%------------------------------------------------------------------------------
% File     : ITP133_5 : TPTP v8.2.0. 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    : HolSmt_2.ax [Gau20]
%          : HL4133_5.ax [TPAP]

% Status   : Satisfiable
% Syntax   : Number of formulae    :  379 (  60 unt;  13 typ;   0 def)
%            Number of atoms       : 9684 ( 216 equ)
%            Maximal formula atoms :    9 (  25 avg)
%            Number of connectives :  778 ( 195   ~; 113   |;  31   &)
%                                         ( 261 <=>; 178  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of FOOLs       : 8735 (8735 fml;   0 var)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :   14 (   9   >;   5   *;   0   +;   0  <<)
%            Number of predicates  :   84 (  81 usr;  40 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   1 con; 0-4 aty)
%            Number of variables   : 1086 (1086   !;   0   ?;1086   :)
% SPC      : TF0_SAT_EQU_NAR

% Comments :
% Bugfixes : v7.5.0 - Fixes to the axioms.
%------------------------------------------------------------------------------
tff(tp_c_2EHolSmt_2Earray__ext,type,
    c_2EHolSmt_2Earray__ext: ( del * del ) > $i ).

tff(mem_c_2EHolSmt_2Earray__ext,axiom,
    ! [A_27a: del,A_27b: del] : mem(c_2EHolSmt_2Earray__ext(A_27a,A_27b),arr(arr(A_27a,A_27b),arr(arr(A_27a,A_27b),A_27a))) ).

tff(tp_c_2EHolSmt_2Exor,type,
    c_2EHolSmt_2Exor: $i ).

tff(mem_c_2EHolSmt_2Exor,axiom,
    mem(c_2EHolSmt_2Exor,arr(bool,arr(bool,bool))) ).

tff(stp_fo_c_2EHolSmt_2Exor,type,
    fo__c_2EHolSmt_2Exor: ( tp__o * tp__o ) > tp__o ).

tff(stp_eq_fo_c_2EHolSmt_2Exor,axiom,
    ! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2EHolSmt_2Exor(X0,X1)) = ap(ap(c_2EHolSmt_2Exor,inj__o(X0)),inj__o(X1)) ) ).

tff(ax_thm_2EHolSmt_2Exor__def,axiom,
    ! [V0x: tp__o,V1y: tp__o] :
      ( p(ap(ap(c_2EHolSmt_2Exor,inj__o(V0x)),inj__o(V1y)))
    <=> ~ ( p(inj__o(V0x))
        <=> p(inj__o(V1y)) ) ) ).

tff(lamtp_f3061,type,
    f3061: ( del * del * $i * $i ) > $i ).

tff(lameq_f3061,axiom,
    ! [A_27b: del,A_27a: del,V1B: $i] :
      ( mem(V1B,arr(A_27a,A_27b))
     => ! [V0A: $i] :
          ( mem(V0A,arr(A_27a,A_27b))
         => ! [V2i: $i] : ( ap(f3061(A_27b,A_27a,V1B,V0A),V2i) = ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D(A_27b),ap(V0A,V2i)),ap(V1B,V2i))) ) ) ) ).

tff(ax_thm_2EHolSmt_2Earray__ext__def,axiom,
    ! [A_27a: del,A_27b: del,V0A: $i] :
      ( mem(V0A,arr(A_27a,A_27b))
     => ! [V1B: $i] :
          ( mem(V1B,arr(A_27a,A_27b))
         => ( ap(ap(c_2EHolSmt_2Earray__ext(A_27a,A_27b),V0A),V1B) = ap(c_2Emin_2E_40(A_27a),f3061(A_27b,A_27a,V1B,V0A)) ) ) ) ).

tff(conj_thm_2EHolSmt_2EALL__DISTINCT__NIL,axiom,
    ! [A_27a: del] :
      ( p(ap(c_2Elist_2EALL__DISTINCT(A_27a),c_2Elist_2ENIL(A_27a)))
    <=> $true ) ).

tff(conj_thm_2EHolSmt_2EALL__DISTINCT__CONS,axiom,
    ! [A_27a: del,V0h: $i] :
      ( mem(V0h,A_27a)
     => ! [V1t: $i] :
          ( mem(V1t,ty_2Elist_2Elist(A_27a))
         => ( p(ap(c_2Elist_2EALL__DISTINCT(A_27a),ap(ap(c_2Elist_2ECONS(A_27a),V0h),V1t)))
          <=> ( ~ p(ap(ap(c_2Ebool_2EIN(A_27a),V0h),ap(c_2Elist_2ELIST__TO__SET(A_27a),V1t)))
              & p(ap(c_2Elist_2EALL__DISTINCT(A_27a),V1t)) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2ENOT__MEM__NIL,axiom,
    ! [A_27a: del,V0x: $i] :
      ( mem(V0x,A_27a)
     => ( ~ p(ap(ap(c_2Ebool_2EIN(A_27a),V0x),ap(c_2Elist_2ELIST__TO__SET(A_27a),c_2Elist_2ENIL(A_27a))))
      <=> $true ) ) ).

tff(conj_thm_2EHolSmt_2ENOT__MEM__CONS,axiom,
    ! [A_27a: del,V0x: $i] :
      ( mem(V0x,A_27a)
     => ! [V1h: $i] :
          ( mem(V1h,A_27a)
         => ! [V2t: $i] :
              ( mem(V2t,ty_2Elist_2Elist(A_27a))
             => ( ~ p(ap(ap(c_2Ebool_2EIN(A_27a),V0x),ap(c_2Elist_2ELIST__TO__SET(A_27a),ap(ap(c_2Elist_2ECONS(A_27a),V1h),V2t))))
              <=> ( ( V0x != V1h )
                  & ~ p(ap(ap(c_2Ebool_2EIN(A_27a),V0x),ap(c_2Elist_2ELIST__TO__SET(A_27a),V2t))) ) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2EAND__T,axiom,
    ! [V0p: tp__o] :
      ( ( p(inj__o(V0p))
        & $true )
    <=> p(inj__o(V0p)) ) ).

tff(conj_thm_2EHolSmt_2ET__AND,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( ( $true
          & p(inj__o(V0p)) )
      <=> ( $true
          & p(inj__o(V1q)) ) )
     => ( p(inj__o(V0p))
      <=> p(inj__o(V1q)) ) ) ).

tff(conj_thm_2EHolSmt_2EF__OR,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( ( $false
          | p(inj__o(V0p)) )
      <=> ( $false
          | p(inj__o(V1q)) ) )
     => ( p(inj__o(V0p))
      <=> p(inj__o(V1q)) ) ) ).

tff(conj_thm_2EHolSmt_2ECONJ__CONG,axiom,
    ! [V0p: tp__o,V1q: tp__o,V2r: tp__o,V3s: tp__o] :
      ( ( p(inj__o(V0p))
      <=> p(inj__o(V1q)) )
     => ( ( p(inj__o(V2r))
        <=> p(inj__o(V3s)) )
       => ( ( p(inj__o(V0p))
            & p(inj__o(V2r)) )
        <=> ( p(inj__o(V1q))
            & p(inj__o(V3s)) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2ENOT__NOT__ELIM,axiom,
    ! [V0p: tp__o] :
      ( ~ ~ p(inj__o(V0p))
     => p(inj__o(V0p)) ) ).

tff(conj_thm_2EHolSmt_2ENOT__FALSE,axiom,
    ! [V0p: tp__o] :
      ( p(inj__o(V0p))
     => ( ~ p(inj__o(V0p))
       => $false ) ) ).

tff(conj_thm_2EHolSmt_2ENNF__CONJ,axiom,
    ! [V0p: tp__o,V1q: tp__o,V2r: tp__o,V3s: tp__o] :
      ( ( ~ p(inj__o(V0p))
      <=> p(inj__o(V2r)) )
     => ( ( ~ p(inj__o(V1q))
        <=> p(inj__o(V3s)) )
       => ( ~ ( p(inj__o(V0p))
              & p(inj__o(V1q)) )
        <=> ( p(inj__o(V2r))
            | p(inj__o(V3s)) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2ENNF__DISJ,axiom,
    ! [V0p: tp__o,V1q: tp__o,V2r: tp__o,V3s: tp__o] :
      ( ( ~ p(inj__o(V0p))
      <=> p(inj__o(V2r)) )
     => ( ( ~ p(inj__o(V1q))
        <=> p(inj__o(V3s)) )
       => ( ~ ( p(inj__o(V0p))
              | p(inj__o(V1q)) )
        <=> ( p(inj__o(V2r))
            & p(inj__o(V3s)) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2ENNF__NOT__NOT,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( p(inj__o(V0p))
      <=> p(inj__o(V1q)) )
     => ( ~ ~ p(inj__o(V0p))
      <=> p(inj__o(V1q)) ) ) ).

tff(conj_thm_2EHolSmt_2ENEG__IFF__1__1,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( p(inj__o(V1q))
      <=> p(inj__o(V0p)) )
     => ~ ( p(inj__o(V0p))
        <=> ~ p(inj__o(V1q)) ) ) ).

tff(conj_thm_2EHolSmt_2ENEG__IFF__1__2,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ~ ( p(inj__o(V0p))
        <=> ~ p(inj__o(V1q)) )
     => ( p(inj__o(V1q))
      <=> p(inj__o(V0p)) ) ) ).

tff(conj_thm_2EHolSmt_2ENEG__IFF__2__1,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( p(inj__o(V0p))
      <=> ~ p(inj__o(V1q)) )
     => ~ ( p(inj__o(V0p))
        <=> p(inj__o(V1q)) ) ) ).

tff(conj_thm_2EHolSmt_2ENEG__IFF__2__2,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ~ ( p(inj__o(V0p))
        <=> p(inj__o(V1q)) )
     => ( p(inj__o(V0p))
      <=> ~ p(inj__o(V1q)) ) ) ).

tff(conj_thm_2EHolSmt_2EDISJ__ELIM__1,axiom,
    ! [V0p: tp__o,V1q: tp__o,V2r: tp__o] :
      ( ( ( p(inj__o(V0p))
          | p(inj__o(V1q)) )
       => p(inj__o(V2r)) )
     => ( p(inj__o(V0p))
       => p(inj__o(V2r)) ) ) ).

tff(conj_thm_2EHolSmt_2EDISJ__ELIM__2,axiom,
    ! [V0p: tp__o,V1q: tp__o,V2r: tp__o] :
      ( ( ( p(inj__o(V0p))
          | p(inj__o(V1q)) )
       => p(inj__o(V2r)) )
     => ( p(inj__o(V1q))
       => p(inj__o(V2r)) ) ) ).

tff(conj_thm_2EHolSmt_2EIMP__DISJ__1,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( p(inj__o(V0p))
       => p(inj__o(V1q)) )
     => ( ~ p(inj__o(V0p))
        | p(inj__o(V1q)) ) ) ).

tff(conj_thm_2EHolSmt_2EIMP__DISJ__2,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( ~ p(inj__o(V0p))
       => p(inj__o(V1q)) )
     => ( p(inj__o(V0p))
        | p(inj__o(V1q)) ) ) ).

tff(conj_thm_2EHolSmt_2EIMP__FALSE,axiom,
    ! [V0p: tp__o] :
      ( ( ~ p(inj__o(V0p))
       => $false )
     => p(inj__o(V0p)) ) ).

tff(conj_thm_2EHolSmt_2EAND__IMP__INTRO__SYM,axiom,
    ! [V0p: tp__o,V1q: tp__o,V2r: tp__o] :
      ( ( ( p(inj__o(V0p))
          & p(inj__o(V1q)) )
       => p(inj__o(V2r)) )
    <=> ( p(inj__o(V0p))
       => ( p(inj__o(V1q))
         => p(inj__o(V2r)) ) ) ) ).

tff(conj_thm_2EHolSmt_2EVALID__IFF__TRUE,axiom,
    ! [V0p: tp__o] :
      ( p(inj__o(V0p))
     => ( p(inj__o(V0p))
      <=> $true ) ) ).

tff(conj_thm_2EHolSmt_2Ed001,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ~ ( p(inj__o(V0p))
        <=> p(inj__o(V1q)) )
      | ~ p(inj__o(V0p))
      | p(inj__o(V1q)) ) ).

tff(conj_thm_2EHolSmt_2Ed002,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ~ ( p(inj__o(V0p))
        <=> p(inj__o(V1q)) )
      | p(inj__o(V0p))
      | ~ p(inj__o(V1q)) ) ).

tff(conj_thm_2EHolSmt_2Ed003,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( p(inj__o(V0p))
      <=> ~ p(inj__o(V1q)) )
      | ~ p(inj__o(V0p))
      | p(inj__o(V1q)) ) ).

tff(conj_thm_2EHolSmt_2Ed004,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( ~ p(inj__o(V0p))
      <=> p(inj__o(V1q)) )
      | p(inj__o(V0p))
      | ~ p(inj__o(V1q)) ) ).

tff(conj_thm_2EHolSmt_2Ed005,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( p(inj__o(V0p))
      <=> p(inj__o(V1q)) )
      | ~ p(inj__o(V0p))
      | ~ p(inj__o(V1q)) ) ).

tff(conj_thm_2EHolSmt_2Ed006,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( p(inj__o(V0p))
      <=> p(inj__o(V1q)) )
      | p(inj__o(V0p))
      | p(inj__o(V1q)) ) ).

tff(conj_thm_2EHolSmt_2Ed007,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ~ ( ~ p(inj__o(V0p))
        <=> p(inj__o(V1q)) )
      | p(inj__o(V0p))
      | p(inj__o(V1q)) ) ).

tff(conj_thm_2EHolSmt_2Ed008,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ~ ( p(inj__o(V0p))
        <=> ~ p(inj__o(V1q)) )
      | p(inj__o(V0p))
      | p(inj__o(V1q)) ) ).

tff(conj_thm_2EHolSmt_2Ed009,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ~ p(inj__o(V0p))
      | p(inj__o(V1q))
      | ~ ( p(inj__o(V0p))
        <=> p(inj__o(V1q)) ) ) ).

tff(conj_thm_2EHolSmt_2Ed010,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( p(inj__o(V0p))
      | ~ p(inj__o(V1q))
      | ~ ( p(inj__o(V0p))
        <=> p(inj__o(V1q)) ) ) ).

tff(conj_thm_2EHolSmt_2Ed011,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( p(inj__o(V0p))
      | p(inj__o(V1q))
      | ~ ( ~ p(inj__o(V0p))
        <=> p(inj__o(V1q)) ) ) ).

tff(conj_thm_2EHolSmt_2Ed012,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( p(inj__o(V0p))
      | p(inj__o(V1q))
      | ~ ( p(inj__o(V0p))
        <=> ~ p(inj__o(V1q)) ) ) ).

tff(conj_thm_2EHolSmt_2Ed013,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( ~ p(inj__o(V0p))
        & ~ p(inj__o(V1q)) )
      | p(inj__o(V0p))
      | p(inj__o(V1q)) ) ).

tff(conj_thm_2EHolSmt_2Ed014,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( ~ p(inj__o(V0p))
        & p(inj__o(V1q)) )
      | p(inj__o(V0p))
      | ~ p(inj__o(V1q)) ) ).

tff(conj_thm_2EHolSmt_2Ed015,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( p(inj__o(V0p))
        & ~ p(inj__o(V1q)) )
      | ~ p(inj__o(V0p))
      | p(inj__o(V1q)) ) ).

tff(conj_thm_2EHolSmt_2Ed016,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( p(inj__o(V0p))
        & p(inj__o(V1q)) )
      | ~ p(inj__o(V0p))
      | ~ p(inj__o(V1q)) ) ).

