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 : 79 ( 16 unt; 46 typ; 0 def)
% Number of atoms : 179 ( 56 equ; 2 cnn)
% Maximal formula atoms : 34 ( 2 avg)
% Number of connectives : 1617 ( 2 ~; 2 |; 52 &;1541 @)
% ( 13 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 90 ( 10 avg;1541 nst)
% Number of types : 3 ( 2 usr)
% Number of type conns : 78 ( 78 >; 0 *; 0 +; 0 <<)
% Number of symbols : 46 ( 44 usr; 3 con; 0-5 aty)
% Number of variables : 261 ( 0 ^ 235 !; 1 ?; 261 :)
% ( 25 !>; 0 ?*; 0 @-; 0 @+)
% SPC : TH1_SAT_EQU_NAR
% Comments :
% Bugfixes : v7.5.0 - Fixes to the axioms.
%------------------------------------------------------------------------------
thf(tyop_2Ebool_2Eitself,type,
tyop_2Ebool_2Eitself: $tType > $tType ).
thf(tyop_2Efcp_2Ecart,type,
tyop_2Efcp_2Ecart: $tType > $tType > $tType ).
thf(tyop_2Emin_2Ebool,type,
tyop_2Emin_2Ebool: $tType ).
thf(tyop_2Emin_2Efun,type,
tyop_2Emin_2Efun: $tType > $tType > $tType ).
thf(tyop_2Enum_2Enum,type,
tyop_2Enum_2Enum: $tType ).
thf(c_2Ebool_2E_21,type,
c_2Ebool_2E_21:
!>[A_27a: $tType] : ( ( A_27a > $o ) > $o ) ).
thf(c_2Earithmetic_2E_2A,type,
c_2Earithmetic_2E_2A: tyop_2Enum_2Enum > tyop_2Enum_2Enum > tyop_2Enum_2Enum ).
thf(c_2Earithmetic_2E_2D,type,
c_2Earithmetic_2E_2D: tyop_2Enum_2Enum > tyop_2Enum_2Enum > tyop_2Enum_2Enum ).
thf(c_2Ebool_2E_2F_5C,type,
c_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(c_2Enum_2E0,type,
c_2Enum_2E0: tyop_2Enum_2Enum ).
thf(c_2Eprim__rec_2E_3C,type,
c_2Eprim__rec_2E_3C: tyop_2Enum_2Enum > tyop_2Enum_2Enum > $o ).
thf(c_2Earithmetic_2E_3C_3D,type,
c_2Earithmetic_2E_3C_3D: tyop_2Enum_2Enum > tyop_2Enum_2Enum > $o ).
thf(c_2Emin_2E_3D,type,
c_2Emin_2E_3D:
!>[A_27a: $tType] : ( A_27a > A_27a > $o ) ).
thf(c_2Emin_2E_3D_3D_3E,type,
c_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(c_2Ebool_2E_3F,type,
c_2Ebool_2E_3F:
!>[A_27a: $tType] : ( ( A_27a > $o ) > $o ) ).
thf(c_2Earithmetic_2EBIT1,type,
c_2Earithmetic_2EBIT1: tyop_2Enum_2Enum > tyop_2Enum_2Enum ).
thf(c_2Earithmetic_2EBIT2,type,
c_2Earithmetic_2EBIT2: tyop_2Enum_2Enum > tyop_2Enum_2Enum ).
thf(c_2Ebool_2ECOND,type,
c_2Ebool_2ECOND:
!>[A_27a: $tType] : ( $o > A_27a > A_27a > A_27a ) ).
thf(c_2Earithmetic_2EDIV,type,
c_2Earithmetic_2EDIV: tyop_2Enum_2Enum > tyop_2Enum_2Enum > tyop_2Enum_2Enum ).
thf(c_2Earithmetic_2EEXP,type,
c_2Earithmetic_2EEXP: tyop_2Enum_2Enum > tyop_2Enum_2Enum > tyop_2Enum_2Enum ).
thf(c_2Ebit_2ELOG2,type,
c_2Ebit_2ELOG2: tyop_2Enum_2Enum > tyop_2Enum_2Enum ).
thf(c_2Earithmetic_2EMIN,type,
c_2Earithmetic_2EMIN: tyop_2Enum_2Enum > tyop_2Enum_2Enum > tyop_2Enum_2Enum ).
thf(c_2Earithmetic_2ENUMERAL,type,
c_2Earithmetic_2ENUMERAL: tyop_2Enum_2Enum > tyop_2Enum_2Enum ).
thf(c_2Earithmetic_2EZERO,type,
c_2Earithmetic_2EZERO: tyop_2Enum_2Enum ).
thf(c_2Ebool_2E_5C_2F,type,
c_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(c_2Ealignment_2Ealign,type,
c_2Ealignment_2Ealign:
!>[A_27a: $tType] : ( tyop_2Enum_2Enum > ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > ( tyop_2Efcp_2Ecart @ $o @ A_27a ) ) ).
thf(c_2Ealignment_2Ealigned,type,
c_2Ealignment_2Ealigned:
!>[A_27a: $tType] : ( tyop_2Enum_2Enum > ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > $o ) ).
