ITP001 Axioms: ITP097_4.ax


%------------------------------------------------------------------------------
% File     : ITP097_4 : TPTP v9.0.0. Bugfixed v7.5.0.
% Domain   : Interactive Theorem Proving
% Axioms   : HOL4 syntactic export, chainy mode
% Version  : [BG+19] axioms.
% English  :

% Refs     : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
%          : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% Source   : [BG+19]
% Names    : comparison.ax [Gau19]
%          : HL4097_4.ax [TPAP]

% Status   : Satisfiable
% Syntax   : Number of formulae    :  517 ( 187 unt; 277 typ;   0 def)
%            Number of atoms       :  408 ( 324 equ)
%            Maximal formula atoms :   27 (   0 avg)
%            Number of connectives :  174 (   6   ~;   5   |;  65   &)
%                                         (  42 <=>;  56  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   4 avg)
%            Maximal term depth    :   16 (   3 avg)
%            Number of types       :   34 (  33 usr)
%            Number of type conns  :  233 ( 157   >;  76   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   0 prp; 1-2 aty)
%            Number of functors    :  243 ( 243 usr;  87 con; 0-4 aty)
%            Number of variables   :  644 ( 643   !;   1   ?; 644   :)
% SPC      : TF0_SAT_EQU_NAR

% Comments :
% Bugfixes : v7.5.0 - Fixes to the axioms.
%------------------------------------------------------------------------------
tff(u,type,
    u: $tType ).

tff(d,type,
    d: $tType ).

tff(du,type,
    du: $tType ).

tff(mono_2Etyop_2Emin_2Ebool,type,
    mono_2Etyop_2Emin_2Ebool: $tType ).

tff(mono_2Etyop_2Estring_2Echar,type,
    mono_2Etyop_2Estring_2Echar: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29: $tType ).

tff(mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,type,
    mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29: $tType ).

tff(mono_2Etyop_2Enum_2Enum,type,
    mono_2Etyop_2Enum_2Enum: $tType ).

tff(mono_2Etyop_2EternaryComparisons_2Eordering,type,
    mono_2Etyop_2EternaryComparisons_2Eordering: $tType ).

tff(mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,type,
    mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29: $tType ).

tff(tyop_2Elist_2Elist,type,
    tyop_2Elist_2Elist: d > d ).

tff(tyop_2Emin_2Ebool,type,
    tyop_2Emin_2Ebool: d ).

tff(tyop_2Emin_2Efun,type,
    tyop_2Emin_2Efun: ( d * d ) > d ).

tff(tyop_2Enum_2Enum,type,
    tyop_2Enum_2Enum: d ).

tff(tyop_2Eoption_2Eoption,type,
    tyop_2Eoption_2Eoption: d > d ).

tff(tyop_2Epair_2Eprod,type,
    tyop_2Epair_2Eprod: ( d * d ) > d ).

tff(tyop_2Estring_2Echar,type,
    tyop_2Estring_2Echar: d ).

tff(tyop_2EternaryComparisons_2Eordering,type,
    tyop_2EternaryComparisons_2Eordering: d ).

tff(tyop_2Etoto_2Etoto,type,
    tyop_2Etoto_2Etoto: d > d ).

tff(s,type,
    s: ( d * u ) > du ).

tff(app_2E2,type,
    app_2E2: ( du * du ) > u ).

tff(p,type,
    p: mono_2Etyop_2Emin_2Ebool > $o ).

tff(combin_i_2E0,type,
    combin_i_2E0: u ).

tff(combin_k_2E0,type,
    combin_k_2E0: u ).

tff(combin_s_2E0,type,
    combin_s_2E0: u ).

tff(c_2Ebool_2E_21_2E0,type,
    c_2Ebool_2E_21_2E0: u ).

tff(c_2Ebool_2E_21_2E1,type,
    c_2Ebool_2E_21_2E1: du > u ).

tff(c_2Epair_2E_2C_2E0,type,
    c_2Epair_2E_2C_2E0: u ).

tff(c_2Epair_2E_2C_2E2,type,
    c_2Epair_2E_2C_2E2: ( du * du ) > u ).

tff(c_2Ebool_2E_2F_5C_2E0,type,
    c_2Ebool_2E_2F_5C_2E0: u ).

tff(c_2Ebool_2E_2F_5C_2E2,type,
    c_2Ebool_2E_2F_5C_2E2: ( du * du ) > u ).

tff(c_2Eprim__rec_2E_3C_2E0,type,
    c_2Eprim__rec_2E_3C_2E0: u ).

tff(c_2Eprim__rec_2E_3C_2E2,type,
    c_2Eprim__rec_2E_3C_2E2: ( du * du ) > u ).

tff(c_2Emin_2E_3D_2E0,type,
    c_2Emin_2E_3D_2E0: u ).

tff(c_2Emin_2E_3D_2E2,type,
    c_2Emin_2E_3D_2E2: ( du * du ) > u ).

tff(c_2Emin_2E_3D_3D_3E_2E0,type,
    c_2Emin_2E_3D_3D_3E_2E0: u ).

tff(c_2Emin_2E_3D_3D_3E_2E2,type,
    c_2Emin_2E_3D_3D_3E_2E2: ( du * du ) > u ).

tff(c_2Ebool_2E_3F_2E0,type,
    c_2Ebool_2E_3F_2E0: u ).

tff(c_2Ebool_2E_3F_2E1,type,
    c_2Ebool_2E_3F_2E1: du > u ).

tff(c_2Ebool_2ECOND_2E0,type,
    c_2Ebool_2ECOND_2E0: u ).

tff(c_2Ebool_2ECOND_2E3,type,
    c_2Ebool_2ECOND_2E3: ( du * du * du ) > u ).

tff(c_2Epair_2ECURRY_2E0,type,
    c_2Epair_2ECURRY_2E0: u ).

tff(c_2Epair_2ECURRY_2E1,type,
    c_2Epair_2ECURRY_2E1: du > u ).

tff(c_2EternaryComparisons_2EEQUAL_2E0,type,
    c_2EternaryComparisons_2EEQUAL_2E0: u ).

tff(c_2Ebool_2EF_2E0,type,
    c_2Ebool_2EF_2E0: u ).

tff(c_2Epair_2EFST_2E0,type,
    c_2Epair_2EFST_2E0: u ).

tff(c_2Epair_2EFST_2E1,type,
    c_2Epair_2EFST_2E1: du > u ).

tff(c_2EternaryComparisons_2EGREATER_2E0,type,
    c_2EternaryComparisons_2EGREATER_2E0: u ).

tff(c_2Ebool_2EIN_2E0,type,
    c_2Ebool_2EIN_2E0: u ).

tff(c_2Ebool_2EIN_2E2,type,
    c_2Ebool_2EIN_2E2: ( du * du ) > u ).

tff(c_2EternaryComparisons_2ELESS_2E0,type,
    c_2EternaryComparisons_2ELESS_2E0: u ).

tff(c_2Elist_2ELIST__REL_2E0,type,
    c_2Elist_2ELIST__REL_2E0: u ).

tff(c_2Elist_2ELIST__REL_2E3,type,
    c_2Elist_2ELIST__REL_2E3: ( du * du * du ) > u ).

tff(c_2Elist_2ELIST__TO__SET_2E0,type,
    c_2Elist_2ELIST__TO__SET_2E0: u ).

tff(c_2Elist_2ELIST__TO__SET_2E1,type,
    c_2Elist_2ELIST__TO__SET_2E1: du > u ).

tff(c_2Elist_2ELLEX_2E0,type,
    c_2Elist_2ELLEX_2E0: u ).

tff(c_2Elist_2ELLEX_2E1,type,
    c_2Elist_2ELLEX_2E1: du > u ).

tff(c_2Etoto_2EListOrd_2E0,type,
    c_2Etoto_2EListOrd_2E0: u ).

tff(c_2Etoto_2EListOrd_2E1,type,
    c_2Etoto_2EListOrd_2E1: du > u ).

tff(c_2Eoption_2ENONE_2E0,type,
    c_2Eoption_2ENONE_2E0: u ).

tff(c_2Estring_2EORD_2E0,type,
    c_2Estring_2EORD_2E0: u ).

tff(c_2Estring_2EORD_2E1,type,
    c_2Estring_2EORD_2E1: du > u ).

tff(c_2Epair_2ESND_2E0,type,
    c_2Epair_2ESND_2E0: u ).

tff(c_2Epair_2ESND_2E1,type,
    c_2Epair_2ESND_2E1: du > u ).

tff(c_2Eoption_2ESOME_2E0,type,
    c_2Eoption_2ESOME_2E0: u ).

tff(c_2Eoption_2ESOME_2E1,type,
    c_2Eoption_2ESOME_2E1: du > u ).

tff(c_2Ebool_2ET_2E0,type,
    c_2Ebool_2ET_2E0: u ).

tff(c_2Etoto_2ETO_2E0,type,
    c_2Etoto_2ETO_2E0: u ).

tff(c_2Etoto_2ETO_2E1,type,
    c_2Etoto_2ETO_2E1: du > u ).

tff(c_2Etoto_2ETO__inv_2E0,type,
    c_2Etoto_2ETO__inv_2E0: u ).

tff(c_2Etoto_2ETO__inv_2E1,type,
    c_2Etoto_2ETO__inv_2E1: du > u ).

tff(c_2Etoto_2ETO__of__LinearOrder_2E0,type,
    c_2Etoto_2ETO__of__LinearOrder_2E0: u ).

tff(c_2Etoto_2ETO__of__LinearOrder_2E1,type,
    c_2Etoto_2ETO__of__LinearOrder_2E1: du > u ).

tff(c_2Etoto_2ETotOrd_2E0,type,
    c_2Etoto_2ETotOrd_2E0: u ).

tff(c_2Etoto_2ETotOrd_2E1,type,
    c_2Etoto_2ETotOrd_2E1: du > u ).

tff(c_2Epair_2EUNCURRY_2E0,type,
    c_2Epair_2EUNCURRY_2E0: u ).

tff(c_2Epair_2EUNCURRY_2E1,type,
    c_2Epair_2EUNCURRY_2E1: du > u ).

tff(c_2Ebool_2E_5C_2F_2E0,type,
    c_2Ebool_2E_5C_2F_2E0: u ).

tff(c_2Ebool_2E_5C_2F_2E2,type,
    c_2Ebool_2E_5C_2F_2E2: ( du * du ) > u ).

tff(c_2Etoto_2Eapto_2E0,type,
    c_2Etoto_2Eapto_2E0: u ).

tff(c_2Etoto_2Eapto_2E1,type,
    c_2Etoto_2Eapto_2E1: du > u ).

tff(c_2EternaryComparisons_2Ebool__compare_2E0,type,
    c_2EternaryComparisons_2Ebool__compare_2E0: u ).

tff(c_2EternaryComparisons_2Ebool__compare_2E2,type,
    c_2EternaryComparisons_2Ebool__compare_2E2: ( du * du ) > u ).

tff(c_2Etoto_2EcharOrd_2E0,type,
    c_2Etoto_2EcharOrd_2E0: u ).

tff(c_2EternaryComparisons_2Echar__compare_2E0,type,
    c_2EternaryComparisons_2Echar__compare_2E0: u ).

tff(c_2EternaryComparisons_2Echar__compare_2E2,type,
    c_2EternaryComparisons_2Echar__compare_2E2: ( du * du ) > u ).

tff(c_2Ecomparison_2Eequiv__inj_2E0,type,
    c_2Ecomparison_2Eequiv__inj_2E0: u ).

tff(c_2Ecomparison_2Eequiv__inj_2E3,type,
    c_2Ecomparison_2Eequiv__inj_2E3: ( du * du * du ) > u ).

tff(c_2Ecomparison_2Egood__cmp_2E0,type,
    c_2Ecomparison_2Egood__cmp_2E0: u ).

tff(c_2Ecomparison_2Egood__cmp_2E1,type,
    c_2Ecomparison_2Egood__cmp_2E1: du > u ).

tff(c_2EternaryComparisons_2Einvert__comparison_2E0,type,
    c_2EternaryComparisons_2Einvert__comparison_2E0: u ).

tff(c_2Erelation_2Eirreflexive_2E0,type,
    c_2Erelation_2Eirreflexive_2E0: u ).

tff(c_2Erelation_2Eirreflexive_2E1,type,
    c_2Erelation_2Eirreflexive_2E1: du > u ).

tff(c_2Etoto_2ElexTO_2E0,type,
    c_2Etoto_2ElexTO_2E0: u ).

tff(c_2Etoto_2ElexTO_2E2,type,
    c_2Etoto_2ElexTO_2E2: ( du * du ) > u ).

tff(c_2EternaryComparisons_2Elist__compare_2E0,type,
    c_2EternaryComparisons_2Elist__compare_2E0: u ).

tff(c_2EternaryComparisons_2Elist__compare_2E1,type,
    c_2EternaryComparisons_2Elist__compare_2E1: du > u ).

tff(c_2EternaryComparisons_2Elist__compare_2E3,type,
    c_2EternaryComparisons_2Elist__compare_2E3: ( du * du * du ) > u ).

tff(c_2Etoto_2EnumOrd_2E0,type,
    c_2Etoto_2EnumOrd_2E0: u ).

tff(c_2EternaryComparisons_2Enum__compare_2E0,type,
    c_2EternaryComparisons_2Enum__compare_2E0: u ).

tff(c_2EternaryComparisons_2Enum__compare_2E2,type,
    c_2EternaryComparisons_2Enum__compare_2E2: ( du * du ) > u ).

tff(c_2Ecombin_2Eo_2E0,type,
    c_2Ecombin_2Eo_2E0: u ).

tff(c_2Ecombin_2Eo_2E2,type,
    c_2Ecombin_2Eo_2E2: ( du * du ) > u ).

tff(c_2Ecomparison_2Eoption__cmp2_2E0,type,
    c_2Ecomparison_2Eoption__cmp2_2E0: u ).

tff(c_2Ecomparison_2Eoption__cmp2_2E1,type,
    c_2Ecomparison_2Eoption__cmp2_2E1: du > u ).

tff(c_2Ecomparison_2Eoption__cmp2_2E3,type,
    c_2Ecomparison_2Eoption__cmp2_2E3: ( du * du * du ) > u ).

tff(c_2EternaryComparisons_2Eoption__compare_2E0,type,
    c_2EternaryComparisons_2Eoption__compare_2E0: u ).

tff(c_2EternaryComparisons_2Eoption__compare_2E1,type,
    c_2EternaryComparisons_2Eoption__compare_2E1: du > u ).

tff(c_2EternaryComparisons_2Eoption__compare_2E3,type,
    c_2EternaryComparisons_2Eoption__compare_2E3: ( du * du * du ) > u ).

tff(c_2EternaryComparisons_2Eordering__CASE_2E0,type,
    c_2EternaryComparisons_2Eordering__CASE_2E0: u ).

tff(c_2EternaryComparisons_2Eordering__CASE_2E4,type,
    c_2EternaryComparisons_2Eordering__CASE_2E4: ( du * du * du * du ) > u ).

