ITP001 Axioms: ITP089^4.ax
%------------------------------------------------------------------------------
% File : ITP089^4 : TPTP v8.2.0. Bugfixed v7.5.0.
% Domain : Interactive Theorem Proving
% Axioms : HOL4 syntactic export, chainy mode
% Version : [BG+19] axioms.
% English :
% Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% Source : [BG+19]
% Names : toto.ax [Gau19]
% : HL4089^4.ax [TPAP]
% Status : Satisfiable
% Syntax : Number of formulae : 920 ( 403 unt; 433 typ; 0 def)
% Number of atoms : 880 ( 611 equ; 22 cnn)
% Maximal formula atoms : 18 ( 0 avg)
% Number of connectives : 13361 ( 22 ~; 10 |; 116 &;13078 @)
% ( 42 <=>; 93 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 5 avg;13078 nst)
% Number of types : 12 ( 11 usr)
% Number of type conns : 1540 (1540 >; 0 *; 0 +; 0 <<)
% Number of symbols : 424 ( 422 usr; 107 con; 0-5 aty)
% Number of variables : 1125 ( 0 ^1111 !; 14 ?;1125 :)
% SPC : TH0_SAT_EQU_NAR
% Comments :
% Bugfixes : v7.5.0 - Fixes to the axioms.
%------------------------------------------------------------------------------
thf(u,type,
u: $tType ).
thf(d,type,
d: $tType ).
thf(du,type,
du: $tType ).
thf(mono_2Etyop_2Estring_2Echar,type,
mono_2Etyop_2Estring_2Echar: $tType ).
thf(mono_2Etyop_2Enum_2Enum,type,
mono_2Etyop_2Enum_2Enum: $tType ).
thf(mono_2Etyop_2Etoto_2Enum__dt,type,
mono_2Etyop_2Etoto_2Enum__dt: $tType ).
thf(mono_2Etyop_2EternaryComparisons_2Eordering,type,
mono_2Etyop_2EternaryComparisons_2Eordering: $tType ).
thf(mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,type,
mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29: $tType ).
thf(mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29,type,
mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29: $tType ).
thf(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 ).
thf(mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29,type,
mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29: $tType ).
thf(tyop_2Eind__type_2Erecspace,type,
tyop_2Eind__type_2Erecspace: d > d ).
thf(tyop_2Elist_2Elist,type,
tyop_2Elist_2Elist: d > d ).
thf(tyop_2Emin_2Ebool,type,
tyop_2Emin_2Ebool: d ).
thf(tyop_2Emin_2Efun,type,
tyop_2Emin_2Efun: d > d > d ).
thf(tyop_2Enum_2Enum,type,
tyop_2Enum_2Enum: d ).
thf(tyop_2Epair_2Eprod,type,
tyop_2Epair_2Eprod: d > d > d ).
thf(tyop_2Estring_2Echar,type,
tyop_2Estring_2Echar: d ).
thf(tyop_2EternaryComparisons_2Eordering,type,
tyop_2EternaryComparisons_2Eordering: d ).
thf(tyop_2Etoto_2Enum__dt,type,
tyop_2Etoto_2Enum__dt: d ).
thf(tyop_2Etoto_2Etoto,type,
tyop_2Etoto_2Etoto: d > d ).
thf(s,type,
s: d > u > du ).
thf(app_2E2,type,
app_2E2: du > du > u ).
thf(combin_i_2E0,type,
combin_i_2E0: u ).
thf(combin_k_2E0,type,
combin_k_2E0: u ).
thf(combin_s_2E0,type,
combin_s_2E0: u ).
thf(c_2Ebool_2E_21_2E0,type,
c_2Ebool_2E_21_2E0: u ).
thf(c_2Ebool_2E_21_2E1,type,
c_2Ebool_2E_21_2E1: du > u ).
thf(c_2Earithmetic_2E_2B_2E0,type,
c_2Earithmetic_2E_2B_2E0: u ).
thf(c_2Earithmetic_2E_2B_2E2,type,
c_2Earithmetic_2E_2B_2E2: du > du > u ).
thf(c_2Epair_2E_2C_2E0,type,
c_2Epair_2E_2C_2E0: u ).
thf(c_2Epair_2E_2C_2E2,type,
c_2Epair_2E_2C_2E2: du > du > u ).
thf(c_2Earithmetic_2E_2D_2E0,type,
c_2Earithmetic_2E_2D_2E0: u ).
thf(c_2Earithmetic_2E_2D_2E2,type,
c_2Earithmetic_2E_2D_2E2: du > du > u ).
thf(c_2Ebool_2E_2F_5C_2E0,type,
c_2Ebool_2E_2F_5C_2E0: u ).
thf(c_2Ebool_2E_2F_5C_2E2,type,
c_2Ebool_2E_2F_5C_2E2: du > du > u ).
thf(c_2Enum_2E0_2E0,type,
c_2Enum_2E0_2E0: u ).
thf(c_2Eprim__rec_2E_3C_2E0,type,
c_2Eprim__rec_2E_3C_2E0: u ).
thf(c_2Eprim__rec_2E_3C_2E2,type,
c_2Eprim__rec_2E_3C_2E2: du > du > u ).
thf(c_2Emin_2E_3D_2E0,type,
c_2Emin_2E_3D_2E0: u ).
thf(c_2Emin_2E_3D_2E2,type,
c_2Emin_2E_3D_2E2: du > du > u ).
thf(c_2Emin_2E_3D_3D_3E_2E0,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
thf(c_2Emin_2E_3D_3D_3E_2E2,type,
c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
thf(c_2Ebool_2E_3F_2E0,type,
c_2Ebool_2E_3F_2E0: u ).
thf(c_2Ebool_2E_3F_2E1,type,
c_2Ebool_2E_3F_2E1: du > u ).
thf(c_2Emin_2E_40_2E0,type,
c_2Emin_2E_40_2E0: u ).
thf(c_2Emin_2E_40_2E1,type,
c_2Emin_2E_40_2E1: du > u ).
thf(c_2Ebool_2EARB_2E0,type,
c_2Ebool_2EARB_2E0: u ).
thf(c_2Earithmetic_2EBIT1_2E0,type,
c_2Earithmetic_2EBIT1_2E0: u ).
thf(c_2Earithmetic_2EBIT1_2E1,type,
c_2Earithmetic_2EBIT1_2E1: du > u ).
thf(c_2Earithmetic_2EBIT2_2E0,type,
c_2Earithmetic_2EBIT2_2E0: u ).
thf(c_2Earithmetic_2EBIT2_2E1,type,
c_2Earithmetic_2EBIT2_2E1: du > u ).
thf(c_2Eind__type_2EBOTTOM_2E0,type,
c_2Eind__type_2EBOTTOM_2E0: u ).
thf(c_2Estring_2ECHR_2E0,type,
c_2Estring_2ECHR_2E0: u ).
thf(c_2Estring_2ECHR_2E1,type,
c_2Estring_2ECHR_2E1: du > u ).
thf(c_2Ebool_2ECOND_2E0,type,
c_2Ebool_2ECOND_2E0: u ).
thf(c_2Ebool_2ECOND_2E3,type,
c_2Ebool_2ECOND_2E3: du > du > du > u ).
thf(c_2Elist_2ECONS_2E0,type,
c_2Elist_2ECONS_2E0: u ).
thf(c_2Elist_2ECONS_2E2,type,
c_2Elist_2ECONS_2E2: du > du > u ).
thf(c_2Eind__type_2ECONSTR_2E0,type,
c_2Eind__type_2ECONSTR_2E0: u ).
thf(c_2Eind__type_2ECONSTR_2E3,type,
c_2Eind__type_2ECONSTR_2E3: du > du > du > u ).
thf(c_2Ebool_2EDATATYPE_2E0,type,
c_2Ebool_2EDATATYPE_2E0: u ).
thf(c_2Ebool_2EDATATYPE_2E1,type,
c_2Ebool_2EDATATYPE_2E1: du > u ).
thf(c_2Earithmetic_2EDIV2_2E0,type,
c_2Earithmetic_2EDIV2_2E0: u ).
thf(c_2Earithmetic_2EDIV2_2E1,type,
c_2Earithmetic_2EDIV2_2E1: du > u ).
thf(c_2EternaryComparisons_2EEQUAL_2E0,type,
c_2EternaryComparisons_2EEQUAL_2E0: u ).
thf(c_2Ebool_2EF_2E0,type,
c_2Ebool_2EF_2E0: u ).
thf(c_2Eind__type_2EFCONS_2E0,type,
c_2Eind__type_2EFCONS_2E0: u ).
thf(c_2Eind__type_2EFCONS_2E2,type,
c_2Eind__type_2EFCONS_2E2: du > du > u ).
thf(c_2Epair_2EFST_2E0,type,
c_2Epair_2EFST_2E0: u ).
thf(c_2Epair_2EFST_2E1,type,
c_2Epair_2EFST_2E1: du > u ).
thf(c_2EternaryComparisons_2EGREATER_2E0,type,
c_2EternaryComparisons_2EGREATER_2E0: u ).
thf(c_2Ecombin_2EI_2E0,type,
c_2Ecombin_2EI_2E0: u ).
thf(c_2Ecombin_2EI_2E1,type,
c_2Ecombin_2EI_2E1: du > u ).
thf(c_2EternaryComparisons_2ELESS_2E0,type,
c_2EternaryComparisons_2ELESS_2E0: u ).
thf(c_2Epair_2ELEX_2E0,type,
c_2Epair_2ELEX_2E0: u ).
thf(c_2Epair_2ELEX_2E2,type,
c_2Epair_2ELEX_2E2: du > du > u ).
thf(c_2Epair_2ELEX_2E4,type,
c_2Epair_2ELEX_2E4: du > du > du > du > u ).
thf(c_2Erelation_2ELinearOrder_2E0,type,
c_2Erelation_2ELinearOrder_2E0: u ).
thf(c_2Erelation_2ELinearOrder_2E1,type,
c_2Erelation_2ELinearOrder_2E1: du > u ).
thf(c_2Etoto_2EListOrd_2E0,type,
c_2Etoto_2EListOrd_2E0: u ).
thf(c_2Etoto_2EListOrd_2E1,type,
c_2Etoto_2EListOrd_2E1: du > u ).
thf(c_2Etoto_2EListOrd_2E3,type,
c_2Etoto_2EListOrd_2E3: du > du > du > u ).
thf(c_2Elist_2ENIL_2E0,type,
c_2Elist_2ENIL_2E0: u ).
thf(c_2Earithmetic_2ENUMERAL_2E0,type,
c_2Earithmetic_2ENUMERAL_2E0: u ).
thf(c_2Earithmetic_2ENUMERAL_2E1,type,
c_2Earithmetic_2ENUMERAL_2E1: du > u ).
thf(c_2Earithmetic_2EODD_2E0,type,
c_2Earithmetic_2EODD_2E0: u ).
thf(c_2Earithmetic_2EODD_2E1,type,
c_2Earithmetic_2EODD_2E1: du > u ).
thf(c_2Ebool_2EONE__ONE_2E0,type,
c_2Ebool_2EONE__ONE_2E0: u ).
thf(c_2Ebool_2EONE__ONE_2E1,type,
c_2Ebool_2EONE__ONE_2E1: du > u ).
thf(c_2Estring_2EORD_2E0,type,
c_2Estring_2EORD_2E0: u ).
thf(c_2Estring_2EORD_2E1,type,
c_2Estring_2EORD_2E1: du > u ).
thf(c_2Epair_2ESND_2E0,type,
c_2Epair_2ESND_2E0: u ).
thf(c_2Epair_2ESND_2E1,type,
c_2Epair_2ESND_2E1: du > u ).
thf(c_2Erelation_2ESTRORD_2E0,type,
c_2Erelation_2ESTRORD_2E0: u ).
thf(c_2Erelation_2ESTRORD_2E1,type,
c_2Erelation_2ESTRORD_2E1: du > u ).
thf(c_2Enum_2ESUC_2E0,type,
c_2Enum_2ESUC_2E0: u ).
thf(c_2Enum_2ESUC_2E1,type,
c_2Enum_2ESUC_2E1: du > u ).
thf(c_2Erelation_2EStrongLinearOrder_2E0,type,
c_2Erelation_2EStrongLinearOrder_2E0: u ).
thf(c_2Erelation_2EStrongLinearOrder_2E1,type,
c_2Erelation_2EStrongLinearOrder_2E1: du > u ).
thf(c_2Etoto_2EStrongLinearOrder__of__TO_2E0,type,
c_2Etoto_2EStrongLinearOrder__of__TO_2E0: u ).
thf(c_2Etoto_2EStrongLinearOrder__of__TO_2E1,type,
c_2Etoto_2EStrongLinearOrder__of__TO_2E1: du > u ).
thf(c_2Etoto_2EStrongLinearOrder__of__TO_2E3,type,
c_2Etoto_2EStrongLinearOrder__of__TO_2E3: du > du > du > u ).
thf(c_2Erelation_2EStrongOrder_2E0,type,
c_2Erelation_2EStrongOrder_2E0: u ).
thf(c_2Erelation_2EStrongOrder_2E1,type,
c_2Erelation_2EStrongOrder_2E1: du > u ).
thf(c_2Ebool_2ET_2E0,type,
c_2Ebool_2ET_2E0: u ).
thf(c_2Etoto_2ETO_2E0,type,
c_2Etoto_2ETO_2E0: u ).
thf(c_2Etoto_2ETO_2E1,type,
c_2Etoto_2ETO_2E1: du > u ).
thf(c_2Etoto_2ETO__inv_2E0,type,
c_2Etoto_2ETO__inv_2E0: u ).
thf(c_2Etoto_2ETO__inv_2E1,type,
c_2Etoto_2ETO__inv_2E1: du > u ).
thf(c_2Etoto_2ETO__inv_2E3,type,
c_2Etoto_2ETO__inv_2E3: du > du > du > u ).
thf(c_2Etoto_2ETO__of__LinearOrder_2E0,type,
c_2Etoto_2ETO__of__LinearOrder_2E0: u ).
thf(c_2Etoto_2ETO__of__LinearOrder_2E1,type,
c_2Etoto_2ETO__of__LinearOrder_2E1: du > u ).
thf(c_2Etoto_2ETO__of__LinearOrder_2E3,type,
c_2Etoto_2ETO__of__LinearOrder_2E3: du > du > du > u ).
thf(c_2Ebool_2ETYPE__DEFINITION_2E0,type,
c_2Ebool_2ETYPE__DEFINITION_2E0: u ).
thf(c_2Ebool_2ETYPE__DEFINITION_2E2,type,
c_2Ebool_2ETYPE__DEFINITION_2E2: du > du > u ).
thf(c_2Etoto_2ETotOrd_2E0,type,
c_2Etoto_2ETotOrd_2E0: u ).
thf(c_2Etoto_2ETotOrd_2E1,type,
c_2Etoto_2ETotOrd_2E1: du > u ).
thf(c_2Epair_2EUNCURRY_2E0,type,
c_2Epair_2EUNCURRY_2E0: u ).
