ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a6 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a6 ) @ V46y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a6 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
& ! [V48x: tp__ty_2Enum_2Enum,V49y: $i] :
( ( mem @ V49y @ ( ty_2Efcp_2Ecart @ bool @ A_27a8 ) )
=> ! [V50f: $i] :
( ( mem @ V50f @ A_27a9 )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a8 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a8 ) @ V49y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a8 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V48x ) ) ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a8 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a8 ) @ V49y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a8 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
& ! [V51x: tp__ty_2Enum_2Enum,V52y: $i] :
( ( mem @ V52y @ ( ty_2Efcp_2Ecart @ bool @ A_27a10 ) )
=> ! [V53f: $i] :
( ( mem @ V53f @ A_27a11 )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a10 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a10 ) @ V52y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a10 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V51x ) ) ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a10 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a10 ) @ V52y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a10 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
& ! [V54x: $i] :
( ( mem @ V54x @ A_27a12 )
=> ! [V55y: $i] :
( ( mem @ V55y @ ( ty_2Efcp_2Ecart @ bool @ A_27a13 ) )
=> ! [V56f: $i] :
( ( mem @ V56f @ ( arr @ A_27a12 @ ty_2Enum_2Enum ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a13 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27a13 ) @ V55y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a13 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ V56f @ V54x ) ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a13 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27a13 ) @ V55y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a13 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) )
& ! [V57x: tp__ty_2Enum_2Enum,V58y: $i] :
( ( mem @ V58y @ ( ty_2Efcp_2Ecart @ bool @ A_27a14 ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a14 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27a14 ) @ V58y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a14 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V57x ) ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a14 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27a14 ) @ V58y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a14 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
& ! [V59x: tp__ty_2Enum_2Enum,V60y: $i] :
( ( mem @ V60y @ ( ty_2Efcp_2Ecart @ bool @ A_27a15 ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a15 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27a15 ) @ V60y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a15 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V59x ) ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a15 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V60y ) ) ) )
& ! [V61x: tp__ty_2Enum_2Enum,V62y: $i] :
( ( mem @ V62y @ ( ty_2Efcp_2Ecart @ bool @ A_27a16 ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a16 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27a16 ) @ V62y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a16 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V61x ) ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a16 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27a16 ) @ V62y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a16 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
& ! [V63x: $i] :
( ( mem @ V63x @ A_27a17 )
=> ! [V64y: $i] :
( ( mem @ V64y @ ( ty_2Efcp_2Ecart @ bool @ A_27a18 ) )
=> ! [V65f: $i] :
( ( mem @ V65f @ ( arr @ A_27a17 @ ty_2Enum_2Enum ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a18 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a18 ) @ V64y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a18 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ V65f @ V63x ) ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a18 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a18 ) @ V64y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a18 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) )
& ! [V66x: tp__ty_2Enum_2Enum,V67y: $i] :
( ( mem @ V67y @ ( ty_2Efcp_2Ecart @ bool @ A_27a19 ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a19 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a19 ) @ V67y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a19 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V66x ) ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a19 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a19 ) @ V67y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a19 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
& ! [V68x: tp__ty_2Enum_2Enum,V69y: $i] :
( ( mem @ V69y @ ( ty_2Efcp_2Ecart @ bool @ A_27a20 ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a20 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a20 ) @ V69y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a20 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V68x ) ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a20 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V69y ) ) ) )
& ! [V70x: tp__ty_2Enum_2Enum,V71y: $i] :
( ( mem @ V71y @ ( ty_2Efcp_2Ecart @ bool @ A_27a21 ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a21 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a21 ) @ V71y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a21 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V70x ) ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a21 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a21 ) @ V71y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a21 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
& ! [V72x: $i] :
( ( mem @ V72x @ A_27a22 )
=> ! [V73y: $i] :
( ( mem @ V73y @ ( ty_2Efcp_2Ecart @ bool @ A_27a23 ) )
=> ! [V74f: $i] :
( ( mem @ V74f @ ( arr @ A_27a22 @ ty_2Enum_2Enum ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a23 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27a23 ) @ V73y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a23 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ V74f @ V72x ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a23 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27a23 ) @ V73y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a23 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
& ! [V75x: $i] :
( ( mem @ V75x @ A_27a24 )
=> ! [V76y: $i] :
( ( mem @ V76y @ ( ty_2Efcp_2Ecart @ bool @ A_27a25 ) )
=> ! [V77f: $i] :
( ( mem @ V77f @ ( arr @ A_27a24 @ ty_2Enum_2Enum ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a25 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a25 ) @ V76y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a25 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ V77f @ V75x ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a25 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a25 ) @ V76y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a25 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
& ! [V78x: tp__ty_2Enum_2Enum,V79y: $i] :
( ( mem @ V79y @ ( ty_2Efcp_2Ecart @ bool @ A_27a26 ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a26 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27a26 ) @ V79y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a26 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V78x ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a26 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V79y ) ) ) )
& ! [V80x: tp__ty_2Enum_2Enum,V81y: $i] :
( ( mem @ V81y @ ( ty_2Efcp_2Ecart @ bool @ A_27a27 ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a27 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a27 ) @ V81y ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a27 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V80x ) ) ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ ( c_2Ealignment_2Ealigned @ A_27a27 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V81y ) ) ) ) ) ).
%------------------------------------------------------------------------------