tff(c_2EternaryComparisons_2Epair__compare_2E0,type,
    c_2EternaryComparisons_2Epair__compare_2E0: u ).

tff(c_2EternaryComparisons_2Epair__compare_2E2,type,
    c_2EternaryComparisons_2Epair__compare_2E2: ( du * du ) > u ).

tff(c_2EternaryComparisons_2Epair__compare_2E4,type,
    c_2EternaryComparisons_2Epair__compare_2E4: ( du * du * du * du ) > u ).

tff(c_2Ecomparison_2Eresp__equiv_2E0,type,
    c_2Ecomparison_2Eresp__equiv_2E0: u ).

tff(c_2Ecomparison_2Eresp__equiv_2E2,type,
    c_2Ecomparison_2Eresp__equiv_2E2: ( du * du ) > u ).

tff(c_2Ecomparison_2Eresp__equiv2_2E0,type,
    c_2Ecomparison_2Eresp__equiv2_2E0: u ).

tff(c_2Ecomparison_2Eresp__equiv2_2E3,type,
    c_2Ecomparison_2Eresp__equiv2_2E3: ( du * du * du ) > u ).

tff(c_2EternaryComparisons_2Estring__compare_2E0,type,
    c_2EternaryComparisons_2Estring__compare_2E0: u ).

tff(c_2EternaryComparisons_2Estring__compare_2E2,type,
    c_2EternaryComparisons_2Estring__compare_2E2: ( du * du ) > u ).

tff(c_2Etoto_2Estringto_2E0,type,
    c_2Etoto_2Estringto_2E0: u ).

tff(c_2Erelation_2Etransitive_2E0,type,
    c_2Erelation_2Etransitive_2E0: u ).

tff(c_2Erelation_2Etransitive_2E1,type,
    c_2Erelation_2Etransitive_2E1: du > u ).

tff(c_2Ebool_2E_7E_2E0,type,
    c_2Ebool_2E_7E_2E0: u ).

tff(c_2Ebool_2E_7E_2E1,type,
    c_2Ebool_2E_7E_2E1: du > u ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2EternaryComparisons_2Eordering,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2EternaryComparisons_2Eordering: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2EternaryComparisons_2Eordering ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29 * mono_2Etyop_2Estring_2Echar ) > mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Enum_2Enum,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29 * mono_2Etyop_2Estring_2Echar ) > mono_2Etyop_2Enum_2Enum ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2EternaryComparisons_2Eordering,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2EternaryComparisons_2Eordering: ( mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29 * mono_2Etyop_2Estring_2Echar ) > mono_2Etyop_2EternaryComparisons_2Eordering ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29 * mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2EternaryComparisons_2Eordering,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2EternaryComparisons_2Eordering: ( mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29 * mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) > mono_2Etyop_2EternaryComparisons_2Eordering ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2EternaryComparisons_2Eordering,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2EternaryComparisons_2Eordering: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2EternaryComparisons_2Eordering ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29_29 * mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 * mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29 * mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2EternaryComparisons_2Eordering,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2EternaryComparisons_2Eordering: ( mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29 * mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2EternaryComparisons_2Eordering ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 * mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29 ).

tff(mono_2Ec_2Ebool_2E_2F_5C_2E0,type,
    mono_2Ec_2Ebool_2E_2F_5C_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Ebool_2E_2F_5C_2E2,type,
    mono_2Ec_2Ebool_2E_2F_5C_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Eprim__rec_2E_3C_2E0,type,
    mono_2Ec_2Eprim__rec_2E_3C_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Eprim__rec_2E_3C_2E2,type,
    mono_2Ec_2Eprim__rec_2E_3C_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Emin_2E_3D_3D_3E_2E0,type,
    mono_2Ec_2Emin_2E_3D_3D_3E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Emin_2E_3D_3D_3E_2E2,type,
    mono_2Ec_2Emin_2E_3D_3D_3E_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2EternaryComparisons_2Eordering,type,
    mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2EternaryComparisons_2Eordering: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 ).

tff(mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2EternaryComparisons_2Eordering,type,
    mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2EternaryComparisons_2Eordering: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2EternaryComparisons_2Eordering * mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2EternaryComparisons_2Eordering ).

tff(mono_2Ec_2EternaryComparisons_2EEQUAL_2E0,type,
    mono_2Ec_2EternaryComparisons_2EEQUAL_2E0: mono_2Etyop_2EternaryComparisons_2Eordering ).

tff(mono_2Ec_2Ebool_2EF_2E0,type,
    mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2EternaryComparisons_2EGREATER_2E0,type,
    mono_2Ec_2EternaryComparisons_2EGREATER_2E0: mono_2Etyop_2EternaryComparisons_2Eordering ).

tff(mono_2Ec_2EternaryComparisons_2ELESS_2E0,type,
    mono_2Ec_2EternaryComparisons_2ELESS_2E0: mono_2Etyop_2EternaryComparisons_2Eordering ).

tff(mono_2Ec_2Estring_2EORD_2E0,type,
    mono_2Ec_2Estring_2EORD_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29 ).

tff(mono_2Ec_2Estring_2EORD_2E1,type,
    mono_2Ec_2Estring_2EORD_2E1: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ).

tff(mono_2Ec_2Ebool_2ET_2E0,type,
    mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Ebool_2E_5C_2F_2E0,type,
    mono_2Ec_2Ebool_2E_5C_2F_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Ebool_2E_5C_2F_2E2,type,
    mono_2Ec_2Ebool_2E_5C_2F_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Etoto_2Eapto_2E0_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,type,
    mono_2Ec_2Etoto_2Eapto_2E0_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29: mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 ).

tff(mono_2Ec_2Etoto_2Eapto_2E1_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,type,
    mono_2Ec_2Etoto_2Eapto_2E1_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29: mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29 ).

tff(mono_2Ec_2EternaryComparisons_2Ebool__compare_2E0,type,
    mono_2Ec_2EternaryComparisons_2Ebool__compare_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29 ).

tff(mono_2Ec_2EternaryComparisons_2Ebool__compare_2E2,type,
    mono_2Ec_2EternaryComparisons_2Ebool__compare_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2EternaryComparisons_2Eordering ).

tff(mono_2Ec_2Etoto_2EcharOrd_2E0,type,
    mono_2Ec_2Etoto_2EcharOrd_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29 ).

tff(mono_2Ec_2EternaryComparisons_2Echar__compare_2E0,type,
    mono_2Ec_2EternaryComparisons_2Echar__compare_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29 ).

tff(mono_2Ec_2EternaryComparisons_2Echar__compare_2E2,type,
    mono_2Ec_2EternaryComparisons_2Echar__compare_2E2: ( mono_2Etyop_2Estring_2Echar * mono_2Etyop_2Estring_2Echar ) > mono_2Etyop_2EternaryComparisons_2Eordering ).

tff(mono_2Ec_2Ecomparison_2Egood__cmp_2E0_2Emono_2Etyop_2Emin_2Ebool,type,
    mono_2Ec_2Ecomparison_2Egood__cmp_2E0_2Emono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Emin_2Ebool,type,
    mono_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29 > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Ecomparison_2Egood__cmp_2E0_2Emono_2Etyop_2Estring_2Echar,type,
    mono_2Ec_2Ecomparison_2Egood__cmp_2E0_2Emono_2Etyop_2Estring_2Echar: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Estring_2Echar,type,
    mono_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Estring_2Echar: mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29 > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Ecomparison_2Egood__cmp_2E0_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,type,
    mono_2Ec_2Ecomparison_2Egood__cmp_2E0_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,type,
    mono_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29: mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29 > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Ecomparison_2Egood__cmp_2E0_2Emono_2Etyop_2Enum_2Enum,type,
    mono_2Ec_2Ecomparison_2Egood__cmp_2E0_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Enum_2Enum,type,
    mono_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29 > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2EternaryComparisons_2Einvert__comparison_2E0,type,
    mono_2Ec_2EternaryComparisons_2Einvert__comparison_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29 ).

tff(mono_2Ec_2EternaryComparisons_2Elist__compare_2E0_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Estring_2Echar,type,
    mono_2Ec_2EternaryComparisons_2Elist__compare_2E0_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Estring_2Echar: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 ).

tff(mono_2Ec_2EternaryComparisons_2Elist__compare_2E1_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Estring_2Echar,type,
    mono_2Ec_2EternaryComparisons_2Elist__compare_2E1_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Estring_2Echar: mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29 > mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29 ).

tff(mono_2Ec_2Etoto_2EnumOrd_2E0,type,
    mono_2Ec_2Etoto_2EnumOrd_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29 ).

tff(mono_2Ec_2EternaryComparisons_2Enum__compare_2E0,type,
    mono_2Ec_2EternaryComparisons_2Enum__compare_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29 ).

tff(mono_2Ec_2EternaryComparisons_2Enum__compare_2E2,type,
    mono_2Ec_2EternaryComparisons_2Enum__compare_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2EternaryComparisons_2Eordering ).

tff(mono_2Ec_2EternaryComparisons_2Eordering__CASE_2E0_2Emono_2Etyop_2EternaryComparisons_2Eordering,type,
    mono_2Ec_2EternaryComparisons_2Eordering__CASE_2E0_2Emono_2Etyop_2EternaryComparisons_2Eordering: mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29_29 ).

tff(mono_2Ec_2EternaryComparisons_2Eordering__CASE_2E4_2Emono_2Etyop_2EternaryComparisons_2Eordering,type,
    mono_2Ec_2EternaryComparisons_2Eordering__CASE_2E4_2Emono_2Etyop_2EternaryComparisons_2Eordering: ( mono_2Etyop_2EternaryComparisons_2Eordering * mono_2Etyop_2EternaryComparisons_2Eordering * mono_2Etyop_2EternaryComparisons_2Eordering * mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2EternaryComparisons_2Eordering ).

tff(mono_2Ec_2EternaryComparisons_2Estring__compare_2E0,type,
    mono_2Ec_2EternaryComparisons_2Estring__compare_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29 ).

tff(mono_2Ec_2EternaryComparisons_2Estring__compare_2E2,type,
    mono_2Ec_2EternaryComparisons_2Estring__compare_2E2: ( mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 * mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ) > mono_2Etyop_2EternaryComparisons_2Eordering ).

tff(mono_2Ec_2Etoto_2Estringto_2E0,type,
    mono_2Ec_2Etoto_2Estringto_2E0: mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ).

tff(mono_2Ec_2Ebool_2E_7E_2E0,type,
    mono_2Ec_2Ebool_2E_7E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Ec_2Ebool_2E_7E_2E1,type,
    mono_2Ec_2Ebool_2E_7E_2E1: mono_2Etyop_2Emin_2Ebool > mono_2Etyop_2Emin_2Ebool ).

tff(i_mono_2Etyop_2Emin_2Ebool,type,
    i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).

tff(i_mono_2Etyop_2Estring_2Echar,type,
    i_mono_2Etyop_2Estring_2Echar: mono_2Etyop_2Estring_2Echar > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29: mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29: mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29: mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29: mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 > u ).

tff(i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,type,
    i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 > u ).

tff(i_mono_2Etyop_2Enum_2Enum,type,
    i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).

tff(i_mono_2Etyop_2EternaryComparisons_2Eordering,type,
    i_mono_2Etyop_2EternaryComparisons_2Eordering: mono_2Etyop_2EternaryComparisons_2Eordering > u ).

tff(i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,type,
    i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29: mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 > u ).

tff(j_mono_2Etyop_2Emin_2Ebool,type,
    j_mono_2Etyop_2Emin_2Ebool: du > mono_2Etyop_2Emin_2Ebool ).

tff(j_mono_2Etyop_2Estring_2Echar,type,
    j_mono_2Etyop_2Estring_2Echar: du > mono_2Etyop_2Estring_2Echar ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 ).

tff(j_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,type,
    j_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29 ).

tff(j_mono_2Etyop_2Enum_2Enum,type,
    j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum ).

tff(j_mono_2Etyop_2EternaryComparisons_2Eordering,type,
    j_mono_2Etyop_2EternaryComparisons_2Eordering: du > mono_2Etyop_2EternaryComparisons_2Eordering ).

tff(j_mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,type,
    j_mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29: du > mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ).

tff(reserved_2Eho_2Eeq__ext,axiom,
    ! [A_27a: d,A_27b: d,V0f_2E0: u,V1g_2E0: u] :
      ( ! [V2x_2E0: u] : ( s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0),s(A_27a,V2x_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0))) )
     => ( s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0) = s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0) ) ) ).

tff(reserved_2Eho_2Eboolext,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Ebool,V1_2E0: mono_2Etyop_2Emin_2Ebool] :
      ( ( p(V0_2E0)
      <=> p(V1_2E0) )
     => ( V0_2E0 = V1_2E0 ) ) ).

tff(reserved_2Eho_2Etruth,axiom,
    p(mono_2Ec_2Ebool_2ET_2E0) ).

tff(reserved_2Eho_2Enotfalse,axiom,
    ~ p(mono_2Ec_2Ebool_2EF_2E0) ).

tff(reserved_2Eho_2Ebool__cases__ax,axiom,
    ! [V0t_2E0: mono_2Etyop_2Emin_2Ebool] :
      ( ( V0t_2E0 = mono_2Ec_2Ebool_2ET_2E0 )
      | ( V0t_2E0 = mono_2Ec_2Ebool_2EF_2E0 ) ) ).

tff(reserved_2Eho_2Ei__thm,axiom,
    ! [A_27a: d,V0x_2E0: u] : ( s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),combin_i_2E0),s(A_27a,V0x_2E0))) = s(A_27a,V0x_2E0) ) ).

tff(reserved_2Eho_2Ek__thm,axiom,
    ! [A_27a: d,A_27b: d,V0x_2E0: u,V1y_2E0: u] : ( s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27a)),combin_k_2E0),s(A_27a,V0x_2E0))),s(A_27b,V1y_2E0))) = s(A_27a,V0x_2E0) ) ).

tff(reserved_2Eho_2Es__thm,axiom,
    ! [A_27a: d,A_27b: d,A_27c: d,V0f_2E0: u,V1g_2E0: u,V2x_2E0: u] : ( s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27c),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c))),combin_s_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0))),s(A_27a,V2x_2E0))) = s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27c),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0),s(A_27a,V2x_2E0))),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0))))) ) ).

tff(reserved_2Elogic_2E_2F_5C,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Ebool,V1_2E0: mono_2Etyop_2Emin_2Ebool] :
      ( p(mono_2Ec_2Ebool_2E_2F_5C_2E2(V0_2E0,V1_2E0))
    <=> ( p(V0_2E0)
        & p(V1_2E0) ) ) ).

tff(reserved_2Elogic_2E_5C_2F,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Ebool,V1_2E0: mono_2Etyop_2Emin_2Ebool] :
      ( p(mono_2Ec_2Ebool_2E_5C_2F_2E2(V0_2E0,V1_2E0))
    <=> ( p(V0_2E0)
        | p(V1_2E0) ) ) ).