thf(c_2Epair_2EUNCURRY_2E1,type,
c_2Epair_2EUNCURRY_2E1: du > u ).
thf(c_2Erelation_2EWF_2E0,type,
c_2Erelation_2EWF_2E0: u ).
thf(c_2Erelation_2EWF_2E1,type,
c_2Erelation_2EWF_2E1: du > u ).
thf(c_2Erelation_2EWFREC_2E0,type,
c_2Erelation_2EWFREC_2E0: u ).
thf(c_2Erelation_2EWFREC_2E2,type,
c_2Erelation_2EWFREC_2E2: du > du > u ).
thf(c_2Erelation_2EWeakLinearOrder_2E0,type,
c_2Erelation_2EWeakLinearOrder_2E0: u ).
thf(c_2Erelation_2EWeakLinearOrder_2E1,type,
c_2Erelation_2EWeakLinearOrder_2E1: du > u ).
thf(c_2Etoto_2EWeakLinearOrder__of__TO_2E0,type,
c_2Etoto_2EWeakLinearOrder__of__TO_2E0: u ).
thf(c_2Etoto_2EWeakLinearOrder__of__TO_2E1,type,
c_2Etoto_2EWeakLinearOrder__of__TO_2E1: du > u ).
thf(c_2Etoto_2EWeakLinearOrder__of__TO_2E3,type,
c_2Etoto_2EWeakLinearOrder__of__TO_2E3: du > du > du > u ).
thf(c_2Earithmetic_2EZERO_2E0,type,
c_2Earithmetic_2EZERO_2E0: u ).
thf(c_2Ebool_2E_5C_2F_2E0,type,
c_2Ebool_2E_5C_2F_2E0: u ).
thf(c_2Ebool_2E_5C_2F_2E2,type,
c_2Ebool_2E_5C_2F_2E2: du > du > u ).
thf(c_2Etoto_2Eapto_2E0,type,
c_2Etoto_2Eapto_2E0: u ).
thf(c_2Etoto_2Eapto_2E1,type,
c_2Etoto_2Eapto_2E1: du > u ).
thf(c_2Etoto_2Eapto_2E3,type,
c_2Etoto_2Eapto_2E3: du > du > du > u ).
thf(c_2Etoto_2Ebit1_2E0,type,
c_2Etoto_2Ebit1_2E0: u ).
thf(c_2Etoto_2Ebit1_2E1,type,
c_2Etoto_2Ebit1_2E1: du > u ).
thf(c_2Etoto_2Ebit2_2E0,type,
c_2Etoto_2Ebit2_2E0: u ).
thf(c_2Etoto_2Ebit2_2E1,type,
c_2Etoto_2Ebit2_2E1: du > u ).
thf(c_2Etoto_2EcharOrd_2E0,type,
c_2Etoto_2EcharOrd_2E0: u ).
thf(c_2Etoto_2EcharOrd_2E2,type,
c_2Etoto_2EcharOrd_2E2: du > du > u ).
thf(c_2Estring_2Echar__lt_2E0,type,
c_2Estring_2Echar__lt_2E0: u ).
thf(c_2Etoto_2Echarto_2E0,type,
c_2Etoto_2Echarto_2E0: u ).
thf(c_2Etoto_2EimageOrd_2E0,type,
c_2Etoto_2EimageOrd_2E0: u ).
thf(c_2Etoto_2EimageOrd_2E2,type,
c_2Etoto_2EimageOrd_2E2: du > du > u ).
thf(c_2Etoto_2EimageOrd_2E4,type,
c_2Etoto_2EimageOrd_2E4: du > du > du > du > u ).
thf(c_2Erelation_2Einv_2E0,type,
c_2Erelation_2Einv_2E0: u ).
thf(c_2Erelation_2Einv_2E1,type,
c_2Erelation_2Einv_2E1: du > u ).
thf(c_2Erelation_2Eirreflexive_2E0,type,
c_2Erelation_2Eirreflexive_2E0: u ).
thf(c_2Erelation_2Eirreflexive_2E1,type,
c_2Erelation_2Eirreflexive_2E1: du > u ).
thf(c_2Etoto_2ElexTO_2E0,type,
c_2Etoto_2ElexTO_2E0: u ).
thf(c_2Etoto_2ElexTO_2E2,type,
c_2Etoto_2ElexTO_2E2: du > du > u ).
thf(c_2Etoto_2ElexTO_2E4,type,
c_2Etoto_2ElexTO_2E4: du > du > du > du > u ).
thf(c_2Etoto_2Elextoto_2E0,type,
c_2Etoto_2Elextoto_2E0: u ).
thf(c_2Etoto_2Elextoto_2E2,type,
c_2Etoto_2Elextoto_2E2: du > du > u ).
thf(c_2Etoto_2Elistorder_2E0,type,
c_2Etoto_2Elistorder_2E0: u ).
thf(c_2Etoto_2Elistorder_2E1,type,
c_2Etoto_2Elistorder_2E1: du > u ).
thf(c_2Etoto_2Elistorder_2E3,type,
c_2Etoto_2Elistorder_2E3: du > du > du > u ).
thf(c_2Etoto_2Elistoto_2E0,type,
c_2Etoto_2Elistoto_2E0: u ).
thf(c_2Etoto_2Elistoto_2E1,type,
c_2Etoto_2Elistoto_2E1: du > u ).
thf(c_2Etoto_2EnumOrd_2E0,type,
c_2Etoto_2EnumOrd_2E0: u ).
thf(c_2Etoto_2EnumOrd_2E2,type,
c_2Etoto_2EnumOrd_2E2: du > du > u ).
thf(c_2Etoto_2Enum__dtOrd_2E0,type,
c_2Etoto_2Enum__dtOrd_2E0: u ).
thf(c_2Etoto_2Enum__dtOrd_2E2,type,
c_2Etoto_2Enum__dtOrd_2E2: du > du > u ).
thf(c_2Etoto_2Enum__dt__CASE_2E0,type,
c_2Etoto_2Enum__dt__CASE_2E0: u ).
thf(c_2Etoto_2Enum__dt__CASE_2E4,type,
c_2Etoto_2Enum__dt__CASE_2E4: du > du > du > du > u ).
thf(c_2Etoto_2Enum__dt__size_2E0,type,
c_2Etoto_2Enum__dt__size_2E0: u ).
thf(c_2Etoto_2Enum__dt__size_2E1,type,
c_2Etoto_2Enum__dt__size_2E1: du > u ).
thf(c_2Etoto_2Enum__to__dt_2E0,type,
c_2Etoto_2Enum__to__dt_2E0: u ).
thf(c_2Etoto_2Enum__to__dt_2E1,type,
c_2Etoto_2Enum__to__dt_2E1: du > u ).
thf(c_2Etoto_2Enumto_2E0,type,
c_2Etoto_2Enumto_2E0: u ).
thf(c_2EternaryComparisons_2Eordering__CASE_2E0,type,
c_2EternaryComparisons_2Eordering__CASE_2E0: u ).
thf(c_2EternaryComparisons_2Eordering__CASE_2E4,type,
c_2EternaryComparisons_2Eordering__CASE_2E4: du > du > du > du > u ).
thf(c_2Etoto_2Eqk__numOrd_2E0,type,
c_2Etoto_2Eqk__numOrd_2E0: u ).
thf(c_2Etoto_2Eqk__numOrd_2E2,type,
c_2Etoto_2Eqk__numOrd_2E2: du > du > u ).
thf(c_2Etoto_2Eqk__numto_2E0,type,
c_2Etoto_2Eqk__numto_2E0: u ).
thf(c_2Etoto_2Estringto_2E0,type,
c_2Etoto_2Estringto_2E0: u ).
thf(c_2Etoto_2Etoto__inv_2E0,type,
c_2Etoto_2Etoto__inv_2E0: u ).
thf(c_2Etoto_2Etoto__inv_2E1,type,
c_2Etoto_2Etoto__inv_2E1: du > u ).
thf(c_2Etoto_2Etoto__of__LinearOrder_2E0,type,
c_2Etoto_2Etoto__of__LinearOrder_2E0: u ).
thf(c_2Etoto_2Etoto__of__LinearOrder_2E1,type,
c_2Etoto_2Etoto__of__LinearOrder_2E1: du > u ).
thf(c_2Erelation_2Etransitive_2E0,type,
c_2Erelation_2Etransitive_2E0: u ).
thf(c_2Erelation_2Etransitive_2E1,type,
c_2Erelation_2Etransitive_2E1: du > u ).
thf(c_2Erelation_2Etrichotomous_2E0,type,
c_2Erelation_2Etrichotomous_2E0: u ).
thf(c_2Erelation_2Etrichotomous_2E1,type,
c_2Erelation_2Etrichotomous_2E1: du > u ).
thf(c_2Etoto_2Ezer_2E0,type,
c_2Etoto_2Ezer_2E0: u ).
thf(c_2Ebool_2E_7E_2E0,type,
c_2Ebool_2E_7E_2E0: u ).
thf(c_2Ebool_2E_7E_2E1,type,
c_2Ebool_2E_7E_2E1: du > u ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o > $o ) > $o > $o > $o > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29: ( $o > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29: ( $o > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > $o > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ).
thf(mono_2Eapp_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_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29: ( $o > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering ) > $o > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Eapp_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29,type,
mono_2Eapp_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Eapp_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Enum_2Enum,type,
mono_2Eapp_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2EternaryComparisons_2Eordering,type,
mono_2Eapp_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2EternaryComparisons_2Eordering: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29: ( ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > $o ) > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ) > ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > $o ) > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Eapp_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_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ) > $o ) > ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ) > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29: ( ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 ) > ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29: ( ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Eapp_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_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ) > $o ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ) > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > $o ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > $o ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > $o ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o ) > ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > $o ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Estring_2Echar,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Estring_2Echar: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29: ( mono_2Etyop_2Enum_2Enum > $o > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Enum_2Enum > $o > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Etoto_2Enum__dt,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Etoto_2Enum__dt: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2EternaryComparisons_2Eordering,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2EternaryComparisons_2Eordering: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Etoto_2Enum__dt > $o ) > mono_2Etyop_2Etoto_2Enum__dt > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Etoto_2Enum__dt > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > $o ) > mono_2Etyop_2Etoto_2Enum__dt > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > $o ) > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29,type,
mono_2Eapp_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29: ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ).
thf(mono_2Eapp_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29,type,
mono_2Eapp_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29: ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Eapp_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Enum_2Enum,type,
mono_2Eapp_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Etoto_2Enum__dt,type,
mono_2Eapp_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Etoto_2Enum__dt: ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ).
thf(mono_2Eapp_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2EternaryComparisons_2Eordering,type,
mono_2Eapp_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2EternaryComparisons_2Eordering: ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Eapp_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29: ( mono_2Etyop_2EternaryComparisons_2Eordering > $o > $o > $o > $o ) > mono_2Etyop_2EternaryComparisons_2Eordering > $o > $o > $o > $o ).
thf(mono_2Eapp_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_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_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Eapp_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_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29: ( mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Eapp_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29,type,
mono_2Eapp_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29: ( mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Eapp_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2EternaryComparisons_2Eordering,type,
mono_2Eapp_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2EternaryComparisons_2Eordering: ( mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Eapp_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > $o ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29: ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29: ( mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Eapp_2Emono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29: ( mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ) > mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29: ( mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Ec_2Earithmetic_2E_2B,type,
mono_2Ec_2Earithmetic_2E_2B: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Earithmetic_2E_2D,type,
mono_2Ec_2Earithmetic_2E_2D: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Ebool_2E_2F_5C,type,
mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(mono_2Ec_2Enum_2E0,type,
mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Eprim__rec_2E_3C,type,
mono_2Ec_2Eprim__rec_2E_3C: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2Emin_2E_3D_3D_3E,type,
mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Emin_2Ebool,type,
mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Emin_2Ebool: $o ).
thf(mono_2Ec_2Earithmetic_2EBIT1,type,
mono_2Ec_2Earithmetic_2EBIT1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Earithmetic_2EBIT2,type,
mono_2Ec_2Earithmetic_2EBIT2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Eind__type_2EBOTTOM_2Emono_2Etyop_2Emin_2Ebool,type,
mono_2Ec_2Eind__type_2EBOTTOM_2Emono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ).
thf(mono_2Ec_2Estring_2ECHR,type,
mono_2Ec_2Estring_2ECHR: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ).
thf(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool,type,
mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool: $o > $o > $o > $o ).
thf(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Etoto_2Enum__dt,type,
mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Etoto_2Enum__dt: $o > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ).
thf(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2EternaryComparisons_2Eordering,type,
mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2EternaryComparisons_2Eordering: $o > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Ec_2Eind__type_2ECONSTR_2Emono_2Etyop_2Emin_2Ebool,type,
mono_2Ec_2Eind__type_2ECONSTR_2Emono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Enum_2Enum > $o > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ).
thf(mono_2Ec_2Ebool_2EDATATYPE_2Emono_2Etyop_2Emin_2Ebool,type,
mono_2Ec_2Ebool_2EDATATYPE_2Emono_2Etyop_2Emin_2Ebool: $o > $o ).
thf(mono_2Ec_2Earithmetic_2EDIV2,type,
mono_2Ec_2Earithmetic_2EDIV2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2EternaryComparisons_2EEQUAL,type,
mono_2Ec_2EternaryComparisons_2EEQUAL: mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Ec_2Ebool_2EF,type,
mono_2Ec_2Ebool_2EF: $o ).
thf(mono_2Ec_2Eind__type_2EFCONS_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,type,
mono_2Ec_2Eind__type_2EFCONS_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ).
thf(mono_2Ec_2EternaryComparisons_2EGREATER,type,
mono_2Ec_2EternaryComparisons_2EGREATER: mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Ec_2Ecombin_2EI_2Emono_2Etyop_2Etoto_2Enum__dt,type,
mono_2Ec_2Ecombin_2EI_2Emono_2Etyop_2Etoto_2Enum__dt: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ).
thf(mono_2Ec_2EternaryComparisons_2ELESS,type,
mono_2Ec_2EternaryComparisons_2ELESS: mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Ec_2Earithmetic_2ENUMERAL,type,
mono_2Ec_2Earithmetic_2ENUMERAL: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Earithmetic_2EODD,type,
mono_2Ec_2Earithmetic_2EODD: mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2Estring_2EORD,type,
mono_2Ec_2Estring_2EORD: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Enum_2ESUC,type,
mono_2Ec_2Enum_2ESUC: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Erelation_2EStrongLinearOrder_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Erelation_2EStrongLinearOrder_2Emono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ).
thf(mono_2Ec_2Ebool_2ET,type,
mono_2Ec_2Ebool_2ET: $o ).
thf(mono_2Ec_2Etoto_2ETO_2Emono_2Etyop_2Estring_2Echar,type,
mono_2Ec_2Etoto_2ETO_2Emono_2Etyop_2Estring_2Echar: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 ).