thf(c_2Ewords_2Ebit__count__upto,type,
c_2Ewords_2Ebit__count__upto:
!>[A_27a: $tType] : ( tyop_2Enum_2Enum > ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > tyop_2Enum_2Enum ) ).
thf(c_2Ealignment_2Ebyte__align,type,
c_2Ealignment_2Ebyte__align:
!>[A_27a: $tType] : ( ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > ( tyop_2Efcp_2Ecart @ $o @ A_27a ) ) ).
thf(c_2Ealignment_2Ebyte__aligned,type,
c_2Ealignment_2Ebyte__aligned:
!>[A_27a: $tType] : ( ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > $o ) ).
thf(c_2Efcp_2Edimindex,type,
c_2Efcp_2Edimindex:
!>[A_27a: $tType] : ( ( tyop_2Ebool_2Eitself @ A_27a ) > tyop_2Enum_2Enum ) ).
thf(c_2Ewords_2En2w,type,
c_2Ewords_2En2w:
!>[A_27a: $tType] : ( tyop_2Enum_2Enum > ( tyop_2Efcp_2Ecart @ $o @ A_27a ) ) ).
thf(c_2Ebool_2Ethe__value,type,
c_2Ebool_2Ethe__value:
!>[A_27a: $tType] : ( tyop_2Ebool_2Eitself @ A_27a ) ).
thf(c_2Ewords_2Ew2n,type,
c_2Ewords_2Ew2n:
!>[A_27a: $tType] : ( ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > tyop_2Enum_2Enum ) ).
thf(c_2Ewords_2Eword__2comp,type,
c_2Ewords_2Eword__2comp:
!>[A_27a: $tType] : ( ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > ( tyop_2Efcp_2Ecart @ $o @ A_27a ) ) ).
thf(c_2Ewords_2Eword__T,type,
c_2Ewords_2Eword__T:
!>[A_27a: $tType] : ( tyop_2Efcp_2Ecart @ $o @ A_27a ) ).
thf(c_2Ewords_2Eword__add,type,
c_2Ewords_2Eword__add:
!>[A_27a: $tType] : ( ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > ( tyop_2Efcp_2Ecart @ $o @ A_27a ) ) ).
thf(c_2Ewords_2Eword__and,type,
c_2Ewords_2Eword__and:
!>[A_27a: $tType] : ( ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > ( tyop_2Efcp_2Ecart @ $o @ A_27a ) ) ).
thf(c_2Ewords_2Eword__extract,type,
c_2Ewords_2Eword__extract:
!>[A_27a: $tType,A_27b: $tType] : ( tyop_2Enum_2Enum > tyop_2Enum_2Enum > ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > ( tyop_2Efcp_2Ecart @ $o @ A_27b ) ) ).
thf(c_2Ewords_2Eword__lsb,type,
c_2Ewords_2Eword__lsb:
!>[A_27a: $tType] : ( ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > $o ) ).
thf(c_2Ewords_2Eword__lsl,type,
c_2Ewords_2Eword__lsl:
!>[A_27a: $tType] : ( ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > tyop_2Enum_2Enum > ( tyop_2Efcp_2Ecart @ $o @ A_27a ) ) ).
thf(c_2Ewords_2Eword__lsr,type,
c_2Ewords_2Eword__lsr:
!>[A_27a: $tType] : ( ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > tyop_2Enum_2Enum > ( tyop_2Efcp_2Ecart @ $o @ A_27a ) ) ).
thf(c_2Ewords_2Eword__mul,type,
c_2Ewords_2Eword__mul:
!>[A_27a: $tType] : ( ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > ( tyop_2Efcp_2Ecart @ $o @ A_27a ) ) ).
thf(c_2Ewords_2Eword__slice,type,
c_2Ewords_2Eword__slice:
!>[A_27a: $tType] : ( tyop_2Enum_2Enum > tyop_2Enum_2Enum > ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > ( tyop_2Efcp_2Ecart @ $o @ A_27a ) ) ).
thf(c_2Ewords_2Eword__sub,type,
c_2Ewords_2Eword__sub:
!>[A_27a: $tType] : ( ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > ( tyop_2Efcp_2Ecart @ $o @ A_27a ) > ( tyop_2Efcp_2Ecart @ $o @ A_27a ) ) ).
thf(c_2Ebool_2E_7E,type,
c_2Ebool_2E_7E: $o > $o ).
thf(logicdef_2E_2F_5C,axiom,
! [V0: $o,V1: $o] :
( ( c_2Ebool_2E_2F_5C @ V0 @ V1 )
<=> ( V0
& V1 ) ) ).
thf(logicdef_2E_5C_2F,axiom,
! [V0: $o,V1: $o] :
( ( c_2Ebool_2E_5C_2F @ V0 @ V1 )
<=> ( V0
| V1 ) ) ).
thf(logicdef_2E_7E,axiom,
! [V0: $o] :
( ( c_2Ebool_2E_7E @ V0 )
<=> ( (~) @ V0 ) ) ).
thf(logicdef_2E_3D_3D_3E,axiom,
! [V0: $o,V1: $o] :
( ( c_2Emin_2E_3D_3D_3E @ V0 @ V1 )
<=> ( V0
=> V1 ) ) ).