tff(reserved_2Elogic_2E_7E,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Ebool] :
      ( p(mono_2Ec_2Ebool_2E_7E_2E1(V0_2E0))
    <=> ~ p(V0_2E0) ) ).

tff(reserved_2Elogic_2E_3D_3D_3E,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Ebool,V1_2E0: mono_2Etyop_2Emin_2Ebool] :
      ( p(mono_2Ec_2Emin_2E_3D_3D_3E_2E2(V0_2E0,V1_2E0))
    <=> ( p(V0_2E0)
       => p(V1_2E0) ) ) ).

tff(reserved_2Elogic_2E_3D,axiom,
    ! [A_27a: d,V0_2E0: u,V1_2E0: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0)))))
    <=> ( s(A_27a,V0_2E0) = s(A_27a,V1_2E0) ) ) ).

tff(reserved_2Equant_2E_21,axiom,
    ! [A_27a: d,V0f_2E0: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0)))))
    <=> ! [V1x_2E0: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0))))) ) ).

tff(reserved_2Equant_2E_3F,axiom,
    ! [A_27a: d,V0f_2E0: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0)))))
    <=> ? [V1x_2E0: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0))))) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,V0_2E0)))) = s(tyop_2Emin_2Ebool,V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Estring_2Echar,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Estring_2Echar,i_mono_2Etyop_2Estring_2Echar(j_mono_2Etyop_2Estring_2Echar(s(tyop_2Estring_2Echar,V0_2E0)))) = s(tyop_2Estring_2Echar,V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2EternaryComparisons_2Eordering)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2EternaryComparisons_2Eordering)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering))),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2EternaryComparisons_2Eordering),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2EternaryComparisons_2Eordering),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2EternaryComparisons_2Eordering),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29(s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Enum_2Enum),i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29(s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Enum_2Enum),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Enum_2Enum),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering),i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29(s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering))),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering),i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2EternaryComparisons_2Eordering)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2EternaryComparisons_2Eordering)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2EternaryComparisons_2Eordering),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2EternaryComparisons_2Eordering),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2EternaryComparisons_2Eordering),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering)))),i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29_29(s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering)))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering)))),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering))),i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering))),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29(s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering),i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29(s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Etoto_2Etoto(tyop_2Elist_2Elist(tyop_2Estring_2Echar)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(s(tyop_2Emin_2Efun(tyop_2Etoto_2Etoto(tyop_2Elist_2Elist(tyop_2Estring_2Echar)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Etoto_2Etoto(tyop_2Elist_2Elist(tyop_2Estring_2Echar)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering))),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Elist_2Elist(tyop_2Estring_2Echar),i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29(j_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29(s(tyop_2Elist_2Elist(tyop_2Estring_2Echar),V0_2E0)))) = s(tyop_2Elist_2Elist(tyop_2Estring_2Echar),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Enum_2Enum,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,V0_2E0)))) = s(tyop_2Enum_2Enum,V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2EternaryComparisons_2Eordering,axiom,
    ! [V0_2E0: u] : ( s(tyop_2EternaryComparisons_2Eordering,i_mono_2Etyop_2EternaryComparisons_2Eordering(j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,V0_2E0)))) = s(tyop_2EternaryComparisons_2Eordering,V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Etoto_2Etoto(tyop_2Elist_2Elist(tyop_2Estring_2Echar)),i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29(j_mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29(s(tyop_2Etoto_2Etoto(tyop_2Elist_2Elist(tyop_2Estring_2Echar)),V0_2E0)))) = s(tyop_2Etoto_2Etoto(tyop_2Elist_2Elist(tyop_2Estring_2Echar)),V0_2E0) ) ).

tff(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Ebool] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Estring_2Echar,axiom,
    ! [V0_2E0: mono_2Etyop_2Estring_2Echar] : ( j_mono_2Etyop_2Estring_2Echar(s(tyop_2Estring_2Echar,i_mono_2Etyop_2Estring_2Echar(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2EternaryComparisons_2Eordering),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29(s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29(s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Enum_2Enum),i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29(s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering),i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering),i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2EternaryComparisons_2Eordering),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29_29(s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering)))),i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering))),i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29(s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29(s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering),i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(s(tyop_2Emin_2Efun(tyop_2Etoto_2Etoto(tyop_2Elist_2Elist(tyop_2Estring_2Echar)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] : ( j_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29(s(tyop_2Elist_2Elist(tyop_2Estring_2Echar),i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Enum_2Enum,axiom,
    ! [V0_2E0: mono_2Etyop_2Enum_2Enum] : ( j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2EternaryComparisons_2Eordering,axiom,
    ! [V0_2E0: mono_2Etyop_2EternaryComparisons_2Eordering] : ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,i_mono_2Etyop_2EternaryComparisons_2Eordering(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29] : ( j_mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29(s(tyop_2Etoto_2Etoto(tyop_2Elist_2Elist(tyop_2Estring_2Echar)),i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29(V0_2E0))) = V0_2E0 ) ).

tff(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))) ) ).

tff(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2EA_27a_20mono_2EA_27c,axiom,
    ! [A_27a: d,A_27c: d,X0_2E0: u,X1_2E0: u] : ( s(tyop_2Epair_2Eprod(A_27a,A_27c),c_2Epair_2E_2C_2E2(s(A_27a,X0_2E0),s(A_27c,X1_2E0))) = s(tyop_2Epair_2Eprod(A_27a,A_27c),app_2E2(s(tyop_2Emin_2Efun(A_27c,tyop_2Epair_2Eprod(A_27a,A_27c)),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27c,tyop_2Epair_2Eprod(A_27a,A_27c))),c_2Epair_2E_2C_2E0),s(A_27a,X0_2E0))),s(A_27c,X1_2E0))) ) ).

tff(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2EA_27b_20mono_2EA_27d,axiom,
    ! [A_27b: d,A_27d: d,X0_2E0: u,X1_2E0: u] : ( s(tyop_2Epair_2Eprod(A_27b,A_27d),c_2Epair_2E_2C_2E2(s(A_27b,X0_2E0),s(A_27d,X1_2E0))) = s(tyop_2Epair_2Eprod(A_27b,A_27d),app_2E2(s(tyop_2Emin_2Efun(A_27d,tyop_2Epair_2Eprod(A_27b,A_27d)),app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27d,tyop_2Epair_2Eprod(A_27b,A_27d))),c_2Epair_2E_2C_2E0),s(A_27b,X0_2E0))),s(A_27d,X1_2E0))) ) ).

tff(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Ebool,X1_2E0: mono_2Etyop_2Emin_2Ebool] :
      ( ( p(X0_2E0)
        & p(X1_2E0) )
    <=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_2F_5C_2E0,X0_2E0),X1_2E0)) ) ).

tff(arityeq2_2Ec_2Eprim__rec_2E_3C_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Enum_2Enum,X1_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Eprim__rec_2E_3C_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eprim__rec_2E_3C_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u,X1_2E0: u] :
      ( ( s(A_27a,X0_2E0) = s(A_27a,X1_2E0) )
    <=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0))))) ) ).

tff(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Ebool,X1_2E0: mono_2Etyop_2Emin_2Ebool] :
      ( ( p(X0_2E0)
       => p(X1_2E0) )
    <=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Emin_2E_3D_3D_3E_2E0,X0_2E0),X1_2E0)) ) ).

tff(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))) ) ).

tff(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2EternaryComparisons_2Eordering,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Ebool,X1_2E0: mono_2Etyop_2EternaryComparisons_2Eordering,X2_2E0: mono_2Etyop_2EternaryComparisons_2Eordering] : ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2EternaryComparisons_2Eordering(X0_2E0,X1_2E0,X2_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2EternaryComparisons_2Eordering(mono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2EternaryComparisons_2Eordering,X0_2E0),X1_2E0),X2_2E0) ) ).

tff(arityeq1_2Ec_2Epair_2ECURRY_2E1_2Emono_2EA_27a_20mono_2EA_27a_20mono_2Etyop_2EternaryComparisons_2Eordering,axiom,
    ! [A_27a: d,X0_2E0: u] : ( s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),c_2Epair_2ECURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2EternaryComparisons_2Eordering),X0_2E0))) = s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2EternaryComparisons_2Eordering),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering))),c_2Epair_2ECURRY_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2EternaryComparisons_2Eordering),X0_2E0))) ) ).

tff(arityeq1_2Ec_2Epair_2EFST_2E1_2Emono_2EA_27a_20mono_2EA_27c,axiom,
    ! [A_27a: d,A_27c: d,X0_2E0: u] : ( s(A_27a,c_2Epair_2EFST_2E1(s(tyop_2Epair_2Eprod(A_27a,A_27c),X0_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27c),A_27a),c_2Epair_2EFST_2E0),s(tyop_2Epair_2Eprod(A_27a,A_27c),X0_2E0))) ) ).

tff(arityeq1_2Ec_2Epair_2EFST_2E1_2Emono_2EA_27b_20mono_2EA_27d,axiom,
    ! [A_27b: d,A_27d: d,X0_2E0: u] : ( s(A_27b,c_2Epair_2EFST_2E1(s(tyop_2Epair_2Eprod(A_27b,A_27d),X0_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27b,A_27d),A_27b),c_2Epair_2EFST_2E0),s(tyop_2Epair_2Eprod(A_27b,A_27d),X0_2E0))) ) ).

tff(arityeq2_2Ec_2Ebool_2EIN_2E2_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u,X1_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2EIN_2E0),s(A_27a,X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0)))) ) ).

tff(arityeq2_2Ec_2Ebool_2EIN_2E2_2Emono_2EA_27b,axiom,
    ! [A_27b: d,X0_2E0: u,X1_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27b,X0_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2EIN_2E0),s(A_27b,X0_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0)))) ) ).

tff(arityeq3_2Ec_2Elist_2ELIST__REL_2E3_2Emono_2EA_27a_20mono_2EA_27b,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Elist_2ELIST__REL_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),X0_2E0),s(tyop_2Elist_2Elist(A_27a),X1_2E0),s(tyop_2Elist_2Elist(A_27b),X2_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27b),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27b),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27b),tyop_2Emin_2Ebool))),c_2Elist_2ELIST__REL_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),X0_2E0))),s(tyop_2Elist_2Elist(A_27a),X1_2E0))),s(tyop_2Elist_2Elist(A_27b),X2_2E0)))) ) ).

tff(arityeq1_2Ec_2Elist_2ELIST__TO__SET_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u] : ( s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Elist_2ELIST__TO__SET_2E1(s(tyop_2Elist_2Elist(A_27a),X0_2E0))) = s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Elist_2ELIST__TO__SET_2E0),s(tyop_2Elist_2Elist(A_27a),X0_2E0))) ) ).

tff(arityeq1_2Ec_2Elist_2ELIST__TO__SET_2E1_2Emono_2EA_27b,axiom,
    ! [A_27b: d,X0_2E0: u] : ( s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),c_2Elist_2ELIST__TO__SET_2E1(s(tyop_2Elist_2Elist(A_27b),X0_2E0))) = s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27b),tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),c_2Elist_2ELIST__TO__SET_2E0),s(tyop_2Elist_2Elist(A_27b),X0_2E0))) ) ).

tff(arityeq1_2Ec_2Elist_2ELLEX_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Ebool)),c_2Elist_2ELLEX_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Ebool))),c_2Elist_2ELLEX_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),X0_2E0))) ) ).

tff(arityeq1_2Ec_2Etoto_2EListOrd_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2EternaryComparisons_2Eordering)),c_2Etoto_2EListOrd_2E1(s(tyop_2Etoto_2Etoto(A_27a),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Etoto_2Etoto(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2EternaryComparisons_2Eordering))),c_2Etoto_2EListOrd_2E0),s(tyop_2Etoto_2Etoto(A_27a),X0_2E0))) ) ).

tff(arityeq1_2Ec_2Estring_2EORD_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Estring_2Echar] : ( mono_2Ec_2Estring_2EORD_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Enum_2Enum(mono_2Ec_2Estring_2EORD_2E0,X0_2E0) ) ).

tff(arityeq1_2Ec_2Epair_2ESND_2E1_2Emono_2EA_27a_20mono_2EA_27c,axiom,
    ! [A_27a: d,A_27c: d,X0_2E0: u] : ( s(A_27c,c_2Epair_2ESND_2E1(s(tyop_2Epair_2Eprod(A_27a,A_27c),X0_2E0))) = s(A_27c,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27c),A_27c),c_2Epair_2ESND_2E0),s(tyop_2Epair_2Eprod(A_27a,A_27c),X0_2E0))) ) ).

tff(arityeq1_2Ec_2Epair_2ESND_2E1_2Emono_2EA_27b_20mono_2EA_27d,axiom,
    ! [A_27b: d,A_27d: d,X0_2E0: u] : ( s(A_27d,c_2Epair_2ESND_2E1(s(tyop_2Epair_2Eprod(A_27b,A_27d),X0_2E0))) = s(A_27d,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27b,A_27d),A_27d),c_2Epair_2ESND_2E0),s(tyop_2Epair_2Eprod(A_27b,A_27d),X0_2E0))) ) ).

tff(arityeq1_2Ec_2Eoption_2ESOME_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u] : ( s(tyop_2Eoption_2Eoption(A_27a),c_2Eoption_2ESOME_2E1(s(A_27a,X0_2E0))) = s(tyop_2Eoption_2Eoption(A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eoption_2Eoption(A_27a)),c_2Eoption_2ESOME_2E0),s(A_27a,X0_2E0))) ) ).

tff(arityeq1_2Ec_2Eoption_2ESOME_2E1_2Emono_2EA_27b,axiom,
    ! [A_27b: d,X0_2E0: u] : ( s(tyop_2Eoption_2Eoption(A_27b),c_2Eoption_2ESOME_2E1(s(A_27b,X0_2E0))) = s(tyop_2Eoption_2Eoption(A_27b),app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Eoption_2Eoption(A_27b)),c_2Eoption_2ESOME_2E0),s(A_27b,X0_2E0))) ) ).

tff(arityeq1_2Ec_2Etoto_2ETO_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u] : ( s(tyop_2Etoto_2Etoto(A_27a),c_2Etoto_2ETO_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0))) = s(tyop_2Etoto_2Etoto(A_27a),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Etoto_2Etoto(A_27a)),c_2Etoto_2ETO_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0))) ) ).

tff(arityeq1_2Ec_2Etoto_2ETO__inv_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u] : ( s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),c_2Etoto_2ETO__inv_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0))) = s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering))),c_2Etoto_2ETO__inv_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0))) ) ).

tff(arityeq1_2Ec_2Etoto_2ETO__inv_2E1_2Emono_2Etyop_2Eoption_2Eoption_28A_27a_29,axiom,
    ! [A_27a: d,X0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering)),c_2Etoto_2ETO__inv_2E1(s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering)),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering))),c_2Etoto_2ETO__inv_2E0),s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering)),X0_2E0))) ) ).