thf(mono_2Ec_2Etoto_2ETO_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Etoto_2ETO_2Emono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Etoto_2ETO__of__LinearOrder_2Emono_2Etyop_2Estring_2Echar,type,
mono_2Ec_2Etoto_2ETO__of__LinearOrder_2Emono_2Etyop_2Estring_2Echar: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > $o ) > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Ec_2Etoto_2ETO__of__LinearOrder_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Etoto_2ETO__of__LinearOrder_2Emono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_20mono_2Etyop_2Etoto_2Enum__dt,type,
mono_2Ec_2Ebool_2ETYPE__DEFINITION_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_20mono_2Etyop_2Etoto_2Enum__dt: ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > $o ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o ).
thf(mono_2Ec_2Etoto_2ETotOrd_2Emono_2Etyop_2Estring_2Echar,type,
mono_2Ec_2Etoto_2ETotOrd_2Emono_2Etyop_2Estring_2Echar: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ) > $o ).
thf(mono_2Ec_2Etoto_2ETotOrd_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Etoto_2ETotOrd_2Emono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ) > $o ).
thf(mono_2Ec_2Erelation_2EWF_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Erelation_2EWF_2Emono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ).
thf(mono_2Ec_2Erelation_2EWFREC_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Etoto_2Enum__dt,type,
mono_2Ec_2Erelation_2EWFREC_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Etoto_2Enum__dt: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ).
thf(mono_2Ec_2Earithmetic_2EZERO,type,
mono_2Ec_2Earithmetic_2EZERO: mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Ebool_2E_5C_2F,type,
mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(mono_2Ec_2Etoto_2Eapto_2Emono_2Etyop_2Estring_2Echar,type,
mono_2Ec_2Etoto_2Eapto_2Emono_2Etyop_2Estring_2Echar: mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Ec_2Etoto_2Eapto_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Etoto_2Eapto_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Ec_2Etoto_2Ebit1,type,
mono_2Ec_2Etoto_2Ebit1: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ).
thf(mono_2Ec_2Etoto_2Ebit2,type,
mono_2Ec_2Etoto_2Ebit2: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ).
thf(mono_2Ec_2Etoto_2EcharOrd,type,
mono_2Ec_2Etoto_2EcharOrd: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Ec_2Estring_2Echar__lt,type,
mono_2Ec_2Estring_2Echar__lt: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > $o ).
thf(mono_2Ec_2Etoto_2Echarto,type,
mono_2Ec_2Etoto_2Echarto: mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 ).
thf(mono_2Ec_2Etoto_2Elistoto_2Emono_2Etyop_2Estring_2Echar,type,
mono_2Ec_2Etoto_2Elistoto_2Emono_2Etyop_2Estring_2Echar: mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ).
thf(mono_2Ec_2Etoto_2EnumOrd,type,
mono_2Ec_2Etoto_2EnumOrd: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Ec_2Etoto_2Enum__dtOrd,type,
mono_2Ec_2Etoto_2Enum__dtOrd: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Ec_2Etoto_2Enum__dt__size,type,
mono_2Ec_2Etoto_2Enum__dt__size: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Etoto_2Enum__to__dt,type,
mono_2Ec_2Etoto_2Enum__to__dt: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ).
thf(mono_2Ec_2Etoto_2Enumto,type,
mono_2Ec_2Etoto_2Enumto: mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Emin_2Ebool,type,
mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Emin_2Ebool: mono_2Etyop_2EternaryComparisons_2Eordering > $o > $o > $o > $o ).
thf(mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2EternaryComparisons_2Eordering,type,
mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2EternaryComparisons_2Eordering: mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Ec_2Etoto_2Eqk__numOrd,type,
mono_2Ec_2Etoto_2Eqk__numOrd: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Ec_2Etoto_2Eqk__numto,type,
mono_2Ec_2Etoto_2Eqk__numto: mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Etoto_2Estringto,type,
mono_2Ec_2Etoto_2Estringto: mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ).
thf(mono_2Ec_2Etoto_2Ezer,type,
mono_2Ec_2Etoto_2Ezer: mono_2Etyop_2Etoto_2Enum__dt ).
thf(mono_2Ec_2Ebool_2E_7E,type,
mono_2Ec_2Ebool_2E_7E: $o > $o ).
thf(i_mono_2Etyop_2Emin_2Ebool,type,
i_mono_2Etyop_2Emin_2Ebool: $o > u ).
thf(i_mono_2Etyop_2Estring_2Echar,type,
i_mono_2Etyop_2Estring_2Echar: mono_2Etyop_2Estring_2Echar > u ).
thf(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: ( $o > $o ) > u ).
thf(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: ( $o > $o > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29: ( $o > $o > $o > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29: ( $o > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29_29: ( $o > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > u ).
thf(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: ( $o > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > $o ) > u ).
thf(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_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ) > u ).
thf(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_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ) > u ).
thf(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_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_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_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_29: ( ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > $o ) > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ) > u ).
thf(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_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ) > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_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_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_29: ( ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29: ( ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29: ( ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_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_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ) > u ).
thf(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_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ) > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_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_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > $o ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o ) > u ).
thf(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_2Enum_2Enum > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29_29: ( mono_2Etyop_2Enum_2Enum > $o > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > u ).
thf(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_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
thf(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_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > u ).
thf(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_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Etoto_2Enum__dt > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29_29: ( mono_2Etyop_2Etoto_2Enum__dt > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29: ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29_29: ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2EternaryComparisons_2Eordering ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Enum_2Enum_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29: ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29: ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2EternaryComparisons_2Eordering ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29_29: ( mono_2Etyop_2EternaryComparisons_2Eordering > $o > $o > $o > $o ) > u ).
thf(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_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering ) > u ).
thf(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_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering ) > u ).
thf(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_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering ) > u ).
thf(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_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29_29: ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_29: ( mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_2Ctyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_2Ctyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29: ( mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_29: ( mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ) > u ).
thf(i_mono_2Etyop_2Enum_2Enum,type,
i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).
thf(i_mono_2Etyop_2Etoto_2Enum__dt,type,
i_mono_2Etyop_2Etoto_2Enum__dt: mono_2Etyop_2Etoto_2Enum__dt > u ).
thf(i_mono_2Etyop_2EternaryComparisons_2Eordering,type,
i_mono_2Etyop_2EternaryComparisons_2Eordering: mono_2Etyop_2EternaryComparisons_2Eordering > u ).
thf(i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > u ).
thf(i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29,type,
i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29: mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 > u ).
thf(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 ).
thf(i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29,type,
i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29: mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 > u ).
thf(j_mono_2Etyop_2Emin_2Ebool,type,
j_mono_2Etyop_2Emin_2Ebool: du > $o ).
thf(j_mono_2Etyop_2Estring_2Echar,type,
j_mono_2Etyop_2Estring_2Echar: du > mono_2Etyop_2Estring_2Echar ).
thf(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 > $o > $o ).
thf(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 > $o > $o > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29: du > $o > $o > $o > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29: du > $o > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29_29: du > $o > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ).
thf(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 > $o > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > $o ).
thf(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_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(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_2Estring_2Echar > mono_2Etyop_2Enum_2Enum ).
thf(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_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_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_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_29: du > ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > $o ) > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(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_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ) > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_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_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_29: du > ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29: du > ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29: du > ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_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_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_29: du > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_29: du > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(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_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ) > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_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_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_29: du > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29: du > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29: du > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > $o ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o ).
thf(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_2Enum_2Enum > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29_29: du > mono_2Etyop_2Enum_2Enum > $o > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ).
thf(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_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(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_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ).
thf(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_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Etoto_2Enum__dt > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29_29: du > mono_2Etyop_2Etoto_2Enum__dt > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29: du > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29_29: du > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Enum_2Enum_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29: du > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29: du > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29_29: du > mono_2Etyop_2EternaryComparisons_2Eordering > $o > $o > $o > $o ).
thf(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_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(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_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(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_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(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_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29_29: du > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_29: du > mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_2Ctyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_2Ctyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29: du > mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_29: du > mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(j_mono_2Etyop_2Enum_2Enum,type,
j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Etoto_2Enum__dt,type,
j_mono_2Etyop_2Etoto_2Enum__dt: du > mono_2Etyop_2Etoto_2Enum__dt ).
thf(j_mono_2Etyop_2EternaryComparisons_2Eordering,type,
j_mono_2Etyop_2EternaryComparisons_2Eordering: du > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(j_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29: du > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ).
thf(j_mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29,type,
j_mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29: du > mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 ).
thf(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 ).
thf(j_mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29,type,
j_mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29: du > mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 ).
thf(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 ) ) ) ).
thf(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 ) ) ).
thf(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 ) ) ).
thf(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 ) ) ) ) ) ) ).
thf(reserved_2Elogic_2E_2F_5C,axiom,
! [V0: $o,V1: $o] :
( ( mono_2Ec_2Ebool_2E_2F_5C @ V0 @ V1 )
<=> ( V0
& V1 ) ) ).
thf(reserved_2Elogic_2E_5C_2F,axiom,
! [V0: $o,V1: $o] :
( ( mono_2Ec_2Ebool_2E_5C_2F @ V0 @ V1 )
<=> ( V0
| V1 ) ) ).
thf(reserved_2Elogic_2E_7E,axiom,
! [V0: $o] :
( ( mono_2Ec_2Ebool_2E_7E @ V0 )
<=> ( (~) @ V0 ) ) ).
thf(reserved_2Elogic_2E_3D_3D_3E,axiom,
! [V0: $o,V1: $o] :
( ( mono_2Ec_2Emin_2E_3D_3D_3E @ V0 @ V1 )
<=> ( V0
=> V1 ) ) ).
thf(reserved_2Elogic_2E_3D,axiom,
! [A_27a: d,V0_2E0: u,V1_2E0: u] :
( ( 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 ) ) ) ).
thf(reserved_2Equant_2E_21,axiom,
! [A_27a: d,V0f_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 ) @ V0f_2E0 ) ) ) )
<=> ! [V1x_2E0: u] : ( 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 ) ) ) ) ) ).
thf(reserved_2Equant_2E_3F,axiom,
! [A_27a: d,V0f_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 ) @ V0f_2E0 ) ) ) )
<=> ? [V1x_2E0: u] : ( 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 ) ) ) ) ) ).
thf(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 ) ) ).
thf(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 ) ) ).
thf(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 ) ) ).
thf(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 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( 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_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( 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_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) ) ) @ V0_2E0 ) ) ).
thf(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 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(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 ) ) ).
thf(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 ) ) ).
thf(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 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_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_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2EternaryComparisons_2Eordering ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ 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_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2EternaryComparisons_2Eordering ) ) ) @ V0_2E0 ) ) ).
thf(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 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_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_2Etoto_2Etoto @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_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_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2EternaryComparisons_2Eordering ) ) @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2EternaryComparisons_2Eordering ) ) @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_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_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2EternaryComparisons_2Eordering ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2EternaryComparisons_2Eordering ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2EternaryComparisons_2Eordering ) ) ) @ V0_2E0 ) ) ).
thf(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 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_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_2Etoto_2Etoto @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2EternaryComparisons_2Eordering ) ) @ ( tyop_2Etoto_2Etoto @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2EternaryComparisons_2Eordering ) ) @ ( tyop_2Etoto_2Etoto @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(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 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Estring_2Echar ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Estring_2Echar ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) ) @ V0_2E0 ) ) ).
thf(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 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
thf(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 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ V0_2E0 ) ) ).
thf(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 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2EternaryComparisons_2Eordering ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2EternaryComparisons_2Eordering ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2EternaryComparisons_2Eordering ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Enum_2Enum_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2EternaryComparisons_2Eordering ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2EternaryComparisons_2Eordering ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2EternaryComparisons_2Eordering ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2EternaryComparisons_2Eordering @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EternaryComparisons_2Eordering @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2EternaryComparisons_2Eordering @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) ) @ V0_2E0 ) ) ).
thf(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 ) ) ).
thf(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 ) ) ).
thf(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 ) ) ).
thf(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 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2EternaryComparisons_2Eordering ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2EternaryComparisons_2Eordering ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2EternaryComparisons_2Eordering ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_2Ctyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ ( tyop_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_2Ctyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_2Ctyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ ( tyop_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ ( tyop_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2EternaryComparisons_2Eordering ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2EternaryComparisons_2Eordering ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2EternaryComparisons_2Eordering ) ) ) @ V0_2E0 ) ) ).
thf(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 ) ) ).
thf(ij_2Emono_2Etyop_2Etoto_2Enum__dt,axiom,
! [V0_2E0: u] :
( ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ ( j_mono_2Etyop_2Etoto_2Enum__dt @ ( s @ tyop_2Etoto_2Enum__dt @ V0_2E0 ) ) ) )
= ( s @ tyop_2Etoto_2Enum__dt @ V0_2E0 ) ) ).
thf(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 ) ) ).
thf(ij_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 @ ( j_mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 @ ( s @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ V0_2E0 ) ) ).
thf(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 ) ) ).
thf(ij_2Emono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Etoto_2Etoto @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Etoto_2Etoto @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Etoto_2Etoto @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).
thf(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [V0: $o] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Estring_2Echar,axiom,
! [V0: mono_2Etyop_2Estring_2Echar] :
( ( j_mono_2Etyop_2Estring_2Echar @ ( s @ tyop_2Estring_2Echar @ ( i_mono_2Etyop_2Estring_2Echar @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: $o > $o] :
( ( 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 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: $o > $o > $o] :
( ( 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 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0: $o > $o > $o > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( 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_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29,axiom,
! [V0: $o > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29_29,axiom,
! [V0: $o > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(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: $o > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( 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 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
! [V0: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( 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 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum] :
( ( 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 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
! [V0: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( 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 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > $o ) > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2EternaryComparisons_2Eordering ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(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: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ) > $o] :
( ( 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 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_29,axiom,
! [V0: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2EternaryComparisons_2Eordering ) ) @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29,axiom,
! [V0: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2EternaryComparisons_2Eordering ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(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: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ) > $o] :
( ( 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 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2EternaryComparisons_2Eordering ) ) @ ( tyop_2Etoto_2Etoto @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > $o ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > $o] :
( ( 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 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > $o > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
( ( 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 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( 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 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( 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 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2EternaryComparisons_2Eordering ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Enum_2Enum_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2EternaryComparisons_2Eordering ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29_29,axiom,
! [V0: mono_2Etyop_2EternaryComparisons_2Eordering > $o > $o > $o > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EternaryComparisons_2Eordering @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(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: mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( 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 ) ) )
= V0 ) ).
thf(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: mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( 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 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
! [V0: mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( 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 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
! [V0: mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( 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 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2EternaryComparisons_2Eordering ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_2Ctyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_2Ctyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ ( tyop_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_2Ctyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2EternaryComparisons_2Eordering ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Etoto_2Enum__dt,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt] :
( ( j_mono_2Etyop_2Etoto_2Enum__dt @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2EternaryComparisons_2Eordering,axiom,
! [V0: mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( j_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29] :
( ( j_mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 @ ( s @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,axiom,
! [V0: 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 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Etoto_2Etoto @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 @ V0 ) ) )
= V0 ) ).