thf(logicdef_2E_3D,axiom,
! [A_27a: $tType,V0: A_27a,V1: A_27a] :
( ( c_2Emin_2E_3D @ A_27a @ V0 @ V1 )
<=> ( V0 = V1 ) ) ).
thf(quantdef_2E_21,axiom,
! [A_27a: $tType,V0f: A_27a > $o] :
( ( c_2Ebool_2E_21 @ A_27a @ V0f )
<=> ! [V1x: A_27a] : ( V0f @ V1x ) ) ).
thf(quantdef_2E_3F,axiom,
! [A_27a: $tType,V0f: A_27a > $o] :
( ( c_2Ebool_2E_3F @ A_27a @ V0f )
<=> ? [V1x: A_27a] : ( V0f @ V1x ) ) ).
thf(thm_2Ealignment_2Ealign__def,axiom,
! [A_27a: $tType,V0p: tyop_2Enum_2Enum,V1w: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( c_2Ealignment_2Ealign @ A_27a @ V0p @ V1w )
= ( c_2Ewords_2Eword__slice @ A_27a @ ( c_2Earithmetic_2E_2D @ ( c_2Efcp_2Edimindex @ A_27a @ ( c_2Ebool_2Ethe__value @ A_27a ) ) @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ V0p @ V1w ) ) ).
thf(thm_2Ealignment_2Ealigned__def,axiom,
! [A_27a: $tType,V0p: tyop_2Enum_2Enum,V1w: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( c_2Ealignment_2Ealigned @ A_27a @ V0p @ V1w )
<=> ( ( c_2Ealignment_2Ealign @ A_27a @ V0p @ V1w )
= V1w ) ) ).
thf(thm_2Ealignment_2Ebyte__align__def,axiom,
! [A_27a: $tType,V0w: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( c_2Ealignment_2Ebyte__align @ A_27a @ V0w )
= ( c_2Ealignment_2Ealign @ A_27a @ ( c_2Ebit_2ELOG2 @ ( c_2Earithmetic_2EDIV @ ( c_2Efcp_2Edimindex @ A_27a @ ( c_2Ebool_2Ethe__value @ A_27a ) ) @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) ) @ V0w ) ) ).
thf(thm_2Ealignment_2Ebyte__aligned__def,axiom,
! [A_27a: $tType,V0w: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( c_2Ealignment_2Ebyte__aligned @ A_27a @ V0w )
= ( c_2Ealignment_2Ealigned @ A_27a @ ( c_2Ebit_2ELOG2 @ ( c_2Earithmetic_2EDIV @ ( c_2Efcp_2Edimindex @ A_27a @ ( c_2Ebool_2Ethe__value @ A_27a ) ) @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) ) @ V0w ) ) ).
thf(thm_2Ealignment_2Ealign__0,axiom,
! [A_27a: $tType,V0w: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( c_2Ealignment_2Ealign @ A_27a @ c_2Enum_2E0 @ V0w )
= V0w ) ).
thf(thm_2Ealignment_2Ealign__align,axiom,
! [A_27a: $tType,V0p: tyop_2Enum_2Enum,V1w: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( c_2Ealignment_2Ealign @ A_27a @ V0p @ ( c_2Ealignment_2Ealign @ A_27a @ V0p @ V1w ) )
= ( c_2Ealignment_2Ealign @ A_27a @ V0p @ V1w ) ) ).
thf(thm_2Ealignment_2Ealigned__align,axiom,
! [A_27a: $tType,V0p: tyop_2Enum_2Enum,V1w: tyop_2Efcp_2Ecart @ $o @ A_27a] : ( c_2Ealignment_2Ealigned @ A_27a @ V0p @ ( c_2Ealignment_2Ealign @ A_27a @ V0p @ V1w ) ) ).
thf(thm_2Ealignment_2Ealign__aligned,axiom,
! [A_27a: $tType,V0p: tyop_2Enum_2Enum,V1w: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( c_2Ealignment_2Ealigned @ A_27a @ V0p @ V1w )
=> ( ( c_2Ealignment_2Ealign @ A_27a @ V0p @ V1w )
= V1w ) ) ).
thf(thm_2Ealignment_2Ealign__bitwise__and,axiom,
! [A_27a: $tType,V0p: tyop_2Enum_2Enum,V1w: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( c_2Ealignment_2Ealign @ A_27a @ V0p @ V1w )
= ( c_2Ewords_2Eword__and @ A_27a @ V1w @ ( c_2Ewords_2Eword__lsl @ A_27a @ ( c_2Ewords_2Eword__T @ A_27a ) @ V0p ) ) ) ).
thf(thm_2Ealignment_2Ealign__shift,axiom,
! [A_27a: $tType,V0p: tyop_2Enum_2Enum,V1w: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( c_2Ealignment_2Ealign @ A_27a @ V0p @ V1w )
= ( c_2Ewords_2Eword__lsl @ A_27a @ ( c_2Ewords_2Eword__lsr @ A_27a @ V1w @ V0p ) @ V0p ) ) ).
thf(thm_2Ealignment_2Ealign__w2n,axiom,
! [A_27a: $tType,V0p: tyop_2Enum_2Enum,V1w: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( c_2Ealignment_2Ealign @ A_27a @ V0p @ V1w )
= ( c_2Ewords_2En2w @ A_27a @ ( c_2Earithmetic_2E_2A @ ( c_2Earithmetic_2EDIV @ ( c_2Ewords_2Ew2n @ A_27a @ V1w ) @ ( c_2Earithmetic_2EEXP @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ V0p ) ) @ ( c_2Earithmetic_2EEXP @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ V0p ) ) ) ) ).