tff(conj_thm_2EHolSmt_2Ed017,axiom,
    ! [A_27a: del,V0p: tp__o,V1y: $i] :
      ( mem(V1y,A_27a)
     => ! [V2x: $i] :
          ( mem(V2x,A_27a)
         => ( p(inj__o(V0p))
            | ( V1y = ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(V0p)),V2x),V1y) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Ed018,axiom,
    ! [A_27a: del,V0p: tp__o,V1x: $i] :
      ( mem(V1x,A_27a)
     => ! [V2y: $i] :
          ( mem(V2y,A_27a)
         => ( ~ p(inj__o(V0p))
            | ( V1x = ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(V0p)),V1x),V2y) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Ed019,axiom,
    ! [A_27a: del,V0p: tp__o,V1x: $i] :
      ( mem(V1x,A_27a)
     => ! [V2y: $i] :
          ( mem(V2y,A_27a)
         => ( p(inj__o(V0p))
            | ( ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(V0p)),V1x),V2y) = V2y ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Ed020,axiom,
    ! [A_27a: del,V0p: tp__o,V1x: $i] :
      ( mem(V1x,A_27a)
     => ! [V2y: $i] :
          ( mem(V2y,A_27a)
         => ( ~ p(inj__o(V0p))
            | ( ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(V0p)),V1x),V2y) = V1x ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Ed021,axiom,
    ! [V0p: tp__o,V1q: tp__o,V2r: tp__o] :
      ( p(inj__o(V0p))
      | p(inj__o(V1q))
      | ~ p(ap(ap(ap(c_2Ebool_2ECOND(bool),inj__o(V0p)),inj__o(V2r)),inj__o(V1q))) ) ).

tff(conj_thm_2EHolSmt_2Ed022,axiom,
    ! [V0p: tp__o,V1q: tp__o,V2r: tp__o] :
      ( ~ p(inj__o(V0p))
      | p(inj__o(V1q))
      | ~ p(ap(ap(ap(c_2Ebool_2ECOND(bool),inj__o(V0p)),inj__o(V1q)),inj__o(V2r))) ) ).

tff(conj_thm_2EHolSmt_2Ed023,axiom,
    ! [V0p: tp__o,V1q: tp__o,V2r: tp__o] :
      ( p(ap(ap(ap(c_2Ebool_2ECOND(bool),inj__o(V0p)),inj__o(V1q)),inj__o(V2r)))
      | ~ p(inj__o(V0p))
      | ~ p(inj__o(V1q)) ) ).

tff(conj_thm_2EHolSmt_2Ed024,axiom,
    ! [V0p: tp__o,V1q: tp__o,V2r: tp__o] :
      ( p(ap(ap(ap(c_2Ebool_2ECOND(bool),inj__o(V0p)),inj__o(V1q)),inj__o(V2r)))
      | p(inj__o(V0p))
      | ~ p(inj__o(V2r)) ) ).

tff(conj_thm_2EHolSmt_2Ed025,axiom,
    ! [V0p: tp__o,V1q: tp__o,V2r: tp__o] :
      ( p(ap(ap(ap(c_2Ebool_2ECOND(bool),inj__o(V0p)),ap(c_2Ebool_2E_7E,inj__o(V1q))),inj__o(V2r)))
      | ~ p(inj__o(V0p))
      | p(inj__o(V1q)) ) ).

tff(conj_thm_2EHolSmt_2Ed026,axiom,
    ! [V0p: tp__o,V1q: tp__o,V2r: tp__o] :
      ( p(ap(ap(ap(c_2Ebool_2ECOND(bool),inj__o(V0p)),inj__o(V1q)),ap(c_2Ebool_2E_7E,inj__o(V2r))))
      | p(inj__o(V0p))
      | p(inj__o(V2r)) ) ).

tff(conj_thm_2EHolSmt_2Ed027,axiom,
    ! [V0p: tp__o,V1q: tp__o,V2r: tp__o] :
      ( ~ p(ap(ap(ap(c_2Ebool_2ECOND(bool),inj__o(V0p)),inj__o(V1q)),inj__o(V2r)))
      | ~ p(inj__o(V0p))
      | p(inj__o(V1q)) ) ).

tff(conj_thm_2EHolSmt_2Ed028,axiom,
    ! [V0p: tp__o,V1q: tp__o,V2r: tp__o] :
      ( ~ p(ap(ap(ap(c_2Ebool_2ECOND(bool),inj__o(V0p)),inj__o(V1q)),inj__o(V2r)))
      | p(inj__o(V0p))
      | p(inj__o(V2r)) ) ).

tff(conj_thm_2EHolSmt_2Er001,axiom,
    ! [A_27a: del,V0x: $i] :
      ( mem(V0x,A_27a)
     => ! [V1y: $i] :
          ( mem(V1y,A_27a)
         => ( ( V0x = V1y )
          <=> ( V1y = V0x ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er002,axiom,
    ! [A_27a: del,V0x: $i] :
      ( mem(V0x,A_27a)
     => ( ( V0x = V0x )
      <=> $true ) ) ).

tff(conj_thm_2EHolSmt_2Er003,axiom,
    ! [V0p: tp__o] :
      ( ( p(inj__o(V0p))
      <=> $true )
    <=> p(inj__o(V0p)) ) ).

tff(conj_thm_2EHolSmt_2Er004,axiom,
    ! [V0p: tp__o] :
      ( ( $true
      <=> p(inj__o(V0p)) )
    <=> p(inj__o(V0p)) ) ).

tff(conj_thm_2EHolSmt_2Er005,axiom,
    ! [V0p: tp__o] :
      ( ( p(inj__o(V0p))
      <=> $false )
    <=> ~ p(inj__o(V0p)) ) ).

tff(conj_thm_2EHolSmt_2Er006,axiom,
    ! [V0p: tp__o] :
      ( ( $false
      <=> p(inj__o(V0p)) )
    <=> ~ p(inj__o(V0p)) ) ).

tff(conj_thm_2EHolSmt_2Er007,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( ~ p(inj__o(V0p))
      <=> ~ p(inj__o(V1q)) )
    <=> ( p(inj__o(V0p))
      <=> p(inj__o(V1q)) ) ) ).

tff(conj_thm_2EHolSmt_2Er008,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ~ ( p(inj__o(V0p))
        <=> ~ p(inj__o(V1q)) )
    <=> ( p(inj__o(V0p))
      <=> p(inj__o(V1q)) ) ) ).

tff(conj_thm_2EHolSmt_2Er009,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ~ ( ~ p(inj__o(V0p))
        <=> p(inj__o(V1q)) )
    <=> ( p(inj__o(V0p))
      <=> p(inj__o(V1q)) ) ) ).

tff(conj_thm_2EHolSmt_2Er010,axiom,
    ! [A_27a: del,V0x: $i] :
      ( mem(V0x,A_27a)
     => ! [V1y: $i] :
          ( mem(V1y,A_27a)
         => ( ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(fo__c_2Ebool_2ET)),V0x),V1y) = V0x ) ) ) ).

tff(conj_thm_2EHolSmt_2Er011,axiom,
    ! [A_27a: del,V0x: $i] :
      ( mem(V0x,A_27a)
     => ! [V1y: $i] :
          ( mem(V1y,A_27a)
         => ( ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(fo__c_2Ebool_2EF)),V0x),V1y) = V1y ) ) ) ).

tff(conj_thm_2EHolSmt_2Er012,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( p(ap(ap(ap(c_2Ebool_2ECOND(bool),inj__o(V0p)),inj__o(V1q)),inj__o(fo__c_2Ebool_2ET)))
    <=> ( ~ p(inj__o(V0p))
        | p(inj__o(V1q)) ) ) ).

tff(conj_thm_2EHolSmt_2Er013,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( p(ap(ap(ap(c_2Ebool_2ECOND(bool),inj__o(V0p)),inj__o(V1q)),inj__o(fo__c_2Ebool_2ET)))
    <=> ( p(inj__o(V1q))
        | ~ p(inj__o(V0p)) ) ) ).

tff(conj_thm_2EHolSmt_2Er014,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( p(ap(ap(ap(c_2Ebool_2ECOND(bool),inj__o(V0p)),inj__o(V1q)),ap(c_2Ebool_2E_7E,inj__o(V1q))))
    <=> ( p(inj__o(V0p))
      <=> p(inj__o(V1q)) ) ) ).

tff(conj_thm_2EHolSmt_2Er015,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( p(ap(ap(ap(c_2Ebool_2ECOND(bool),inj__o(V0p)),inj__o(V1q)),ap(c_2Ebool_2E_7E,inj__o(V1q))))
    <=> ( p(inj__o(V1q))
      <=> p(inj__o(V0p)) ) ) ).

tff(conj_thm_2EHolSmt_2Er016,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( p(ap(ap(ap(c_2Ebool_2ECOND(bool),inj__o(V0p)),ap(c_2Ebool_2E_7E,inj__o(V1q))),inj__o(V1q)))
    <=> ( p(inj__o(V0p))
      <=> ~ p(inj__o(V1q)) ) ) ).

tff(conj_thm_2EHolSmt_2Er017,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( p(ap(ap(ap(c_2Ebool_2ECOND(bool),inj__o(V0p)),ap(c_2Ebool_2E_7E,inj__o(V1q))),inj__o(V1q)))
    <=> ( ~ p(inj__o(V1q))
      <=> p(inj__o(V0p)) ) ) ).

tff(conj_thm_2EHolSmt_2Er018,axiom,
    ! [A_27a: del,V0p: tp__o,V1x: $i] :
      ( mem(V1x,A_27a)
     => ! [V2y: $i] :
          ( mem(V2y,A_27a)
         => ( ap(ap(ap(c_2Ebool_2ECOND(A_27a),ap(c_2Ebool_2E_7E,inj__o(V0p))),V1x),V2y) = ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(V0p)),V2y),V1x) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er019,axiom,
    ! [A_27a: del,V0p: tp__o,V1q: tp__o,V2x: $i] :
      ( mem(V2x,A_27a)
     => ! [V3y: $i] :
          ( mem(V3y,A_27a)
         => ( ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(V0p)),ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(V1q)),V2x),V3y)),V2x) = ap(ap(ap(c_2Ebool_2ECOND(A_27a),ap(ap(c_2Ebool_2E_2F_5C,inj__o(V0p)),ap(c_2Ebool_2E_7E,inj__o(V1q)))),V3y),V2x) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er020,axiom,
    ! [A_27a: del,V0p: tp__o,V1q: tp__o,V2x: $i] :
      ( mem(V2x,A_27a)
     => ! [V3y: $i] :
          ( mem(V3y,A_27a)
         => ( ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(V0p)),ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(V1q)),V2x),V3y)),V2x) = ap(ap(ap(c_2Ebool_2ECOND(A_27a),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,inj__o(V1q))),inj__o(V0p))),V3y),V2x) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er021,axiom,
    ! [A_27a: del,V0p: tp__o,V1q: tp__o,V2x: $i] :
      ( mem(V2x,A_27a)
     => ! [V3y: $i] :
          ( mem(V3y,A_27a)
         => ( ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(V0p)),ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(V1q)),V2x),V3y)),V3y) = ap(ap(ap(c_2Ebool_2ECOND(A_27a),ap(ap(c_2Ebool_2E_2F_5C,inj__o(V0p)),inj__o(V1q))),V2x),V3y) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er022,axiom,
    ! [A_27a: del,V0p: tp__o,V1q: tp__o,V2x: $i] :
      ( mem(V2x,A_27a)
     => ! [V3y: $i] :
          ( mem(V3y,A_27a)
         => ( ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(V0p)),ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(V1q)),V2x),V3y)),V3y) = ap(ap(ap(c_2Ebool_2ECOND(A_27a),ap(ap(c_2Ebool_2E_2F_5C,inj__o(V1q)),inj__o(V0p))),V2x),V3y) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er023,axiom,
    ! [A_27a: del,V0p: tp__o,V1x: $i] :
      ( mem(V1x,A_27a)
     => ! [V2y: $i] :
          ( mem(V2y,A_27a)
         => ! [V3z: $i] :
              ( mem(V3z,A_27a)
             => ( ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(V0p)),V1x),ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(V0p)),V2y),V3z)) = ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(V0p)),V1x),V3z) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er024,axiom,
    ! [A_27a: del,V0p: tp__o,V1x: $i] :
      ( mem(V1x,A_27a)
     => ! [V2q: tp__o,V3y: $i] :
          ( mem(V3y,A_27a)
         => ( ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(V0p)),V1x),ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(V2q)),V1x),V3y)) = ap(ap(ap(c_2Ebool_2ECOND(A_27a),ap(ap(c_2Ebool_2E_5C_2F,inj__o(V0p)),inj__o(V2q))),V1x),V3y) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er025,axiom,
    ! [A_27a: del,V0p: tp__o,V1x: $i] :
      ( mem(V1x,A_27a)
     => ! [V2q: tp__o,V3y: $i] :
          ( mem(V3y,A_27a)
         => ( ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(V0p)),V1x),ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(V2q)),V1x),V3y)) = ap(ap(ap(c_2Ebool_2ECOND(A_27a),ap(ap(c_2Ebool_2E_5C_2F,inj__o(V2q)),inj__o(V0p))),V1x),V3y) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er026,axiom,
    ! [A_27a: del,V0p: tp__o,V1x: $i] :
      ( mem(V1x,A_27a)
     => ! [V2y: $i] :
          ( mem(V2y,A_27a)
         => ! [V3z: $i] :
              ( mem(V3z,A_27a)
             => ( p(ap(ap(ap(c_2Ebool_2ECOND(bool),inj__o(V0p)),ap(ap(c_2Emin_2E_3D(A_27a),V1x),V2y)),ap(ap(c_2Emin_2E_3D(A_27a),V1x),V3z)))
              <=> ( V1x = ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(V0p)),V2y),V3z) ) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er027,axiom,
    ! [A_27a: del,V0p: tp__o,V1x: $i] :
      ( mem(V1x,A_27a)
     => ! [V2y: $i] :
          ( mem(V2y,A_27a)
         => ! [V3z: $i] :
              ( mem(V3z,A_27a)
             => ( p(ap(ap(ap(c_2Ebool_2ECOND(bool),inj__o(V0p)),ap(ap(c_2Emin_2E_3D(A_27a),V1x),V2y)),ap(ap(c_2Emin_2E_3D(A_27a),V2y),V3z)))
              <=> ( V2y = ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(V0p)),V1x),V3z) ) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er028,axiom,
    ! [A_27a: del,V0p: tp__o,V1x: $i] :
      ( mem(V1x,A_27a)
     => ! [V2y: $i] :
          ( mem(V2y,A_27a)
         => ! [V3z: $i] :
              ( mem(V3z,A_27a)
             => ( p(ap(ap(ap(c_2Ebool_2ECOND(bool),inj__o(V0p)),ap(ap(c_2Emin_2E_3D(A_27a),V1x),V2y)),ap(ap(c_2Emin_2E_3D(A_27a),V3z),V2y)))
              <=> ( V2y = ap(ap(ap(c_2Ebool_2ECOND(A_27a),inj__o(V0p)),V1x),V3z) ) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er029,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( ~ p(inj__o(V0p))
       => p(inj__o(V1q)) )
    <=> ( p(inj__o(V0p))
        | p(inj__o(V1q)) ) ) ).

tff(conj_thm_2EHolSmt_2Er030,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( ~ p(inj__o(V0p))
       => p(inj__o(V1q)) )
    <=> ( p(inj__o(V1q))
        | p(inj__o(V0p)) ) ) ).