thf(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 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Ebool_2E_21_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_2Ebool_2E_21_2E1 @ ( s @ ( 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_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_21_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
( ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ A_27a @ X0_2E0 ) @ ( s @ A_27b @ X1_2E0 ) ) )
= ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) ) ) @ c_2Epair_2E_2C_2E0 ) @ ( s @ A_27a @ X0_2E0 ) ) ) @ ( s @ A_27b @ X1_2E0 ) ) ) ) ).
thf(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 ) )
<=> ( 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 ) ) ) ) ) ).
thf(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 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Elist_2ECONS_2E2_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u,X1_2E0: u] :
( ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ ( c_2Elist_2ECONS_2E2 @ ( s @ A_27a @ X0_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ A_27a ) @ ( tyop_2Elist_2Elist @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ A_27a ) @ ( tyop_2Elist_2Elist @ A_27a ) ) ) @ c_2Elist_2ECONS_2E0 ) @ ( s @ A_27a @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ X1_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Epair_2EFST_2E1_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u] :
( ( s @ A_27a @ ( c_2Epair_2EFST_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ X0_2E0 ) ) )
= ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27a ) @ c_2Epair_2EFST_2E0 ) @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ X0_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Epair_2ELEX_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_2Emin_2Ebool ) ) @ ( c_2Epair_2ELEX_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X1_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_27b @ ( tyop_2Emin_2Efun @ 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 ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ 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_2ELEX_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X1_2E0 ) ) ) ) ).
thf(arityeq4_2Ec_2Epair_2ELEX_2E4_2Emono_2EA_27a_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_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epair_2ELEX_2E4 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ 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_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( 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_27b @ ( tyop_2Emin_2Efun @ 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 ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ 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_2ELEX_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ X2_2E0 ) ) ) @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ X3_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Erelation_2ELinearOrder_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2ELinearOrder_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_2ELinearOrder_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) ) ) ).
thf(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 ) ) ) ) ).
thf(arityeq3_2Ec_2Etoto_2EListOrd_2E3_2Emono_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_2Etoto_2EListOrd_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ 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_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 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ X2_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2EA_27d_20mono_2EA_27c,axiom,
! [A_27c: d,A_27d: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EONE__ONE_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27c ) @ X0_2E0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27d @ A_27c ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2EONE__ONE_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27c ) @ X0_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Epair_2ESND_2E1_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u] :
( ( s @ A_27b @ ( c_2Epair_2ESND_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ X0_2E0 ) ) )
= ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27b ) @ c_2Epair_2ESND_2E0 ) @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ X0_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Erelation_2ESTRORD_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( c_2Erelation_2ESTRORD_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_2Emin_2Ebool ) ) @ ( 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_2Emin_2Ebool ) ) ) @ c_2Erelation_2ESTRORD_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Erelation_2EStrongLinearOrder_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EStrongLinearOrder_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_2EStrongLinearOrder_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Erelation_2EStrongLinearOrder_2E1_2Emono_2EA_27b,axiom,
! [A_27b: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EStrongLinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ 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 @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ c_2Erelation_2EStrongLinearOrder_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Erelation_2EStrongLinearOrder_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_2Erelation_2EStrongLinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ 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 @ ( tyop_2Elist_2Elist @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ A_27a ) @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ c_2Erelation_2EStrongLinearOrder_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ A_27a ) @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Erelation_2EStrongLinearOrder_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_2EStrongLinearOrder_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_2EStrongLinearOrder_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 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Etoto_2EStrongLinearOrder__of__TO_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( c_2Etoto_2EStrongLinearOrder__of__TO_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_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 ) ) ) @ c_2Etoto_2EStrongLinearOrder__of__TO_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ X0_2E0 ) ) ) ) ).
thf(arityeq3_2Ec_2Etoto_2EStrongLinearOrder__of__TO_2E3_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Etoto_2EStrongLinearOrder__of__TO_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ X0_2E0 ) @ ( s @ A_27a @ X1_2E0 ) @ ( s @ A_27a @ X2_2E0 ) ) ) )
= ( 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 ) ) ) @ c_2Etoto_2EStrongLinearOrder__of__TO_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ X0_2E0 ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) @ ( s @ A_27a @ X2_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Etoto_2EStrongLinearOrder__of__TO_2E1_2Emono_2EA_27b,axiom,
! [A_27b: d,X0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ ( c_2Etoto_2EStrongLinearOrder__of__TO_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2EternaryComparisons_2Eordering ) ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ 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 @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) ) @ c_2Etoto_2EStrongLinearOrder__of__TO_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2EternaryComparisons_2Eordering ) ) @ X0_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Erelation_2EStrongOrder_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EStrongOrder_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_2EStrongOrder_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) ) ) ).
thf(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 ) ) ) ) ).
thf(arityeq1_2Ec_2Etoto_2ETO_2E1_2Emono_2Etyop_2Elist_2Elist_28A_27a_29,axiom,
! [A_27a: d,X0_2E0: u] :
( ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ A_27a ) ) @ ( c_2Etoto_2ETO_2E1 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ A_27a ) @ tyop_2EternaryComparisons_2Eordering ) ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ A_27a ) ) @ ( 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_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ A_27a ) ) ) @ c_2Etoto_2ETO_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ A_27a ) @ tyop_2EternaryComparisons_2Eordering ) ) @ X0_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Etoto_2ETO_2E1_2Emono_2Etyop_2Epair_2Eprod_28A_27a_2CA_27b_29,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u] :
( ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( c_2Etoto_2ETO_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 ) ) )
= ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( 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_2Etoto_2Etoto @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) ) ) @ c_2Etoto_2ETO_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 ) ) ) ) ).
thf(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 ) ) ) ) ).
thf(arityeq3_2Ec_2Etoto_2ETO__inv_2E3_2Emono_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_2Etoto_2ETO__inv_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ X0_2E0 ) @ ( s @ A_27a @ X1_2E0 ) @ ( s @ A_27a @ X2_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 ) ) @ ( 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 ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) @ ( s @ A_27a @ X2_2E0 ) ) ) ) ) ).
thf(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 ) ) ) ) ).
thf(arityeq3_2Ec_2Etoto_2ETO__of__LinearOrder_2E3_2Emono_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_2Etoto_2ETO__of__LinearOrder_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) @ ( s @ A_27a @ X1_2E0 ) @ ( s @ A_27a @ X2_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 ) ) @ ( 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 ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) @ ( s @ A_27a @ X2_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Etoto_2ETO__of__LinearOrder_2E1_2Emono_2EA_27b,axiom,
! [A_27b: d,X0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2ETO__of__LinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2EternaryComparisons_2Eordering ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2EternaryComparisons_2Eordering ) ) ) @ c_2Etoto_2ETO__of__LinearOrder_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) ) ).
thf(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 ) ) ) ) ).
thf(arityeq1_2Ec_2Etoto_2ETO__of__LinearOrder_2E1_2Emono_2Etyop_2Epair_2Eprod_28A_27a_2CA_27b_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_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2ETO__of__LinearOrder_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 ) ) )
= ( 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 @ ( tyop_2Epair_2Eprod @ A_27a @ 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_2EternaryComparisons_2Eordering ) ) ) @ c_2Etoto_2ETO__of__LinearOrder_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 ) ) ) ) ).
thf(arityeq2_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Emin_2Efun_28A_27a_2Ctyop_2Emin_2Efun_28A_27a_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Etoto_2Etoto_28A_27a_29,axiom,
! [A_27a: d,X0_2E0: u,X1_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2ETYPE__DEFINITION_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ tyop_2Emin_2Ebool ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) ) @ X1_2E0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) ) @ tyop_2Emin_2Ebool ) ) @ c_2Ebool_2ETYPE__DEFINITION_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) ) @ X1_2E0 ) ) ) ) ) ).
thf(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 ) ) ) ) ) ).
thf(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 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Etoto_2ETotOrd_2E1_2Emono_2EA_27c,axiom,
! [A_27c: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Etoto_2ETotOrd_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ ( tyop_2Emin_2Efun @ 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 @ A_27c @ ( tyop_2Emin_2Efun @ A_27c @ tyop_2EternaryComparisons_2Eordering ) ) @ tyop_2Emin_2Ebool ) @ c_2Etoto_2ETotOrd_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ ( tyop_2Emin_2Efun @ A_27c @ tyop_2EternaryComparisons_2Eordering ) ) @ X0_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Etoto_2ETotOrd_2E1_2Emono_2EA_27d,axiom,
! [A_27d: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Etoto_2ETotOrd_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27d @ ( tyop_2Emin_2Efun @ A_27d @ tyop_2EternaryComparisons_2Eordering ) ) @ X0_2E0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27d @ ( tyop_2Emin_2Efun @ A_27d @ tyop_2EternaryComparisons_2Eordering ) ) @ tyop_2Emin_2Ebool ) @ c_2Etoto_2ETotOrd_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27d @ ( tyop_2Emin_2Efun @ A_27d @ tyop_2EternaryComparisons_2Eordering ) ) @ X0_2E0 ) ) ) ) ) ).
thf(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 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Etoto_2ETotOrd_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_2Etoto_2ETotOrd_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_2Etoto_2ETotOrd_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 ) ) ) ) ) ).
thf(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 ) ) ) ) ).
thf(arityeq1_2Ec_2Erelation_2EWeakLinearOrder_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EWeakLinearOrder_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_2EWeakLinearOrder_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Etoto_2EWeakLinearOrder__of__TO_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( c_2Etoto_2EWeakLinearOrder__of__TO_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_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 ) ) ) @ c_2Etoto_2EWeakLinearOrder__of__TO_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ X0_2E0 ) ) ) ) ).
thf(arityeq3_2Ec_2Etoto_2EWeakLinearOrder__of__TO_2E3_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Etoto_2EWeakLinearOrder__of__TO_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ X0_2E0 ) @ ( s @ A_27a @ X1_2E0 ) @ ( s @ A_27a @ X2_2E0 ) ) ) )
= ( 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 ) ) ) @ c_2Etoto_2EWeakLinearOrder__of__TO_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ X0_2E0 ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) @ ( s @ A_27a @ X2_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Etoto_2Eapto_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_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) ) @ c_2Etoto_2Eapto_2E0 ) @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ X0_2E0 ) ) ) ) ).
thf(arityeq3_2Ec_2Etoto_2Eapto_2E3_2Emono_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_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ X0_2E0 ) @ ( s @ A_27a @ X1_2E0 ) @ ( s @ A_27a @ X2_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 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) ) @ c_2Etoto_2Eapto_2E0 ) @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) @ ( s @ A_27a @ X2_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Etoto_2Eapto_2E1_2Emono_2EA_27b,axiom,
! [A_27b: d,X0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27b ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2EternaryComparisons_2Eordering ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2EternaryComparisons_2Eordering ) ) ) @ c_2Etoto_2Eapto_2E0 ) @ ( s @ ( tyop_2Etoto_2Etoto @ A_27b ) @ X0_2E0 ) ) ) ) ).
thf(arityeq3_2Ec_2Etoto_2Eapto_2E3_2Emono_2EA_27b,axiom,
! [A_27b: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27b ) @ X0_2E0 ) @ ( s @ A_27b @ X1_2E0 ) @ ( s @ A_27b @ X2_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 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2EternaryComparisons_2Eordering ) ) ) @ c_2Etoto_2Eapto_2E0 ) @ ( s @ ( tyop_2Etoto_2Etoto @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ A_27b @ X1_2E0 ) ) ) @ ( s @ A_27b @ X2_2E0 ) ) ) ) ) ).
thf(arityeq3_2Ec_2Etoto_2Eapto_2E3_2Emono_2Etyop_2Elist_2Elist_28A_27a_29,axiom,
! [A_27a: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ A_27a ) ) @ 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_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ A_27a ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ A_27a ) @ tyop_2EternaryComparisons_2Eordering ) ) ) @ c_2Etoto_2Eapto_2E0 ) @ ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ A_27a ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ X2_2E0 ) ) ) ) ) ).
thf(arityeq3_2Ec_2Etoto_2Eapto_2E3_2Emono_2Etyop_2Epair_2Eprod_28A_27a_2CA_27b_29,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_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ X1_2E0 ) @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ X2_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_2Etoto_2Etoto @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( 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_2Eapto_2E0 ) @ ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ X2_2E0 ) ) ) ) ) ).
thf(arityeq4_2Ec_2Etoto_2EimageOrd_2E4_2Emono_2EA_27a_20mono_2EA_27c,axiom,
! [A_27a: d,A_27c: d,X0_2E0: u,X1_2E0: u,X2_2E0: u,X3_2E0: u] :
( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2EimageOrd_2E4 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ ( tyop_2Emin_2Efun @ A_27c @ tyop_2EternaryComparisons_2Eordering ) ) @ X1_2E0 ) @ ( s @ A_27a @ X2_2E0 ) @ ( s @ A_27a @ X3_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 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ ( tyop_2Emin_2Efun @ A_27c @ tyop_2EternaryComparisons_2Eordering ) ) @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ ( tyop_2Emin_2Efun @ A_27c @ tyop_2EternaryComparisons_2Eordering ) ) @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) ) ) @ c_2Etoto_2EimageOrd_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ ( tyop_2Emin_2Efun @ A_27c @ tyop_2EternaryComparisons_2Eordering ) ) @ X1_2E0 ) ) ) @ ( s @ A_27a @ X2_2E0 ) ) ) @ ( s @ A_27a @ X3_2E0 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Etoto_2EimageOrd_2E2_2Emono_2EA_27d_20mono_2EA_27c,axiom,
! [A_27c: d,A_27d: d,X0_2E0: u,X1_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ A_27d @ ( tyop_2Emin_2Efun @ A_27d @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2EimageOrd_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27c ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ ( tyop_2Emin_2Efun @ A_27c @ tyop_2EternaryComparisons_2Eordering ) ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ A_27d @ ( tyop_2Emin_2Efun @ A_27d @ tyop_2EternaryComparisons_2Eordering ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ ( tyop_2Emin_2Efun @ A_27c @ tyop_2EternaryComparisons_2Eordering ) ) @ ( tyop_2Emin_2Efun @ A_27d @ ( tyop_2Emin_2Efun @ A_27d @ tyop_2EternaryComparisons_2Eordering ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27d @ A_27c ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ ( tyop_2Emin_2Efun @ A_27c @ tyop_2EternaryComparisons_2Eordering ) ) @ ( tyop_2Emin_2Efun @ A_27d @ ( tyop_2Emin_2Efun @ A_27d @ tyop_2EternaryComparisons_2Eordering ) ) ) ) @ c_2Etoto_2EimageOrd_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27c ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ ( tyop_2Emin_2Efun @ A_27c @ tyop_2EternaryComparisons_2Eordering ) ) @ X1_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Erelation_2Einv_2E1_2Emono_2EA_27a_20mono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( c_2Erelation_2Einv_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_2Emin_2Ebool ) ) @ ( 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_2Emin_2Ebool ) ) ) @ c_2Erelation_2Einv_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) ) ).
thf(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 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Erelation_2Eirreflexive_2E1_2Emono_2EA_27b,axiom,
! [A_27b: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2Eirreflexive_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ 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 @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ c_2Erelation_2Eirreflexive_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) ) ) ).
thf(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 ) ) ) ) ).