tff(arityeq1_2Ec_2Etoto_2ETO__of__LinearOrder_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u] : ( s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),c_2Etoto_2ETO__of__LinearOrder_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),X0_2E0))) = s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering))),c_2Etoto_2ETO__of__LinearOrder_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),X0_2E0))) ) ).

tff(arityeq1_2Ec_2Etoto_2ETO__of__LinearOrder_2E1_2Emono_2Etyop_2Elist_2Elist_28A_27a_29,axiom,
    ! [A_27a: d,X0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2EternaryComparisons_2Eordering)),c_2Etoto_2ETO__of__LinearOrder_2E1(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Ebool)),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2EternaryComparisons_2Eordering))),c_2Etoto_2ETO__of__LinearOrder_2E0),s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Ebool)),X0_2E0))) ) ).

tff(arityeq1_2Ec_2Etoto_2ETotOrd_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Etoto_2ETotOrd_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),c_2Etoto_2ETotOrd_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0)))) ) ).

tff(arityeq1_2Ec_2Etoto_2ETotOrd_2E1_2Emono_2EA_27b,axiom,
    ! [A_27b: d,X0_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Etoto_2ETotOrd_2E1(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),X0_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),c_2Etoto_2ETotOrd_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),X0_2E0)))) ) ).

tff(arityeq1_2Ec_2Etoto_2ETotOrd_2E1_2Emono_2Etyop_2Elist_2Elist_28A_27a_29,axiom,
    ! [A_27a: d,X0_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Etoto_2ETotOrd_2E1(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2EternaryComparisons_2Eordering)),X0_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),c_2Etoto_2ETotOrd_2E0),s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2EternaryComparisons_2Eordering)),X0_2E0)))) ) ).

tff(arityeq1_2Ec_2Epair_2EUNCURRY_2E1_2Emono_2EA_27a_20mono_2EA_27a_20mono_2Etyop_2EternaryComparisons_2Eordering,axiom,
    ! [A_27a: d,X0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2EternaryComparisons_2Eordering),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2EternaryComparisons_2Eordering)),c_2Epair_2EUNCURRY_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0))) ) ).

tff(arityeq1_2Ec_2Epair_2EUNCURRY_2E1_2Emono_2EA_27a_20mono_2EA_27b_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool)),c_2Epair_2EUNCURRY_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),X0_2E0))) ) ).

tff(arityeq1_2Ec_2Epair_2EUNCURRY_2E1_2Emono_2EA_27a_20mono_2EA_27b_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28A_27a_2CA_27b_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool)),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool))),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool))),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool))),c_2Epair_2EUNCURRY_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool))),X0_2E0))) ) ).

tff(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Ebool,X1_2E0: mono_2Etyop_2Emin_2Ebool] :
      ( ( p(X0_2E0)
        | p(X1_2E0) )
    <=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_5C_2F_2E0,X0_2E0),X1_2E0)) ) ).

tff(arityeq1_2Ec_2Etoto_2Eapto_2E1_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,axiom,
    ! [X0_2E0: mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29] : ( mono_2Ec_2Etoto_2Eapto_2E1_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29(mono_2Ec_2Etoto_2Eapto_2E0_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,X0_2E0) ) ).

tff(arityeq2_2Ec_2EternaryComparisons_2Ebool__compare_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Ebool,X1_2E0: mono_2Etyop_2Emin_2Ebool] : ( mono_2Ec_2EternaryComparisons_2Ebool__compare_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2EternaryComparisons_2Eordering(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29(mono_2Ec_2EternaryComparisons_2Ebool__compare_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq2_2Ec_2EternaryComparisons_2Echar__compare_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Estring_2Echar,X1_2E0: mono_2Etyop_2Estring_2Echar] : ( mono_2Ec_2EternaryComparisons_2Echar__compare_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2EternaryComparisons_2Eordering(mono_2Eapp_2E2_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29(mono_2Ec_2EternaryComparisons_2Echar__compare_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq3_2Ec_2Ecomparison_2Eequiv__inj_2E3_2Emono_2EA_27a_20mono_2EA_27b,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Eequiv__inj_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),X1_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X2_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Ebool))),c_2Ecomparison_2Eequiv__inj_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),X1_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),X2_2E0)))) ) ).

tff(arityeq1_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),c_2Ecomparison_2Egood__cmp_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0)))) ) ).

tff(arityeq1_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2EA_27b,axiom,
    ! [A_27b: d,X0_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),X0_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),c_2Ecomparison_2Egood__cmp_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),X0_2E0)))) ) ).

tff(arityeq1_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Emin_2Ebool,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29] : ( mono_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Emin_2Ebool(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ecomparison_2Egood__cmp_2E0_2Emono_2Etyop_2Emin_2Ebool,X0_2E0) ) ).

tff(arityeq1_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Estring_2Echar,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29] : ( mono_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Estring_2Echar(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ecomparison_2Egood__cmp_2E0_2Emono_2Etyop_2Estring_2Echar,X0_2E0) ) ).

tff(arityeq1_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Emin_2Efun_28A_27b_2CA_27c_29,axiom,
    ! [A_27b: d,A_27c: d,X0_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27c),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27c),tyop_2EternaryComparisons_2Eordering)),X0_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27c),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27c),tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),c_2Ecomparison_2Egood__cmp_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27c),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27c),tyop_2EternaryComparisons_2Eordering)),X0_2E0)))) ) ).

tff(arityeq1_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Elist_2Elist_28A_27a_29,axiom,
    ! [A_27a: d,X0_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2EternaryComparisons_2Eordering)),X0_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),c_2Ecomparison_2Egood__cmp_2E0),s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2EternaryComparisons_2Eordering)),X0_2E0)))) ) ).

tff(arityeq1_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29] : ( mono_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ecomparison_2Egood__cmp_2E0_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,X0_2E0) ) ).

tff(arityeq1_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29] : ( mono_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Enum_2Enum(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ecomparison_2Egood__cmp_2E0_2Emono_2Etyop_2Enum_2Enum,X0_2E0) ) ).

tff(arityeq1_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Eoption_2Eoption_28A_27a_29,axiom,
    ! [A_27a: d,X0_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering)),X0_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),c_2Ecomparison_2Egood__cmp_2E0),s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering)),X0_2E0)))) ) ).

tff(arityeq1_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Epair_2Eprod_28A_27a_2CA_27b_29,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2EternaryComparisons_2Eordering)),X0_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),c_2Ecomparison_2Egood__cmp_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2EternaryComparisons_2Eordering)),X0_2E0)))) ) ).

tff(arityeq1_2Ec_2Erelation_2Eirreflexive_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Erelation_2Eirreflexive_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),X0_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),c_2Erelation_2Eirreflexive_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),X0_2E0)))) ) ).

tff(arityeq2_2Ec_2Etoto_2ElexTO_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2EternaryComparisons_2Eordering)),c_2Etoto_2ElexTO_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),X1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2EternaryComparisons_2Eordering))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2EternaryComparisons_2Eordering)))),c_2Etoto_2ElexTO_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),X1_2E0))) ) ).

tff(arityeq1_2Ec_2EternaryComparisons_2Elist__compare_2E1_2Emono_2EA_27a_20mono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2EternaryComparisons_2Eordering)),c_2EternaryComparisons_2Elist__compare_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2EternaryComparisons_2Eordering))),c_2EternaryComparisons_2Elist__compare_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0))) ) ).

tff(arityeq3_2Ec_2EternaryComparisons_2Elist__compare_2E3_2Emono_2EA_27a_20mono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] : ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Elist__compare_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0),s(tyop_2Elist_2Elist(A_27a),X1_2E0),s(tyop_2Elist_2Elist(A_27a),X2_2E0)))) = j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2EternaryComparisons_2Eordering))),c_2EternaryComparisons_2Elist__compare_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0))),s(tyop_2Elist_2Elist(A_27a),X1_2E0))),s(tyop_2Elist_2Elist(A_27a),X2_2E0)))) ) ).

tff(arityeq3_2Ec_2EternaryComparisons_2Elist__compare_2E3_2Emono_2EA_27a_20mono_2EA_27b,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] : ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Elist__compare_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),X0_2E0),s(tyop_2Elist_2Elist(A_27a),X1_2E0),s(tyop_2Elist_2Elist(A_27b),X2_2E0)))) = j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27b),tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27b),tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27b),tyop_2EternaryComparisons_2Eordering))),c_2EternaryComparisons_2Elist__compare_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),X0_2E0))),s(tyop_2Elist_2Elist(A_27a),X1_2E0))),s(tyop_2Elist_2Elist(A_27b),X2_2E0)))) ) ).

tff(arityeq1_2Ec_2EternaryComparisons_2Elist__compare_2E1_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Estring_2Echar,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29] : ( mono_2Ec_2EternaryComparisons_2Elist__compare_2E1_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Estring_2Echar(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29(mono_2Ec_2EternaryComparisons_2Elist__compare_2E0_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Estring_2Echar,X0_2E0) ) ).

tff(arityeq2_2Ec_2EternaryComparisons_2Enum__compare_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Enum_2Enum,X1_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2EternaryComparisons_2Enum__compare_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2EternaryComparisons_2Eordering(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29(mono_2Ec_2EternaryComparisons_2Enum__compare_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq2_2Ec_2Ecombin_2Eo_2E2_2Emono_2Etyop_2Epair_2Eprod_28A_27a_2CA_27a_29_20mono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2EternaryComparisons_2Eordering,axiom,
    ! [A_27a: d,X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29,X1_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2EternaryComparisons_2Eordering),c_2Ecombin_2Eo_2E2(s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering),i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29(X0_2E0)),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2EternaryComparisons_2Eordering),X1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2EternaryComparisons_2Eordering),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2EternaryComparisons_2Eordering),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2EternaryComparisons_2Eordering))),c_2Ecombin_2Eo_2E0),s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering),i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29(X0_2E0)))),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2EternaryComparisons_2Eordering),X1_2E0))) ) ).

tff(arityeq1_2Ec_2Ecomparison_2Eoption__cmp2_2E1_2Emono_2EA_27a_20mono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering)),c_2Ecomparison_2Eoption__cmp2_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering))),c_2Ecomparison_2Eoption__cmp2_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0))) ) ).

tff(arityeq3_2Ec_2Ecomparison_2Eoption__cmp2_2E3_2Emono_2EA_27a_20mono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] : ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2Ecomparison_2Eoption__cmp2_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0),s(tyop_2Eoption_2Eoption(A_27a),X1_2E0),s(tyop_2Eoption_2Eoption(A_27a),X2_2E0)))) = j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering))),c_2Ecomparison_2Eoption__cmp2_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0))),s(tyop_2Eoption_2Eoption(A_27a),X1_2E0))),s(tyop_2Eoption_2Eoption(A_27a),X2_2E0)))) ) ).

tff(arityeq3_2Ec_2Ecomparison_2Eoption__cmp2_2E3_2Emono_2EA_27a_20mono_2EA_27b,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] : ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2Ecomparison_2Eoption__cmp2_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),X0_2E0),s(tyop_2Eoption_2Eoption(A_27a),X1_2E0),s(tyop_2Eoption_2Eoption(A_27b),X2_2E0)))) = j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27b),tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27b),tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27b),tyop_2EternaryComparisons_2Eordering))),c_2Ecomparison_2Eoption__cmp2_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),X0_2E0))),s(tyop_2Eoption_2Eoption(A_27a),X1_2E0))),s(tyop_2Eoption_2Eoption(A_27b),X2_2E0)))) ) ).

tff(arityeq1_2Ec_2EternaryComparisons_2Eoption__compare_2E1_2Emono_2EA_27a_20mono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering)),c_2EternaryComparisons_2Eoption__compare_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering))),c_2EternaryComparisons_2Eoption__compare_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0))) ) ).

tff(arityeq3_2Ec_2EternaryComparisons_2Eoption__compare_2E3_2Emono_2EA_27a_20mono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] : ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Eoption__compare_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0),s(tyop_2Eoption_2Eoption(A_27a),X1_2E0),s(tyop_2Eoption_2Eoption(A_27a),X2_2E0)))) = j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering))),c_2EternaryComparisons_2Eoption__compare_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0))),s(tyop_2Eoption_2Eoption(A_27a),X1_2E0))),s(tyop_2Eoption_2Eoption(A_27a),X2_2E0)))) ) ).

tff(arityeq3_2Ec_2EternaryComparisons_2Eoption__compare_2E3_2Emono_2EA_27a_20mono_2EA_27b,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] : ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Eoption__compare_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),X0_2E0),s(tyop_2Eoption_2Eoption(A_27a),X1_2E0),s(tyop_2Eoption_2Eoption(A_27b),X2_2E0)))) = j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27b),tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27b),tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27b),tyop_2EternaryComparisons_2Eordering))),c_2EternaryComparisons_2Eoption__compare_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),X0_2E0))),s(tyop_2Eoption_2Eoption(A_27a),X1_2E0))),s(tyop_2Eoption_2Eoption(A_27b),X2_2E0)))) ) ).

tff(arityeq4_2Ec_2EternaryComparisons_2Eordering__CASE_2E4_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: mono_2Etyop_2EternaryComparisons_2Eordering,X1_2E0: u,X2_2E0: u,X3_2E0: u] : ( s(A_27a,c_2EternaryComparisons_2Eordering__CASE_2E4(s(tyop_2EternaryComparisons_2Eordering,i_mono_2Etyop_2EternaryComparisons_2Eordering(X0_2E0)),s(A_27a,X1_2E0),s(A_27a,X2_2E0),s(A_27a,X3_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,A_27a)),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,A_27a))),app_2E2(s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,A_27a)))),c_2EternaryComparisons_2Eordering__CASE_2E0),s(tyop_2EternaryComparisons_2Eordering,i_mono_2Etyop_2EternaryComparisons_2Eordering(X0_2E0)))),s(A_27a,X1_2E0))),s(A_27a,X2_2E0))),s(A_27a,X3_2E0))) ) ).

tff(arityeq4_2Ec_2EternaryComparisons_2Eordering__CASE_2E4_2Emono_2Etyop_2EternaryComparisons_2Eordering,axiom,
    ! [X0_2E0: mono_2Etyop_2EternaryComparisons_2Eordering,X1_2E0: mono_2Etyop_2EternaryComparisons_2Eordering,X2_2E0: mono_2Etyop_2EternaryComparisons_2Eordering,X3_2E0: mono_2Etyop_2EternaryComparisons_2Eordering] : ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2E4_2Emono_2Etyop_2EternaryComparisons_2Eordering(X0_2E0,X1_2E0,X2_2E0,X3_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2EternaryComparisons_2Eordering(mono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29(mono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(mono_2Ec_2EternaryComparisons_2Eordering__CASE_2E0_2Emono_2Etyop_2EternaryComparisons_2Eordering,X0_2E0),X1_2E0),X2_2E0),X3_2E0) ) ).

tff(arityeq2_2Ec_2EternaryComparisons_2Epair__compare_2E2_2Emono_2EA_27a_20mono_2EA_27a_20mono_2EA_27b_20mono_2EA_27b,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2EternaryComparisons_2Eordering)),c_2EternaryComparisons_2Epair__compare_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),X1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2EternaryComparisons_2Eordering))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2EternaryComparisons_2Eordering)))),c_2EternaryComparisons_2Epair__compare_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),X1_2E0))) ) ).