tff(conj_thm_2EHolSmt_2Er031,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( p(inj__o(V0p))
       => p(inj__o(V1q)) )
    <=> ( ~ p(inj__o(V0p))
        | p(inj__o(V1q)) ) ) ).

tff(conj_thm_2EHolSmt_2Er032,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( p(inj__o(V0p))
       => p(inj__o(V1q)) )
    <=> ( p(inj__o(V1q))
        | ~ p(inj__o(V0p)) ) ) ).

tff(conj_thm_2EHolSmt_2Er033,axiom,
    ! [V0p: tp__o] :
      ( ( $true
       => p(inj__o(V0p)) )
    <=> p(inj__o(V0p)) ) ).

tff(conj_thm_2EHolSmt_2Er034,axiom,
    ! [V0p: tp__o] :
      ( ( p(inj__o(V0p))
       => $true )
    <=> $true ) ).

tff(conj_thm_2EHolSmt_2Er035,axiom,
    ! [V0p: tp__o] :
      ( ( $false
       => p(inj__o(V0p)) )
    <=> $true ) ).

tff(conj_thm_2EHolSmt_2Er036,axiom,
    ! [V0p: tp__o] :
      ( ( p(inj__o(V0p))
       => p(inj__o(V0p)) )
    <=> $true ) ).

tff(conj_thm_2EHolSmt_2Er037,axiom,
    ! [V0p: tp__o,V1q: tp__o,V2r: tp__o] :
      ( ( ( p(inj__o(V0p))
        <=> p(inj__o(V1q)) )
       => p(inj__o(V2r)) )
    <=> ( p(inj__o(V2r))
        | ( p(inj__o(V1q))
        <=> ~ p(inj__o(V0p)) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er038,axiom,
    ( ~ $true
  <=> $false ) ).

tff(conj_thm_2EHolSmt_2Er039,axiom,
    ( ~ $false
  <=> $true ) ).

tff(conj_thm_2EHolSmt_2Er040,axiom,
    ! [V0p: tp__o] :
      ( ~ ~ p(inj__o(V0p))
    <=> p(inj__o(V0p)) ) ).

tff(conj_thm_2EHolSmt_2Er041,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( p(inj__o(V0p))
        | p(inj__o(V1q)) )
    <=> ( p(inj__o(V1q))
        | p(inj__o(V0p)) ) ) ).

tff(conj_thm_2EHolSmt_2Er042,axiom,
    ! [V0p: tp__o] :
      ( ( p(inj__o(V0p))
        | $true )
    <=> $true ) ).

tff(conj_thm_2EHolSmt_2Er043,axiom,
    ! [V0p: tp__o] :
      ( ( p(inj__o(V0p))
        | ~ p(inj__o(V0p)) )
    <=> $true ) ).

tff(conj_thm_2EHolSmt_2Er044,axiom,
    ! [V0p: tp__o] :
      ( ( ~ p(inj__o(V0p))
        | p(inj__o(V0p)) )
    <=> $true ) ).

tff(conj_thm_2EHolSmt_2Er045,axiom,
    ! [V0p: tp__o] :
      ( ( $true
        | p(inj__o(V0p)) )
    <=> $true ) ).

tff(conj_thm_2EHolSmt_2Er046,axiom,
    ! [V0p: tp__o] :
      ( ( p(inj__o(V0p))
        | $false )
    <=> p(inj__o(V0p)) ) ).

tff(conj_thm_2EHolSmt_2Er047,axiom,
    ! [V0p: tp__o] :
      ( ( $false
        | p(inj__o(V0p)) )
    <=> p(inj__o(V0p)) ) ).

tff(conj_thm_2EHolSmt_2Er048,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( p(inj__o(V0p))
        & p(inj__o(V1q)) )
    <=> ( p(inj__o(V1q))
        & p(inj__o(V0p)) ) ) ).

tff(conj_thm_2EHolSmt_2Er049,axiom,
    ! [V0p: tp__o] :
      ( ( p(inj__o(V0p))
        & $true )
    <=> p(inj__o(V0p)) ) ).

tff(conj_thm_2EHolSmt_2Er050,axiom,
    ! [V0p: tp__o] :
      ( ( $true
        & p(inj__o(V0p)) )
    <=> p(inj__o(V0p)) ) ).

tff(conj_thm_2EHolSmt_2Er051,axiom,
    ! [V0p: tp__o] :
      ( ( p(inj__o(V0p))
        & $false )
    <=> $false ) ).

tff(conj_thm_2EHolSmt_2Er052,axiom,
    ! [V0p: tp__o] :
      ( ( $false
        & p(inj__o(V0p)) )
    <=> $false ) ).

tff(conj_thm_2EHolSmt_2Er053,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( p(inj__o(V0p))
        & p(inj__o(V1q)) )
    <=> ~ ( ~ p(inj__o(V0p))
          | ~ p(inj__o(V1q)) ) ) ).

tff(conj_thm_2EHolSmt_2Er054,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( ~ p(inj__o(V0p))
        & p(inj__o(V1q)) )
    <=> ~ ( p(inj__o(V0p))
          | ~ p(inj__o(V1q)) ) ) ).

tff(conj_thm_2EHolSmt_2Er055,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( p(inj__o(V0p))
        & ~ p(inj__o(V1q)) )
    <=> ~ ( ~ p(inj__o(V0p))
          | p(inj__o(V1q)) ) ) ).

tff(conj_thm_2EHolSmt_2Er056,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( ~ p(inj__o(V0p))
        & ~ p(inj__o(V1q)) )
    <=> ~ ( p(inj__o(V0p))
          | p(inj__o(V1q)) ) ) ).

tff(conj_thm_2EHolSmt_2Er057,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( p(inj__o(V0p))
        & p(inj__o(V1q)) )
    <=> ~ ( ~ p(inj__o(V1q))
          | ~ p(inj__o(V0p)) ) ) ).

tff(conj_thm_2EHolSmt_2Er058,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( ~ p(inj__o(V0p))
        & p(inj__o(V1q)) )
    <=> ~ ( ~ p(inj__o(V1q))
          | p(inj__o(V0p)) ) ) ).

tff(conj_thm_2EHolSmt_2Er059,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( p(inj__o(V0p))
        & ~ p(inj__o(V1q)) )
    <=> ~ ( p(inj__o(V1q))
          | ~ p(inj__o(V0p)) ) ) ).

tff(conj_thm_2EHolSmt_2Er060,axiom,
    ! [V0p: tp__o,V1q: tp__o] :
      ( ( ~ p(inj__o(V0p))
        & ~ p(inj__o(V1q)) )
    <=> ~ ( p(inj__o(V1q))
          | p(inj__o(V0p)) ) ) ).

tff(conj_thm_2EHolSmt_2Er061,axiom,
    ! [A_27a: del,A_27b: del,V0x: $i] :
      ( mem(V0x,A_27a)
     => ! [V1f: $i] :
          ( mem(V1f,arr(A_27a,A_27b))
         => ( ap(ap(ap(c_2Ecombin_2EUPDATE(A_27a,A_27b),V0x),ap(V1f,V0x)),V1f) = V1f ) ) ) ).

tff(conj_thm_2EHolSmt_2Er062,axiom,
    ! [A_27a: del,V0x: $i] :
      ( mem(V0x,A_27a)
     => ( p(ap(c_2Elist_2EALL__DISTINCT(A_27a),ap(ap(c_2Elist_2ECONS(A_27a),V0x),ap(ap(c_2Elist_2ECONS(A_27a),V0x),c_2Elist_2ENIL(A_27a)))))
      <=> $false ) ) ).

tff(conj_thm_2EHolSmt_2Er063,axiom,
    ! [A_27a: del,V0x: $i] :
      ( mem(V0x,A_27a)
     => ! [V1y: $i] :
          ( mem(V1y,A_27a)
         => ( p(ap(c_2Elist_2EALL__DISTINCT(A_27a),ap(ap(c_2Elist_2ECONS(A_27a),V0x),ap(ap(c_2Elist_2ECONS(A_27a),V1y),c_2Elist_2ENIL(A_27a)))))
          <=> ( V0x != V1y ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er064,axiom,
    ! [A_27a: del,V0x: $i] :
      ( mem(V0x,A_27a)
     => ! [V1y: $i] :
          ( mem(V1y,A_27a)
         => ( p(ap(c_2Elist_2EALL__DISTINCT(A_27a),ap(ap(c_2Elist_2ECONS(A_27a),V0x),ap(ap(c_2Elist_2ECONS(A_27a),V1y),c_2Elist_2ENIL(A_27a)))))
          <=> ( V1y != V0x ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er065,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( ( V0x = V1y )
    <=> ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V1y)))) = surj__ty_2Einteger_2Eint(ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ) ).

tff(conj_thm_2EHolSmt_2Er066,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] :
      ( ( V0x = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),inj__ty_2Einteger_2Eint(V2z))) )
    <=> ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V2z)))) = V1y ) ) ).

tff(conj_thm_2EHolSmt_2Er067,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] :
      ( ( V0x = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V2z)))) )
    <=> ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__add,ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V1y))),inj__ty_2Einteger_2Eint(V2z)))) = surj__ty_2Einteger_2Eint(ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ) ).

tff(conj_thm_2EHolSmt_2Er068,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] :
      ( ( V0x = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V1y))),inj__ty_2Einteger_2Eint(V2z))) )
    <=> ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),ap(ap(c_2Einteger_2Eint__add,ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V2z))),inj__ty_2Einteger_2Eint(V0x)))) = surj__ty_2Einteger_2Eint(ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ) ).

tff(conj_thm_2EHolSmt_2Er069,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] :
      ( ( V0x = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),inj__ty_2Einteger_2Eint(V2z))) )
    <=> ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__add,ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V1y))),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V2z))))) = surj__ty_2Einteger_2Eint(ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ) ).

tff(conj_thm_2EHolSmt_2Er070,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] :
      ( ( V0x = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),inj__ty_2Einteger_2Eint(V2z))) )
    <=> ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V2z)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V0x))))) = surj__ty_2Einteger_2Eint(ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ) ).

tff(conj_thm_2EHolSmt_2Er071,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] :
      ( ( V0x = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),inj__ty_2Einteger_2Eint(V2z))) )
    <=> ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),ap(ap(c_2Einteger_2Eint__add,ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V0x))),inj__ty_2Einteger_2Eint(V2z)))) = surj__ty_2Einteger_2Eint(ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ) ).

tff(conj_thm_2EHolSmt_2Er072,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] :
      ( ( V0x = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),inj__ty_2Einteger_2Eint(V2z))) )
    <=> ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V2z)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V0x)))) = surj__ty_2Einteger_2Eint(ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(V1y))) ) ) ).

tff(conj_thm_2EHolSmt_2Er073,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] :
      ( ( V0x = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(V1y))),inj__ty_2Einteger_2Eint(V2z))) )
    <=> ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V2z)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V0x)))) = V1y ) ) ).

tff(conj_thm_2EHolSmt_2Er074,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V0x))) = surj__ty_2Einteger_2Eint(ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(V1y))) )
    <=> ( V0x = V1y ) ) ).

tff(conj_thm_2EHolSmt_2Er075,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] :
      ( ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V0x))),inj__ty_2Einteger_2Eint(V1y))) = V2z )
    <=> ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V1y)))) = surj__ty_2Einteger_2Eint(ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(V2z))) ) ) ).

tff(conj_thm_2EHolSmt_2Er076,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y))) = surj__ty_2Einteger_2Eint(ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) )
    <=> ( V1y = surj__ty_2Einteger_2Eint(ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(V0x))) ) ) ).

tff(conj_thm_2EHolSmt_2Er077,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] :
      ( ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y))) = V2z )
    <=> ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V2z)))) = surj__ty_2Einteger_2Eint(ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(V0x))) ) ) ).

tff(conj_thm_2EHolSmt_2Er078,axiom,
    ! [V0a: tp__ty_2Einteger_2Eint,V1x: tp__ty_2Einteger_2Eint,V2v: tp__ty_2Einteger_2Eint,V3y: tp__ty_2Einteger_2Eint,V4w: tp__ty_2Einteger_2Eint,V5z: tp__ty_2Einteger_2Eint] :
      ( ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0a)),ap(ap(c_2Einteger_2Eint__add,ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V1x))),ap(ap(c_2Einteger_2Eint__add,ap(ap(c_2Einteger_2Eint__mul,inj__ty_2Einteger_2Eint(V2v)),inj__ty_2Einteger_2Eint(V3y))),ap(ap(c_2Einteger_2Eint__mul,inj__ty_2Einteger_2Eint(V4w)),inj__ty_2Einteger_2Eint(V5z)))))) = surj__ty_2Einteger_2Eint(ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) )
    <=> ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1x)),ap(ap(c_2Einteger_2Eint__add,ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(V2v))),inj__ty_2Einteger_2Eint(V3y))),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(V4w))),inj__ty_2Einteger_2Eint(V5z))))) = V0a ) ) ).

tff(conj_thm_2EHolSmt_2Er079,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),inj__ty_2Einteger_2Eint(V0x))) = V0x ) ).

tff(conj_thm_2EHolSmt_2Er080,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) = V0x ) ).

tff(conj_thm_2EHolSmt_2Er081,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y))) = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),inj__ty_2Einteger_2Eint(V0x))) ) ).

tff(conj_thm_2EHolSmt_2Er082,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V0x))) = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))),inj__ty_2Einteger_2Eint(V0x))) ) ).

tff(conj_thm_2EHolSmt_2Er083,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y))),inj__ty_2Einteger_2Eint(V2z))) = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),inj__ty_2Einteger_2Eint(V2z)))) ) ).

tff(conj_thm_2EHolSmt_2Er084,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y))),inj__ty_2Einteger_2Eint(V2z))) = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V2z)),inj__ty_2Einteger_2Eint(V1y)))) ) ).

tff(conj_thm_2EHolSmt_2Er085,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),inj__ty_2Einteger_2Eint(V2z)))) = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V2z)),inj__ty_2Einteger_2Eint(V0x)))) ) ).

tff(conj_thm_2EHolSmt_2Er086,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),inj__ty_2Einteger_2Eint(V2z)))) = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V2z)))) ) ).

tff(conj_thm_2EHolSmt_2Er087,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint,V3u: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V2z)),inj__ty_2Einteger_2Eint(V3u))))) = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V2z)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V3u)),inj__ty_2Einteger_2Eint(V0x))))) ) ).

tff(conj_thm_2EHolSmt_2Er088,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__ge,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V0x)))
    <=> $true ) ).

tff(conj_thm_2EHolSmt_2Er089,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__ge,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y)))
    <=> p(ap(ap(c_2Einteger_2Eint__ge,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V1y)))),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er090,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__ge,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y)))
    <=> p(ap(ap(c_2Einteger_2Eint__le,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V0x)))),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er091,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__ge,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),inj__ty_2Einteger_2Eint(V2z))))
    <=> p(ap(ap(c_2Einteger_2Eint__le,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V2z)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V0x))))),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er092,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__ge,ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V0x))),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))))
    <=> p(ap(ap(c_2Einteger_2Eint__le,inj__ty_2Einteger_2Eint(V0x)),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er093,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__ge,ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V0x))),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(V1y))))
    <=> p(ap(ap(c_2Einteger_2Eint__le,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y))) ) ).

tff(conj_thm_2EHolSmt_2Er094,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__ge,ap(ap(c_2Einteger_2Eint__add,ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V0x))),inj__ty_2Einteger_2Eint(V1y))),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))))
    <=> p(ap(ap(c_2Einteger_2Eint__le,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V1y)))),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er095,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__ge,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V1y)))),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))))
    <=> p(ap(ap(c_2Einteger_2Eint__le,inj__ty_2Einteger_2Eint(V1y)),inj__ty_2Einteger_2Eint(V0x))) ) ).