thf(thm_2Ealignment_2Ealign__sub,axiom,
! [A_27a: $tType,V0p: tyop_2Enum_2Enum,V1w: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( c_2Ealignment_2Ealign @ A_27a @ V0p @ V1w )
= ( c_2Ebool_2ECOND @ ( tyop_2Efcp_2Ecart @ $o @ A_27a ) @ ( c_2Emin_2E_3D @ tyop_2Enum_2Enum @ V0p @ c_2Enum_2E0 ) @ V1w @ ( c_2Ewords_2Eword__sub @ A_27a @ V1w @ ( c_2Ewords_2Eword__extract @ A_27a @ A_27a @ ( c_2Earithmetic_2E_2D @ V0p @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ c_2Enum_2E0 @ V1w ) ) ) ) ).
thf(thm_2Ealignment_2Ealigned__extract,axiom,
! [A_27a: $tType,V0p: tyop_2Enum_2Enum,V1w: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( c_2Ealignment_2Ealigned @ A_27a @ V0p @ V1w )
<=> ( ( V0p = c_2Enum_2E0 )
| ( ( c_2Ewords_2Eword__extract @ A_27a @ A_27a @ ( c_2Earithmetic_2E_2D @ V0p @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ c_2Enum_2E0 @ V1w )
= ( c_2Ewords_2En2w @ A_27a @ c_2Enum_2E0 ) ) ) ) ).
thf(thm_2Ealignment_2Ealigned__0,axiom,
! [A_27a: $tType,A_27b: $tType] :
( ! [V0p: tyop_2Enum_2Enum] : ( c_2Ealignment_2Ealigned @ A_27a @ V0p @ ( c_2Ewords_2En2w @ A_27a @ c_2Enum_2E0 ) )
& ! [V1w: tyop_2Efcp_2Ecart @ $o @ A_27b] : ( c_2Ealignment_2Ealigned @ A_27b @ c_2Enum_2E0 @ V1w ) ) ).
thf(thm_2Ealignment_2Ealigned__1__lsb,axiom,
! [A_27a: $tType,V0w: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( c_2Ealignment_2Ealigned @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) @ V0w )
<=> ( (~) @ ( c_2Ewords_2Eword__lsb @ A_27a @ V0w ) ) ) ).
thf(thm_2Ealignment_2Ealigned__ge__dim,axiom,
! [A_27a: $tType,V0p: tyop_2Enum_2Enum,V1w: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( c_2Earithmetic_2E_3C_3D @ ( c_2Efcp_2Edimindex @ A_27a @ ( c_2Ebool_2Ethe__value @ A_27a ) ) @ V0p )
=> ( ( c_2Ealignment_2Ealigned @ A_27a @ V0p @ V1w )
<=> ( V1w
= ( c_2Ewords_2En2w @ A_27a @ c_2Enum_2E0 ) ) ) ) ).
thf(thm_2Ealignment_2Ealigned__bitwise__and,axiom,
! [A_27a: $tType,V0p: tyop_2Enum_2Enum,V1w: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( c_2Ealignment_2Ealigned @ A_27a @ V0p @ V1w )
<=> ( ( c_2Ewords_2Eword__and @ A_27a @ V1w @ ( c_2Ewords_2En2w @ A_27a @ ( c_2Earithmetic_2E_2D @ ( c_2Earithmetic_2EEXP @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ V0p ) @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) )
= ( c_2Ewords_2En2w @ A_27a @ c_2Enum_2E0 ) ) ) ).
thf(thm_2Ealignment_2Ealigned__bit__count__upto,axiom,
! [A_27a: $tType,V0p: tyop_2Enum_2Enum,V1w: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( c_2Ealignment_2Ealigned @ A_27a @ V0p @ V1w )
<=> ( ( c_2Ewords_2Ebit__count__upto @ A_27a @ ( c_2Earithmetic_2EMIN @ ( c_2Efcp_2Edimindex @ A_27a @ ( c_2Ebool_2Ethe__value @ A_27a ) ) @ V0p ) @ V1w )
= c_2Enum_2E0 ) ) ).
thf(thm_2Ealignment_2Ealigned__add__sub,axiom,
! [A_27a: $tType,V0p: tyop_2Enum_2Enum,V1a: tyop_2Efcp_2Ecart @ $o @ A_27a,V2b: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( c_2Ealignment_2Ealigned @ A_27a @ V0p @ V2b )
=> ( ( ( c_2Ealignment_2Ealigned @ A_27a @ V0p @ ( c_2Ewords_2Eword__add @ A_27a @ V1a @ V2b ) )
= ( c_2Ealignment_2Ealigned @ A_27a @ V0p @ V1a ) )
& ( ( c_2Ealignment_2Ealigned @ A_27a @ V0p @ ( c_2Ewords_2Eword__sub @ A_27a @ V1a @ V2b ) )
= ( c_2Ealignment_2Ealigned @ A_27a @ V0p @ V1a ) ) ) ) ).