tff(arityeq4_2Ec_2EternaryComparisons_2Epair__compare_2E4_2Emono_2EA_27a_20mono_2EA_27a_20mono_2EA_27b_20mono_2EA_27b,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u,X2_2E0: u,X3_2E0: u] : ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Epair__compare_2E4(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),X1_2E0),s(tyop_2Epair_2Eprod(A_27a,A_27b),X2_2E0),s(tyop_2Epair_2Eprod(A_27a,A_27b),X3_2E0)))) = j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2EternaryComparisons_2Eordering))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2EternaryComparisons_2Eordering)))),c_2EternaryComparisons_2Epair__compare_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),X1_2E0))),s(tyop_2Epair_2Eprod(A_27a,A_27b),X2_2E0))),s(tyop_2Epair_2Eprod(A_27a,A_27b),X3_2E0)))) ) ).

tff(arityeq4_2Ec_2EternaryComparisons_2Epair__compare_2E4_2Emono_2EA_27a_20mono_2EA_27b_20mono_2EA_27c_20mono_2EA_27d,axiom,
    ! [A_27a: d,A_27b: d,A_27c: d,A_27d: d,X0_2E0: u,X1_2E0: u,X2_2E0: u,X3_2E0: u] : ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Epair__compare_2E4(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),X0_2E0),s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Efun(A_27d,tyop_2EternaryComparisons_2Eordering)),X1_2E0),s(tyop_2Epair_2Eprod(A_27a,A_27c),X2_2E0),s(tyop_2Epair_2Eprod(A_27b,A_27d),X3_2E0)))) = j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27b,A_27d),tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27c),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27b,A_27d),tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Efun(A_27d,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27c),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27b,A_27d),tyop_2EternaryComparisons_2Eordering))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Efun(A_27d,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27c),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27b,A_27d),tyop_2EternaryComparisons_2Eordering)))),c_2EternaryComparisons_2Epair__compare_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),X0_2E0))),s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Efun(A_27d,tyop_2EternaryComparisons_2Eordering)),X1_2E0))),s(tyop_2Epair_2Eprod(A_27a,A_27c),X2_2E0))),s(tyop_2Epair_2Eprod(A_27b,A_27d),X3_2E0)))) ) ).

tff(arityeq2_2Ec_2Ecomparison_2Eresp__equiv_2E2_2Emono_2EA_27a_20mono_2EA_27b_20mono_2EA_27c,axiom,
    ! [A_27a: d,A_27b: d,A_27c: d,X0_2E0: u,X1_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Eresp__equiv_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),X1_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Ebool)),c_2Ecomparison_2Eresp__equiv_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),X1_2E0)))) ) ).

tff(arityeq3_2Ec_2Ecomparison_2Eresp__equiv2_2E3_2Emono_2EA_27a_20mono_2EA_27b,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Eresp__equiv2_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),X1_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X2_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Ebool))),c_2Ecomparison_2Eresp__equiv2_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),X1_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),X2_2E0)))) ) ).

tff(arityeq3_2Ec_2Ecomparison_2Eresp__equiv2_2E3_2Emono_2EA_27a_20mono_2Etyop_2Emin_2Efun_28A_27b_2CA_27c_29,axiom,
    ! [A_27a: d,A_27b: d,A_27c: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Eresp__equiv2_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27c),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27c),tyop_2EternaryComparisons_2Eordering)),X1_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),X2_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27c),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27c),tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27c),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27c),tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Ebool))),c_2Ecomparison_2Eresp__equiv2_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27c),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27c),tyop_2EternaryComparisons_2Eordering)),X1_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),X2_2E0)))) ) ).

tff(arityeq2_2Ec_2EternaryComparisons_2Estring__compare_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,X1_2E0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] : ( mono_2Ec_2EternaryComparisons_2Estring__compare_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2EternaryComparisons_2Eordering(mono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29(mono_2Ec_2EternaryComparisons_2Estring__compare_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq1_2Ec_2Erelation_2Etransitive_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Erelation_2Etransitive_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),X0_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),c_2Erelation_2Etransitive_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),X0_2E0)))) ) ).

tff(arityeq1_2Ec_2Erelation_2Etransitive_2E1_2Emono_2Etyop_2Epair_2Eprod_28A_27a_2CA_27b_29,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Erelation_2Etransitive_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool)),X0_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),c_2Erelation_2Etransitive_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool)),X0_2E0)))) ) ).

tff(arityeq1_2Ec_2Ebool_2E_7E_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Ebool] :
      ( ~ p(X0_2E0)
    <=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2E_7E_2E0,X0_2E0)) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Ebool] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Emin_2Ebool] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29,V1_2E0: mono_2Etyop_2Emin_2Ebool] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2EternaryComparisons_2Eordering),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29(V0_2E0)),s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,V1_2E0: mono_2Etyop_2Emin_2Ebool] : ( s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(V0_2E0)),s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2EternaryComparisons_2Eordering,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29,V1_2E0: mono_2Etyop_2Emin_2Ebool] : ( s(tyop_2EternaryComparisons_2Eordering,i_mono_2Etyop_2EternaryComparisons_2Eordering(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2EternaryComparisons_2Eordering(V0_2E0,V1_2E0))) = s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2EternaryComparisons_2Eordering),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29(V0_2E0)),s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29,V1_2E0: mono_2Etyop_2Estring_2Echar] : ( s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering),i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29(mono_2Eapp_2E2_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29(V0_2E0)),s(tyop_2Estring_2Echar,i_mono_2Etyop_2Estring_2Echar(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Enum_2Enum,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29,V1_2E0: mono_2Etyop_2Estring_2Echar] : ( s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Enum_2Enum(V0_2E0,V1_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Enum_2Enum),i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29(V0_2E0)),s(tyop_2Estring_2Echar,i_mono_2Etyop_2Estring_2Echar(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2EternaryComparisons_2Eordering,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29,V1_2E0: mono_2Etyop_2Estring_2Echar] : ( s(tyop_2EternaryComparisons_2Eordering,i_mono_2Etyop_2EternaryComparisons_2Eordering(mono_2Eapp_2E2_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2EternaryComparisons_2Eordering(V0_2E0,V1_2E0))) = s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering),i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29(V0_2E0)),s(tyop_2Estring_2Echar,i_mono_2Etyop_2Estring_2Echar(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29] : ( s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29,V1_2E0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] : ( s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering),i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29(mono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29(V0_2E0)),s(tyop_2Elist_2Elist(tyop_2Estring_2Echar),i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2EternaryComparisons_2Eordering,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29,V1_2E0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] : ( s(tyop_2EternaryComparisons_2Eordering,i_mono_2Etyop_2EternaryComparisons_2Eordering(mono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_20mono_2Etyop_2EternaryComparisons_2Eordering(V0_2E0,V1_2E0))) = s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering),i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29(V0_2E0)),s(tyop_2Elist_2Elist(tyop_2Estring_2Echar),i_mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Enum_2Enum] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Enum_2Enum] : ( s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29,V1_2E0: mono_2Etyop_2Enum_2Enum] : ( s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2EternaryComparisons_2Eordering),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29(V0_2E0)),s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2EternaryComparisons_2Eordering,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29,V1_2E0: mono_2Etyop_2Enum_2Enum] : ( s(tyop_2EternaryComparisons_2Eordering,i_mono_2Etyop_2EternaryComparisons_2Eordering(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2EternaryComparisons_2Eordering(V0_2E0,V1_2E0))) = s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2EternaryComparisons_2Eordering),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29(V0_2E0)),s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29_29,V1_2E0: mono_2Etyop_2EternaryComparisons_2Eordering] : ( s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering))),i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering))),app_2E2(s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering)))),i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29_29(V0_2E0)),s(tyop_2EternaryComparisons_2Eordering,i_mono_2Etyop_2EternaryComparisons_2Eordering(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,V1_2E0: mono_2Etyop_2EternaryComparisons_2Eordering] : ( s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering))),i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(V0_2E0)),s(tyop_2EternaryComparisons_2Eordering,i_mono_2Etyop_2EternaryComparisons_2Eordering(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29,V1_2E0: mono_2Etyop_2EternaryComparisons_2Eordering] : ( s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering),i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29(mono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29(V0_2E0)),s(tyop_2EternaryComparisons_2Eordering,i_mono_2Etyop_2EternaryComparisons_2Eordering(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2EternaryComparisons_2Eordering,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29,V1_2E0: mono_2Etyop_2EternaryComparisons_2Eordering] : ( s(tyop_2EternaryComparisons_2Eordering,i_mono_2Etyop_2EternaryComparisons_2Eordering(mono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2EternaryComparisons_2Eordering(V0_2E0,V1_2E0))) = s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering),i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29(V0_2E0)),s(tyop_2EternaryComparisons_2Eordering,i_mono_2Etyop_2EternaryComparisons_2Eordering(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,V1_2E0: mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29] : ( s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Etoto_2Etoto(tyop_2Elist_2Elist(tyop_2Estring_2Echar)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(V0_2E0)),s(tyop_2Etoto_2Etoto(tyop_2Elist_2Elist(tyop_2Estring_2Echar)),i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2EternaryComparisons_2Eordering,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2EternaryComparisons_2Eordering)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering))),c_2Ebool_2ECOND_2E0) ).

tff(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2EternaryComparisons_2Eordering,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Ebool,V1_2E0: mono_2Etyop_2EternaryComparisons_2Eordering,V2_2E0: mono_2Etyop_2EternaryComparisons_2Eordering] : ( s(tyop_2EternaryComparisons_2Eordering,i_mono_2Etyop_2EternaryComparisons_2Eordering(mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2EternaryComparisons_2Eordering(V0_2E0,V1_2E0,V2_2E0))) = s(tyop_2EternaryComparisons_2Eordering,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(V0_2E0)),s(tyop_2EternaryComparisons_2Eordering,i_mono_2Etyop_2EternaryComparisons_2Eordering(V1_2E0)),s(tyop_2EternaryComparisons_2Eordering,i_mono_2Etyop_2EternaryComparisons_2Eordering(V2_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2Etoto_2Eapto_2E0_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,axiom,
    s(tyop_2Emin_2Efun(tyop_2Etoto_2Etoto(tyop_2Elist_2Elist(tyop_2Estring_2Echar)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(mono_2Ec_2Etoto_2Eapto_2E0_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29)) = s(tyop_2Emin_2Efun(tyop_2Etoto_2Etoto(tyop_2Elist_2Elist(tyop_2Estring_2Echar)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering))),c_2Etoto_2Eapto_2E0) ).

tff(monoeq_2Emono_2Ec_2Etoto_2Eapto_2E1_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29] : ( s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29(mono_2Ec_2Etoto_2Eapto_2E1_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29(V0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering)),c_2Etoto_2Eapto_2E1(s(tyop_2Etoto_2Etoto(tyop_2Elist_2Elist(tyop_2Estring_2Echar)),i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29(V0_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2Ecomparison_2Egood__cmp_2E0_2Emono_2Etyop_2Emin_2Ebool,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ecomparison_2Egood__cmp_2E0_2Emono_2Etyop_2Emin_2Ebool)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),c_2Ecomparison_2Egood__cmp_2E0) ).

tff(monoeq_2Emono_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Emin_2Ebool(V0_2E0))) = s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EternaryComparisons_2Eordering_29_29(V0_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2Ecomparison_2Egood__cmp_2E0_2Emono_2Etyop_2Estring_2Echar,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ecomparison_2Egood__cmp_2E0_2Emono_2Etyop_2Estring_2Echar)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),c_2Ecomparison_2Egood__cmp_2E0) ).

tff(monoeq_2Emono_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Estring_2Echar,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Estring_2Echar(V0_2E0))) = s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29(V0_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2Ecomparison_2Egood__cmp_2E0_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ecomparison_2Egood__cmp_2E0_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),c_2Ecomparison_2Egood__cmp_2E0) ).

tff(monoeq_2Emono_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29(V0_2E0))) = s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29(V0_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2Ecomparison_2Egood__cmp_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ecomparison_2Egood__cmp_2E0_2Emono_2Etyop_2Enum_2Enum)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Ebool),c_2Ecomparison_2Egood__cmp_2E0) ).

tff(monoeq_2Emono_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Enum_2Enum(V0_2E0))) = s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29(V0_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2EternaryComparisons_2Elist__compare_2E0_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Estring_2Echar,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29(mono_2Ec_2EternaryComparisons_2Elist__compare_2E0_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Estring_2Echar)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering))),c_2EternaryComparisons_2Elist__compare_2E0) ).

tff(monoeq_2Emono_2Ec_2EternaryComparisons_2Elist__compare_2E1_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Estring_2Echar,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29] : ( s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_2Ctyop_2EternaryComparisons_2Eordering_29_29(mono_2Ec_2EternaryComparisons_2Elist__compare_2E1_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Estring_2Echar(V0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2EternaryComparisons_2Eordering)),c_2EternaryComparisons_2Elist__compare_2E1(s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2EternaryComparisons_2Eordering)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29(V0_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2EternaryComparisons_2Eordering__CASE_2E0_2Emono_2Etyop_2EternaryComparisons_2Eordering,axiom,
    s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering)))),i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29_29_29(mono_2Ec_2EternaryComparisons_2Eordering__CASE_2E0_2Emono_2Etyop_2EternaryComparisons_2Eordering)) = s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering)))),c_2EternaryComparisons_2Eordering__CASE_2E0) ).

tff(monoeq_2Emono_2Ec_2EternaryComparisons_2Eordering__CASE_2E4_2Emono_2Etyop_2EternaryComparisons_2Eordering,axiom,
    ! [V0_2E0: mono_2Etyop_2EternaryComparisons_2Eordering,V1_2E0: mono_2Etyop_2EternaryComparisons_2Eordering,V2_2E0: mono_2Etyop_2EternaryComparisons_2Eordering,V3_2E0: mono_2Etyop_2EternaryComparisons_2Eordering] : ( s(tyop_2EternaryComparisons_2Eordering,i_mono_2Etyop_2EternaryComparisons_2Eordering(mono_2Ec_2EternaryComparisons_2Eordering__CASE_2E4_2Emono_2Etyop_2EternaryComparisons_2Eordering(V0_2E0,V1_2E0,V2_2E0,V3_2E0))) = s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Eordering__CASE_2E4(s(tyop_2EternaryComparisons_2Eordering,i_mono_2Etyop_2EternaryComparisons_2Eordering(V0_2E0)),s(tyop_2EternaryComparisons_2Eordering,i_mono_2Etyop_2EternaryComparisons_2Eordering(V1_2E0)),s(tyop_2EternaryComparisons_2Eordering,i_mono_2Etyop_2EternaryComparisons_2Eordering(V2_2E0)),s(tyop_2EternaryComparisons_2Eordering,i_mono_2Etyop_2EternaryComparisons_2Eordering(V3_2E0)))) ) ).