thf(arityeq4_2Ec_2Etoto_2ElexTO_2E4_2Emono_2EA_27a_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_2Etoto_2ElexTO_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_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 ) ) ) @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ X2_2E0 ) ) ) @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ X3_2E0 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Etoto_2Elextoto_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
( ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( c_2Etoto_2Elextoto_2E2 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Etoto_2Etoto @ A_27b ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ A_27b ) @ ( tyop_2Etoto_2Etoto @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ A_27b ) @ ( tyop_2Etoto_2Etoto @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) ) ) ) @ c_2Etoto_2Elextoto_2E0 ) @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Etoto_2Etoto @ A_27b ) @ X1_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Etoto_2Elistorder_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_2Etoto_2Elistorder_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_2Etoto_2Elistorder_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) ) ).
thf(arityeq3_2Ec_2Etoto_2Elistorder_2E3_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Etoto_2Elistorder_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ X1_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ X2_2E0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( 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_2Etoto_2Elistorder_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ X2_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Etoto_2Elistoto_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ A_27a ) ) @ ( c_2Etoto_2Elistoto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( tyop_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ A_27a ) ) ) @ c_2Etoto_2Elistoto_2E0 ) @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ X0_2E0 ) ) ) ) ).
thf(arityeq4_2Ec_2Etoto_2Enum__dt__CASE_2E4_2Emono_2EA_27a,axiom,
! [A_27a: d,X0: mono_2Etyop_2Etoto_2Enum__dt,X1_2E0: u,X2_2E0: u,X3_2E0: u] :
( ( s @ A_27a @ ( c_2Etoto_2Enum__dt__CASE_2E4 @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ X0 ) ) @ ( s @ A_27a @ X1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ X2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ X3_2E0 ) ) )
= ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ A_27a ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ A_27a ) ) ) ) @ c_2Etoto_2Enum__dt__CASE_2E0 ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ X0 ) ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ X2_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ X3_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Etoto_2Etoto__inv_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( c_2Etoto_2Etoto__inv_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( tyop_2Etoto_2Etoto @ A_27a ) ) @ c_2Etoto_2Etoto__inv_2E0 ) @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ X0_2E0 ) ) ) ) ).
thf(arityeq1_2Ec_2Etoto_2Etoto__of__LinearOrder_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( c_2Etoto_2Etoto__of__LinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ 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_2Emin_2Ebool ) ) @ ( tyop_2Etoto_2Etoto @ A_27a ) ) @ c_2Etoto_2Etoto__of__LinearOrder_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) ) ).
thf(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 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Erelation_2Etrichotomous_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2Etrichotomous_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_2Etrichotomous_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: $o > $o,V1: $o] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( 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 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: $o > $o > $o,V1: $o] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( 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 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: $o > $o > $o > $o,V1: $o] :
( ( 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 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( 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_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29,axiom,
! [V0: $o > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,V1: $o] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29,axiom,
! [V0: $o > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt,V1: $o] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
thf(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: $o > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering,V1: $o] :
( ( 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 @ V1 ) ) )
= ( 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 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
! [V0: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering,V1: 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 @ ( V0 @ V1 ) ) )
= ( 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 ) ) @ ( s @ tyop_2Estring_2Echar @ ( i_mono_2Etyop_2Estring_2Echar @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Estring_2Echar] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( V0 @ V1 ) ) )
= ( 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 ) ) @ ( s @ tyop_2Estring_2Echar @ ( i_mono_2Etyop_2Estring_2Echar @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2EternaryComparisons_2Eordering,axiom,
! [V0: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Estring_2Echar] :
( ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ ( V0 @ V1 ) ) )
= ( 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 ) ) @ ( s @ tyop_2Estring_2Echar @ ( i_mono_2Etyop_2Estring_2Echar @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
! [V0: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > $o ) > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > $o] :
( ( 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 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ 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_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2EternaryComparisons_2Eordering ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29 @ V1 ) ) ) ) ) ).
thf(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: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ) > $o,V1: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( 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 ) ) @ ( 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 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29,axiom,
! [V0: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29,V1: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( s @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2EternaryComparisons_2Eordering ) ) @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_29 @ V0 ) ) @ ( 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 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o] :
( ( 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 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29,axiom,
! [V0: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt,V1: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( 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 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_29 @ V0 ) ) @ ( 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 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
( ( 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 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2EternaryComparisons_2Eordering ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2EternaryComparisons_2Eordering ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ V0 ) ) @ ( 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 @ V1 ) ) ) ) ) ).
thf(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: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ) > $o,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( 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 ) ) @ ( 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 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( s @ ( tyop_2Etoto_2Etoto @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Etoto_2Etoto @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2EternaryComparisons_2Eordering ) ) @ ( tyop_2Etoto_2Etoto @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( 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 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( s @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > $o,V1: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > $o,V1: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o,V1: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > $o ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o,V1: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > $o] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( 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 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Estring_2Echar,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Estring_2Echar @ ( i_mono_2Etyop_2Estring_2Echar @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Estring_2Echar @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Estring_2Echar_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > $o > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: 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 @ ( V0 @ V1 ) ) )
= ( 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 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering,V1: 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 @ ( V0 @ V1 ) ) )
= ( 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 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Etoto_2Enum__dt,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Etoto_2Enum__dt @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2EternaryComparisons_2Eordering,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ ( V0 @ V1 ) ) )
= ( 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 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > $o,V1: mono_2Etyop_2Etoto_2Enum__dt] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > $o,V1: mono_2Etyop_2Etoto_2Enum__dt] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > $o,V1: mono_2Etyop_2Etoto_2Enum__dt] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt,V1: mono_2Etyop_2Etoto_2Enum__dt] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29 @ V0 ) ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Etoto_2Enum__dt] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2EternaryComparisons_2Eordering ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2EternaryComparisons_2Eordering ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2EternaryComparisons_2Eordering ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29_29 @ V0 ) ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Etoto_2Enum__dt] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Etoto_2Enum__dt,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt,V1: mono_2Etyop_2Etoto_2Enum__dt] :
( ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Etoto_2Enum__dt @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29 @ V0 ) ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2EternaryComparisons_2Eordering,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Etoto_2Enum__dt] :
( ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ ( V0 @ V1 ) ) )
= ( s @ tyop_2EternaryComparisons_2Eordering @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2EternaryComparisons_2Eordering ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29 @ V0 ) ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0: mono_2Etyop_2EternaryComparisons_2Eordering > $o > $o > $o > $o,V1: mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( 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_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EternaryComparisons_2Eordering @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29_29 @ V0 ) ) @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ V1 ) ) ) ) ) ).
thf(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: mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering,V1: 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 @ ( V0 @ V1 ) ) )
= ( 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 ) ) @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ V1 ) ) ) ) ) ).
thf(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: mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering,V1: 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 @ ( V0 @ V1 ) ) )
= ( 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 ) ) @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
! [V0: mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering,V1: 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 @ ( V0 @ V1 ) ) )
= ( 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 ) ) @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2EternaryComparisons_2Eordering,axiom,
! [V0: mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ ( V0 @ V1 ) ) )
= ( 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 ) ) @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > $o,V1: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29,axiom,
! [V0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,V1: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_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 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2EternaryComparisons_2Eordering ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2EternaryComparisons_2Eordering ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,V1: mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_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 @ V1 ) ) )
= ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ ( tyop_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_2Ctyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_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 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2EternaryComparisons_2Eordering ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2EternaryComparisons_2Eordering ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Etoto_2Etoto @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ c_2Emin_2E_40_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o] :
( ( 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 @ ( mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( c_2Emin_2E_40_2E1 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2EARB_2E0_2Emono_2Etyop_2Emin_2Ebool,axiom,
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Emin_2Ebool ) )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EARB_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Eind__type_2EBOTTOM_2E0_2Emono_2Etyop_2Emin_2Ebool,axiom,
( ( s @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 @ mono_2Ec_2Eind__type_2EBOTTOM_2Emono_2Etyop_2Emin_2Ebool ) )
= ( s @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ c_2Eind__type_2EBOTTOM_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Emin_2Ebool,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( 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_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ c_2Ebool_2ECOND_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [V0: $o,V1: $o,V2: $o] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool @ V0 @ V1 @ V2 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V2 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Etoto_2Enum__dt,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29_29 @ mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Etoto_2Enum__dt ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) ) ) @ c_2Ebool_2ECOND_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Etoto_2Enum__dt,axiom,
! [V0: $o,V1: mono_2Etyop_2Etoto_2Enum__dt,V2: mono_2Etyop_2Etoto_2Enum__dt] :
( ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Etoto_2Enum__dt @ V0 @ V1 @ V2 ) ) )
= ( s @ tyop_2Etoto_2Enum__dt @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V1 ) ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V2 ) ) ) ) ) ).
thf(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_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 ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2EternaryComparisons_2Eordering,axiom,
! [V0: $o,V1: mono_2Etyop_2EternaryComparisons_2Eordering,V2: mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2EternaryComparisons_2Eordering @ V0 @ V1 @ V2 ) ) )
= ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ V1 ) ) @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ V2 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Eind__type_2ECONSTR_2E0_2Emono_2Etyop_2Emin_2Ebool,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29_29 @ mono_2Ec_2Eind__type_2ECONSTR_2Emono_2Etyop_2Emin_2Ebool ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) ) @ c_2Eind__type_2ECONSTR_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Eind__type_2ECONSTR_2E3_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Enum_2Enum,V1: $o,V2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( s @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 @ ( mono_2Ec_2Eind__type_2ECONSTR_2Emono_2Etyop_2Emin_2Ebool @ V0 @ V1 @ V2 ) ) )
= ( s @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ ( c_2Eind__type_2ECONSTR_2E3 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ V2 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2EDATATYPE_2E0_2Emono_2Etyop_2Emin_2Ebool,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Ebool_2EDATATYPE_2Emono_2Etyop_2Emin_2Ebool ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ c_2Ebool_2EDATATYPE_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2EDATATYPE_2E1_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [V0: $o] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Ebool_2EDATATYPE_2Emono_2Etyop_2Emin_2Ebool @ V0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EDATATYPE_2E1 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Eind__type_2EFCONS_2E0_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29_29 @ mono_2Ec_2Eind__type_2EFCONS_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) ) ) @ c_2Eind__type_2EFCONS_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Eind__type_2EFCONS_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ ( mono_2Ec_2Eind__type_2EFCONS_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 @ V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( c_2Eind__type_2EFCONS_2E2 @ ( s @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ecombin_2EI_2E0_2Emono_2Etyop_2Etoto_2Enum__dt,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29 @ mono_2Ec_2Ecombin_2EI_2Emono_2Etyop_2Etoto_2Enum__dt ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ tyop_2Etoto_2Enum__dt ) @ c_2Ecombin_2EI_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecombin_2EI_2E1_2Emono_2Etyop_2Etoto_2Enum__dt,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt] :
( ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ ( mono_2Ec_2Ecombin_2EI_2Emono_2Etyop_2Etoto_2Enum__dt @ V0 ) ) )
= ( s @ tyop_2Etoto_2Enum__dt @ ( c_2Ecombin_2EI_2E1 @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Erelation_2EStrongLinearOrder_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Erelation_2EStrongLinearOrder_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ c_2Erelation_2EStrongLinearOrder_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Erelation_2EStrongLinearOrder_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Erelation_2EStrongLinearOrder_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EStrongLinearOrder_2E1 @ ( 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 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Etoto_2ETO_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_2Etoto_2Etoto @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_29 @ mono_2Ec_2Etoto_2ETO_2Emono_2Etyop_2Estring_2Echar ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2EternaryComparisons_2Eordering ) ) @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) ) @ c_2Etoto_2ETO_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Etoto_2ETO_2E1_2Emono_2Etyop_2Estring_2Echar,axiom,
! [V0: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( s @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 @ ( mono_2Ec_2Etoto_2ETO_2Emono_2Etyop_2Estring_2Echar @ V0 ) ) )
= ( s @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ ( c_2Etoto_2ETO_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 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Etoto_2ETO_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_2Etoto_2Etoto @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_29 @ mono_2Ec_2Etoto_2ETO_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2EternaryComparisons_2Eordering ) ) @ ( tyop_2Etoto_2Etoto @ tyop_2Enum_2Enum ) ) @ c_2Etoto_2ETO_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Etoto_2ETO_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( s @ ( tyop_2Etoto_2Etoto @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 @ ( mono_2Ec_2Etoto_2ETO_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ ( tyop_2Etoto_2Etoto @ tyop_2Enum_2Enum ) @ ( c_2Etoto_2ETO_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 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Etoto_2ETO__of__LinearOrder_2E0_2Emono_2Etyop_2Estring_2Echar,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2EternaryComparisons_2Eordering ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ mono_2Ec_2Etoto_2ETO__of__LinearOrder_2Emono_2Etyop_2Estring_2Echar ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2EternaryComparisons_2Eordering ) ) ) @ c_2Etoto_2ETO__of__LinearOrder_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Etoto_2ETO__of__LinearOrder_2E1_2Emono_2Etyop_2Estring_2Echar,axiom,
! [V0: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > $o] :
( ( 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 @ ( mono_2Ec_2Etoto_2ETO__of__LinearOrder_2Emono_2Etyop_2Estring_2Echar @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2ETO__of__LinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Etoto_2ETO__of__LinearOrder_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2EternaryComparisons_2Eordering ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ mono_2Ec_2Etoto_2ETO__of__LinearOrder_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2EternaryComparisons_2Eordering ) ) ) @ c_2Etoto_2ETO__of__LinearOrder_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Etoto_2ETO__of__LinearOrder_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
( ( 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 @ ( mono_2Ec_2Etoto_2ETO__of__LinearOrder_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2ETO__of__LinearOrder_2E1 @ ( 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 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ETYPE__DEFINITION_2E0_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_20mono_2Etyop_2Etoto_2Enum__dt,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 @ mono_2Ec_2Ebool_2ETYPE__DEFINITION_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_20mono_2Etyop_2Etoto_2Enum__dt ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) ) @ c_2Ebool_2ETYPE__DEFINITION_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_20mono_2Etyop_2Etoto_2Enum__dt,axiom,
! [V0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > $o,V1: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Ebool_2ETYPE__DEFINITION_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_20mono_2Etyop_2Etoto_2Enum__dt @ V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2ETYPE__DEFINITION_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Etoto_2ETotOrd_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_2Etoto_2ETotOrd_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_2Etoto_2ETotOrd_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Etoto_2ETotOrd_2E1_2Emono_2Etyop_2Estring_2Echar,axiom,
! [V0: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Etoto_2ETotOrd_2Emono_2Etyop_2Estring_2Echar @ V0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Etoto_2ETotOrd_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 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Etoto_2ETotOrd_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_2Etoto_2ETotOrd_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_2Etoto_2ETotOrd_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Etoto_2ETotOrd_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Etoto_2ETotOrd_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Etoto_2ETotOrd_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 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Erelation_2EWF_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Erelation_2EWF_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ c_2Erelation_2EWF_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Erelation_2EWF_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Erelation_2EWF_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EWF_2E1 @ ( 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 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Erelation_2EWFREC_2E0_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Etoto_2Enum__dt,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_29 @ mono_2Ec_2Erelation_2EWFREC_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Etoto_2Enum__dt ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) ) @ c_2Erelation_2EWFREC_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Erelation_2EWFREC_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Etoto_2Enum__dt,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29 @ ( mono_2Ec_2Erelation_2EWFREC_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Etoto_2Enum__dt @ V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( c_2Erelation_2EWFREC_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 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Etoto_2Enum__dt ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Etoto_2Eapto_2E0_2Emono_2Etyop_2Estring_2Echar,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2EternaryComparisons_2Eordering ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ mono_2Ec_2Etoto_2Eapto_2Emono_2Etyop_2Estring_2Echar ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2EternaryComparisons_2Eordering ) ) ) @ c_2Etoto_2Eapto_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Etoto_2Eapto_2E1_2Emono_2Etyop_2Estring_2Echar,axiom,
! [V0: mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_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 @ ( mono_2Ec_2Etoto_2Eapto_2Emono_2Etyop_2Estring_2Echar @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ ( tyop_2Emin_2Efun @ tyop_2Estring_2Echar @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Etoto_2Eapto_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2EternaryComparisons_2Eordering ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ mono_2Ec_2Etoto_2Eapto_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2EternaryComparisons_2Eordering ) ) ) @ c_2Etoto_2Eapto_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Etoto_2Eapto_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_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 @ ( mono_2Ec_2Etoto_2Eapto_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Etoto_2Elistoto_2E0_2Emono_2Etyop_2Estring_2Echar,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ ( tyop_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_2Ctyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29_29 @ mono_2Ec_2Etoto_2Elistoto_2Emono_2Etyop_2Estring_2Echar ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ ( tyop_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) ) @ c_2Etoto_2Elistoto_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Etoto_2Elistoto_2E1_2Emono_2Etyop_2Estring_2Echar,axiom,
! [V0: mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29] :
( ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29 @ ( mono_2Ec_2Etoto_2Elistoto_2Emono_2Etyop_2Estring_2Echar @ V0 ) ) )
= ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ tyop_2Estring_2Echar ) ) @ ( c_2Etoto_2Elistoto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ tyop_2Estring_2Echar ) @ ( i_mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EternaryComparisons_2Eordering__CASE_2E0_2Emono_2Etyop_2Emin_2Ebool,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2EternaryComparisons_2Eordering @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29_29 @ mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Emin_2Ebool ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2EternaryComparisons_2Eordering @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) ) @ c_2EternaryComparisons_2Eordering__CASE_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EternaryComparisons_2Eordering__CASE_2E4_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2EternaryComparisons_2Eordering,V1: $o,V2: $o,V3: $o] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Emin_2Ebool @ V0 @ V1 @ V2 @ V3 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2EternaryComparisons_2Eordering__CASE_2E4 @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V2 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V3 ) ) ) ) ) ).