thf(thm_2Ealignment_2Ealigned__add__sub__cor,axiom,
! [A_27a: $tType,V0p: tyop_2Enum_2Enum,V1a: tyop_2Efcp_2Ecart @ $o @ A_27a,V2b: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( ( c_2Ealignment_2Ealigned @ A_27a @ V0p @ V1a )
& ( c_2Ealignment_2Ealigned @ A_27a @ V0p @ V2b ) )
=> ( ( c_2Ealignment_2Ealigned @ A_27a @ V0p @ ( c_2Ewords_2Eword__add @ A_27a @ V1a @ V2b ) )
& ( c_2Ealignment_2Ealigned @ A_27a @ V0p @ ( c_2Ewords_2Eword__sub @ A_27a @ V1a @ V2b ) ) ) ) ).
thf(thm_2Ealignment_2Ealigned__mul__shift__1,axiom,
! [A_27a: $tType,V0p: tyop_2Enum_2Enum,V1w: tyop_2Efcp_2Ecart @ $o @ A_27a] : ( c_2Ealignment_2Ealigned @ A_27a @ V0p @ ( c_2Ewords_2Eword__mul @ A_27a @ ( c_2Ewords_2Eword__lsl @ A_27a @ ( c_2Ewords_2En2w @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ V0p ) @ V1w ) ) ).
thf(thm_2Ealignment_2Ealigned__add__sub__prod,axiom,
! [A_27a: $tType,V0p: tyop_2Enum_2Enum,V1w: tyop_2Efcp_2Ecart @ $o @ A_27a,V2x: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( ( c_2Ealignment_2Ealigned @ A_27a @ V0p @ ( c_2Ewords_2Eword__add @ A_27a @ V1w @ ( c_2Ewords_2Eword__mul @ A_27a @ ( c_2Ewords_2Eword__lsl @ A_27a @ ( c_2Ewords_2En2w @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ V0p ) @ V2x ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a @ V0p @ V1w ) )
& ( ( c_2Ealignment_2Ealigned @ A_27a @ V0p @ ( c_2Ewords_2Eword__sub @ A_27a @ V1w @ ( c_2Ewords_2Eword__mul @ A_27a @ ( c_2Ewords_2Eword__lsl @ A_27a @ ( c_2Ewords_2En2w @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ V0p ) @ V2x ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a @ V0p @ V1w ) ) ) ).
thf(thm_2Ealignment_2Ealigned__imp,axiom,
! [A_27a: $tType,V0p: tyop_2Enum_2Enum,V1q: tyop_2Enum_2Enum,V2w: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( ( c_2Eprim__rec_2E_3C @ V0p @ V1q )
& ( c_2Ealignment_2Ealigned @ A_27a @ V1q @ V2w ) )
=> ( c_2Ealignment_2Ealigned @ A_27a @ V0p @ V2w ) ) ).
thf(thm_2Ealignment_2Ealign__add__aligned,axiom,
! [A_27a: $tType,V0p: tyop_2Enum_2Enum,V1a: tyop_2Efcp_2Ecart @ $o @ A_27a,V2b: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( ( c_2Ealignment_2Ealigned @ A_27a @ V0p @ V1a )
& ( c_2Eprim__rec_2E_3C @ ( c_2Ewords_2Ew2n @ A_27a @ V2b ) @ ( c_2Earithmetic_2EEXP @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ V0p ) ) )
=> ( ( c_2Ealignment_2Ealign @ A_27a @ V0p @ ( c_2Ewords_2Eword__add @ A_27a @ V1a @ V2b ) )
= V1a ) ) ).
thf(thm_2Ealignment_2Ealigned__add__sub__123,axiom,
! [A_27a: $tType] :
( ! [V0w: tyop_2Efcp_2Ecart @ $o @ A_27a,V1x: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( ( c_2Ealignment_2Ealigned @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__add @ A_27a @ V0w @ ( c_2Ewords_2Eword__mul @ A_27a @ ( c_2Ewords_2En2w @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) @ V1x ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) @ V0w ) )
& ( ( c_2Ealignment_2Ealigned @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__sub @ A_27a @ V0w @ ( c_2Ewords_2Eword__mul @ A_27a @ ( c_2Ewords_2En2w @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) @ V1x ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) @ V0w ) ) )
& ! [V2x: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( c_2Ealignment_2Ealigned @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__mul @ A_27a @ ( c_2Ewords_2En2w @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) @ V2x ) )
& ( c_2Ealignment_2Ealigned @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__mul @ A_27a @ ( c_2Ewords_2Eword__2comp @ A_27a @ ( c_2Ewords_2En2w @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) ) @ V2x ) ) )
& ! [V3w: tyop_2Efcp_2Ecart @ $o @ A_27a,V4x: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( ( c_2Ealignment_2Ealigned @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__add @ A_27a @ V3w @ ( c_2Ewords_2Eword__mul @ A_27a @ ( c_2Ewords_2En2w @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) @ V4x ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ V3w ) )
& ( ( c_2Ealignment_2Ealigned @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__sub @ A_27a @ V3w @ ( c_2Ewords_2Eword__mul @ A_27a @ ( c_2Ewords_2En2w @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) @ V4x ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ V3w ) ) )
& ! [V5x: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( c_2Ealignment_2Ealigned @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__mul @ A_27a @ ( c_2Ewords_2En2w @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) @ V5x ) )
& ( c_2Ealignment_2Ealigned @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__mul @ A_27a @ ( c_2Ewords_2Eword__2comp @ A_27a @ ( c_2Ewords_2En2w @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) @ V5x ) ) )
& ! [V6w: tyop_2Efcp_2Ecart @ $o @ A_27a,V7x: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( ( c_2Ealignment_2Ealigned @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__add @ A_27a @ V6w @ ( c_2Ewords_2Eword__mul @ A_27a @ ( c_2Ewords_2En2w @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) @ V7x ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ V6w ) )
& ( ( c_2Ealignment_2Ealigned @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__sub @ A_27a @ V6w @ ( c_2Ewords_2Eword__mul @ A_27a @ ( c_2Ewords_2En2w @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) @ V7x ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ V6w ) ) )
& ! [V8x: tyop_2Efcp_2Ecart @ $o @ A_27a] :
( ( c_2Ealignment_2Ealigned @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__mul @ A_27a @ ( c_2Ewords_2En2w @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) @ V8x ) )
& ( c_2Ealignment_2Ealigned @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__mul @ A_27a @ ( c_2Ewords_2Eword__2comp @ A_27a @ ( c_2Ewords_2En2w @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) ) @ V8x ) ) ) ) ).