tff(conj_thm_2EHolSmt_2Er096,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__gt,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y)))
    <=> ~ p(ap(ap(c_2Einteger_2Eint__ge,inj__ty_2Einteger_2Eint(V1y)),inj__ty_2Einteger_2Eint(V0x))) ) ).

tff(conj_thm_2EHolSmt_2Er097,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__gt,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y)))
    <=> ~ p(ap(ap(c_2Einteger_2Eint__le,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y))) ) ).

tff(conj_thm_2EHolSmt_2Er098,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__gt,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y)))
    <=> ~ p(ap(ap(c_2Einteger_2Eint__le,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V1y)))),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er099,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__gt,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y)))
    <=> ~ p(ap(ap(c_2Einteger_2Eint__ge,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V0x)))),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er100,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__gt,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),inj__ty_2Einteger_2Eint(V2z))))
    <=> ~ p(ap(ap(c_2Einteger_2Eint__ge,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V2z)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V0x)))),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(V1y)))) ) ).

tff(conj_thm_2EHolSmt_2Er101,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__le,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V0x)))
    <=> $true ) ).

tff(conj_thm_2EHolSmt_2Er102,axiom,
    ( p(ap(ap(c_2Einteger_2Eint__le,ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))))
  <=> $true ) ).

tff(conj_thm_2EHolSmt_2Er103,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__le,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y)))
    <=> p(ap(ap(c_2Einteger_2Eint__ge,inj__ty_2Einteger_2Eint(V1y)),inj__ty_2Einteger_2Eint(V0x))) ) ).

tff(conj_thm_2EHolSmt_2Er104,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__le,ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),ap(ap(c_2Einteger_2Eint__add,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(V0x))),inj__ty_2Einteger_2Eint(V1y))))
    <=> p(ap(ap(c_2Einteger_2Eint__ge,inj__ty_2Einteger_2Eint(V1y)),inj__ty_2Einteger_2Eint(V0x))) ) ).

tff(conj_thm_2EHolSmt_2Er105,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__le,ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V0x))),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))))
    <=> p(ap(ap(c_2Einteger_2Eint__ge,inj__ty_2Einteger_2Eint(V0x)),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er106,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__le,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y)))
    <=> p(ap(ap(c_2Einteger_2Eint__le,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V1y)))),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er107,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__le,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y)))
    <=> p(ap(ap(c_2Einteger_2Eint__ge,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V0x)))),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er108,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__le,ap(ap(c_2Einteger_2Eint__add,ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V0x))),inj__ty_2Einteger_2Eint(V1y))),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))))
    <=> p(ap(ap(c_2Einteger_2Eint__ge,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V1y)))),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er109,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__le,ap(ap(c_2Einteger_2Eint__add,ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V0x))),inj__ty_2Einteger_2Eint(V1y))),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(V2z))))
    <=> p(ap(ap(c_2Einteger_2Eint__ge,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V1y)))),inj__ty_2Einteger_2Eint(V2z))) ) ).

tff(conj_thm_2EHolSmt_2Er110,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__le,ap(ap(c_2Einteger_2Eint__add,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(V0x))),inj__ty_2Einteger_2Eint(V1y))),inj__ty_2Einteger_2Eint(V2z)))
    <=> p(ap(ap(c_2Einteger_2Eint__le,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V2z)))),inj__ty_2Einteger_2Eint(V0x))) ) ).

tff(conj_thm_2EHolSmt_2Er111,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__le,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V1y)))),inj__ty_2Einteger_2Eint(V2z)))
    <=> p(ap(ap(c_2Einteger_2Eint__le,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__add,ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V1y))),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V2z))))),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er112,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__le,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),inj__ty_2Einteger_2Eint(V2z))))
    <=> p(ap(ap(c_2Einteger_2Eint__le,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V2z)))),inj__ty_2Einteger_2Eint(V1y))) ) ).

tff(conj_thm_2EHolSmt_2Er113,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__le,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),inj__ty_2Einteger_2Eint(V2z))))
    <=> p(ap(ap(c_2Einteger_2Eint__ge,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V2z)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V0x)))),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(V1y)))) ) ).

tff(conj_thm_2EHolSmt_2Er114,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__le,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),inj__ty_2Einteger_2Eint(V2z))))
    <=> p(ap(ap(c_2Einteger_2Eint__le,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__add,ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V1y))),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V2z))))),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er115,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__lt,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y)))
    <=> ~ p(ap(ap(c_2Einteger_2Eint__le,inj__ty_2Einteger_2Eint(V1y)),inj__ty_2Einteger_2Eint(V0x))) ) ).

tff(conj_thm_2EHolSmt_2Er116,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__lt,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y)))
    <=> ~ p(ap(ap(c_2Einteger_2Eint__ge,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y))) ) ).

tff(conj_thm_2EHolSmt_2Er117,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__lt,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y)))
    <=> ~ p(ap(ap(c_2Einteger_2Eint__le,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V0x)))),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er118,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__lt,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y)))
    <=> ~ p(ap(ap(c_2Einteger_2Eint__ge,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V1y)))),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er119,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__lt,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V2z)))))
    <=> ~ p(ap(ap(c_2Einteger_2Eint__ge,ap(ap(c_2Einteger_2Eint__add,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V1y)))),inj__ty_2Einteger_2Eint(V2z))),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er120,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__lt,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V2z)))))
    <=> ~ p(ap(ap(c_2Einteger_2Eint__ge,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__add,ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V1y))),inj__ty_2Einteger_2Eint(V2z)))),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er121,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__lt,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__add,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(V1y))),inj__ty_2Einteger_2Eint(V2z))))
    <=> ~ p(ap(ap(c_2Einteger_2Eint__le,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V2z)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V0x)))),inj__ty_2Einteger_2Eint(V1y))) ) ).

tff(conj_thm_2EHolSmt_2Er122,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint,V3u: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__lt,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__add,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(V1y))),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V2z)),inj__ty_2Einteger_2Eint(V3u)))))
    <=> ~ p(ap(ap(c_2Einteger_2Eint__le,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V2z)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V3u)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V0x))))),inj__ty_2Einteger_2Eint(V1y))) ) ).

tff(conj_thm_2EHolSmt_2Er123,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint,V3u: tp__ty_2Einteger_2Eint,V4v: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__lt,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__add,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(V1y))),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V2z)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V3u)),inj__ty_2Einteger_2Eint(V4v))))))
    <=> ~ p(ap(ap(c_2Einteger_2Eint__le,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V2z)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V3u)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V4v)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V0x)))))),inj__ty_2Einteger_2Eint(V1y))) ) ).

tff(conj_thm_2EHolSmt_2Er124,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__lt,ap(ap(c_2Einteger_2Eint__add,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(V0x))),inj__ty_2Einteger_2Eint(V1y))),inj__ty_2Einteger_2Eint(V2z)))
    <=> ~ p(ap(ap(c_2Einteger_2Eint__ge,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V2z)))),inj__ty_2Einteger_2Eint(V0x))) ) ).

tff(conj_thm_2EHolSmt_2Er125,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__lt,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y))),inj__ty_2Einteger_2Eint(V2z)))
    <=> ~ p(ap(ap(c_2Einteger_2Eint__le,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V2z)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V1y)))),inj__ty_2Einteger_2Eint(V0x))) ) ).

tff(conj_thm_2EHolSmt_2Er126,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),ap(ap(c_2Einteger_2Eint__add,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(V0x))),inj__ty_2Einteger_2Eint(V1y))))
    <=> ~ p(ap(ap(c_2Einteger_2Eint__le,inj__ty_2Einteger_2Eint(V1y)),inj__ty_2Einteger_2Eint(V0x))) ) ).

tff(conj_thm_2EHolSmt_2Er127,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(V0x)),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) = V0x ) ).

tff(conj_thm_2EHolSmt_2Er128,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__sub,ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),inj__ty_2Einteger_2Eint(V0x))) = surj__ty_2Einteger_2Eint(ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(V0x))) ) ).

tff(conj_thm_2EHolSmt_2Er129,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__sub,ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),inj__ty_2Einteger_2Eint(V0x))) = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V0x))) ) ).

tff(conj_thm_2EHolSmt_2Er130,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y))) = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(V1y))),inj__ty_2Einteger_2Eint(V0x))) ) ).

tff(conj_thm_2EHolSmt_2Er131,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y))) = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V1y)))) ) ).

tff(conj_thm_2EHolSmt_2Er132,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y))) = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V1y))),inj__ty_2Einteger_2Eint(V0x))) ) ).

tff(conj_thm_2EHolSmt_2Er133,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(V0x)),ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))) = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V0x))) ) ).

tff(conj_thm_2EHolSmt_2Er134,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__sub,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y))),inj__ty_2Einteger_2Eint(V2z))) = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V1y)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V2z))))) ) ).

tff(conj_thm_2EHolSmt_2Er135,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint,V2z: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__sub,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y))),inj__ty_2Einteger_2Eint(V2z))) = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__add,ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V2z))),inj__ty_2Einteger_2Eint(V1y)))) ) ).

tff(conj_thm_2EHolSmt_2Er136,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal] :
      ( ( surj__ty_2Erealax_2Ereal(ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))) )
    <=> ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))) = surj__ty_2Erealax_2Ereal(ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ) ).

tff(conj_thm_2EHolSmt_2Er137,axiom,
    ! [V0a: tp__ty_2Erealax_2Ereal,V1u: tp__ty_2Erealax_2Ereal,V2x: tp__ty_2Erealax_2Ereal] :
      ( ( V0a = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1u))),inj__ty_2Erealax_2Ereal(V2x))) )
    <=> ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1u)),inj__ty_2Erealax_2Ereal(V2x))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0a))) ) ) ).

tff(conj_thm_2EHolSmt_2Er138,axiom,
    ! [V0a: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2y: tp__ty_2Erealax_2Ereal,V3z: tp__ty_2Erealax_2Ereal] :
      ( ( V0a = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V1x)),ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V2y)),inj__ty_2Erealax_2Ereal(V3z)))) )
    <=> ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V1x)),ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V2y)),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V0a))),inj__ty_2Erealax_2Ereal(V3z))))) = surj__ty_2Erealax_2Ereal(ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ) ).

tff(conj_thm_2EHolSmt_2Er139,axiom,
    ! [V0a: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2y: tp__ty_2Erealax_2Ereal,V3z: tp__ty_2Erealax_2Ereal] :
      ( ( V0a = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V1x)),ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V2y)),inj__ty_2Erealax_2Ereal(V3z)))) )
    <=> ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V1x)),ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V2y)),ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V3z)),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V0a)))))) = surj__ty_2Erealax_2Ereal(ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ) ).

tff(conj_thm_2EHolSmt_2Er140,axiom,
    ! [V0a: tp__ty_2Erealax_2Ereal,V1u: tp__ty_2Erealax_2Ereal,V2y: tp__ty_2Erealax_2Ereal,V3v: tp__ty_2Erealax_2Ereal,V4z: tp__ty_2Erealax_2Ereal] :
      ( ( V0a = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1u))),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V3v)),inj__ty_2Erealax_2Ereal(V4z)))) )
    <=> ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1u)),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V3v))),inj__ty_2Erealax_2Ereal(V4z))),inj__ty_2Erealax_2Ereal(V0a)))) = surj__ty_2Erealax_2Ereal(ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ) ).

tff(conj_thm_2EHolSmt_2Er141,axiom,
    ! [V0a: tp__ty_2Erealax_2Ereal,V1u: tp__ty_2Erealax_2Ereal,V2y: tp__ty_2Erealax_2Ereal,V3v: tp__ty_2Erealax_2Ereal,V4z: tp__ty_2Erealax_2Ereal] :
      ( ( V0a = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1u))),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V3v))),inj__ty_2Erealax_2Ereal(V4z)))) )
    <=> ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1u)),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0a)),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V3v)),inj__ty_2Erealax_2Ereal(V4z))))) = surj__ty_2Erealax_2Ereal(ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ) ).

tff(conj_thm_2EHolSmt_2Er142,axiom,
    ! [V0a: tp__ty_2Erealax_2Ereal,V1u: tp__ty_2Erealax_2Ereal,V2x: tp__ty_2Erealax_2Ereal,V3v: tp__ty_2Erealax_2Ereal,V4y: tp__ty_2Erealax_2Ereal] :
      ( ( surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0a))) = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1u))),inj__ty_2Erealax_2Ereal(V2x))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V3v)),inj__ty_2Erealax_2Ereal(V4y)))) )
    <=> ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1u)),inj__ty_2Erealax_2Ereal(V2x))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V3v))),inj__ty_2Erealax_2Ereal(V4y)))) = V0a ) ) ).

tff(conj_thm_2EHolSmt_2Er143,axiom,
    ! [V0a: tp__ty_2Erealax_2Ereal,V1u: tp__ty_2Erealax_2Ereal,V2x: tp__ty_2Erealax_2Ereal,V3v: tp__ty_2Erealax_2Ereal,V4y: tp__ty_2Erealax_2Ereal,V5w: tp__ty_2Erealax_2Ereal,V6z: tp__ty_2Erealax_2Ereal] :
      ( ( V0a = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1u))),inj__ty_2Erealax_2Ereal(V2x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V3v))),inj__ty_2Erealax_2Ereal(V4y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V5w)),inj__ty_2Erealax_2Ereal(V6z))))) )
    <=> ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1u)),inj__ty_2Erealax_2Ereal(V2x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V3v)),inj__ty_2Erealax_2Ereal(V4y))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V5w))),inj__ty_2Erealax_2Ereal(V6z))),inj__ty_2Erealax_2Ereal(V0a))))) = surj__ty_2Erealax_2Ereal(ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ) ).

tff(conj_thm_2EHolSmt_2Er144,axiom,
    ! [V0a: tp__ty_2Erealax_2Ereal,V1u: tp__ty_2Erealax_2Ereal,V2x: tp__ty_2Erealax_2Ereal,V3v: tp__ty_2Erealax_2Ereal,V4y: tp__ty_2Erealax_2Ereal,V5w: tp__ty_2Erealax_2Ereal,V6z: tp__ty_2Erealax_2Ereal] :
      ( ( V0a = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1u))),inj__ty_2Erealax_2Ereal(V2x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V3v)),inj__ty_2Erealax_2Ereal(V4y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V5w)),inj__ty_2Erealax_2Ereal(V6z))))) )
    <=> ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1u)),inj__ty_2Erealax_2Ereal(V2x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V3v))),inj__ty_2Erealax_2Ereal(V4y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V5w))),inj__ty_2Erealax_2Ereal(V6z))))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0a))) ) ) ).

tff(conj_thm_2EHolSmt_2Er145,axiom,
    ! [V0a: tp__ty_2Erealax_2Ereal,V1u: tp__ty_2Erealax_2Ereal,V2x: tp__ty_2Erealax_2Ereal,V3v: tp__ty_2Erealax_2Ereal,V4y: tp__ty_2Erealax_2Ereal,V5w: tp__ty_2Erealax_2Ereal,V6z: tp__ty_2Erealax_2Ereal] :
      ( ( V0a = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1u))),inj__ty_2Erealax_2Ereal(V2x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V3v)),inj__ty_2Erealax_2Ereal(V4y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V5w))),inj__ty_2Erealax_2Ereal(V6z))))) )
    <=> ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1u)),inj__ty_2Erealax_2Ereal(V2x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V3v))),inj__ty_2Erealax_2Ereal(V4y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V5w)),inj__ty_2Erealax_2Ereal(V6z))))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0a))) ) ) ).