thf(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_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 ) ) ).
thf(monoeq_2Emono_2Ec_2EternaryComparisons_2Eordering__CASE_2E4_2Emono_2Etyop_2EternaryComparisons_2Eordering,axiom,
! [V0: mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2EternaryComparisons_2Eordering,V2: mono_2Etyop_2EternaryComparisons_2Eordering,V3: mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2EternaryComparisons_2Eordering @ V0 @ V1 @ V2 @ V3 ) ) )
= ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2EternaryComparisons_2Eordering__CASE_2E4 @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ V0 ) ) @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ V1 ) ) @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ V2 ) ) @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ V3 ) ) ) ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: $o > $o,V1: $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: $o > $o > $o,V1: $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: $o > $o > $o > $o,V1: $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29,axiom,
! [V0: $o > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,V1: $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_29,axiom,
! [V0: $o > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt,V1: $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
! [V0: $o > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering,V1: $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
! [V0: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Estring_2Echar] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Estring_2Echar] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2EternaryComparisons_2Eordering,axiom,
! [V0: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Estring_2Echar] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
! [V0: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > $o ) > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ) > $o,V1: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29,axiom,
! [V0: ( mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29,V1: mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29,axiom,
! [V0: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt,V1: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ) > $o,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Etoto_2Enum__dt_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > $o,V1: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > $o,V1: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o,V1: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > $o ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o,V1: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Estring_2Echar,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Estring_2Echar,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > $o > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Etoto_2Enum__dt,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2EternaryComparisons_2Eordering,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > $o,V1: mono_2Etyop_2Etoto_2Enum__dt] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > $o,V1: mono_2Etyop_2Etoto_2Enum__dt] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > $o,V1: mono_2Etyop_2Etoto_2Enum__dt] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2Etoto_2Enum__dt_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt,V1: mono_2Etyop_2Etoto_2Enum__dt] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Emin_2Efun_28tyop_2Etoto_2Enum__dt_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Etoto_2Enum__dt] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Etoto_2Enum__dt] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2Etoto_2Enum__dt,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt,V1: mono_2Etyop_2Etoto_2Enum__dt] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Etoto_2Enum__dt_20mono_2Etyop_2EternaryComparisons_2Eordering,axiom,
! [V0: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Etoto_2Enum__dt] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0: mono_2Etyop_2EternaryComparisons_2Eordering > $o > $o > $o > $o,V1: mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_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: mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
! [V0: mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
! [V0: mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2EternaryComparisons_2Eordering,axiom,
! [V0: mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > $o,V1: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_29,axiom,
! [V0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,V1: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2Emin_2Efun_28tyop_2Estring_2Echar_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2Estring_2Echar > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29_20mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29 > mono_2Etyop_2Etoto_2Etoto_28tyop_2Elist_2Elist_28tyop_2Estring_2Echar_29_29,V1: mono_2Etyop_2Etoto_2Etoto_28tyop_2Estring_2Echar_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
! [V0: mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Etoto_2Etoto_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(thm_2Etoto_2ETotOrd,axiom,
! [A_27a: d,V0c_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 ) ) @ V0c_2E0 ) ) ) )
<=> ( ! [V1x_2E0: u,V2y_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 ) ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL )
<=> ( ( s @ A_27a @ V1x_2E0 )
= ( s @ A_27a @ V2y_2E0 ) ) )
& ! [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 ) ) @ V0c_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) @ ( s @ A_27a @ V4y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EGREATER )
<=> ( ( 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 ) ) @ V0c_2E0 ) @ ( s @ A_27a @ V4y_2E0 ) ) ) @ ( s @ A_27a @ V3x_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) )
& ! [V5x_2E0: u,V6y_2E0: u,V7z_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 ) ) @ V0c_2E0 ) @ ( s @ A_27a @ V5x_2E0 ) ) ) @ ( s @ A_27a @ V6y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
& ( ( 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 ) ) @ V0c_2E0 ) @ ( s @ A_27a @ V6y_2E0 ) ) ) @ ( s @ A_27a @ V7z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) )
=> ( ( 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 ) ) @ V0c_2E0 ) @ ( s @ A_27a @ V5x_2E0 ) ) ) @ ( s @ A_27a @ V7z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) ) ) ) ).
thf(thm_2Etoto_2ETO__of__LinearOrder,axiom,
! [A_27a: d,F0_2E0: u] :
( ! [V1x_2E0: u,V2y_2E0: u] :
( ( 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 ) ) @ F0_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
<=> ( ( s @ A_27a @ V1x_2E0 )
= ( s @ A_27a @ V2y_2E0 ) ) )
=> ! [V0r_2E0: u,V1x_2E0: u,V2y_2E0: u] :
( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2ETO__of__LinearOrder_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0r_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2EternaryComparisons_2Eordering @ ( 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 ) ) @ F0_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) @ ( s @ A_27a @ V2y_2E0 ) ) ) ) @ mono_2Ec_2EternaryComparisons_2EEQUAL @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2EternaryComparisons_2Eordering @ ( 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 ) ) @ V0r_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) @ ( s @ A_27a @ V2y_2E0 ) ) ) ) @ mono_2Ec_2EternaryComparisons_2ELESS @ mono_2Ec_2EternaryComparisons_2EGREATER ) ) ) ) ).
thf(thm_2Etoto_2Etoto__TY__DEF,axiom,
! [A_27a: d] :
? [V0rep_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2ETYPE__DEFINITION_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 @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) ) @ V0rep_2E0 ) ) ) ) ).
thf(thm_2Etoto_2Eto__bij,axiom,
! [A_27a: d] :
( ! [V0a_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 ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0a_2E0 ) ) ) ) )
= ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0a_2E0 ) )
& ! [V1r_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 ) ) @ V1r_2E0 ) ) ) )
<=> ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2Eapto_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 ) ) @ V1r_2E0 ) ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ V1r_2E0 ) ) ) ) ).
thf(thm_2Etoto_2EWeakLinearOrder__of__TO,axiom,
! [A_27a: d,V0c_2E0: u,V1x_2E0: u,V2y_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Etoto_2EWeakLinearOrder__of__TO_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Emin_2Ebool @ ( 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 ) ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) @ ( s @ A_27a @ V2y_2E0 ) ) ) ) @ mono_2Ec_2Ebool_2ET @ mono_2Ec_2Ebool_2ET @ mono_2Ec_2Ebool_2EF ) ) ).
thf(thm_2Etoto_2EStrongLinearOrder__of__TO,axiom,
! [A_27a: d,V0c_2E0: u,V1x_2E0: u,V2y_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Etoto_2EStrongLinearOrder__of__TO_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Emin_2Ebool @ ( 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 ) ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) @ ( s @ A_27a @ V2y_2E0 ) ) ) ) @ mono_2Ec_2Ebool_2ET @ mono_2Ec_2Ebool_2EF @ mono_2Ec_2Ebool_2EF ) ) ).
thf(thm_2Etoto_2Etoto__of__LinearOrder,axiom,
! [A_27a: d,V0r_2E0: u] :
( ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( c_2Etoto_2Etoto__of__LinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0r_2E0 ) ) )
= ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( c_2Etoto_2ETO_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 ) ) ) ) ) ) ).
thf(thm_2Etoto_2ETO__inv,axiom,
! [A_27a: d,V0c_2E0: u,V1x_2E0: u,V2y_2E0: u] :
( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2ETO__inv_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V2y_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 ) ) @ V0c_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
thf(thm_2Etoto_2Etoto__inv,axiom,
! [A_27a: d,V0c_2E0: u] :
( ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( c_2Etoto_2Etoto__inv_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) )
= ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( c_2Etoto_2ETO_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 ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2ElexTO,axiom,
! [A_27a: d,A_27b: d,V0R_2E0: u,V1V_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 ) ) @ 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_2ETO__of__LinearOrder_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_2ELEX_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( c_2Etoto_2EStrongLinearOrder__of__TO_2E1 @ ( 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_2Emin_2Ebool ) ) @ ( c_2Etoto_2EStrongLinearOrder__of__TO_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2EternaryComparisons_2Eordering ) ) @ V1V_2E0 ) ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2Elextoto,axiom,
! [A_27a: d,A_27b: d,V0c_2E0: u,V1v_2E0: u] :
( ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( c_2Etoto_2Elextoto_2E2 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ ( tyop_2Etoto_2Etoto @ A_27b ) @ V1v_2E0 ) ) )
= ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( c_2Etoto_2ETO_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_2Etoto_2ElexTO_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27b ) @ V1v_2E0 ) ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2EnumOrd,axiom,
( mono_2Ec_2Etoto_2EnumOrd
= ( mono_2Ec_2Etoto_2ETO__of__LinearOrder_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Eprim__rec_2E_3C ) ) ).
thf(thm_2Etoto_2Enumto,axiom,
( mono_2Ec_2Etoto_2Enumto
= ( mono_2Ec_2Etoto_2ETO_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Etoto_2EnumOrd ) ) ).
thf(thm_2Etoto_2Enum__dt__TY__DEF,axiom,
! [F3: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,F2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,F1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29,F0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > $o] :
( ! [V8n: mono_2Etyop_2Enum_2Enum] :
( ( F3 @ V8n )
= mono_2Ec_2Eind__type_2EBOTTOM_2Emono_2Etyop_2Emin_2Ebool )
=> ( ! [V6n: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V6n )
= mono_2Ec_2Eind__type_2EBOTTOM_2Emono_2Etyop_2Emin_2Ebool )
=> ( ! [V4n: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V4n )
= mono_2Ec_2Eind__type_2EBOTTOM_2Emono_2Etyop_2Emin_2Ebool )
=> ( ! [V1a0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( F0 @ V1a0 )
<=> ! [V2_27num__dt_27: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > $o] :
( ! [V3a0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( ( V3a0
= ( mono_2Ec_2Eind__type_2ECONSTR_2Emono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Enum_2E0 @ mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Emin_2Ebool @ F1 ) )
| ? [V5a: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( V3a0
= ( mono_2Ec_2Eind__type_2ECONSTR_2Emono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) @ mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Eind__type_2EFCONS_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 @ V5a @ F2 ) ) )
& ( V2_27num__dt_27 @ V5a ) )
| ? [V7a: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( V3a0
= ( mono_2Ec_2Eind__type_2ECONSTR_2Emono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) ) @ mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Eind__type_2EFCONS_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 @ V7a @ F3 ) ) )
& ( V2_27num__dt_27 @ V7a ) ) )
=> ( V2_27num__dt_27 @ V3a0 ) )
=> ( V2_27num__dt_27 @ V1a0 ) ) )
=> ? [V0rep: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] : ( mono_2Ec_2Ebool_2ETYPE__DEFINITION_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_20mono_2Etyop_2Etoto_2Enum__dt @ F0 @ V0rep ) ) ) ) ) ).
thf(thm_2Etoto_2Enum__dt__case__def,axiom,
! [A_27a: d] :
( ! [V0v_2E0: u,V1f_2E0: u,V2f1_2E0: u] :
( ( s @ A_27a @ ( c_2Etoto_2Enum__dt__CASE_2E4 @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ mono_2Ec_2Etoto_2Ezer ) ) @ ( s @ A_27a @ V0v_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V1f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V2f1_2E0 ) ) )
= ( s @ A_27a @ V0v_2E0 ) )
& ! [V3a: mono_2Etyop_2Etoto_2Enum__dt,V4v_2E0: u,V5f_2E0: u,V6f1_2E0: u] :
( ( s @ A_27a @ ( c_2Etoto_2Enum__dt__CASE_2E4 @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ ( mono_2Ec_2Etoto_2Ebit1 @ V3a ) ) ) @ ( s @ A_27a @ V4v_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V5f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V6f1_2E0 ) ) )
= ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V5f_2E0 ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V3a ) ) ) ) )
& ! [V7a: mono_2Etyop_2Etoto_2Enum__dt,V8v_2E0: u,V9f_2E0: u,V10f1_2E0: u] :
( ( s @ A_27a @ ( c_2Etoto_2Enum__dt__CASE_2E4 @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ ( mono_2Ec_2Etoto_2Ebit2 @ V7a ) ) ) @ ( s @ A_27a @ V8v_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V9f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V10f1_2E0 ) ) )
= ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V10f1_2E0 ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V7a ) ) ) ) ) ) ).