thf(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: tyop_2Enum_2Enum] : ( c_2Ealignment_2Ealigned @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2En2w @ A_27a @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ V0x ) ) ) ) ) )
& ! [V1x: tyop_2Enum_2Enum] : ( c_2Ealignment_2Ealigned @ A_27b @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2En2w @ A_27b @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ V1x ) ) ) ) )
& ! [V2x: tyop_2Enum_2Enum] : ( c_2Ealignment_2Ealigned @ A_27c @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2En2w @ A_27c @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ V2x ) ) ) )
& ! [V3x: tyop_2Enum_2Enum] : ( c_2Ealignment_2Ealigned @ A_27d @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__2comp @ A_27d @ ( c_2Ewords_2En2w @ A_27d @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ V3x ) ) ) ) ) ) )
& ! [V4x: tyop_2Enum_2Enum] : ( c_2Ealignment_2Ealigned @ A_27e @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__2comp @ A_27e @ ( c_2Ewords_2En2w @ A_27e @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ V4x ) ) ) ) ) )
& ! [V5x: tyop_2Enum_2Enum] : ( c_2Ealignment_2Ealigned @ A_27f @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__2comp @ A_27f @ ( c_2Ewords_2En2w @ A_27f @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ V5x ) ) ) ) )
& ! [V6x: A_27g,V7y: tyop_2Efcp_2Ecart @ $o @ A_27h,V8f: A_27g > tyop_2Enum_2Enum] :
( ( c_2Ealignment_2Ealigned @ A_27h @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__add @ A_27h @ V7y @ ( c_2Ewords_2En2w @ A_27h @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( V8f @ V6x ) ) ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27h @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__add @ A_27h @ V7y @ ( c_2Ewords_2En2w @ A_27h @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
& ! [V9x: tyop_2Enum_2Enum,V10y: tyop_2Efcp_2Ecart @ $o @ A_27i,V11f: A_27j] :
( ( c_2Ealignment_2Ealigned @ A_27i @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__add @ A_27i @ V10y @ ( c_2Ewords_2En2w @ A_27i @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT2 @ V9x ) ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27i @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__add @ A_27i @ V10y @ ( c_2Ewords_2En2w @ A_27i @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) ) )
& ! [V12x: tyop_2Enum_2Enum,V13y: tyop_2Efcp_2Ecart @ $o @ A_27k,V14f: A_27l] :
( ( c_2Ealignment_2Ealigned @ A_27k @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__add @ A_27k @ V13y @ ( c_2Ewords_2En2w @ A_27k @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ V12x ) ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27k @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__add @ A_27k @ V13y @ ( c_2Ewords_2En2w @ A_27k @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) )
& ! [V15x: tyop_2Enum_2Enum,V16y: tyop_2Efcp_2Ecart @ $o @ A_27m,V17f: A_27n] :
( ( c_2Ealignment_2Ealigned @ A_27m @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__add @ A_27m @ V16y @ ( c_2Ewords_2En2w @ A_27m @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ V15x ) ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27m @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__add @ A_27m @ V16y @ ( c_2Ewords_2En2w @ A_27m @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) ) ) ) )
& ! [V18x: tyop_2Enum_2Enum,V19y: tyop_2Efcp_2Ecart @ $o @ A_27o,V20f: A_27p] :
( ( c_2Ealignment_2Ealigned @ A_27o @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__add @ A_27o @ V19y @ ( c_2Ewords_2En2w @ A_27o @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ V18x ) ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27o @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ V19y ) )
& ! [V21x: tyop_2Enum_2Enum,V22y: tyop_2Efcp_2Ecart @ $o @ A_27q,V23f: A_27r] :
( ( c_2Ealignment_2Ealigned @ A_27q @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__add @ A_27q @ V22y @ ( c_2Ewords_2En2w @ A_27q @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT2 @ V21x ) ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27q @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__add @ A_27q @ V22y @ ( c_2Ewords_2En2w @ A_27q @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) ) )
& ! [V24x: tyop_2Enum_2Enum,V25y: tyop_2Efcp_2Ecart @ $o @ A_27s,V26f: A_27t] :
( ( c_2Ealignment_2Ealigned @ A_27s @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__add @ A_27s @ V25y @ ( c_2Ewords_2En2w @ A_27s @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ V24x ) ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27s @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__add @ A_27s @ V25y @ ( c_2Ewords_2En2w @ A_27s @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) ) ) )
& ! [V27x: tyop_2Enum_2Enum,V28y: tyop_2Efcp_2Ecart @ $o @ A_27u,V29f: A_27v] :