tff(conj_thm_2EHolSmt_2Er146,axiom,
    ! [V0a: tp__ty_2Erealax_2Ereal,V1u: tp__ty_2Erealax_2Ereal,V2x: tp__ty_2Erealax_2Ereal,V3v: tp__ty_2Erealax_2Ereal,V4y: tp__ty_2Erealax_2Ereal,V5w: tp__ty_2Erealax_2Ereal,V6z: tp__ty_2Erealax_2Ereal] :
      ( ( V0a = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1u))),inj__ty_2Erealax_2Ereal(V2x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V3v))),inj__ty_2Erealax_2Ereal(V4y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V5w)),inj__ty_2Erealax_2Ereal(V6z))))) )
    <=> ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1u)),inj__ty_2Erealax_2Ereal(V2x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V3v)),inj__ty_2Erealax_2Ereal(V4y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V5w))),inj__ty_2Erealax_2Ereal(V6z))))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0a))) ) ) ).

tff(conj_thm_2EHolSmt_2Er147,axiom,
    ! [V0a: tp__ty_2Erealax_2Ereal,V1u: tp__ty_2Erealax_2Ereal,V2x: tp__ty_2Erealax_2Ereal,V3v: tp__ty_2Erealax_2Ereal,V4y: tp__ty_2Erealax_2Ereal,V5w: tp__ty_2Erealax_2Ereal,V6z: tp__ty_2Erealax_2Ereal] :
      ( ( V0a = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1u))),inj__ty_2Erealax_2Ereal(V2x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V3v))),inj__ty_2Erealax_2Ereal(V4y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V5w))),inj__ty_2Erealax_2Ereal(V6z))))) )
    <=> ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1u)),inj__ty_2Erealax_2Ereal(V2x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V3v)),inj__ty_2Erealax_2Ereal(V4y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V5w)),inj__ty_2Erealax_2Ereal(V6z))))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0a))) ) ) ).

tff(conj_thm_2EHolSmt_2Er148,axiom,
    ! [V0a: tp__ty_2Erealax_2Ereal,V1u: tp__ty_2Erealax_2Ereal,V2x: tp__ty_2Erealax_2Ereal,V3v: tp__ty_2Erealax_2Ereal,V4y: tp__ty_2Erealax_2Ereal,V5w: tp__ty_2Erealax_2Ereal,V6z: tp__ty_2Erealax_2Ereal] :
      ( ( surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0a))) = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1u))),inj__ty_2Erealax_2Ereal(V2x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V3v)),inj__ty_2Erealax_2Ereal(V4y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V5w)),inj__ty_2Erealax_2Ereal(V6z))))) )
    <=> ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1u)),inj__ty_2Erealax_2Ereal(V2x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V3v))),inj__ty_2Erealax_2Ereal(V4y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V5w))),inj__ty_2Erealax_2Ereal(V6z))))) = V0a ) ) ).

tff(conj_thm_2EHolSmt_2Er149,axiom,
    ! [V0a: tp__ty_2Erealax_2Ereal,V1u: tp__ty_2Erealax_2Ereal,V2x: tp__ty_2Erealax_2Ereal,V3v: tp__ty_2Erealax_2Ereal,V4y: tp__ty_2Erealax_2Ereal,V5w: tp__ty_2Erealax_2Ereal,V6z: tp__ty_2Erealax_2Ereal] :
      ( ( surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0a))) = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1u))),inj__ty_2Erealax_2Ereal(V2x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V3v)),inj__ty_2Erealax_2Ereal(V4y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V5w))),inj__ty_2Erealax_2Ereal(V6z))))) )
    <=> ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1u)),inj__ty_2Erealax_2Ereal(V2x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V3v))),inj__ty_2Erealax_2Ereal(V4y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V5w)),inj__ty_2Erealax_2Ereal(V6z))))) = V0a ) ) ).

tff(conj_thm_2EHolSmt_2Er150,axiom,
    ! [V0a: tp__ty_2Erealax_2Ereal,V1u: tp__ty_2Erealax_2Ereal,V2x: tp__ty_2Erealax_2Ereal,V3v: tp__ty_2Erealax_2Ereal,V4y: tp__ty_2Erealax_2Ereal,V5w: tp__ty_2Erealax_2Ereal,V6z: tp__ty_2Erealax_2Ereal] :
      ( ( surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0a))) = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1u))),inj__ty_2Erealax_2Ereal(V2x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V3v))),inj__ty_2Erealax_2Ereal(V4y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V5w)),inj__ty_2Erealax_2Ereal(V6z))))) )
    <=> ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1u)),inj__ty_2Erealax_2Ereal(V2x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V3v)),inj__ty_2Erealax_2Ereal(V4y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V5w))),inj__ty_2Erealax_2Ereal(V6z))))) = V0a ) ) ).

tff(conj_thm_2EHolSmt_2Er151,axiom,
    ! [V0a: tp__ty_2Erealax_2Ereal,V1u: tp__ty_2Erealax_2Ereal,V2x: tp__ty_2Erealax_2Ereal,V3v: tp__ty_2Erealax_2Ereal,V4y: tp__ty_2Erealax_2Ereal,V5w: tp__ty_2Erealax_2Ereal,V6z: tp__ty_2Erealax_2Ereal] :
      ( ( surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0a))) = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1u))),inj__ty_2Erealax_2Ereal(V2x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V3v))),inj__ty_2Erealax_2Ereal(V4y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V5w))),inj__ty_2Erealax_2Ereal(V6z))))) )
    <=> ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1u)),inj__ty_2Erealax_2Ereal(V2x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V3v)),inj__ty_2Erealax_2Ereal(V4y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V5w)),inj__ty_2Erealax_2Ereal(V6z))))) = V0a ) ) ).

tff(conj_thm_2EHolSmt_2Er152,axiom,
    ! [V0a: tp__ty_2Erealax_2Ereal,V1u: tp__ty_2Erealax_2Ereal,V2x: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal] :
      ( ( V0a = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1u))),inj__ty_2Erealax_2Ereal(V2x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))) )
    <=> ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1u)),inj__ty_2Erealax_2Ereal(V2x))),ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V3y)),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0a))) ) ) ).

tff(conj_thm_2EHolSmt_2Er153,axiom,
    ! [V0a: tp__ty_2Erealax_2Ereal,V1u: tp__ty_2Erealax_2Ereal,V2x: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal] :
      ( ( V0a = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1u))),inj__ty_2Erealax_2Ereal(V2x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))) )
    <=> ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1u)),inj__ty_2Erealax_2Ereal(V2x))),ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V3y)),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0a))) ) ) ).

tff(conj_thm_2EHolSmt_2Er154,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4a: tp__ty_2Erealax_2Ereal] :
      ( ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y)))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4a))) )
    <=> ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y)))) = V4a ) ) ).

tff(conj_thm_2EHolSmt_2Er155,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1v: tp__ty_2Erealax_2Ereal,V2y: tp__ty_2Erealax_2Ereal,V3w: tp__ty_2Erealax_2Ereal,V4z: tp__ty_2Erealax_2Ereal,V5a: tp__ty_2Erealax_2Ereal] :
      ( ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V0x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1v))),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V3w))),inj__ty_2Erealax_2Ereal(V4z))))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V5a))) )
    <=> ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1v)),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V3w)),inj__ty_2Erealax_2Ereal(V4z))))) = V5a ) ) ).

tff(conj_thm_2EHolSmt_2Er156,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal,V6a: tp__ty_2Erealax_2Ereal] :
      ( ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V6a))) )
    <=> ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))) = V6a ) ) ).

tff(conj_thm_2EHolSmt_2Er157,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal,V6a: tp__ty_2Erealax_2Ereal] :
      ( ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V6a))) )
    <=> ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))) = V6a ) ) ).

tff(conj_thm_2EHolSmt_2Er158,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal,V6a: tp__ty_2Erealax_2Ereal] :
      ( ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V6a))) )
    <=> ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))) = V6a ) ) ).

tff(conj_thm_2EHolSmt_2Er159,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1y: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__ge,ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V1y)))),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))))
    <=> p(ap(ap(c_2Ereal_2Ereal__lte,inj__ty_2Erealax_2Ereal(V1y)),inj__ty_2Erealax_2Ereal(V0x))) ) ).

tff(conj_thm_2EHolSmt_2Er160,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1y: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__ge,inj__ty_2Erealax_2Ereal(V0x)),inj__ty_2Erealax_2Ereal(V1y)))
    <=> p(ap(ap(c_2Ereal_2Ereal__ge,ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V1y)))),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er161,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1y: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__gt,inj__ty_2Erealax_2Ereal(V0x)),inj__ty_2Erealax_2Ereal(V1y)))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V1y)))),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er162,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1y: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__lte,inj__ty_2Erealax_2Ereal(V0x)),inj__ty_2Erealax_2Ereal(V1y)))
    <=> p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V1y)))),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er163,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1y: tp__ty_2Erealax_2Ereal,V2z: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__lte,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V1y)),inj__ty_2Erealax_2Ereal(V2z))))
    <=> p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V2z)))),inj__ty_2Erealax_2Ereal(V1y))) ) ).

tff(conj_thm_2EHolSmt_2Er164,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),inj__ty_2Erealax_2Ereal(V2a)))
    <=> p(ap(ap(c_2Ereal_2Ereal__ge,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2a)))) ) ).

tff(conj_thm_2EHolSmt_2Er165,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2a))))
    <=> p(ap(ap(c_2Ereal_2Ereal__ge,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),inj__ty_2Erealax_2Ereal(V2a))) ) ).

tff(conj_thm_2EHolSmt_2Er166,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y)))),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))))
    <=> p(ap(ap(c_2Ereal_2Ereal__ge,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y)))),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er167,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y)))),inj__ty_2Erealax_2Ereal(V4a)))
    <=> p(ap(ap(c_2Ereal_2Ereal__ge,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y)))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4a)))) ) ).

tff(conj_thm_2EHolSmt_2Er168,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y)))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4a))))
    <=> p(ap(ap(c_2Ereal_2Ereal__ge,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y)))),inj__ty_2Erealax_2Ereal(V4a))) ) ).

tff(conj_thm_2EHolSmt_2Er169,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y)))),inj__ty_2Erealax_2Ereal(V4a)))
    <=> p(ap(ap(c_2Ereal_2Ereal__ge,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y)))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4a)))) ) ).

tff(conj_thm_2EHolSmt_2Er170,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y)))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4a))))
    <=> p(ap(ap(c_2Ereal_2Ereal__ge,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y)))),inj__ty_2Erealax_2Ereal(V4a))) ) ).

tff(conj_thm_2EHolSmt_2Er171,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))))
    <=> p(ap(ap(c_2Ereal_2Ereal__ge,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er172,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))))
    <=> p(ap(ap(c_2Ereal_2Ereal__ge,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er173,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))))
    <=> p(ap(ap(c_2Ereal_2Ereal__ge,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er174,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))))
    <=> p(ap(ap(c_2Ereal_2Ereal__ge,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er175,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal,V6a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))),inj__ty_2Erealax_2Ereal(V6a)))
    <=> p(ap(ap(c_2Ereal_2Ereal__ge,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V6a)))) ) ).

tff(conj_thm_2EHolSmt_2Er176,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal,V6a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V6a))))
    <=> p(ap(ap(c_2Ereal_2Ereal__ge,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))),inj__ty_2Erealax_2Ereal(V6a))) ) ).

tff(conj_thm_2EHolSmt_2Er177,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal,V6a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))),inj__ty_2Erealax_2Ereal(V6a)))
    <=> p(ap(ap(c_2Ereal_2Ereal__ge,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V6a)))) ) ).

tff(conj_thm_2EHolSmt_2Er178,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal,V6a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V6a))))
    <=> p(ap(ap(c_2Ereal_2Ereal__ge,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))),inj__ty_2Erealax_2Ereal(V6a))) ) ).

tff(conj_thm_2EHolSmt_2Er179,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal,V6a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))),inj__ty_2Erealax_2Ereal(V6a)))
    <=> p(ap(ap(c_2Ereal_2Ereal__ge,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V6a)))) ) ).

tff(conj_thm_2EHolSmt_2Er180,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal,V6a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V6a))))
    <=> p(ap(ap(c_2Ereal_2Ereal__ge,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))),inj__ty_2Erealax_2Ereal(V6a))) ) ).

tff(conj_thm_2EHolSmt_2Er181,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal,V6a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))),inj__ty_2Erealax_2Ereal(V6a)))
    <=> p(ap(ap(c_2Ereal_2Ereal__ge,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V6a)))) ) ).

tff(conj_thm_2EHolSmt_2Er182,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal,V6a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V6a))))
    <=> p(ap(ap(c_2Ereal_2Ereal__ge,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))),inj__ty_2Erealax_2Ereal(V6a))) ) ).

tff(conj_thm_2EHolSmt_2Er183,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1v: tp__ty_2Erealax_2Ereal,V2y: tp__ty_2Erealax_2Ereal,V3w: tp__ty_2Erealax_2Ereal,V4z: tp__ty_2Erealax_2Ereal,V5a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V0x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1v)),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V3w)),inj__ty_2Erealax_2Ereal(V4z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V5a))))
    <=> p(ap(ap(c_2Ereal_2Ereal__ge,ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1v))),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V3w))),inj__ty_2Erealax_2Ereal(V4z))))),inj__ty_2Erealax_2Ereal(V5a))) ) ).

tff(conj_thm_2EHolSmt_2Er184,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1y: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,inj__ty_2Erealax_2Ereal(V0x)),inj__ty_2Erealax_2Ereal(V1y)))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__ge,inj__ty_2Erealax_2Ereal(V0x)),inj__ty_2Erealax_2Ereal(V1y))) ) ).

tff(conj_thm_2EHolSmt_2Er185,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),inj__ty_2Erealax_2Ereal(V2a)))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2a)))) ) ).

tff(conj_thm_2EHolSmt_2Er186,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2a))))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),inj__ty_2Erealax_2Ereal(V2a))) ) ).

tff(conj_thm_2EHolSmt_2Er187,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y)))),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y)))),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er188,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y)))),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y)))),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er189,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y)))),inj__ty_2Erealax_2Ereal(V4a)))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y)))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4a)))) ) ).

tff(conj_thm_2EHolSmt_2Er190,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y)))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4a))))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y)))),inj__ty_2Erealax_2Ereal(V4a))) ) ).

tff(conj_thm_2EHolSmt_2Er191,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y)))),inj__ty_2Erealax_2Ereal(V4a)))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y)))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4a)))) ) ).

tff(conj_thm_2EHolSmt_2Er192,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y)))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4a))))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y)))),inj__ty_2Erealax_2Ereal(V4a))) ) ).

tff(conj_thm_2EHolSmt_2Er193,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal,V6a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))),inj__ty_2Erealax_2Ereal(V6a)))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V6a)))) ) ).

tff(conj_thm_2EHolSmt_2Er194,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal,V6a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V6a))))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))),inj__ty_2Erealax_2Ereal(V6a))) ) ).

tff(conj_thm_2EHolSmt_2Er195,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal,V6a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))),inj__ty_2Erealax_2Ereal(V6a)))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V6a)))) ) ).

tff(conj_thm_2EHolSmt_2Er196,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal,V6a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V6a))))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))),inj__ty_2Erealax_2Ereal(V6a))) ) ).

tff(conj_thm_2EHolSmt_2Er197,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal,V6a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))),inj__ty_2Erealax_2Ereal(V6a)))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V6a)))) ) ).