thf(thm_2Etoto_2Enum__dt__size__def,axiom,
( ( ( mono_2Ec_2Etoto_2Enum__dt__size @ mono_2Ec_2Etoto_2Ezer )
= mono_2Ec_2Enum_2E0 )
& ! [V0a: mono_2Etyop_2Etoto_2Enum__dt] :
( ( mono_2Ec_2Etoto_2Enum__dt__size @ ( mono_2Ec_2Etoto_2Ebit1 @ V0a ) )
= ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ ( mono_2Ec_2Etoto_2Enum__dt__size @ V0a ) ) )
& ! [V1a: mono_2Etyop_2Etoto_2Enum__dt] :
( ( mono_2Ec_2Etoto_2Enum__dt__size @ ( mono_2Ec_2Etoto_2Ebit2 @ V1a ) )
= ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ ( mono_2Ec_2Etoto_2Enum__dt__size @ V1a ) ) ) ) ).
thf(thm_2Etoto_2Enum__to__dt__primitive,axiom,
! [F2: mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt,F0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o] :
( ! [V4a: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V4a )
<=> ( V4a = mono_2Ec_2Enum_2E0 ) )
=> ( ! [V3num__to__dt: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Etoto_2Enum__dt,V4a: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V3num__to__dt @ V4a )
= ( mono_2Ec_2Ecombin_2EI_2Emono_2Etyop_2Etoto_2Enum__dt @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Etoto_2Enum__dt @ ( F2 @ V4a ) @ mono_2Ec_2Etoto_2Ezer @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Etoto_2Enum__dt @ ( mono_2Ec_2Earithmetic_2EODD @ V4a ) @ ( mono_2Ec_2Etoto_2Ebit1 @ ( V3num__to__dt @ ( mono_2Ec_2Earithmetic_2EDIV2 @ ( mono_2Ec_2Earithmetic_2E_2D @ V4a @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( mono_2Ec_2Etoto_2Ebit2 @ ( V3num__to__dt @ ( mono_2Ec_2Earithmetic_2EDIV2 @ ( mono_2Ec_2Earithmetic_2E_2D @ V4a @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
=> ( ! [V0R: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
( ( F0 @ V0R )
<=> ( ( mono_2Ec_2Erelation_2EWF_2Emono_2Etyop_2Enum_2Enum @ V0R )
& ! [V1n: mono_2Etyop_2Enum_2Enum] :
( ( ( (~) @ ( V1n = mono_2Ec_2Enum_2E0 ) )
& ( mono_2Ec_2Earithmetic_2EODD @ V1n ) )
=> ( V0R @ ( mono_2Ec_2Earithmetic_2EDIV2 @ ( mono_2Ec_2Earithmetic_2E_2D @ V1n @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) @ V1n ) )
& ! [V2n: mono_2Etyop_2Enum_2Enum] :
( ( ( (~) @ ( V2n = mono_2Ec_2Enum_2E0 ) )
& ( (~) @ ( mono_2Ec_2Earithmetic_2EODD @ V2n ) ) )
=> ( V0R @ ( mono_2Ec_2Earithmetic_2EDIV2 @ ( mono_2Ec_2Earithmetic_2E_2D @ V2n @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) @ V2n ) ) ) )
=> ( mono_2Ec_2Etoto_2Enum__to__dt
= ( mono_2Ec_2Erelation_2EWFREC_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Etoto_2Enum__dt @ ( mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ F0 ) @ F1 ) ) ) ) ) ).
thf(thm_2Etoto_2Eqk__numOrd__def,axiom,
! [V0m: mono_2Etyop_2Enum_2Enum,V1n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Etoto_2Eqk__numOrd @ V0m @ V1n )
= ( mono_2Ec_2Etoto_2Enum__dtOrd @ ( mono_2Ec_2Etoto_2Enum__to__dt @ V0m ) @ ( mono_2Ec_2Etoto_2Enum__to__dt @ V1n ) ) ) ).
thf(thm_2Etoto_2Eqk__numto,axiom,
( mono_2Ec_2Etoto_2Eqk__numto
= ( mono_2Ec_2Etoto_2ETO_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Etoto_2Eqk__numOrd ) ) ).
thf(thm_2Etoto_2EcharOrd,axiom,
! [V0a: mono_2Etyop_2Estring_2Echar,V1b: mono_2Etyop_2Estring_2Echar] :
( ( mono_2Ec_2Etoto_2EcharOrd @ V0a @ V1b )
= ( mono_2Ec_2Etoto_2EnumOrd @ ( mono_2Ec_2Estring_2EORD @ V0a ) @ ( mono_2Ec_2Estring_2EORD @ V1b ) ) ) ).
thf(thm_2Etoto_2Echarto,axiom,
( mono_2Ec_2Etoto_2Echarto
= ( mono_2Ec_2Etoto_2ETO_2Emono_2Etyop_2Estring_2Echar @ mono_2Ec_2Etoto_2EcharOrd ) ) ).
thf(thm_2Etoto_2EListOrd,axiom,
! [A_27a: d,V0c_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 ) @ V0c_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_2Etoto_2Elistorder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( c_2Etoto_2EStrongLinearOrder__of__TO_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2Elistoto,axiom,
! [A_27a: d,V0c_2E0: u] :
( ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ A_27a ) ) @ ( c_2Etoto_2Elistoto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) )
= ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ A_27a ) ) @ ( c_2Etoto_2ETO_2E1 @ ( 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 ) @ V0c_2E0 ) ) ) ) ) ) ).
thf(thm_2Etoto_2Estringto,axiom,
( mono_2Ec_2Etoto_2Estringto
= ( mono_2Ec_2Etoto_2Elistoto_2Emono_2Etyop_2Estring_2Echar @ mono_2Ec_2Etoto_2Echarto ) ) ).
thf(thm_2Etoto_2EimageOrd,axiom,
! [A_27a: d,A_27c: d,V0f_2E0: u,V1cp_2E0: u,V2a_2E0: u,V3b_2E0: u] :
( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2EimageOrd_2E4 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ V0f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ ( tyop_2Emin_2Efun @ A_27c @ tyop_2EternaryComparisons_2Eordering ) ) @ V1cp_2E0 ) @ ( s @ A_27a @ V2a_2E0 ) @ ( s @ A_27a @ V3b_2E0 ) ) ) )
= ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ tyop_2EternaryComparisons_2Eordering ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ ( tyop_2Emin_2Efun @ A_27c @ tyop_2EternaryComparisons_2Eordering ) ) @ V1cp_2E0 ) @ ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ V0f_2E0 ) @ ( s @ A_27a @ V2a_2E0 ) ) ) ) ) @ ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ V0f_2E0 ) @ ( s @ A_27a @ V3b_2E0 ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2EStrongLinearOrderExists,axiom,
! [A_27a: d] :
? [V0R_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EStrongLinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R_2E0 ) ) ) ) ).
thf(thm_2Etoto_2Etrichotomous__ALT,axiom,
! [A_27a: d,V0R_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2Etrichotomous_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R_2E0 ) ) ) )
<=> ! [V1x_2E0: u,V2y_2E0: u] :
( ( ( (~) @ ( 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 ) ) @ V0R_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) @ ( s @ A_27a @ V2y_2E0 ) ) ) ) )
& ( (~) @ ( 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 ) ) @ V0R_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) )
=> ( ( s @ A_27a @ V1x_2E0 )
= ( s @ A_27a @ V2y_2E0 ) ) ) ) ).
thf(thm_2Etoto_2ETotOrd__TO__of__LO,axiom,
! [A_27a: d,V0r_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2ELinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0r_2E0 ) ) ) )
=> ( 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 ) ) @ ( c_2Etoto_2ETO__of__LinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0r_2E0 ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2ESPLIT__PAIRS,axiom,
! [A_27a: d,A_27b: d,V0p_2E0: u,V1q_2E0: u] :
( ( ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V0p_2E0 )
= ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V1q_2E0 ) )
<=> ( ( ( s @ A_27a @ ( c_2Epair_2EFST_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V0p_2E0 ) ) )
= ( s @ A_27a @ ( c_2Epair_2EFST_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V1q_2E0 ) ) ) )
& ( ( s @ A_27b @ ( c_2Epair_2ESND_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V0p_2E0 ) ) )
= ( s @ A_27b @ ( c_2Epair_2ESND_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V1q_2E0 ) ) ) ) ) ) ).
thf(thm_2Etoto_2Eall__cpn__distinct,axiom,
( ( (~) @ ( mono_2Ec_2EternaryComparisons_2ELESS = mono_2Ec_2EternaryComparisons_2EEQUAL ) )
& ( (~) @ ( mono_2Ec_2EternaryComparisons_2ELESS = mono_2Ec_2EternaryComparisons_2EGREATER ) )
& ( (~) @ ( mono_2Ec_2EternaryComparisons_2EEQUAL = mono_2Ec_2EternaryComparisons_2EGREATER ) )
& ( (~) @ ( mono_2Ec_2EternaryComparisons_2EEQUAL = mono_2Ec_2EternaryComparisons_2ELESS ) )
& ( (~) @ ( mono_2Ec_2EternaryComparisons_2EGREATER = mono_2Ec_2EternaryComparisons_2ELESS ) )
& ( (~) @ ( mono_2Ec_2EternaryComparisons_2EGREATER = mono_2Ec_2EternaryComparisons_2EEQUAL ) ) ) ).
thf(thm_2Etoto_2ETO__exists,axiom,
! [A_27a: d] :
? [V0x_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 ) ) @ V0x_2E0 ) ) ) ) ).
thf(thm_2Etoto_2ETO__apto__ID,axiom,
! [A_27a: d,V0a_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 ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0a_2E0 ) ) ) ) )
= ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0a_2E0 ) ) ).
thf(thm_2Etoto_2ETO__apto__TO__ID,axiom,
! [A_27a: d,V0r_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 ) ) @ V0r_2E0 ) ) ) )
<=> ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2Eapto_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 ) ) @ V0r_2E0 ) ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ V0r_2E0 ) ) ) ).
thf(thm_2Etoto_2ETO__11,axiom,
! [A_27a: d,V0r_2E0: u,V1r_27_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 ) ) @ V0r_2E0 ) ) ) )
=> ( ( 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 ) ) @ V1r_27_2E0 ) ) ) )
=> ( ( ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( c_2Etoto_2ETO_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ V0r_2E0 ) ) )
= ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( c_2Etoto_2ETO_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ V1r_27_2E0 ) ) ) )
<=> ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ V0r_2E0 )
= ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ V1r_27_2E0 ) ) ) ) ) ).
thf(thm_2Etoto_2Eonto__apto,axiom,
! [A_27a: d,V0r_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 ) ) @ V0r_2E0 ) ) ) )
<=> ? [V1a_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ V0r_2E0 )
= ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V1a_2E0 ) ) ) ) ) ).
thf(thm_2Etoto_2ETO__onto,axiom,
! [A_27a: d,V0a_2E0: u] :
? [V1r_2E0: u] :
( ( ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0a_2E0 )
= ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( c_2Etoto_2ETO_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ V1r_2E0 ) ) ) )
& ( 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 ) ) @ V1r_2E0 ) ) ) ) ) ).
thf(thm_2Etoto_2ETotOrd__apto,axiom,
! [A_27a: d,V0c_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 ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ) ) ) ) ).
thf(thm_2Etoto_2ETO__apto__TO__IMP,axiom,
! [A_27a: d,V0r_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 ) ) @ V0r_2E0 ) ) ) )
=> ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2Eapto_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 ) ) @ V0r_2E0 ) ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ V0r_2E0 ) ) ) ).
thf(thm_2Etoto_2Etoto__thm,axiom,
! [A_27a: d,V0c_2E0: u] :
( ! [V1x_2E0: u,V2y_2E0: u] :
( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL )
<=> ( ( s @ A_27a @ V1x_2E0 )
= ( s @ A_27a @ V2y_2E0 ) ) )
& ! [V3x_2E0: u,V4y_2E0: u] :
( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) @ ( s @ A_27a @ V4y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EGREATER )
<=> ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V4y_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) )
& ! [V5x_2E0: u,V6y_2E0: u,V7z_2E0: u] :
( ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V5x_2E0 ) @ ( s @ A_27a @ V6y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
& ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V6y_2E0 ) @ ( s @ A_27a @ V7z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) )
=> ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V5x_2E0 ) @ ( s @ A_27a @ V7z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) ) ) ).
thf(thm_2Etoto_2ETO__equal__eq,axiom,
! [A_27a: d,V0c_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 ) ) @ V0c_2E0 ) ) ) )
=> ! [V1x_2E0: u,V2y_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 ) ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL )
<=> ( ( s @ A_27a @ V1x_2E0 )
= ( s @ A_27a @ V2y_2E0 ) ) ) ) ).
thf(thm_2Etoto_2Etoto__equal__eq,axiom,
! [A_27a: d,V0c_2E0: u,V1x_2E0: u,V2y_2E0: u] :
( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL )
<=> ( ( s @ A_27a @ V1x_2E0 )
= ( s @ A_27a @ V2y_2E0 ) ) ) ).
thf(thm_2Etoto_2Etoto__equal__imp__eq,axiom,
! [A_27a: d,V0c_2E0: u,V1x_2E0: u,V2y_2E0: u] :
( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL )
=> ( ( s @ A_27a @ V1x_2E0 )
= ( s @ A_27a @ V2y_2E0 ) ) ) ).
thf(thm_2Etoto_2ETO__refl,axiom,
! [A_27a: d,V0c_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 ) ) @ V0c_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 ) ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) @ ( s @ A_27a @ V1x_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL ) ) ).
thf(thm_2Etoto_2Etoto__refl,axiom,
! [A_27a: d,V0c_2E0: u,V1x_2E0: u] :
( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL ) ).
thf(thm_2Etoto_2Etoto__equal__sym,axiom,
! [A_27a: d,V0c_2E0: u,V1x_2E0: u,V2y_2E0: u] :
( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL )
<=> ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL ) ) ).
thf(thm_2Etoto_2ETO__antisym,axiom,
! [A_27a: d,V0c_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 ) ) @ V0c_2E0 ) ) ) )
=> ! [V1x_2E0: u,V2y_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 ) ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EGREATER )
<=> ( ( 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 ) ) @ V0c_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) @ ( s @ A_27a @ V1x_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) ) ) ).
thf(thm_2Etoto_2Etoto__antisym,axiom,
! [A_27a: d,V0c_2E0: u,V1x_2E0: u,V2y_2E0: u] :
( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EGREATER )
<=> ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) ) ).
thf(thm_2Etoto_2Etoto__not__less__refl,axiom,
! [A_27a: d,V0cmp_2E0: u,V1h_2E0: u] :
( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0cmp_2E0 ) @ ( s @ A_27a @ V1h_2E0 ) @ ( s @ A_27a @ V1h_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
<=> mono_2Ec_2Ebool_2EF ) ).