( ( c_2Ealignment_2Ealigned @ A_27u @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__add @ A_27u @ V28y @ ( c_2Ewords_2En2w @ A_27u @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ V27x ) ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27u @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__add @ A_27u @ V28y @ ( c_2Ewords_2En2w @ A_27u @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) ) ) ) )
& ! [V30x: A_27w,V31y: tyop_2Efcp_2Ecart @ $o @ A_27x,V32f: A_27w > tyop_2Enum_2Enum] :
( ( c_2Ealignment_2Ealigned @ A_27x @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__sub @ A_27x @ V31y @ ( c_2Ewords_2En2w @ A_27x @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( V32f @ V30x ) ) ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27x @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__sub @ A_27x @ V31y @ ( c_2Ewords_2En2w @ A_27x @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
& ! [V33x: tyop_2Enum_2Enum,V34y: tyop_2Efcp_2Ecart @ $o @ A_27y,V35f: A_27z] :
( ( c_2Ealignment_2Ealigned @ A_27y @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__sub @ A_27y @ V34y @ ( c_2Ewords_2En2w @ A_27y @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT2 @ V33x ) ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27y @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__sub @ A_27y @ V34y @ ( c_2Ewords_2En2w @ A_27y @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) ) )
& ! [V36x: tyop_2Enum_2Enum,V37y: tyop_2Efcp_2Ecart @ $o @ A_27a0,V38f: A_27a1] :
( ( c_2Ealignment_2Ealigned @ A_27a0 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__sub @ A_27a0 @ V37y @ ( c_2Ewords_2En2w @ A_27a0 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ V36x ) ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a0 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__sub @ A_27a0 @ V37y @ ( c_2Ewords_2En2w @ A_27a0 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) )
& ! [V39x: tyop_2Enum_2Enum,V40y: tyop_2Efcp_2Ecart @ $o @ A_27a2,V41f: A_27a3] :
( ( c_2Ealignment_2Ealigned @ A_27a2 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__sub @ A_27a2 @ V40y @ ( c_2Ewords_2En2w @ A_27a2 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ V39x ) ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a2 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__sub @ A_27a2 @ V40y @ ( c_2Ewords_2En2w @ A_27a2 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) ) ) ) )
& ! [V42x: tyop_2Enum_2Enum,V43y: tyop_2Efcp_2Ecart @ $o @ A_27a4,V44f: A_27a5] :
( ( c_2Ealignment_2Ealigned @ A_27a4 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__sub @ A_27a4 @ V43y @ ( c_2Ewords_2En2w @ A_27a4 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ V42x ) ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a4 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ V43y ) )
& ! [V45x: tyop_2Enum_2Enum,V46y: tyop_2Efcp_2Ecart @ $o @ A_27a6,V47f: A_27a7] :
( ( c_2Ealignment_2Ealigned @ A_27a6 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__sub @ A_27a6 @ V46y @ ( c_2Ewords_2En2w @ A_27a6 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT2 @ V45x ) ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a6 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__sub @ A_27a6 @ V46y @ ( c_2Ewords_2En2w @ A_27a6 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) ) )
& ! [V48x: tyop_2Enum_2Enum,V49y: tyop_2Efcp_2Ecart @ $o @ A_27a8,V50f: A_27a9] :
( ( c_2Ealignment_2Ealigned @ A_27a8 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__sub @ A_27a8 @ V49y @ ( c_2Ewords_2En2w @ A_27a8 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ V48x ) ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a8 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__sub @ A_27a8 @ V49y @ ( c_2Ewords_2En2w @ A_27a8 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) ) ) )
& ! [V51x: tyop_2Enum_2Enum,V52y: tyop_2Efcp_2Ecart @ $o @ A_27a10,V53f: A_27a11] :
( ( c_2Ealignment_2Ealigned @ A_27a10 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__sub @ A_27a10 @ V52y @ ( c_2Ewords_2En2w @ A_27a10 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ V51x ) ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a10 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) @ ( c_2Ewords_2Eword__sub @ A_27a10 @ V52y @ ( c_2Ewords_2En2w @ A_27a10 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) ) ) ) )
& ! [V54x: A_27a12,V55y: tyop_2Efcp_2Ecart @ $o @ A_27a13,V56f: A_27a12 > tyop_2Enum_2Enum] :
( ( c_2Ealignment_2Ealigned @ A_27a13 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__add @ A_27a13 @ V55y @ ( c_2Ewords_2En2w @ A_27a13 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( V56f @ V54x ) ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a13 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__add @ A_27a13 @ V55y @ ( c_2Ewords_2En2w @ A_27a13 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) ) )
& ! [V57x: tyop_2Enum_2Enum,V58y: tyop_2Efcp_2Ecart @ $o @ A_27a14] :
( ( c_2Ealignment_2Ealigned @ A_27a14 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__add @ A_27a14 @ V58y @ ( c_2Ewords_2En2w @ A_27a14 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT2 @ V57x ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a14 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__add @ A_27a14 @ V58y @ ( c_2Ewords_2En2w @ A_27a14 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) )