tff(thm_2Ecomparison_2Egood__cmp__def,axiom,
    ! [A_27a: d,V0cmp_2E0: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0)))))
    <=> ( ! [V1x_2E0: u] : ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V1x_2E0))),s(A_27a,V1x_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
        & ! [V2x_2E0: u,V3y_2E0: u] :
            ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V2x_2E0))),s(A_27a,V3y_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
           => ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V3y_2E0))),s(A_27a,V2x_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 ) )
        & ! [V4x_2E0: u,V5y_2E0: u] :
            ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V4x_2E0))),s(A_27a,V5y_2E0)))) = mono_2Ec_2EternaryComparisons_2EGREATER_2E0 )
          <=> ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V5y_2E0))),s(A_27a,V4x_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 ) )
        & ! [V6x_2E0: u,V7y_2E0: u,V8z_2E0: u] :
            ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V6x_2E0))),s(A_27a,V7y_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
              & ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V7y_2E0))),s(A_27a,V8z_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 ) )
           => ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V6x_2E0))),s(A_27a,V8z_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 ) )
        & ! [V9x_2E0: u,V10y_2E0: u,V11z_2E0: u] :
            ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V9x_2E0))),s(A_27a,V10y_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 )
              & ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V10y_2E0))),s(A_27a,V11z_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 ) )
           => ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V9x_2E0))),s(A_27a,V11z_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 ) )
        & ! [V12x_2E0: u,V13y_2E0: u,V14z_2E0: u] :
            ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V12x_2E0))),s(A_27a,V13y_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
              & ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V13y_2E0))),s(A_27a,V14z_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 ) )
           => ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V12x_2E0))),s(A_27a,V14z_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 ) )
        & ! [V15x_2E0: u,V16y_2E0: u,V17z_2E0: u] :
            ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V15x_2E0))),s(A_27a,V16y_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 )
              & ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V16y_2E0))),s(A_27a,V17z_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 ) )
           => ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V15x_2E0))),s(A_27a,V17z_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 ) ) ) ) ).

tff(thm_2Ecomparison_2Eresp__equiv__def,axiom,
    ! [A_27a: d,A_27b: d,A_27c: d,V0cmp_2E0: u,V1f_2E0: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Eresp__equiv_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V1f_2E0)))))
    <=> ! [V2k1_2E0: u,V3k2_2E0: u,V4v_2E0: u] :
          ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V2k1_2E0))),s(A_27a,V3k2_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
         => ( s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27c),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V1f_2E0),s(A_27a,V2k1_2E0))),s(A_27b,V4v_2E0))) = s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27c),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V1f_2E0),s(A_27a,V3k2_2E0))),s(A_27b,V4v_2E0))) ) ) ) ).

tff(thm_2Ecomparison_2Eresp__equiv2__def,axiom,
    ! [A_27a: d,A_27b: d,V0cmp_2E0: u,V1cmp2_2E0: u,V2f_2E0: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Eresp__equiv2_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V1cmp2_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),V2f_2E0)))))
    <=> ! [V3k1_2E0: u,V4k2_2E0: u] :
          ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V3k1_2E0))),s(A_27a,V4k2_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
         => ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V1cmp2_2E0),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V2f_2E0),s(A_27a,V3k1_2E0))))),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V2f_2E0),s(A_27a,V4k2_2E0)))))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 ) ) ) ).

tff(thm_2Ecomparison_2Eequiv__inj__def,axiom,
    ! [A_27a: d,A_27b: d,V0cmp_2E0: u,V1cmp2_2E0: u,V2f_2E0: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Eequiv__inj_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V1cmp2_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),V2f_2E0)))))
    <=> ! [V3k1_2E0: u,V4k2_2E0: u] :
          ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V1cmp2_2E0),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V2f_2E0),s(A_27a,V3k1_2E0))))),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V2f_2E0),s(A_27a,V4k2_2E0)))))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
         => ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V3k1_2E0))),s(A_27a,V4k2_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 ) ) ) ).

tff(thm_2Ecomparison_2Egood__cmp__thm,axiom,
    ! [A_27a: d,V0cmp_2E0: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0)))))
    <=> ( ! [V1x_2E0: u] : ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V1x_2E0))),s(A_27a,V1x_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
        & ! [V2x_2E0: u,V3y_2E0: u,V4z_2E0: u] :
            ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V2x_2E0))),s(A_27a,V3y_2E0)))) = mono_2Ec_2EternaryComparisons_2EGREATER_2E0 )
            <=> ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V3y_2E0))),s(A_27a,V2x_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 ) )
            & ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V2x_2E0))),s(A_27a,V3y_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 )
                & ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V3y_2E0))),s(A_27a,V4z_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 ) )
             => ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V2x_2E0))),s(A_27a,V4z_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 ) )
            & ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V2x_2E0))),s(A_27a,V3y_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 )
                & ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V3y_2E0))),s(A_27a,V4z_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 ) )
             => ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V2x_2E0))),s(A_27a,V4z_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 ) ) ) ) ) ).

tff(thm_2Ecomparison_2Ecmp__thms,axiom,
    ! [A_27a: d] :
      ( ( mono_2Ec_2EternaryComparisons_2ELESS_2E0 != mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
      & ( mono_2Ec_2EternaryComparisons_2ELESS_2E0 != mono_2Ec_2EternaryComparisons_2EGREATER_2E0 )
      & ( mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 != mono_2Ec_2EternaryComparisons_2EGREATER_2E0 )
      & ! [V0v0_2E0: u,V1v1_2E0: u,V2v2_2E0: u] : ( s(A_27a,c_2EternaryComparisons_2Eordering__CASE_2E4(s(tyop_2EternaryComparisons_2Eordering,i_mono_2Etyop_2EternaryComparisons_2Eordering(mono_2Ec_2EternaryComparisons_2ELESS_2E0)),s(A_27a,V0v0_2E0),s(A_27a,V1v1_2E0),s(A_27a,V2v2_2E0))) = s(A_27a,V0v0_2E0) )
      & ! [V3v0_2E0: u,V4v1_2E0: u,V5v2_2E0: u] : ( s(A_27a,c_2EternaryComparisons_2Eordering__CASE_2E4(s(tyop_2EternaryComparisons_2Eordering,i_mono_2Etyop_2EternaryComparisons_2Eordering(mono_2Ec_2EternaryComparisons_2EEQUAL_2E0)),s(A_27a,V3v0_2E0),s(A_27a,V4v1_2E0),s(A_27a,V5v2_2E0))) = s(A_27a,V4v1_2E0) )
      & ! [V6v0_2E0: u,V7v1_2E0: u,V8v2_2E0: u] : ( s(A_27a,c_2EternaryComparisons_2Eordering__CASE_2E4(s(tyop_2EternaryComparisons_2Eordering,i_mono_2Etyop_2EternaryComparisons_2Eordering(mono_2Ec_2EternaryComparisons_2EGREATER_2E0)),s(A_27a,V6v0_2E0),s(A_27a,V7v1_2E0),s(A_27a,V8v2_2E0))) = s(A_27a,V8v2_2E0) )
      & ! [V9a_2E0: mono_2Etyop_2EternaryComparisons_2Eordering] :
          ( ( V9a_2E0 = mono_2Ec_2EternaryComparisons_2ELESS_2E0 )
          | ( V9a_2E0 = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
          | ( V9a_2E0 = mono_2Ec_2EternaryComparisons_2EGREATER_2E0 ) )
      & ! [V10cmp_2E0: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V10cmp_2E0)))))
        <=> ( ! [V11x_2E0: u] : ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V10cmp_2E0),s(A_27a,V11x_2E0))),s(A_27a,V11x_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
            & ! [V12x_2E0: u,V13y_2E0: u] :
                ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V10cmp_2E0),s(A_27a,V12x_2E0))),s(A_27a,V13y_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
               => ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V10cmp_2E0),s(A_27a,V13y_2E0))),s(A_27a,V12x_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 ) )
            & ! [V14x_2E0: u,V15y_2E0: u] :
                ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V10cmp_2E0),s(A_27a,V14x_2E0))),s(A_27a,V15y_2E0)))) = mono_2Ec_2EternaryComparisons_2EGREATER_2E0 )
              <=> ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V10cmp_2E0),s(A_27a,V15y_2E0))),s(A_27a,V14x_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 ) )
            & ! [V16x_2E0: u,V17y_2E0: u,V18z_2E0: u] :
                ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V10cmp_2E0),s(A_27a,V16x_2E0))),s(A_27a,V17y_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
                  & ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V10cmp_2E0),s(A_27a,V17y_2E0))),s(A_27a,V18z_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 ) )
               => ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V10cmp_2E0),s(A_27a,V16x_2E0))),s(A_27a,V18z_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 ) )
            & ! [V19x_2E0: u,V20y_2E0: u,V21z_2E0: u] :
                ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V10cmp_2E0),s(A_27a,V19x_2E0))),s(A_27a,V20y_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 )
                  & ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V10cmp_2E0),s(A_27a,V20y_2E0))),s(A_27a,V21z_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 ) )
               => ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V10cmp_2E0),s(A_27a,V19x_2E0))),s(A_27a,V21z_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 ) )
            & ! [V22x_2E0: u,V23y_2E0: u,V24z_2E0: u] :
                ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V10cmp_2E0),s(A_27a,V22x_2E0))),s(A_27a,V23y_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
                  & ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V10cmp_2E0),s(A_27a,V23y_2E0))),s(A_27a,V24z_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 ) )
               => ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V10cmp_2E0),s(A_27a,V22x_2E0))),s(A_27a,V24z_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 ) )
            & ! [V25x_2E0: u,V26y_2E0: u,V27z_2E0: u] :
                ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V10cmp_2E0),s(A_27a,V25x_2E0))),s(A_27a,V26y_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 )
                  & ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V10cmp_2E0),s(A_27a,V26y_2E0))),s(A_27a,V27z_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 ) )
               => ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V10cmp_2E0),s(A_27a,V25x_2E0))),s(A_27a,V27z_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 ) ) ) ) ) ).

tff(thm_2Ecomparison_2Eoption__cmp__def,axiom,
    ! [A_27a: d,A_27b: d,V0v3_2E0: u,V1v2_2E0: u,V2v1_2E0: u,V3v0_2E0: u,V4c_2E0: u] :
      ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Eoption__compare_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V4c_2E0),s(tyop_2Eoption_2Eoption(A_27a),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(A_27b),c_2Eoption_2ENONE_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
      & ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Eoption__compare_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V4c_2E0),s(tyop_2Eoption_2Eoption(A_27a),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(A_27b),c_2Eoption_2ESOME_2E1(s(A_27b,V3v0_2E0)))))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 )
      & ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Eoption__compare_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V4c_2E0),s(tyop_2Eoption_2Eoption(A_27a),c_2Eoption_2ESOME_2E1(s(A_27a,V0v3_2E0))),s(tyop_2Eoption_2Eoption(A_27b),c_2Eoption_2ENONE_2E0)))) = mono_2Ec_2EternaryComparisons_2EGREATER_2E0 )
      & ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Eoption__compare_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V4c_2E0),s(tyop_2Eoption_2Eoption(A_27a),c_2Eoption_2ESOME_2E1(s(A_27a,V2v1_2E0))),s(tyop_2Eoption_2Eoption(A_27b),c_2Eoption_2ESOME_2E1(s(A_27b,V1v2_2E0)))))) = j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V4c_2E0),s(A_27a,V2v1_2E0))),s(A_27b,V1v2_2E0)))) ) ) ).

tff(thm_2Ecomparison_2Eoption__cmp2__ind,axiom,
    ! [A_27a: d,A_27b: d,V0P_2E0: u] :
      ( ( ! [V1c_2E0: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27b),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27b),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27b),tyop_2Emin_2Ebool))),V0P_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V1c_2E0))),s(tyop_2Eoption_2Eoption(A_27a),c_2Eoption_2ENONE_2E0))),s(tyop_2Eoption_2Eoption(A_27b),c_2Eoption_2ENONE_2E0)))))
        & ! [V2c_2E0: u,V3v0_2E0: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27b),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27b),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27b),tyop_2Emin_2Ebool))),V0P_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V2c_2E0))),s(tyop_2Eoption_2Eoption(A_27a),c_2Eoption_2ENONE_2E0))),s(tyop_2Eoption_2Eoption(A_27b),c_2Eoption_2ESOME_2E1(s(A_27b,V3v0_2E0)))))))
        & ! [V4c_2E0: u,V5v3_2E0: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27b),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27b),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27b),tyop_2Emin_2Ebool))),V0P_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V4c_2E0))),s(tyop_2Eoption_2Eoption(A_27a),c_2Eoption_2ESOME_2E1(s(A_27a,V5v3_2E0))))),s(tyop_2Eoption_2Eoption(A_27b),c_2Eoption_2ENONE_2E0)))))
        & ! [V6c_2E0: u,V7v1_2E0: u,V8v2_2E0: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27b),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27b),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27b),tyop_2Emin_2Ebool))),V0P_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V6c_2E0))),s(tyop_2Eoption_2Eoption(A_27a),c_2Eoption_2ESOME_2E1(s(A_27a,V7v1_2E0))))),s(tyop_2Eoption_2Eoption(A_27b),c_2Eoption_2ESOME_2E1(s(A_27b,V8v2_2E0))))))) )
     => ! [V9v_2E0: u,V10v1_2E0: u,V11v2_2E0: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27b),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27b),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27b),tyop_2Emin_2Ebool))),V0P_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V9v_2E0))),s(tyop_2Eoption_2Eoption(A_27a),V10v1_2E0))),s(tyop_2Eoption_2Eoption(A_27b),V11v2_2E0))))) ) ).

tff(thm_2Ecomparison_2Eoption__cmp2__def,axiom,
    ! [A_27a: d,A_27b: d,V0y_2E0: u,V1x_27_2E0: u,V2x_2E0: u,V3cmp_2E0: u] :
      ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2Ecomparison_2Eoption__cmp2_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V3cmp_2E0),s(tyop_2Eoption_2Eoption(A_27a),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(A_27b),c_2Eoption_2ENONE_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
      & ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2Ecomparison_2Eoption__cmp2_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V3cmp_2E0),s(tyop_2Eoption_2Eoption(A_27a),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(A_27b),c_2Eoption_2ESOME_2E1(s(A_27b,V1x_27_2E0)))))) = mono_2Ec_2EternaryComparisons_2EGREATER_2E0 )
      & ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2Ecomparison_2Eoption__cmp2_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V3cmp_2E0),s(tyop_2Eoption_2Eoption(A_27a),c_2Eoption_2ESOME_2E1(s(A_27a,V2x_2E0))),s(tyop_2Eoption_2Eoption(A_27b),c_2Eoption_2ENONE_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 )
      & ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2Ecomparison_2Eoption__cmp2_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V3cmp_2E0),s(tyop_2Eoption_2Eoption(A_27a),c_2Eoption_2ESOME_2E1(s(A_27a,V2x_2E0))),s(tyop_2Eoption_2Eoption(A_27b),c_2Eoption_2ESOME_2E1(s(A_27b,V0y_2E0)))))) = j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V3cmp_2E0),s(A_27a,V2x_2E0))),s(A_27b,V0y_2E0)))) ) ) ).