tff(conj_thm_2EHolSmt_2Er198,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal,V6a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V6a))))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))),inj__ty_2Erealax_2Ereal(V6a))) ) ).

tff(conj_thm_2EHolSmt_2Er199,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal,V6a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))),inj__ty_2Erealax_2Ereal(V6a)))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V6a)))) ) ).

tff(conj_thm_2EHolSmt_2Er200,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal,V6a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V6a))))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))),inj__ty_2Erealax_2Ereal(V6a))) ) ).

tff(conj_thm_2EHolSmt_2Er201,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er202,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4w: tp__ty_2Erealax_2Ereal,V5z: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V4w))),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V4w)),inj__ty_2Erealax_2Ereal(V5z))))),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Er203,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1v: tp__ty_2Erealax_2Ereal,V2y: tp__ty_2Erealax_2Ereal,V3w: tp__ty_2Erealax_2Ereal,V4z: tp__ty_2Erealax_2Ereal,V5a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V0x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1v)),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V3w)),inj__ty_2Erealax_2Ereal(V4z))))),inj__ty_2Erealax_2Ereal(V5a)))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1v))),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V3w))),inj__ty_2Erealax_2Ereal(V4z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V5a)))) ) ).

tff(conj_thm_2EHolSmt_2Er204,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1v: tp__ty_2Erealax_2Ereal,V2y: tp__ty_2Erealax_2Ereal,V3w: tp__ty_2Erealax_2Ereal,V4z: tp__ty_2Erealax_2Ereal,V5a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V0x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1v)),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V3w)),inj__ty_2Erealax_2Ereal(V4z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V5a))))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1v))),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V3w))),inj__ty_2Erealax_2Ereal(V4z))))),inj__ty_2Erealax_2Ereal(V5a))) ) ).

tff(conj_thm_2EHolSmt_2Er205,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1v: tp__ty_2Erealax_2Ereal,V2y: tp__ty_2Erealax_2Ereal,V3w: tp__ty_2Erealax_2Ereal,V4z: tp__ty_2Erealax_2Ereal,V5a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V0x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1v)),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V3w))),inj__ty_2Erealax_2Ereal(V4z))))),inj__ty_2Erealax_2Ereal(V5a)))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1v))),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V3w)),inj__ty_2Erealax_2Ereal(V4z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V5a)))) ) ).

tff(conj_thm_2EHolSmt_2Er206,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1v: tp__ty_2Erealax_2Ereal,V2y: tp__ty_2Erealax_2Ereal,V3w: tp__ty_2Erealax_2Ereal,V4z: tp__ty_2Erealax_2Ereal,V5a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V0x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1v)),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V3w))),inj__ty_2Erealax_2Ereal(V4z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V5a))))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1v))),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V3w)),inj__ty_2Erealax_2Ereal(V4z))))),inj__ty_2Erealax_2Ereal(V5a))) ) ).

tff(conj_thm_2EHolSmt_2Er207,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1v: tp__ty_2Erealax_2Ereal,V2y: tp__ty_2Erealax_2Ereal,V3w: tp__ty_2Erealax_2Ereal,V4z: tp__ty_2Erealax_2Ereal,V5a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V0x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1v))),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V3w)),inj__ty_2Erealax_2Ereal(V4z))))),inj__ty_2Erealax_2Ereal(V5a)))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1v)),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V3w))),inj__ty_2Erealax_2Ereal(V4z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V5a)))) ) ).

tff(conj_thm_2EHolSmt_2Er208,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1v: tp__ty_2Erealax_2Ereal,V2y: tp__ty_2Erealax_2Ereal,V3w: tp__ty_2Erealax_2Ereal,V4z: tp__ty_2Erealax_2Ereal,V5a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V0x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1v))),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V3w)),inj__ty_2Erealax_2Ereal(V4z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V5a))))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1v)),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V3w))),inj__ty_2Erealax_2Ereal(V4z))))),inj__ty_2Erealax_2Ereal(V5a))) ) ).

tff(conj_thm_2EHolSmt_2Er209,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1v: tp__ty_2Erealax_2Ereal,V2y: tp__ty_2Erealax_2Ereal,V3w: tp__ty_2Erealax_2Ereal,V4z: tp__ty_2Erealax_2Ereal,V5a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V0x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1v))),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V3w))),inj__ty_2Erealax_2Ereal(V4z))))),inj__ty_2Erealax_2Ereal(V5a)))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1v)),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V3w)),inj__ty_2Erealax_2Ereal(V4z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V5a)))) ) ).

tff(conj_thm_2EHolSmt_2Er210,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1v: tp__ty_2Erealax_2Ereal,V2y: tp__ty_2Erealax_2Ereal,V3w: tp__ty_2Erealax_2Ereal,V4z: tp__ty_2Erealax_2Ereal,V5a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V0x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1v))),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V3w))),inj__ty_2Erealax_2Ereal(V4z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V5a))))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1v)),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V3w)),inj__ty_2Erealax_2Ereal(V4z))))),inj__ty_2Erealax_2Ereal(V5a))) ) ).

tff(conj_thm_2EHolSmt_2Er211,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2y: tp__ty_2Erealax_2Ereal,V3w: tp__ty_2Erealax_2Ereal,V4z: tp__ty_2Erealax_2Ereal,V5a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V2y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V3w))),inj__ty_2Erealax_2Ereal(V4z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V5a))))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V2y)),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V3w)),inj__ty_2Erealax_2Ereal(V4z))))),inj__ty_2Erealax_2Ereal(V5a))) ) ).

tff(conj_thm_2EHolSmt_2Er212,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal,V2v: tp__ty_2Erealax_2Ereal,V3y: tp__ty_2Erealax_2Ereal,V4z: tp__ty_2Erealax_2Ereal,V5a: tp__ty_2Erealax_2Ereal] :
      ( p(ap(ap(c_2Erealax_2Ereal__lt,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2v)),inj__ty_2Erealax_2Ereal(V3y))),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V4z))))),ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V5a))))
    <=> ~ p(ap(ap(c_2Ereal_2Ereal__lte,ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x))),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2v))),inj__ty_2Erealax_2Ereal(V3y))),inj__ty_2Erealax_2Ereal(V4z)))),inj__ty_2Erealax_2Ereal(V5a))) ) ).

tff(conj_thm_2EHolSmt_2Er213,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal] : ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),inj__ty_2Erealax_2Ereal(V0x))) = V0x ) ).

tff(conj_thm_2EHolSmt_2Er214,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal] : ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) = V0x ) ).

tff(conj_thm_2EHolSmt_2Er215,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1y: tp__ty_2Erealax_2Ereal] : ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),inj__ty_2Erealax_2Ereal(V1y))) = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V1y)),inj__ty_2Erealax_2Ereal(V0x))) ) ).

tff(conj_thm_2EHolSmt_2Er216,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal] : ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),inj__ty_2Erealax_2Ereal(V0x))) = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))),inj__ty_2Erealax_2Ereal(V0x))) ) ).

tff(conj_thm_2EHolSmt_2Er217,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1y: tp__ty_2Erealax_2Ereal,V2z: tp__ty_2Erealax_2Ereal] : ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),inj__ty_2Erealax_2Ereal(V1y))),inj__ty_2Erealax_2Ereal(V2z))) = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V1y)),inj__ty_2Erealax_2Ereal(V2z)))) ) ).

tff(conj_thm_2EHolSmt_2Er218,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1y: tp__ty_2Erealax_2Ereal,V2z: tp__ty_2Erealax_2Ereal] : ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),inj__ty_2Erealax_2Ereal(V1y))),inj__ty_2Erealax_2Ereal(V2z))) = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V2z)),inj__ty_2Erealax_2Ereal(V1y)))) ) ).

tff(conj_thm_2EHolSmt_2Er219,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1y: tp__ty_2Erealax_2Ereal,V2z: tp__ty_2Erealax_2Ereal] : ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V1y)),inj__ty_2Erealax_2Ereal(V2z)))) = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V1y)),ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V2z)),inj__ty_2Erealax_2Ereal(V0x)))) ) ).

tff(conj_thm_2EHolSmt_2Er220,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1y: tp__ty_2Erealax_2Ereal,V2z: tp__ty_2Erealax_2Ereal] : ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V1y)),inj__ty_2Erealax_2Ereal(V2z)))) = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V1y)),ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),inj__ty_2Erealax_2Ereal(V2z)))) ) ).

tff(conj_thm_2EHolSmt_2Er221,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal] : ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Ereal_2Ereal__sub,ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),inj__ty_2Erealax_2Ereal(V0x))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0x))) ) ).

tff(conj_thm_2EHolSmt_2Er222,axiom,
    ! [V0u: tp__ty_2Erealax_2Ereal,V1x: tp__ty_2Erealax_2Ereal] : ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Ereal_2Ereal__sub,ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V0u)),inj__ty_2Erealax_2Ereal(V1x)))) = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V0u))),inj__ty_2Erealax_2Ereal(V1x))) ) ).

tff(conj_thm_2EHolSmt_2Er223,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal] : ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Ereal_2Ereal__sub,inj__ty_2Erealax_2Ereal(V0x)),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) = V0x ) ).

tff(conj_thm_2EHolSmt_2Er224,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1y: tp__ty_2Erealax_2Ereal] : ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Ereal_2Ereal__sub,inj__ty_2Erealax_2Ereal(V0x)),inj__ty_2Erealax_2Ereal(V1y))) = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V1y)))) ) ).

tff(conj_thm_2EHolSmt_2Er225,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1y: tp__ty_2Erealax_2Ereal] : ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Ereal_2Ereal__sub,inj__ty_2Erealax_2Ereal(V0x)),inj__ty_2Erealax_2Ereal(V1y))) = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V1y))),inj__ty_2Erealax_2Ereal(V0x))) ) ).

tff(conj_thm_2EHolSmt_2Er226,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1u: tp__ty_2Erealax_2Ereal,V2y: tp__ty_2Erealax_2Ereal] : ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Ereal_2Ereal__sub,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1u)),inj__ty_2Erealax_2Ereal(V2y)))) = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1u))),inj__ty_2Erealax_2Ereal(V2y)))) ) ).

tff(conj_thm_2EHolSmt_2Er227,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1u: tp__ty_2Erealax_2Ereal,V2y: tp__ty_2Erealax_2Ereal] : ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Ereal_2Ereal__sub,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V1u)),inj__ty_2Erealax_2Ereal(V2y)))) = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V1u))),inj__ty_2Erealax_2Ereal(V2y))),inj__ty_2Erealax_2Ereal(V0x))) ) ).

tff(conj_thm_2EHolSmt_2Er228,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1y: tp__ty_2Erealax_2Ereal,V2z: tp__ty_2Erealax_2Ereal] : ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Ereal_2Ereal__sub,ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),inj__ty_2Erealax_2Ereal(V1y))),inj__ty_2Erealax_2Ereal(V2z))) = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V1y)),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V2z))))) ) ).

tff(conj_thm_2EHolSmt_2Er229,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1y: tp__ty_2Erealax_2Ereal,V2z: tp__ty_2Erealax_2Ereal] : ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Ereal_2Ereal__sub,ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),inj__ty_2Erealax_2Ereal(V1y))),inj__ty_2Erealax_2Ereal(V2z))) = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V2z))),inj__ty_2Erealax_2Ereal(V1y)))) ) ).

tff(conj_thm_2EHolSmt_2Er230,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1y: tp__ty_2Erealax_2Ereal,V2u: tp__ty_2Erealax_2Ereal,V3z: tp__ty_2Erealax_2Ereal] : ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Ereal_2Ereal__sub,ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),inj__ty_2Erealax_2Ereal(V1y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2u)),inj__ty_2Erealax_2Ereal(V3z)))) = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2u))),inj__ty_2Erealax_2Ereal(V3z))),ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),inj__ty_2Erealax_2Ereal(V1y)))) ) ).

tff(conj_thm_2EHolSmt_2Er231,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1y: tp__ty_2Erealax_2Ereal,V2u: tp__ty_2Erealax_2Ereal,V3z: tp__ty_2Erealax_2Ereal] : ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Ereal_2Ereal__sub,ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),inj__ty_2Erealax_2Ereal(V1y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2u)),inj__ty_2Erealax_2Ereal(V3z)))) = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__add,ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2u))),inj__ty_2Erealax_2Ereal(V3z))),inj__ty_2Erealax_2Ereal(V1y)))) ) ).

tff(conj_thm_2EHolSmt_2Er232,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1y: tp__ty_2Erealax_2Ereal,V2u: tp__ty_2Erealax_2Ereal,V3z: tp__ty_2Erealax_2Ereal] : ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Ereal_2Ereal__sub,ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),inj__ty_2Erealax_2Ereal(V1y))),ap(ap(c_2Erealax_2Ereal__mul,inj__ty_2Erealax_2Ereal(V2u)),inj__ty_2Erealax_2Ereal(V3z)))) = surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V1y)),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(V2u))),inj__ty_2Erealax_2Ereal(V3z))))) ) ).

tff(conj_thm_2EHolSmt_2Er233,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal] : ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),inj__ty_2Erealax_2Ereal(V0x))) = surj__ty_2Erealax_2Ereal(ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ).

tff(conj_thm_2EHolSmt_2Er234,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal] : ( surj__ty_2Erealax_2Ereal(ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))),inj__ty_2Erealax_2Ereal(V0x))) = V0x ) ).

tff(conj_thm_2EHolSmt_2Er235,axiom,
    ! [A_27a: del,V0x: $i] :
      ( mem(V0x,ty_2Efcp_2Ecart(bool,A_27a))
     => ( ap(ap(c_2Ewords_2Eword__add(A_27a),ap(c_2Ewords_2En2w(A_27a),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),V0x) = V0x ) ) ).

tff(conj_thm_2EHolSmt_2Er236,axiom,
    ! [A_27a: del,V0x: $i] :
      ( mem(V0x,ty_2Efcp_2Ecart(bool,A_27a))
     => ! [V1y: $i] :
          ( mem(V1y,ty_2Efcp_2Ecart(bool,A_27a))
         => ( ap(ap(c_2Ewords_2Eword__add(A_27a),V0x),V1y) = ap(ap(c_2Ewords_2Eword__add(A_27a),V1y),V0x) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er237,axiom,
    ! [A_27a: del,V0x: $i] :
      ( mem(V0x,ty_2Efcp_2Ecart(bool,A_27a))
     => ( ap(ap(c_2Ewords_2Eword__add(A_27a),ap(c_2Ewords_2En2w(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),ap(c_2Ewords_2En2w(A_27a),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))),V0x)) = ap(ap(c_2Ewords_2Eword__add(A_27a),ap(c_2Ewords_2En2w(A_27a),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))),V0x) ) ) ).