& ! [V59x: tyop_2Enum_2Enum,V60y: tyop_2Efcp_2Ecart @ $o @ A_27a15] :
( ( c_2Ealignment_2Ealigned @ A_27a15 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__add @ A_27a15 @ V60y @ ( c_2Ewords_2En2w @ A_27a15 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ V59x ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a15 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ V60y ) )
& ! [V61x: tyop_2Enum_2Enum,V62y: tyop_2Efcp_2Ecart @ $o @ A_27a16] :
( ( c_2Ealignment_2Ealigned @ A_27a16 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__add @ A_27a16 @ V62y @ ( c_2Ewords_2En2w @ A_27a16 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ V61x ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a16 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__add @ A_27a16 @ V62y @ ( c_2Ewords_2En2w @ A_27a16 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) ) ) )
& ! [V63x: A_27a17,V64y: tyop_2Efcp_2Ecart @ $o @ A_27a18,V65f: A_27a17 > tyop_2Enum_2Enum] :
( ( c_2Ealignment_2Ealigned @ A_27a18 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__sub @ A_27a18 @ V64y @ ( c_2Ewords_2En2w @ A_27a18 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ ( V65f @ V63x ) ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a18 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__sub @ A_27a18 @ V64y @ ( c_2Ewords_2En2w @ A_27a18 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) ) )
& ! [V66x: tyop_2Enum_2Enum,V67y: tyop_2Efcp_2Ecart @ $o @ A_27a19] :
( ( c_2Ealignment_2Ealigned @ A_27a19 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__sub @ A_27a19 @ V67y @ ( c_2Ewords_2En2w @ A_27a19 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( c_2Earithmetic_2EBIT2 @ V66x ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a19 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__sub @ A_27a19 @ V67y @ ( c_2Ewords_2En2w @ A_27a19 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) )
& ! [V68x: tyop_2Enum_2Enum,V69y: tyop_2Efcp_2Ecart @ $o @ A_27a20] :
( ( c_2Ealignment_2Ealigned @ A_27a20 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__sub @ A_27a20 @ V69y @ ( c_2Ewords_2En2w @ A_27a20 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT1 @ V68x ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a20 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ V69y ) )
& ! [V70x: tyop_2Enum_2Enum,V71y: tyop_2Efcp_2Ecart @ $o @ A_27a21] :
( ( c_2Ealignment_2Ealigned @ A_27a21 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__sub @ A_27a21 @ V71y @ ( c_2Ewords_2En2w @ A_27a21 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ ( c_2Earithmetic_2EBIT2 @ V70x ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a21 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__sub @ A_27a21 @ V71y @ ( c_2Ewords_2En2w @ A_27a21 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ c_2Earithmetic_2EZERO ) ) ) ) ) )
& ! [V72x: A_27a22,V73y: tyop_2Efcp_2Ecart @ $o @ A_27a23,V74f: A_27a22 > tyop_2Enum_2Enum] :
( ( c_2Ealignment_2Ealigned @ A_27a23 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__add @ A_27a23 @ V73y @ ( c_2Ewords_2En2w @ A_27a23 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( V74f @ V72x ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a23 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__add @ A_27a23 @ V73y @ ( c_2Ewords_2En2w @ A_27a23 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) )
& ! [V75x: A_27a24,V76y: tyop_2Efcp_2Ecart @ $o @ A_27a25,V77f: A_27a24 > tyop_2Enum_2Enum] :
( ( c_2Ealignment_2Ealigned @ A_27a25 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__sub @ A_27a25 @ V76y @ ( c_2Ewords_2En2w @ A_27a25 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ ( V77f @ V75x ) ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a25 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__sub @ A_27a25 @ V76y @ ( c_2Ewords_2En2w @ A_27a25 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) ) ) ) )
& ! [V78x: tyop_2Enum_2Enum,V79y: tyop_2Efcp_2Ecart @ $o @ A_27a26] :
( ( c_2Ealignment_2Ealigned @ A_27a26 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__add @ A_27a26 @ V79y @ ( c_2Ewords_2En2w @ A_27a26 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ V78x ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a26 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) @ V79y ) )
& ! [V80x: tyop_2Enum_2Enum,V81y: tyop_2Efcp_2Ecart @ $o @ A_27a27] :
( ( c_2Ealignment_2Ealigned @ A_27a27 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) @ ( c_2Ewords_2Eword__sub @ A_27a27 @ V81y @ ( c_2Ewords_2En2w @ A_27a27 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT2 @ V80x ) ) ) ) )
= ( c_2Ealignment_2Ealigned @ A_27a27 @ ( c_2Earithmetic_2ENUMERAL @ ( c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO ) ) @ V81y ) ) ) ).
%------------------------------------------------------------------------------