tff(thm_2Ecomparison_2Epair__cmp__def,axiom,
    ! [A_27a: d,A_27b: d,A_27c: d,A_27d: d,V0y_2E0: u,V1x_2E0: u,V2c2_2E0: u,V3c1_2E0: u] : ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Epair__compare_2E4(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V3c1_2E0),s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Efun(A_27d,tyop_2EternaryComparisons_2Eordering)),V2c2_2E0),s(tyop_2Epair_2Eprod(A_27a,A_27c),V1x_2E0),s(tyop_2Epair_2Eprod(A_27b,A_27d),V0y_2E0)))) = mono_2Ec_2EternaryComparisons_2Eordering__CASE_2E4_2Emono_2Etyop_2EternaryComparisons_2Eordering(j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V3c1_2E0),s(A_27a,c_2Epair_2EFST_2E1(s(tyop_2Epair_2Eprod(A_27a,A_27c),V1x_2E0))))),s(A_27b,c_2Epair_2EFST_2E1(s(tyop_2Epair_2Eprod(A_27b,A_27d),V0y_2E0)))))),mono_2Ec_2EternaryComparisons_2ELESS_2E0,j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27d,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Efun(A_27d,tyop_2EternaryComparisons_2Eordering)),V2c2_2E0),s(A_27c,c_2Epair_2ESND_2E1(s(tyop_2Epair_2Eprod(A_27a,A_27c),V1x_2E0))))),s(A_27d,c_2Epair_2ESND_2E1(s(tyop_2Epair_2Eprod(A_27b,A_27d),V0y_2E0)))))),mono_2Ec_2EternaryComparisons_2EGREATER_2E0) ) ).

tff(thm_2Ecomparison_2Ebool__cmp__def,axiom,
    ( ( mono_2Ec_2EternaryComparisons_2Ebool__compare_2E2(mono_2Ec_2Ebool_2ET_2E0,mono_2Ec_2Ebool_2ET_2E0) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
    & ( mono_2Ec_2EternaryComparisons_2Ebool__compare_2E2(mono_2Ec_2Ebool_2EF_2E0,mono_2Ec_2Ebool_2EF_2E0) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
    & ( mono_2Ec_2EternaryComparisons_2Ebool__compare_2E2(mono_2Ec_2Ebool_2ET_2E0,mono_2Ec_2Ebool_2EF_2E0) = mono_2Ec_2EternaryComparisons_2EGREATER_2E0 )
    & ( mono_2Ec_2EternaryComparisons_2Ebool__compare_2E2(mono_2Ec_2Ebool_2EF_2E0,mono_2Ec_2Ebool_2ET_2E0) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 ) ) ).

tff(thm_2Ecomparison_2Enum__cmp__def,axiom,
    ! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29] :
      ( ! [V0n1_2E0: mono_2Etyop_2Enum_2Enum,V1n2_2E0: mono_2Etyop_2Enum_2Enum] :
          ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(F0_2E0,V0n1_2E0),V1n2_2E0))
        <=> ( V0n1_2E0 = V1n2_2E0 ) )
     => ! [V0n1_2E0: mono_2Etyop_2Enum_2Enum,V1n2_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2EternaryComparisons_2Enum__compare_2E2(V0n1_2E0,V1n2_2E0) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2EternaryComparisons_2Eordering(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(F0_2E0,V0n1_2E0),V1n2_2E0),mono_2Ec_2EternaryComparisons_2EEQUAL_2E0,mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2EternaryComparisons_2Eordering(mono_2Ec_2Eprim__rec_2E_3C_2E2(V0n1_2E0,V1n2_2E0),mono_2Ec_2EternaryComparisons_2ELESS_2E0,mono_2Ec_2EternaryComparisons_2EGREATER_2E0)) ) ) ).

tff(thm_2Ecomparison_2Echar__cmp__def,axiom,
    ! [V0c1_2E0: mono_2Etyop_2Estring_2Echar,V1c2_2E0: mono_2Etyop_2Estring_2Echar] : ( mono_2Ec_2EternaryComparisons_2Echar__compare_2E2(V0c1_2E0,V1c2_2E0) = mono_2Ec_2EternaryComparisons_2Enum__compare_2E2(mono_2Ec_2Estring_2EORD_2E1(V0c1_2E0),mono_2Ec_2Estring_2EORD_2E1(V1c2_2E0)) ) ).

tff(thm_2Ecomparison_2Estring__cmp__def,axiom,
    mono_2Ec_2EternaryComparisons_2Estring__compare_2E0 = mono_2Ec_2EternaryComparisons_2Elist__compare_2E1_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Estring_2Echar(mono_2Ec_2EternaryComparisons_2Echar__compare_2E0) ).

tff(thm_2Ecomparison_2ETotOrder__imp__good__cmp,axiom,
    ! [A_27a: d,V0cmp_2E0: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Etoto_2ETotOrd_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0)))))
     => p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0))))) ) ).

tff(thm_2Ecomparison_2ETO__inv__invert,axiom,
    ! [A_27a: d,V0c_2E0: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Etoto_2ETotOrd_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0c_2E0)))))
     => ( s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),c_2Etoto_2ETO__inv_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0c_2E0))) = s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),c_2Epair_2ECURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2EternaryComparisons_2Eordering),c_2Ecombin_2Eo_2E2(s(tyop_2Emin_2Efun(tyop_2EternaryComparisons_2Eordering,tyop_2EternaryComparisons_2Eordering),i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29(mono_2Ec_2EternaryComparisons_2Einvert__comparison_2E0)),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2EternaryComparisons_2Eordering),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0c_2E0))))))) ) ) ).

tff(thm_2Ecomparison_2Eoption__cmp2__TO__inv,axiom,
    ! [A_27a: d,V0c_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering)),c_2Ecomparison_2Eoption__cmp2_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0c_2E0))) = s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering)),c_2Etoto_2ETO__inv_2E1(s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering)),c_2EternaryComparisons_2Eoption__compare_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),c_2Etoto_2ETO__inv_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0c_2E0))))))) ) ).

tff(thm_2Ecomparison_2Elist__cmp__ListOrd,axiom,
    ! [A_27a: d,V0c_2E0: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Etoto_2ETotOrd_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0c_2E0)))))
     => ( s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2EternaryComparisons_2Eordering)),c_2EternaryComparisons_2Elist__compare_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0c_2E0))) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2EternaryComparisons_2Eordering)),c_2Etoto_2EListOrd_2E1(s(tyop_2Etoto_2Etoto(A_27a),c_2Etoto_2ETO_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0c_2E0))))) ) ) ).

tff(thm_2Ecomparison_2ETotOrd__list__cmp,axiom,
    ! [A_27a: d,V0c_2E0: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Etoto_2ETotOrd_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0c_2E0)))))
     => p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Etoto_2ETotOrd_2E1(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2EternaryComparisons_2Eordering)),c_2EternaryComparisons_2Elist__compare_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0c_2E0))))))) ) ).

tff(thm_2Ecomparison_2Epair__cmp__lexTO,axiom,
    ! [A_27a: d,A_27b: d,V0R_2E0: u,V1V_2E0: u] :
      ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Etoto_2ETotOrd_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0R_2E0)))))
        & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Etoto_2ETotOrd_2E1(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V1V_2E0))))) )
     => ( s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2EternaryComparisons_2Eordering)),c_2EternaryComparisons_2Epair__compare_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0R_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V1V_2E0))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2EternaryComparisons_2Eordering)),c_2Etoto_2ElexTO_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0R_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V1V_2E0))) ) ) ).

tff(thm_2Ecomparison_2Enum__cmp__numOrd,axiom,
    mono_2Ec_2EternaryComparisons_2Enum__compare_2E0 = mono_2Ec_2Etoto_2EnumOrd_2E0 ).

tff(thm_2Ecomparison_2Echar__cmp__charOrd,axiom,
    mono_2Ec_2EternaryComparisons_2Echar__compare_2E0 = mono_2Ec_2Etoto_2EcharOrd_2E0 ).

tff(thm_2Ecomparison_2Estring__cmp__stringto,axiom,
    mono_2Ec_2EternaryComparisons_2Estring__compare_2E0 = mono_2Ec_2Etoto_2Eapto_2E1_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29(mono_2Ec_2Etoto_2Estringto_2E0) ).

tff(thm_2Ecomparison_2Eoption__cmp__good,axiom,
    ! [A_27a: d,V0cmp_2E0: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0)))))
     => p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering)),c_2EternaryComparisons_2Eoption__compare_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0))))))) ) ).

tff(thm_2Ecomparison_2Eoption__cmp2__good,axiom,
    ! [A_27a: d,V0cmp_2E0: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0)))))
     => p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2Emin_2Efun(tyop_2Eoption_2Eoption(A_27a),tyop_2EternaryComparisons_2Eordering)),c_2Ecomparison_2Eoption__cmp2_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0))))))) ) ).

tff(thm_2Ecomparison_2Elist__cmp__good,axiom,
    ! [A_27a: d,V0cmp_2E0: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0)))))
     => p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2EternaryComparisons_2Eordering)),c_2EternaryComparisons_2Elist__compare_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0))))))) ) ).

tff(thm_2Ecomparison_2Epair__cmp__good,axiom,
    ! [A_27a: d,A_27b: d,V0cmp1_2E0: u,V1cmp2_2E0: u] :
      ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp1_2E0)))))
        & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V1cmp2_2E0))))) )
     => p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2EternaryComparisons_2Eordering)),c_2EternaryComparisons_2Epair__compare_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp1_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V1cmp2_2E0))))))) ) ).

tff(thm_2Ecomparison_2Ebool__cmp__good,axiom,
    p(mono_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Emin_2Ebool(mono_2Ec_2EternaryComparisons_2Ebool__compare_2E0)) ).

tff(thm_2Ecomparison_2Enum__cmp__good,axiom,
    p(mono_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Enum_2Enum(mono_2Ec_2EternaryComparisons_2Enum__compare_2E0)) ).

tff(thm_2Ecomparison_2Echar__cmp__good,axiom,
    p(mono_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Estring_2Echar(mono_2Ec_2EternaryComparisons_2Echar__compare_2E0)) ).

tff(thm_2Ecomparison_2Estring__cmp__good,axiom,
    p(mono_2Ec_2Ecomparison_2Egood__cmp_2E1_2Emono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29(mono_2Ec_2EternaryComparisons_2Estring__compare_2E0)) ).

tff(thm_2Ecomparison_2Elist__cmp__cong,axiom,
    ! [A_27a: d,A_27b: d,V0cmp_2E0: u,V1l1_2E0: u,V2l2_2E0: u,V3cmp_27_2E0: u,V4l1_27_2E0: u,V5l2_27_2E0: u] :
      ( ( ( s(tyop_2Elist_2Elist(A_27a),V1l1_2E0) = s(tyop_2Elist_2Elist(A_27a),V4l1_27_2E0) )
        & ( s(tyop_2Elist_2Elist(A_27b),V2l2_2E0) = s(tyop_2Elist_2Elist(A_27b),V5l2_27_2E0) )
        & ! [V6x_2E0: u,V7x_27_2E0: u] :
            ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V6x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Elist_2ELIST__TO__SET_2E1(s(tyop_2Elist_2Elist(A_27a),V4l1_27_2E0)))))))
              & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27b,V7x_27_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),c_2Elist_2ELIST__TO__SET_2E1(s(tyop_2Elist_2Elist(A_27b),V5l2_27_2E0))))))) )
           => ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V6x_2E0))),s(A_27b,V7x_27_2E0)))) = j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V3cmp_27_2E0),s(A_27a,V6x_2E0))),s(A_27b,V7x_27_2E0)))) ) ) )
     => ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Elist__compare_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(tyop_2Elist_2Elist(A_27a),V1l1_2E0),s(tyop_2Elist_2Elist(A_27b),V2l2_2E0)))) = j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Elist__compare_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V3cmp_27_2E0),s(tyop_2Elist_2Elist(A_27a),V4l1_27_2E0),s(tyop_2Elist_2Elist(A_27b),V5l2_27_2E0)))) ) ) ).

tff(thm_2Ecomparison_2Eoption__cmp__cong,axiom,
    ! [A_27a: d,A_27b: d,V0cmp_2E0: u,V1v1_2E0: u,V2v2_2E0: u,V3cmp_27_2E0: u,V4v1_27_2E0: u,V5v2_27_2E0: u] :
      ( ( ( s(tyop_2Eoption_2Eoption(A_27a),V1v1_2E0) = s(tyop_2Eoption_2Eoption(A_27a),V4v1_27_2E0) )
        & ( s(tyop_2Eoption_2Eoption(A_27b),V2v2_2E0) = s(tyop_2Eoption_2Eoption(A_27b),V5v2_27_2E0) )
        & ! [V6x_2E0: u,V7x_27_2E0: u] :
            ( ( ( s(tyop_2Eoption_2Eoption(A_27a),V4v1_27_2E0) = s(tyop_2Eoption_2Eoption(A_27a),c_2Eoption_2ESOME_2E1(s(A_27a,V6x_2E0))) )
              & ( s(tyop_2Eoption_2Eoption(A_27b),V5v2_27_2E0) = s(tyop_2Eoption_2Eoption(A_27b),c_2Eoption_2ESOME_2E1(s(A_27b,V7x_27_2E0))) ) )
           => ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V6x_2E0))),s(A_27b,V7x_27_2E0)))) = j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V3cmp_27_2E0),s(A_27a,V6x_2E0))),s(A_27b,V7x_27_2E0)))) ) ) )
     => ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Eoption__compare_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(tyop_2Eoption_2Eoption(A_27a),V1v1_2E0),s(tyop_2Eoption_2Eoption(A_27b),V2v2_2E0)))) = j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Eoption__compare_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V3cmp_27_2E0),s(tyop_2Eoption_2Eoption(A_27a),V4v1_27_2E0),s(tyop_2Eoption_2Eoption(A_27b),V5v2_27_2E0)))) ) ) ).