tff(conj_thm_2EHolSmt_2Er238,axiom,
    ! [A_27a: del,V0x: $i] :
      ( mem(V0x,ty_2Efcp_2Ecart(bool,A_27a))
     => ! [V1z: $i] :
          ( mem(V1z,ty_2Efcp_2Ecart(bool,A_27a))
         => ! [V2y: $i] :
              ( mem(V2y,ty_2Efcp_2Ecart(bool,A_27a))
             => ( ( ap(ap(c_2Ewords_2Eword__add(A_27a),V0x),V1z) = ap(ap(c_2Ewords_2Eword__add(A_27a),V2y),V0x) )
              <=> ( V2y = V1z ) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er239,axiom,
    ! [A_27a: del,A_27b: del,A_27c: del,V0x: tp__ty_2Enum_2Enum] :
      ( p(ap(ap(c_2Eprim__rec_2E_3C,inj__ty_2Enum_2Enum(V0x)),ap(c_2Ewords_2Edimword(A_27b),c_2Ebool_2Ethe__value(A_27b))))
     => ( p(ap(c_2Epred__set_2EFINITE(A_27a),c_2Epred__set_2EUNIV(A_27a)))
       => ( ap(ap(c_2Ewords_2Eword__concat(A_27a,A_27b,A_27c),ap(c_2Ewords_2En2w(A_27a),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),ap(c_2Ewords_2En2w(A_27b),inj__ty_2Enum_2Enum(V0x))) = ap(c_2Ewords_2En2w(A_27c),inj__ty_2Enum_2Enum(V0x)) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er240,axiom,
    ! [A_27a: del,A_27b: del,V0x: tp__ty_2Enum_2Enum] :
      ( p(ap(ap(c_2Eprim__rec_2E_3C,inj__ty_2Enum_2Enum(V0x)),ap(c_2Ewords_2Edimword(A_27a),c_2Ebool_2Ethe__value(A_27a))))
     => ( ap(c_2Ewords_2Ew2w(A_27a,A_27b),ap(c_2Ewords_2En2w(A_27a),inj__ty_2Enum_2Enum(V0x))) = ap(c_2Ewords_2En2w(A_27b),inj__ty_2Enum_2Enum(V0x)) ) ) ).

tff(conj_thm_2EHolSmt_2Er241,axiom,
    ! [A_27a: del,A_27b: del,A_27c: del,V0y: tp__ty_2Enum_2Enum,V1x: $i] :
      ( mem(V1x,ty_2Efcp_2Ecart(bool,A_27b))
     => ( p(ap(ap(c_2Earithmetic_2E_3C_3D,ap(c_2Efcp_2Edimindex(A_27b),c_2Ebool_2Ethe__value(A_27b))),ap(c_2Efcp_2Edimindex(A_27c),c_2Ebool_2Ethe__value(A_27c))))
       => ( p(ap(ap(c_2Eprim__rec_2E_3C,inj__ty_2Enum_2Enum(V0y)),ap(c_2Ewords_2Edimword(A_27b),c_2Ebool_2Ethe__value(A_27b))))
         => ( p(ap(c_2Epred__set_2EFINITE(A_27a),c_2Epred__set_2EUNIV(A_27a)))
           => ( ( ap(ap(c_2Ewords_2Eword__concat(A_27a,A_27b,A_27c),ap(c_2Ewords_2En2w(A_27a),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),V1x) = ap(c_2Ewords_2En2w(A_27c),inj__ty_2Enum_2Enum(V0y)) )
            <=> ( V1x = ap(c_2Ewords_2En2w(A_27b),inj__ty_2Enum_2Enum(V0y)) ) ) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er242,axiom,
    ! [A_27a: del,A_27b: del,A_27c: del,V0y: tp__ty_2Enum_2Enum,V1x: $i] :
      ( mem(V1x,ty_2Efcp_2Ecart(bool,A_27b))
     => ( p(ap(ap(c_2Earithmetic_2E_3C_3D,ap(c_2Efcp_2Edimindex(A_27b),c_2Ebool_2Ethe__value(A_27b))),ap(c_2Efcp_2Edimindex(A_27c),c_2Ebool_2Ethe__value(A_27c))))
       => ( p(ap(ap(c_2Eprim__rec_2E_3C,inj__ty_2Enum_2Enum(V0y)),ap(c_2Ewords_2Edimword(A_27b),c_2Ebool_2Ethe__value(A_27b))))
         => ( p(ap(c_2Epred__set_2EFINITE(A_27a),c_2Epred__set_2EUNIV(A_27a)))
           => ( ( ap(ap(c_2Ewords_2Eword__concat(A_27a,A_27b,A_27c),ap(c_2Ewords_2En2w(A_27a),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),V1x) = ap(c_2Ewords_2En2w(A_27c),inj__ty_2Enum_2Enum(V0y)) )
            <=> ( ap(c_2Ewords_2En2w(A_27b),inj__ty_2Enum_2Enum(V0y)) = V1x ) ) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er243,axiom,
    ! [A_27a: del,A_27b: del,A_27c: del,V0y: tp__ty_2Enum_2Enum,V1x: $i] :
      ( mem(V1x,ty_2Efcp_2Ecart(bool,A_27b))
     => ( p(ap(ap(c_2Earithmetic_2E_3C_3D,ap(c_2Efcp_2Edimindex(A_27b),c_2Ebool_2Ethe__value(A_27b))),ap(c_2Efcp_2Edimindex(A_27c),c_2Ebool_2Ethe__value(A_27c))))
       => ( p(ap(ap(c_2Eprim__rec_2E_3C,inj__ty_2Enum_2Enum(V0y)),ap(c_2Ewords_2Edimword(A_27b),c_2Ebool_2Ethe__value(A_27b))))
         => ( p(ap(c_2Epred__set_2EFINITE(A_27a),c_2Epred__set_2EUNIV(A_27a)))
           => ( ( ap(c_2Ewords_2En2w(A_27c),inj__ty_2Enum_2Enum(V0y)) = ap(ap(c_2Ewords_2Eword__concat(A_27a,A_27b,A_27c),ap(c_2Ewords_2En2w(A_27a),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),V1x) )
            <=> ( V1x = ap(c_2Ewords_2En2w(A_27b),inj__ty_2Enum_2Enum(V0y)) ) ) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er244,axiom,
    ! [A_27a: del,A_27b: del,A_27c: del,V0y: tp__ty_2Enum_2Enum,V1x: $i] :
      ( mem(V1x,ty_2Efcp_2Ecart(bool,A_27b))
     => ( p(ap(ap(c_2Earithmetic_2E_3C_3D,ap(c_2Efcp_2Edimindex(A_27b),c_2Ebool_2Ethe__value(A_27b))),ap(c_2Efcp_2Edimindex(A_27c),c_2Ebool_2Ethe__value(A_27c))))
       => ( p(ap(ap(c_2Eprim__rec_2E_3C,inj__ty_2Enum_2Enum(V0y)),ap(c_2Ewords_2Edimword(A_27b),c_2Ebool_2Ethe__value(A_27b))))
         => ( p(ap(c_2Epred__set_2EFINITE(A_27a),c_2Epred__set_2EUNIV(A_27a)))
           => ( ( ap(c_2Ewords_2En2w(A_27c),inj__ty_2Enum_2Enum(V0y)) = ap(ap(c_2Ewords_2Eword__concat(A_27a,A_27b,A_27c),ap(c_2Ewords_2En2w(A_27a),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),V1x) )
            <=> ( ap(c_2Ewords_2En2w(A_27b),inj__ty_2Enum_2Enum(V0y)) = V1x ) ) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er245,axiom,
    ! [A_27a: del,V0x: $i] :
      ( mem(V0x,ty_2Efcp_2Ecart(bool,A_27a))
     => ! [V1y: $i] :
          ( mem(V1y,ty_2Efcp_2Ecart(bool,A_27a))
         => ( ap(ap(c_2Ewords_2Eword__and(A_27a),V0x),V1y) = ap(ap(c_2Ewords_2Eword__and(A_27a),V1y),V0x) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er246,axiom,
    ! [A_27a: del,V0x: $i] :
      ( mem(V0x,ty_2Efcp_2Ecart(bool,A_27a))
     => ! [V1y: $i] :
          ( mem(V1y,ty_2Efcp_2Ecart(bool,A_27a))
         => ! [V2z: $i] :
              ( mem(V2z,ty_2Efcp_2Ecart(bool,A_27a))
             => ( ap(ap(c_2Ewords_2Eword__and(A_27a),V0x),ap(ap(c_2Ewords_2Eword__and(A_27a),V1y),V2z)) = ap(ap(c_2Ewords_2Eword__and(A_27a),V1y),ap(ap(c_2Ewords_2Eword__and(A_27a),V0x),V2z)) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er247,axiom,
    ! [A_27a: del,V0x: $i] :
      ( mem(V0x,ty_2Efcp_2Ecart(bool,A_27a))
     => ! [V1y: $i] :
          ( mem(V1y,ty_2Efcp_2Ecart(bool,A_27a))
         => ! [V2z: $i] :
              ( mem(V2z,ty_2Efcp_2Ecart(bool,A_27a))
             => ( ap(ap(c_2Ewords_2Eword__and(A_27a),V0x),ap(ap(c_2Ewords_2Eword__and(A_27a),V1y),V2z)) = ap(ap(c_2Ewords_2Eword__and(A_27a),ap(ap(c_2Ewords_2Eword__and(A_27a),V0x),V1y)),V2z) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er248,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone,V1y: tp__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone] :
      ( ( surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(c_2Ewords_2En2w(ty_2Eone_2Eone),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))) = surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(ap(c_2Ewords_2Eword__and(ty_2Eone_2Eone),inj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(V0x)),inj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(V1y))) )
    <=> ( ( surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(c_2Ewords_2En2w(ty_2Eone_2Eone),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))) = V0x )
        & ( surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(c_2Ewords_2En2w(ty_2Eone_2Eone),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))) = V1y ) ) ) ).

tff(conj_thm_2EHolSmt_2Er249,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone,V1y: tp__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone] :
      ( ( surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(c_2Ewords_2En2w(ty_2Eone_2Eone),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))) = surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(ap(c_2Ewords_2Eword__and(ty_2Eone_2Eone),inj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(V0x)),inj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(V1y))) )
    <=> ( ( surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(c_2Ewords_2En2w(ty_2Eone_2Eone),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))) = V1y )
        & ( surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(c_2Ewords_2En2w(ty_2Eone_2Eone),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))) = V0x ) ) ) ).

tff(stp_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $i > tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : mem(inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))) ).

tff(stp_iso_mem_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))
     => ( X = inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) ) ) ).

tff(conj_thm_2EHolSmt_2Er250,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(ap(c_2Ewords_2Eword__extract(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x))) = V0x ) ).

tff(conj_thm_2EHolSmt_2Er251,axiom,
    ! [A_27a: del,V0x: $i] :
      ( mem(V0x,ty_2Efcp_2Ecart(bool,A_27a))
     => ! [V1y: $i] :
          ( mem(V1y,ty_2Efcp_2Ecart(bool,A_27a))
         => ( p(ap(ap(c_2Ewords_2Eword__lo(A_27a),V0x),V1y))
          <=> ~ p(ap(ap(c_2Ewords_2Eword__ls(A_27a),V1y),V0x)) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er252,axiom,
    ! [A_27a: del,V0x: $i] :
      ( mem(V0x,ty_2Efcp_2Ecart(bool,A_27a))
     => ! [V1y: $i] :
          ( mem(V1y,ty_2Efcp_2Ecart(bool,A_27a))
         => ( ap(ap(c_2Ewords_2Eword__mul(A_27a),V0x),V1y) = ap(ap(c_2Ewords_2Eword__mul(A_27a),V1y),V0x) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er253,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(ap(ap(c_2Ewords_2Eword__extract(ty_2Eone_2Eone,ty_2Eone_2Eone),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)),inj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(V0x))) = V0x ) ).

tff(conj_thm_2EHolSmt_2Er254,axiom,
    ! [A_27a: del,V0x: $i] :
      ( mem(V0x,ty_2Efcp_2Ecart(bool,A_27a))
     => ! [V1y: $i] :
          ( mem(V1y,ty_2Efcp_2Ecart(bool,A_27a))
         => ! [V2z: $i] :
              ( mem(V2z,ty_2Efcp_2Ecart(bool,A_27a))
             => ( ap(ap(c_2Ewords_2Eword__and(A_27a),ap(ap(c_2Ewords_2Eword__and(A_27a),V0x),V1y)),V2z) = ap(ap(c_2Ewords_2Eword__and(A_27a),V0x),ap(ap(c_2Ewords_2Eword__and(A_27a),V1y),V2z)) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Er255,axiom,
    ! [A_27a: del,V0x: $i] :
      ( mem(V0x,ty_2Efcp_2Ecart(bool,A_27a))
     => ( ap(ap(c_2Ewords_2Eword__or(A_27a),ap(c_2Ewords_2En2w(A_27a),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),V0x) = V0x ) ) ).

tff(conj_thm_2EHolSmt_2Et001,axiom,
    ! [A_27a: del,A_27b: del,V0x: $i] :
      ( mem(V0x,A_27a)
     => ! [V1y: $i] :
          ( mem(V1y,A_27a)
         => ! [V2f: $i] :
              ( mem(V2f,arr(A_27a,A_27b))
             => ! [V3z: $i] :
                  ( mem(V3z,A_27b)
                 => ( ( V0x = V1y )
                    | ( ap(V2f,V0x) = ap(ap(ap(ap(c_2Ecombin_2EUPDATE(A_27a,A_27b),V1y),V3z),V2f),V0x) ) ) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Et002,axiom,
    ! [A_27a: del,A_27b: del,V0x: $i] :
      ( mem(V0x,A_27a)
     => ! [V1y: $i] :
          ( mem(V1y,A_27a)
         => ! [V2f: $i] :
              ( mem(V2f,arr(A_27a,A_27b))
             => ! [V3z: $i] :
                  ( mem(V3z,A_27b)
                 => ( ( V0x = V1y )
                    | ( ap(V2f,V1y) = ap(ap(ap(ap(c_2Ecombin_2EUPDATE(A_27a,A_27b),V0x),V3z),V2f),V1y) ) ) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Et003,axiom,
    ! [A_27a: del,A_27b: del,V0x: $i] :
      ( mem(V0x,A_27a)
     => ! [V1y: $i] :
          ( mem(V1y,A_27a)
         => ! [V2z: $i] :
              ( mem(V2z,A_27b)
             => ! [V3f: $i] :
                  ( mem(V3f,arr(A_27a,A_27b))
                 => ( ( V0x = V1y )
                    | ( ap(ap(ap(ap(c_2Ecombin_2EUPDATE(A_27a,A_27b),V1y),V2z),V3f),V0x) = ap(V3f,V0x) ) ) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Et004,axiom,
    ! [A_27a: del,A_27b: del,V0x: $i] :
      ( mem(V0x,A_27a)
     => ! [V1y: $i] :
          ( mem(V1y,A_27a)
         => ! [V2z: $i] :
              ( mem(V2z,A_27b)
             => ! [V3f: $i] :
                  ( mem(V3f,arr(A_27a,A_27b))
                 => ( ( V0x = V1y )
                    | ( ap(ap(ap(ap(c_2Ecombin_2EUPDATE(A_27a,A_27b),V0x),V2z),V3f),V1y) = ap(V3f,V1y) ) ) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Et005,axiom,
    ! [A_27a: del,A_27b: del,V0f: $i] :
      ( mem(V0f,arr(A_27a,A_27b))
     => ! [V1g: $i] :
          ( mem(V1g,arr(A_27a,A_27b))
         => ( ( V0f = V1g )
            | ( ap(V0f,ap(ap(c_2EHolSmt_2Earray__ext(A_27a,A_27b),V0f),V1g)) != ap(V1g,ap(ap(c_2EHolSmt_2Earray__ext(A_27a,A_27b),V0f),V1g)) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Et006,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( ( V0x != V1y )
      | p(ap(ap(c_2Einteger_2Eint__le,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y))) ) ).

tff(conj_thm_2EHolSmt_2Et007,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( ( V0x != V1y )
      | p(ap(ap(c_2Einteger_2Eint__ge,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y))) ) ).