tff(thm_2Ecomparison_2Eoption__cmp2__cong,axiom,
    ! [A_27a: d,A_27b: d,V0cmp_2E0: u,V1v1_2E0: u,V2v2_2E0: u,V3cmp_27_2E0: u,V4v1_27_2E0: u,V5v2_27_2E0: u] :
      ( ( ( s(tyop_2Eoption_2Eoption(A_27a),V1v1_2E0) = s(tyop_2Eoption_2Eoption(A_27a),V4v1_27_2E0) )
        & ( s(tyop_2Eoption_2Eoption(A_27b),V2v2_2E0) = s(tyop_2Eoption_2Eoption(A_27b),V5v2_27_2E0) )
        & ! [V6x_2E0: u,V7x_27_2E0: u] :
            ( ( ( s(tyop_2Eoption_2Eoption(A_27a),V4v1_27_2E0) = s(tyop_2Eoption_2Eoption(A_27a),c_2Eoption_2ESOME_2E1(s(A_27a,V6x_2E0))) )
              & ( s(tyop_2Eoption_2Eoption(A_27b),V5v2_27_2E0) = s(tyop_2Eoption_2Eoption(A_27b),c_2Eoption_2ESOME_2E1(s(A_27b,V7x_27_2E0))) ) )
           => ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V6x_2E0))),s(A_27b,V7x_27_2E0)))) = j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V3cmp_27_2E0),s(A_27a,V6x_2E0))),s(A_27b,V7x_27_2E0)))) ) ) )
     => ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2Ecomparison_2Eoption__cmp2_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(tyop_2Eoption_2Eoption(A_27a),V1v1_2E0),s(tyop_2Eoption_2Eoption(A_27b),V2v2_2E0)))) = j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2Ecomparison_2Eoption__cmp2_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V3cmp_27_2E0),s(tyop_2Eoption_2Eoption(A_27a),V4v1_27_2E0),s(tyop_2Eoption_2Eoption(A_27b),V5v2_27_2E0)))) ) ) ).

tff(thm_2Ecomparison_2Epair__cmp__cong,axiom,
    ! [A_27a: d,A_27b: d,A_27c: d,A_27d: d,V0cmp1_2E0: u,V1cmp2_2E0: u,V2v1_2E0: u,V3v2_2E0: u,V4cmp1_27_2E0: u,V5cmp2_27_2E0: u,V6v1_27_2E0: u,V7v2_27_2E0: u] :
      ( ( ( s(tyop_2Epair_2Eprod(A_27a,A_27c),V2v1_2E0) = s(tyop_2Epair_2Eprod(A_27a,A_27c),V6v1_27_2E0) )
        & ( s(tyop_2Epair_2Eprod(A_27b,A_27d),V3v2_2E0) = s(tyop_2Epair_2Eprod(A_27b,A_27d),V7v2_27_2E0) )
        & ! [V8a_2E0: u,V9b_2E0: u,V10c_2E0: u,V11d_2E0: u] :
            ( ( ( s(tyop_2Epair_2Eprod(A_27a,A_27c),V6v1_27_2E0) = s(tyop_2Epair_2Eprod(A_27a,A_27c),c_2Epair_2E_2C_2E2(s(A_27a,V8a_2E0),s(A_27c,V9b_2E0))) )
              & ( s(tyop_2Epair_2Eprod(A_27b,A_27d),V7v2_27_2E0) = s(tyop_2Epair_2Eprod(A_27b,A_27d),c_2Epair_2E_2C_2E2(s(A_27b,V10c_2E0),s(A_27d,V11d_2E0))) ) )
           => ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V0cmp1_2E0),s(A_27a,V8a_2E0))),s(A_27b,V10c_2E0)))) = j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V4cmp1_27_2E0),s(A_27a,V8a_2E0))),s(A_27b,V10c_2E0)))) ) )
        & ! [V12a_2E0: u,V13b_2E0: u,V14c_2E0: u,V15d_2E0: u] :
            ( ( ( s(tyop_2Epair_2Eprod(A_27a,A_27c),V6v1_27_2E0) = s(tyop_2Epair_2Eprod(A_27a,A_27c),c_2Epair_2E_2C_2E2(s(A_27a,V12a_2E0),s(A_27c,V13b_2E0))) )
              & ( s(tyop_2Epair_2Eprod(A_27b,A_27d),V7v2_27_2E0) = s(tyop_2Epair_2Eprod(A_27b,A_27d),c_2Epair_2E_2C_2E2(s(A_27b,V14c_2E0),s(A_27d,V15d_2E0))) ) )
           => ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27d,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Efun(A_27d,tyop_2EternaryComparisons_2Eordering)),V1cmp2_2E0),s(A_27c,V13b_2E0))),s(A_27d,V15d_2E0)))) = j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27d,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Efun(A_27d,tyop_2EternaryComparisons_2Eordering)),V5cmp2_27_2E0),s(A_27c,V13b_2E0))),s(A_27d,V15d_2E0)))) ) ) )
     => ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Epair__compare_2E4(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V0cmp1_2E0),s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Efun(A_27d,tyop_2EternaryComparisons_2Eordering)),V1cmp2_2E0),s(tyop_2Epair_2Eprod(A_27a,A_27c),V2v1_2E0),s(tyop_2Epair_2Eprod(A_27b,A_27d),V3v2_2E0)))) = j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Epair__compare_2E4(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V4cmp1_27_2E0),s(tyop_2Emin_2Efun(A_27c,tyop_2Emin_2Efun(A_27d,tyop_2EternaryComparisons_2Eordering)),V5cmp2_27_2E0),s(tyop_2Epair_2Eprod(A_27a,A_27c),V6v1_27_2E0),s(tyop_2Epair_2Eprod(A_27b,A_27d),V7v2_27_2E0)))) ) ) ).

tff(thm_2Ecomparison_2Egood__cmp__trans,axiom,
    ! [A_27a: d,A_27b: d,F1_2E0: u,F0_2E0: u] :
      ( ! [V0cmp_2E0: u,V1k_2E0: u,V3k_27_2E0: u,V4v_27_2E0: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)))),F1_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0))),s(A_27a,V1k_2E0))),s(A_27a,V3k_27_2E0))),s(A_27b,V4v_27_2E0)))))
        <=> ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V1k_2E0))),s(A_27a,V3k_27_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 ) )
     => ( ! [V0cmp_2E0: u,V1k_2E0: u,V2v_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool)))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0))),s(A_27a,V1k_2E0))),s(A_27b,V2v_2E0))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)))),F1_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0))),s(A_27a,V1k_2E0))))) )
       => ! [V0cmp_2E0: u] :
            ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0)))))
           => p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Erelation_2Etransitive_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool)),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool)))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0))))))))) ) ) ) ).

tff(thm_2Ecomparison_2Egood__cmp__Less__trans,axiom,
    ! [A_27a: d,F0_2E0: u] :
      ( ! [V0cmp_2E0: u,V1k_2E0: u,V2k_27_2E0: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0))),s(A_27a,V1k_2E0))),s(A_27a,V2k_27_2E0)))))
        <=> ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V1k_2E0))),s(A_27a,V2k_27_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 ) )
     => ! [V0cmp_2E0: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0)))))
         => p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Erelation_2Etransitive_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0))))))) ) ) ).

tff(thm_2Ecomparison_2Egood__cmp__Less__irrefl__trans,axiom,
    ! [A_27a: d,F1_2E0: u,F0_2E0: u] :
      ( ! [V0cmp_2E0: u,V3k_2E0: u,V4k_27_2E0: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F1_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0))),s(A_27a,V3k_2E0))),s(A_27a,V4k_27_2E0)))))
        <=> ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V3k_2E0))),s(A_27a,V4k_27_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 ) )
     => ( ! [V0cmp_2E0: u,V1k_2E0: u,V2k_27_2E0: u] :
            ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0))),s(A_27a,V1k_2E0))),s(A_27a,V2k_27_2E0)))))
          <=> ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V1k_2E0))),s(A_27a,V2k_27_2E0)))) = mono_2Ec_2EternaryComparisons_2ELESS_2E0 ) )
       => ! [V0cmp_2E0: u] :
            ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0)))))
           => ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Erelation_2Eirreflexive_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0)))))))
              & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Erelation_2Etransitive_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F1_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0))))))) ) ) ) ) ).

tff(thm_2Ecomparison_2Ebool__cmp__antisym,axiom,
    ! [V0x_2E0: mono_2Etyop_2Emin_2Ebool,V1y_2E0: mono_2Etyop_2Emin_2Ebool] :
      ( ( mono_2Ec_2EternaryComparisons_2Ebool__compare_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
    <=> ( V0x_2E0 = V1y_2E0 ) ) ).

tff(thm_2Ecomparison_2Enum__cmp__antisym,axiom,
    ! [V0x_2E0: mono_2Etyop_2Enum_2Enum,V1y_2E0: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2EternaryComparisons_2Enum__compare_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
    <=> ( V0x_2E0 = V1y_2E0 ) ) ).

tff(thm_2Ecomparison_2Echar__cmp__antisym,axiom,
    ! [V0x_2E0: mono_2Etyop_2Estring_2Echar,V1y_2E0: mono_2Etyop_2Estring_2Echar] :
      ( ( mono_2Ec_2EternaryComparisons_2Echar__compare_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
    <=> ( V0x_2E0 = V1y_2E0 ) ) ).

tff(thm_2Ecomparison_2Elist__cmp__antisym,axiom,
    ! [A_27a: d,V0cmp_2E0: u,V1x_2E0: u,V2y_2E0: u] :
      ( ! [V3x_2E0: u,V4y_2E0: u] :
          ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V3x_2E0))),s(A_27a,V4y_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
        <=> ( s(A_27a,V3x_2E0) = s(A_27a,V4y_2E0) ) )
     => ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Elist__compare_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(tyop_2Elist_2Elist(A_27a),V1x_2E0),s(tyop_2Elist_2Elist(A_27a),V2y_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
      <=> ( s(tyop_2Elist_2Elist(A_27a),V1x_2E0) = s(tyop_2Elist_2Elist(A_27a),V2y_2E0) ) ) ) ).

tff(thm_2Ecomparison_2Estring__cmp__antisym,axiom,
    ! [V0x_2E0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29,V1y_2E0: mono_2Etyop_2Elist_2Elist_28tyop_2Estring_2Echar_29] :
      ( ( mono_2Ec_2EternaryComparisons_2Estring__compare_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
    <=> ( V0x_2E0 = V1y_2E0 ) ) ).

tff(thm_2Ecomparison_2Epair__cmp__antisym,axiom,
    ! [A_27a: d,A_27b: d,V0cmp1_2E0: u,V1cmp2_2E0: u,V2x_2E0: u,V3y_2E0: u] :
      ( ( ! [V4x_2E0: u,V5y_2E0: u] :
            ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp1_2E0),s(A_27a,V4x_2E0))),s(A_27a,V5y_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
          <=> ( s(A_27a,V4x_2E0) = s(A_27a,V5y_2E0) ) )
        & ! [V6x_2E0: u,V7y_2E0: u] :
            ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V1cmp2_2E0),s(A_27b,V6x_2E0))),s(A_27b,V7y_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
          <=> ( s(A_27b,V6x_2E0) = s(A_27b,V7y_2E0) ) ) )
     => ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Epair__compare_2E4(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp1_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V1cmp2_2E0),s(tyop_2Epair_2Eprod(A_27a,A_27b),V2x_2E0),s(tyop_2Epair_2Eprod(A_27a,A_27b),V3y_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
      <=> ( s(tyop_2Epair_2Eprod(A_27a,A_27b),V2x_2E0) = s(tyop_2Epair_2Eprod(A_27a,A_27b),V3y_2E0) ) ) ) ).

tff(thm_2Ecomparison_2Eoption__cmp__antisym,axiom,
    ! [A_27a: d,V0cmp_2E0: u,V1x_2E0: u,V2y_2E0: u] :
      ( ! [V3x_2E0: u,V4y_2E0: u] :
          ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V3x_2E0))),s(A_27a,V4y_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
        <=> ( s(A_27a,V3x_2E0) = s(A_27a,V4y_2E0) ) )
     => ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Eoption__compare_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(tyop_2Eoption_2Eoption(A_27a),V1x_2E0),s(tyop_2Eoption_2Eoption(A_27a),V2y_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
      <=> ( s(tyop_2Eoption_2Eoption(A_27a),V1x_2E0) = s(tyop_2Eoption_2Eoption(A_27a),V2y_2E0) ) ) ) ).

tff(thm_2Ecomparison_2Eoption__cmp2__antisym,axiom,
    ! [A_27a: d,V0cmp_2E0: u,V1x_2E0: u,V2y_2E0: u] :
      ( ! [V3x_2E0: u,V4y_2E0: u] :
          ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V3x_2E0))),s(A_27a,V4y_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
        <=> ( s(A_27a,V3x_2E0) = s(A_27a,V4y_2E0) ) )
     => ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2Ecomparison_2Eoption__cmp2_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(tyop_2Eoption_2Eoption(A_27a),V1x_2E0),s(tyop_2Eoption_2Eoption(A_27a),V2y_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
      <=> ( s(tyop_2Eoption_2Eoption(A_27a),V1x_2E0) = s(tyop_2Eoption_2Eoption(A_27a),V2y_2E0) ) ) ) ).

tff(thm_2Ecomparison_2Eantisym__resp__equiv,axiom,
    ! [A_27a: d,A_27b: d,A_27c: d,V0cmp_2E0: u,V1f_2E0: u] :
      ( ! [V2x_2E0: u,V3y_2E0: u] :
          ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V2x_2E0))),s(A_27a,V3y_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
         => ( s(A_27a,V2x_2E0) = s(A_27a,V3y_2E0) ) )
     => ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Eresp__equiv_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V1f_2E0)))))
        & ! [V4cmp2_2E0: u] :
            ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Egood__cmp_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27c),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27c),tyop_2EternaryComparisons_2Eordering)),V4cmp2_2E0)))))
           => p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecomparison_2Eresp__equiv2_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27c),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27c),tyop_2EternaryComparisons_2Eordering)),V4cmp2_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V1f_2E0))))) ) ) ) ).

tff(thm_2Ecomparison_2Elist__cmp__equal__list__rel,axiom,
    ! [A_27a: d,A_27b: d,F0_2E0: u] :
      ( ! [V0cmp_2E0: u,V3x_2E0: u,V4y_2E0: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0))),s(A_27a,V3x_2E0))),s(A_27b,V4y_2E0)))))
        <=> ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(A_27a,V3x_2E0))),s(A_27b,V4y_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 ) )
     => ! [V0cmp_2E0: u,V1l1_2E0: u,V2l2_2E0: u] :
          ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering(s(tyop_2EternaryComparisons_2Eordering,c_2EternaryComparisons_2Elist__compare_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0),s(tyop_2Elist_2Elist(A_27a),V1l1_2E0),s(tyop_2Elist_2Elist(A_27b),V2l2_2E0)))) = mono_2Ec_2EternaryComparisons_2EEQUAL_2E0 )
        <=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Elist_2ELIST__REL_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2EternaryComparisons_2Eordering)),V0cmp_2E0))),s(tyop_2Elist_2Elist(A_27a),V1l1_2E0),s(tyop_2Elist_2Elist(A_27b),V2l2_2E0))))) ) ) ).

tff(thm_2Ecomparison_2ETO__of__LinearOrder__LLEX,axiom,
    ! [A_27a: d,V0R_2E0: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Erelation_2Eirreflexive_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),V0R_2E0)))))
     => ( s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2EternaryComparisons_2Eordering)),c_2Etoto_2ETO__of__LinearOrder_2E1(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Ebool)),c_2Elist_2ELLEX_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),V0R_2E0))))) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2EternaryComparisons_2Eordering)),c_2EternaryComparisons_2Elist__compare_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2EternaryComparisons_2Eordering)),c_2Etoto_2ETO__of__LinearOrder_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),V0R_2E0))))) ) ) ).

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