tff(conj_thm_2EHolSmt_2Et008,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( ( V0x != V1y )
      | p(ap(ap(c_2Einteger_2Eint__ge,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V1y)))),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Et009,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( ( V0x != V1y )
      | p(ap(ap(c_2Einteger_2Eint__le,ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(V0x)),ap(ap(c_2Einteger_2Eint__mul,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Einteger_2Eint(V1y)))),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Et010,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( ( V0x = V1y )
      | ~ p(ap(ap(c_2Einteger_2Eint__le,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y)))
      | ~ p(ap(ap(c_2Einteger_2Eint__ge,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y))) ) ).

tff(conj_thm_2EHolSmt_2Et011,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint] :
      ( ~ p(ap(ap(c_2Einteger_2Eint__le,inj__ty_2Einteger_2Eint(V0x)),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))))
      | p(ap(ap(c_2Einteger_2Eint__le,inj__ty_2Einteger_2Eint(V0x)),ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))) ) ).

tff(conj_thm_2EHolSmt_2Et012,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint] :
      ( ~ p(ap(ap(c_2Einteger_2Eint__le,inj__ty_2Einteger_2Eint(V0x)),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))))
      | p(ap(ap(c_2Einteger_2Eint__le,inj__ty_2Einteger_2Eint(V0x)),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Et013,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint] :
      ( ~ p(ap(ap(c_2Einteger_2Eint__ge,inj__ty_2Einteger_2Eint(V0x)),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))))
      | p(ap(ap(c_2Einteger_2Eint__ge,inj__ty_2Einteger_2Eint(V0x)),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))))) ) ).

tff(conj_thm_2EHolSmt_2Et014,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint] :
      ( ~ p(ap(ap(c_2Einteger_2Eint__ge,inj__ty_2Einteger_2Eint(V0x)),ap(c_2Einteger_2Eint__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))))
      | ~ p(ap(ap(c_2Einteger_2Eint__le,inj__ty_2Einteger_2Eint(V0x)),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))))) ) ).

tff(conj_thm_2EHolSmt_2Et015,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( p(ap(ap(c_2Einteger_2Eint__ge,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y)))
      | p(ap(ap(c_2Einteger_2Eint__le,inj__ty_2Einteger_2Eint(V0x)),inj__ty_2Einteger_2Eint(V1y))) ) ).

tff(conj_thm_2EHolSmt_2Et016,axiom,
    ! [V0x: tp__ty_2Erealax_2Ereal,V1y: tp__ty_2Erealax_2Ereal] :
      ( ( V0x != V1y )
      | p(ap(ap(c_2Ereal_2Ereal__ge,ap(ap(c_2Erealax_2Ereal__add,inj__ty_2Erealax_2Ereal(V0x)),ap(ap(c_2Erealax_2Ereal__mul,ap(c_2Erealax_2Ereal__neg,ap(c_2Ereal_2Ereal__of__num,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))),inj__ty_2Erealax_2Ereal(V1y)))),ap(c_2Ereal_2Ereal__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ).

tff(conj_thm_2EHolSmt_2Et017,axiom,
    ! [A_27a: del,V0x: $i] :
      ( mem(V0x,ty_2Efcp_2Ecart(bool,A_27a))
     => ( V0x != ap(c_2Ewords_2Eword__1comp(A_27a),V0x) ) ) ).

tff(conj_thm_2EHolSmt_2Et018,axiom,
    ! [A_27a: del,V0x: $i] :
      ( mem(V0x,ty_2Efcp_2Ecart(bool,A_27a))
     => ! [V1y: $i] :
          ( mem(V1y,ty_2Efcp_2Ecart(bool,A_27a))
         => ! [V2i: tp__ty_2Enum_2Enum] :
              ( ( V0x = V1y )
             => ( p(ap(ap(c_2Efcp_2Efcp__index(bool,A_27a),V0x),inj__ty_2Enum_2Enum(V2i)))
               => p(ap(ap(c_2Efcp_2Efcp__index(bool,A_27a),V1y),inj__ty_2Enum_2Enum(V2i))) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Et019,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone] :
      ( ( surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(c_2Ewords_2En2w(ty_2Eone_2Eone),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))) = surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(c_2Ewords_2Eword__1comp(ty_2Eone_2Eone),inj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(V0x))) )
      | p(ap(ap(c_2Efcp_2Efcp__index(bool,ty_2Eone_2Eone),inj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(V0x)),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ).

tff(conj_thm_2EHolSmt_2Et020,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone] :
      ( p(ap(ap(c_2Efcp_2Efcp__index(bool,ty_2Eone_2Eone),inj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(V0x)),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))
     => ( surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(c_2Ewords_2En2w(ty_2Eone_2Eone),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) = surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(c_2Ewords_2Eword__1comp(ty_2Eone_2Eone),inj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(V0x))) ) ) ).

tff(conj_thm_2EHolSmt_2Et021,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone] :
      ( p(ap(ap(c_2Efcp_2Efcp__index(bool,ty_2Eone_2Eone),inj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(V0x)),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))
     => ( surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(c_2Ewords_2En2w(ty_2Eone_2Eone),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))) = V0x ) ) ).

tff(conj_thm_2EHolSmt_2Et022,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone] :
      ( ~ p(ap(ap(c_2Efcp_2Efcp__index(bool,ty_2Eone_2Eone),inj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(V0x)),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))
     => ( surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(c_2Ewords_2En2w(ty_2Eone_2Eone),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) = V0x ) ) ).

tff(conj_thm_2EHolSmt_2Et023,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone] :
      ( ~ p(ap(ap(c_2Efcp_2Efcp__index(bool,ty_2Eone_2Eone),inj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(V0x)),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))
     => ( surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(c_2Ewords_2En2w(ty_2Eone_2Eone),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))) = surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(c_2Ewords_2Eword__1comp(ty_2Eone_2Eone),inj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(V0x))) ) ) ).

tff(conj_thm_2EHolSmt_2Et024,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone] :
      ( ( surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(c_2Ewords_2En2w(ty_2Eone_2Eone),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) = surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(c_2Ewords_2Eword__1comp(ty_2Eone_2Eone),inj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(V0x))) )
      | ~ p(ap(ap(c_2Efcp_2Efcp__index(bool,ty_2Eone_2Eone),inj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(V0x)),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ).

tff(conj_thm_2EHolSmt_2Et025,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone,V1y: tp__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone] :
      ( ( surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(c_2Ewords_2En2w(ty_2Eone_2Eone),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))) = surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(ap(c_2Ewords_2Eword__or(ty_2Eone_2Eone),ap(c_2Ewords_2Eword__1comp(ty_2Eone_2Eone),inj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(V0x))),ap(c_2Ewords_2Eword__1comp(ty_2Eone_2Eone),inj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(V1y)))) )
      | ~ ( ~ p(ap(ap(c_2Efcp_2Efcp__index(bool,ty_2Eone_2Eone),inj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(V0x)),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))
          | ~ p(ap(ap(c_2Efcp_2Efcp__index(bool,ty_2Eone_2Eone),inj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(V1y)),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ) ).

tff(conj_thm_2EHolSmt_2Et026,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) = V0x )
      | p(ap(ap(c_2Efcp_2Efcp__index(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x)),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))
      | p(ap(ap(c_2Efcp_2Efcp__index(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x)),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))
      | p(ap(ap(c_2Efcp_2Efcp__index(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x)),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))
      | p(ap(ap(c_2Efcp_2Efcp__index(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x)),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))))
      | p(ap(ap(c_2Efcp_2Efcp__index(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x)),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))))
      | p(ap(ap(c_2Efcp_2Efcp__index(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x)),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))))
      | p(ap(ap(c_2Efcp_2Efcp__index(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x)),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))))
      | p(ap(ap(c_2Efcp_2Efcp__index(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x)),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))))) ) ).

tff(conj_thm_2EHolSmt_2Et027,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone,V1p: tp__o] :
      ( ( ( V0x = surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(c_2Ewords_2En2w(ty_2Eone_2Eone),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))) )
      <=> p(inj__o(V1p)) )
    <=> ( V0x = surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,ty_2Eone_2Eone)),inj__o(V1p)),ap(c_2Ewords_2En2w(ty_2Eone_2Eone),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))),ap(c_2Ewords_2En2w(ty_2Eone_2Eone),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ) ).

tff(conj_thm_2EHolSmt_2Et028,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone,V1p: tp__o] :
      ( ( ( surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(c_2Ewords_2En2w(ty_2Eone_2Eone),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))) = V0x )
      <=> p(inj__o(V1p)) )
    <=> ( V0x = surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,ty_2Eone_2Eone)),inj__o(V1p)),ap(c_2Ewords_2En2w(ty_2Eone_2Eone),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))),ap(c_2Ewords_2En2w(ty_2Eone_2Eone),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ) ).

tff(conj_thm_2EHolSmt_2Et029,axiom,
    ! [V0p: tp__o,V1x: tp__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone] :
      ( ( p(inj__o(V0p))
      <=> ( V1x = surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(c_2Ewords_2En2w(ty_2Eone_2Eone),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))) ) )
    <=> ( V1x = surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,ty_2Eone_2Eone)),inj__o(V0p)),ap(c_2Ewords_2En2w(ty_2Eone_2Eone),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))),ap(c_2Ewords_2En2w(ty_2Eone_2Eone),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ) ).

tff(conj_thm_2EHolSmt_2Et030,axiom,
    ! [V0p: tp__o,V1x: tp__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone] :
      ( ( p(inj__o(V0p))
      <=> ( surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(c_2Ewords_2En2w(ty_2Eone_2Eone),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))) = V1x ) )
    <=> ( V1x = surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,ty_2Eone_2Eone)),inj__o(V0p)),ap(c_2Ewords_2En2w(ty_2Eone_2Eone),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))),ap(c_2Ewords_2En2w(ty_2Eone_2Eone),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ) ) ).

tff(stp_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,type,
    surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone: $i > tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] : mem(inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X),ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))) ).

tff(stp_iso_mem_c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Efcp_2Ecart(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))))
     => ( X = inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(X)) ) ) ).

tff(conj_thm_2EHolSmt_2Et031,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Ewords_2Eword__mul(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))))))))))))))))))))))))))))))))),ap(c_2Ewords_2Esw2sw(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x)))) )
     => ~ p(ap(ap(c_2Efcp_2Efcp__index(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x)),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ).

tff(conj_thm_2EHolSmt_2Et032,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Ewords_2Eword__mul(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))))))))))))))))))))))))))))))))),ap(c_2Ewords_2Esw2sw(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x)))) )
     => ~ ( p(ap(ap(c_2Efcp_2Efcp__index(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x)),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))
        <=> ~ p(ap(ap(c_2Efcp_2Efcp__index(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x)),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ) ).

tff(conj_thm_2EHolSmt_2Et033,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone] :
      ( ( surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) = surj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(ap(ap(c_2Ewords_2Eword__mul(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ap(c_2Ewords_2En2w(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))))))))))))))))))))))))))))))))),ap(c_2Ewords_2Esw2sw(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))),ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x)))) )
     => ~ ( p(ap(ap(c_2Efcp_2Efcp__index(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x)),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))))
        <=> ( ~ p(ap(ap(c_2Efcp_2Efcp__index(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x)),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))
            & ~ p(ap(ap(c_2Efcp_2Efcp__index(bool,ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),inj__c_ty_2Efcp_2Ecart_o_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_c_ty_2Efcp_2Ebit0_ty_2Eone_2Eone(V0x)),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))) ) ) ) ).

tff(conj_thm_2EHolSmt_2Et034,axiom,
    ! [A_27a: del,V0x: $i] :
      ( mem(V0x,ty_2Efcp_2Ecart(bool,A_27a))
     => ! [V1y: $i] :
          ( mem(V1y,ty_2Efcp_2Ecart(bool,A_27a))
         => ( ( ap(ap(c_2Ewords_2Eword__add(A_27a),ap(c_2Ewords_2En2w(A_27a),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))),V0x) = V1y )
           => ( p(ap(ap(c_2Efcp_2Efcp__index(bool,A_27a),V0x),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))
             => ~ p(ap(ap(c_2Efcp_2Efcp__index(bool,A_27a),V1y),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ) ) ) ).

tff(conj_thm_2EHolSmt_2Et035,axiom,
    ! [V0x: tp__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone] :
      ( ( surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(c_2Ewords_2En2w(ty_2Eone_2Eone),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))) = V0x )
      | ( surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(ap(ap(c_2Ewords_2Eword__extract(ty_2Eone_2Eone,ty_2Eone_2Eone),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)),inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)),inj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(V0x))) != surj__c_ty_2Efcp_2Ecart_o_ty_2Eone_2Eone(ap(c_2Ewords_2En2w(ty_2Eone_2Eone),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))) ) ) ).

tff(conj_thm_2EHolSmt_2Ep001,axiom,
    ! [A_27a: del] : p(ap(ap(c_2Eprim__rec_2E_3C,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)),ap(c_2Ewords_2Edimword(A_27a),c_2Ebool_2Ethe__value(A_27a)))) ).

tff(conj_thm_2EHolSmt_2Ep002,axiom,
    ! [A_27a: del] : p(ap(ap(c_2Eprim__rec_2E_3C,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO)))),ap(c_2Ewords_2Edimword(A_27a),c_2Ebool_2Ethe__value(A_27a)))) ).

tff(conj_thm_2EHolSmt_2Ep003,axiom,
    p(ap(ap(c_2Eprim__rec_2E_3C,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,inj__ty_2Enum_2Enum(fo__c_2Earithmetic_2EZERO))))))))))),ap(c_2Ewords_2Edimword(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebool_2Ethe__value(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))) ).

tff(conj_thm_2EHolSmt_2Ep004,axiom,
    p(ap(c_2Epred__set_2EFINITE(ty_2Eone_2Eone),c_2Epred__set_2EUNIV(ty_2Eone_2Eone))) ).

tff(conj_thm_2EHolSmt_2Ep005,axiom,
    p(ap(c_2Epred__set_2EFINITE(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))),c_2Epred__set_2EUNIV(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))) ).

tff(conj_thm_2EHolSmt_2Ep006,axiom,
    p(ap(c_2Epred__set_2EFINITE(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),c_2Epred__set_2EUNIV(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))))) ).

tff(conj_thm_2EHolSmt_2Ep007,axiom,
    p(ap(c_2Epred__set_2EFINITE(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),c_2Epred__set_2EUNIV(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))))) ).

tff(stp_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,type,
    tp__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone: $tType ).

tff(stp_inj_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,type,
    inj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone: tp__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone > $i ).

tff(stp_surj_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,type,
    surj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone: $i > tp__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone ).

tff(stp_inj_surj_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone] : ( surj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(inj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(X)) = X ) ).

tff(stp_inj_mem_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,axiom,
    ! [X: tp__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone] : mem(inj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(X),ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))) ).

tff(stp_iso_mem_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone,axiom,
    ! [X: $i] :
      ( mem(X,ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Eone_2Eone)))))
     => ( X = inj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(surj__c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_c_ty_2Efcp_2Ebit1_ty_2Eone_2Eone(X)) ) ) ).

tff(conj_thm_2EHolSmt_2Ep008,axiom,
    p(ap(c_2Epred__set_2EFINITE(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))),c_2Epred__set_2EUNIV(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Efcp_2Ebit1(ty_2Eone_2Eone))))))) ).

tff(conj_thm_2EHolSmt_2Ep009,axiom,
    p(ap(ap(c_2Earithmetic_2E_3C_3D,ap(c_2Efcp_2Edimindex(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))),c_2Ebool_2Ethe__value(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),ap(c_2Efcp_2Edimindex(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone)))))),c_2Ebool_2Ethe__value(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Efcp_2Ebit0(ty_2Eone_2Eone))))))))) ).

%------------------------------------------------------------------------------