thf(thm_2Etoto_2Etoto__swap__cases,axiom,
! [A_27a: d,V0c_2E0: u,V1x_2E0: u,V2y_2E0: u] :
( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2EternaryComparisons_2Eordering @ ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) ) @ mono_2Ec_2EternaryComparisons_2EGREATER @ mono_2Ec_2EternaryComparisons_2EEQUAL @ mono_2Ec_2EternaryComparisons_2ELESS ) ) ).
thf(thm_2Etoto_2Etoto__glneq,axiom,
! [A_27a: d] :
( ! [V0c_2E0: u,V1x_2E0: u,V2y_2E0: u] :
( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
=> ( (~)
@ ( ( s @ A_27a @ V1x_2E0 )
= ( s @ A_27a @ V2y_2E0 ) ) ) )
& ! [V3c_2E0: u,V4x_2E0: u,V5y_2E0: u] :
( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V3c_2E0 ) @ ( s @ A_27a @ V4x_2E0 ) @ ( s @ A_27a @ V5y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EGREATER )
=> ( (~)
@ ( ( s @ A_27a @ V4x_2E0 )
= ( s @ A_27a @ V5y_2E0 ) ) ) ) ) ).
thf(thm_2Etoto_2Etoto__cpn__eqn,axiom,
! [A_27a: d] :
( ! [V0c_2E0: u,V1x_2E0: u,V2y_2E0: u] :
( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL )
=> ( ( s @ A_27a @ V1x_2E0 )
= ( s @ A_27a @ V2y_2E0 ) ) )
& ! [V3c_2E0: u,V4x_2E0: u,V5y_2E0: u] :
( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V3c_2E0 ) @ ( s @ A_27a @ V4x_2E0 ) @ ( s @ A_27a @ V5y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
=> ( (~)
@ ( ( s @ A_27a @ V4x_2E0 )
= ( s @ A_27a @ V5y_2E0 ) ) ) )
& ! [V6c_2E0: u,V7x_2E0: u,V8y_2E0: u] :
( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V6c_2E0 ) @ ( s @ A_27a @ V7x_2E0 ) @ ( s @ A_27a @ V8y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EGREATER )
=> ( (~)
@ ( ( s @ A_27a @ V7x_2E0 )
= ( s @ A_27a @ V8y_2E0 ) ) ) ) ) ).
thf(thm_2Etoto_2ETO__cpn__eqn,axiom,
! [A_27a: d,V0c_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 ) ) @ V0c_2E0 ) ) ) )
=> ( ! [V1x_2E0: u,V2y_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 ) ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
=> ( (~)
@ ( ( s @ A_27a @ V1x_2E0 )
= ( s @ A_27a @ V2y_2E0 ) ) ) )
& ! [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 ) ) @ V0c_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) @ ( s @ A_27a @ V4y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EGREATER )
=> ( (~)
@ ( ( s @ A_27a @ V3x_2E0 )
= ( s @ A_27a @ V4y_2E0 ) ) ) )
& ! [V5x_2E0: u,V6y_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 ) ) @ V0c_2E0 ) @ ( s @ A_27a @ V5x_2E0 ) ) ) @ ( s @ A_27a @ V6y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL )
=> ( ( s @ A_27a @ V5x_2E0 )
= ( s @ A_27a @ V6y_2E0 ) ) ) ) ) ).
thf(thm_2Etoto_2ENOT__EQ__LESS__IMP,axiom,
! [A_27a: d,V0cmp_2E0: u,V1x_2E0: u,V2y_2E0: u] :
( ( (~)
@ ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0cmp_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) )
=> ( ( ( s @ A_27a @ V1x_2E0 )
= ( s @ A_27a @ V2y_2E0 ) )
| ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0cmp_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) ) ) ).
thf(thm_2Etoto_2EtotoEEtrans,axiom,
! [A_27a: d,V0c_2E0: u,V1x_2E0: u,V2y_2E0: u,V3z_2E0: u] :
( ( ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL )
& ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) @ ( s @ A_27a @ V3z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL ) )
=> ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V3z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL ) )
& ( ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL )
& ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V3z_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL ) )
=> ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V3z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL ) ) ) ).
thf(thm_2Etoto_2EtotoLLtrans,axiom,
! [A_27a: d,V0c_2E0: u,V1x_2E0: u,V2y_2E0: u,V3z_2E0: u] :
( ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
& ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) @ ( s @ A_27a @ V3z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) )
=> ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V3z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) ) ).
thf(thm_2Etoto_2EtotoLGtrans,axiom,
! [A_27a: d,V0c_2E0: u,V1x_2E0: u,V2y_2E0: u,V3z_2E0: u] :
( ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
& ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V3z_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EGREATER ) )
=> ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V3z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) ) ).
thf(thm_2Etoto_2EtotoGGtrans,axiom,
! [A_27a: d,V0c_2E0: u,V1x_2E0: u,V2y_2E0: u,V3z_2E0: u] :
( ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EGREATER )
& ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V3z_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EGREATER ) )
=> ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V3z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) ) ).
thf(thm_2Etoto_2EtotoGLtrans,axiom,
! [A_27a: d,V0c_2E0: u,V1x_2E0: u,V2y_2E0: u,V3z_2E0: u] :
( ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EGREATER )
& ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) @ ( s @ A_27a @ V3z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) )
=> ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V3z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) ) ).
thf(thm_2Etoto_2EtotoLEtrans,axiom,
! [A_27a: d,V0c_2E0: u,V1x_2E0: u,V2y_2E0: u,V3z_2E0: u] :
( ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
& ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) @ ( s @ A_27a @ V3z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL ) )
=> ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V3z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) ) ).
thf(thm_2Etoto_2EtotoELtrans,axiom,
! [A_27a: d,V0c_2E0: u,V1x_2E0: u,V2y_2E0: u,V3z_2E0: u] :
( ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL )
& ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) @ ( s @ A_27a @ V3z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) )
=> ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V3z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) ) ).
thf(thm_2Etoto_2Etoto__trans__less,axiom,
! [A_27a: d] :
( ! [V0c_2E0: u,V1x_2E0: u,V2y_2E0: u,V3z_2E0: u] :
( ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
& ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) @ ( s @ A_27a @ V3z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) )
=> ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V3z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) )
& ! [V4c_2E0: u,V5x_2E0: u,V6y_2E0: u,V7z_2E0: u] :
( ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V4c_2E0 ) @ ( s @ A_27a @ V5x_2E0 ) @ ( s @ A_27a @ V6y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
& ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V4c_2E0 ) @ ( s @ A_27a @ V7z_2E0 ) @ ( s @ A_27a @ V6y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EGREATER ) )
=> ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V4c_2E0 ) @ ( s @ A_27a @ V5x_2E0 ) @ ( s @ A_27a @ V7z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) )
& ! [V8c_2E0: u,V9x_2E0: u,V10y_2E0: u,V11z_2E0: u] :
( ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V8c_2E0 ) @ ( s @ A_27a @ V10y_2E0 ) @ ( s @ A_27a @ V9x_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EGREATER )
& ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V8c_2E0 ) @ ( s @ A_27a @ V11z_2E0 ) @ ( s @ A_27a @ V10y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EGREATER ) )
=> ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V8c_2E0 ) @ ( s @ A_27a @ V9x_2E0 ) @ ( s @ A_27a @ V11z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) )
& ! [V12c_2E0: u,V13x_2E0: u,V14y_2E0: u,V15z_2E0: u] :
( ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V12c_2E0 ) @ ( s @ A_27a @ V14y_2E0 ) @ ( s @ A_27a @ V13x_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EGREATER )
& ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V12c_2E0 ) @ ( s @ A_27a @ V14y_2E0 ) @ ( s @ A_27a @ V15z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) )
=> ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V12c_2E0 ) @ ( s @ A_27a @ V13x_2E0 ) @ ( s @ A_27a @ V15z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) )
& ! [V16c_2E0: u,V17x_2E0: u,V18y_2E0: u,V19z_2E0: u] :
( ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V16c_2E0 ) @ ( s @ A_27a @ V17x_2E0 ) @ ( s @ A_27a @ V18y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
& ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V16c_2E0 ) @ ( s @ A_27a @ V18y_2E0 ) @ ( s @ A_27a @ V19z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL ) )
=> ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V16c_2E0 ) @ ( s @ A_27a @ V17x_2E0 ) @ ( s @ A_27a @ V19z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) )
& ! [V20c_2E0: u,V21x_2E0: u,V22y_2E0: u,V23z_2E0: u] :
( ( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V20c_2E0 ) @ ( s @ A_27a @ V21x_2E0 ) @ ( s @ A_27a @ V22y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL )
& ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V20c_2E0 ) @ ( s @ A_27a @ V22y_2E0 ) @ ( s @ A_27a @ V23z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) )
=> ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V20c_2E0 ) @ ( s @ A_27a @ V21x_2E0 ) @ ( s @ A_27a @ V23z_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) ) ) ).
thf(thm_2Etoto_2EWeak__Weak__of,axiom,
! [A_27a: d,V0c_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EWeakLinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( c_2Etoto_2EWeakLinearOrder__of__TO_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2ESTRORD__SLO,axiom,
! [A_27a: d,V0R_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EWeakLinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R_2E0 ) ) ) )
=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EStrongLinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( c_2Erelation_2ESTRORD_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R_2E0 ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2EStrongof__toto__STRORD,axiom,
! [A_27a: d,V0c_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( c_2Etoto_2EStrongLinearOrder__of__TO_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( c_2Erelation_2ESTRORD_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( c_2Etoto_2EWeakLinearOrder__of__TO_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2EStrong__Strong__of,axiom,
! [A_27a: d,V0c_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EStrongLinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( c_2Etoto_2EStrongLinearOrder__of__TO_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2EStrong__Strong__of__TO,axiom,
! [A_27a: d,V0c_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 ) ) @ V0c_2E0 ) ) ) )
=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EStrongLinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( c_2Etoto_2EStrongLinearOrder__of__TO_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ V0c_2E0 ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2ETotOrd__TO__of__Weak,axiom,
! [A_27a: d,V0r_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EWeakLinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0r_2E0 ) ) ) )
=> ( 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 ) ) @ ( c_2Etoto_2ETO__of__LinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0r_2E0 ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2ETotOrd__TO__of__Strong,axiom,
! [A_27a: d,V0r_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EStrongLinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0r_2E0 ) ) ) )
=> ( 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 ) ) @ ( c_2Etoto_2ETO__of__LinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0r_2E0 ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2Etoto__Weak__thm,axiom,
! [A_27a: d,V0c_2E0: u] :
( ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( c_2Etoto_2Etoto__of__LinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( c_2Etoto_2EWeakLinearOrder__of__TO_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ) ) ) ) )
= ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ).
thf(thm_2Etoto_2Etoto__Strong__thm,axiom,
! [A_27a: d,V0c_2E0: u] :
( ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( c_2Etoto_2Etoto__of__LinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( c_2Etoto_2EStrongLinearOrder__of__TO_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ) ) ) ) )
= ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ).
thf(thm_2Etoto_2EWeak__toto__thm,axiom,
! [A_27a: d,V0r_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EWeakLinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0r_2E0 ) ) ) )
=> ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( c_2Etoto_2EWeakLinearOrder__of__TO_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( c_2Etoto_2Etoto__of__LinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0r_2E0 ) ) ) ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0r_2E0 ) ) ) ).
thf(thm_2Etoto_2EStrong__toto__thm,axiom,
! [A_27a: d,V0r_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EStrongLinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0r_2E0 ) ) ) )
=> ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( c_2Etoto_2EStrongLinearOrder__of__TO_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( c_2Etoto_2Etoto__of__LinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0r_2E0 ) ) ) ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0r_2E0 ) ) ) ).
thf(thm_2Etoto_2ETotOrd__inv,axiom,
! [A_27a: d,V0c_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 ) ) @ V0c_2E0 ) ) ) )
=> ( 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 ) ) @ ( c_2Etoto_2ETO__inv_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ V0c_2E0 ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2Einv__TO,axiom,
! [A_27a: d,V0r_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 ) ) @ V0r_2E0 ) ) ) )
=> ( ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( c_2Etoto_2Etoto__inv_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 ) ) @ V0r_2E0 ) ) ) ) )
= ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( c_2Etoto_2ETO_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 ) ) @ V0r_2E0 ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2Eapto__inv,axiom,
! [A_27a: d,V0c_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( c_2Etoto_2Etoto__inv_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ 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 ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ) ) ) ) ).
thf(thm_2Etoto_2EWeak__toto__inv,axiom,
! [A_27a: d,V0c_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( c_2Etoto_2EWeakLinearOrder__of__TO_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( c_2Etoto_2Etoto__inv_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ) ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( c_2Erelation_2Einv_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( c_2Etoto_2EWeakLinearOrder__of__TO_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2EStrong__toto__inv,axiom,
! [A_27a: d,V0c_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( c_2Etoto_2EStrongLinearOrder__of__TO_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( c_2Etoto_2Etoto__inv_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ) ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( c_2Erelation_2Einv_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( c_2Etoto_2EStrongLinearOrder__of__TO_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2Eapto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2ETO__inv__TO__inv,axiom,
! [A_27a: d,V0c_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 ) ) @ ( 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 ) ) @ V0c_2E0 ) ) ).
thf(thm_2Etoto_2Etoto__inv__toto__inv,axiom,
! [A_27a: d,V0c_2E0: u] :
( ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( c_2Etoto_2Etoto__inv_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( c_2Etoto_2Etoto__inv_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ) ) )
= ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ).
thf(thm_2Etoto_2ETO__inv__Ord,axiom,
! [A_27a: d,V0r_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 ) ) @ ( c_2Erelation_2Einv_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0r_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 ) ) @ ( c_2Etoto_2ETO__of__LinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0r_2E0 ) ) ) ) ) ) ).
thf(thm_2Etoto_2ETO__of__less__rel,axiom,
! [A_27a: d,V0r_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EStrongLinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0r_2E0 ) ) ) )
=> ! [V1x_2E0: u,V2y_2E0: u] :
( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2ETO__of__LinearOrder_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0r_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
<=> ( 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 ) ) @ V0r_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) @ ( s @ A_27a @ V2y_2E0 ) ) ) ) ) ) ).
thf(thm_2Etoto_2ETO__of__greater__ler,axiom,
! [A_27a: d,V0r_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EStrongLinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0r_2E0 ) ) ) )
=> ! [V1x_2E0: u,V2y_2E0: u] :
( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2ETO__of__LinearOrder_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0r_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EGREATER )
<=> ( 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 ) ) @ V0r_2E0 ) @ ( s @ A_27a @ V2y_2E0 ) ) ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ) ).
thf(thm_2Etoto_2Etoto__equal__imp,axiom,
! [A_27a: d,V0cmp_2E0: u,V1phi_2E0: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2ELinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V1phi_2E0 ) ) ) )
& ( ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0cmp_2E0 )
= ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( c_2Etoto_2Etoto__of__LinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V1phi_2E0 ) ) ) ) )
=> ! [V2x_2E0: u,V3y_2E0: u] :
( ( ( ( s @ A_27a @ V2x_2E0 )
= ( s @ A_27a @ V3y_2E0 ) )
<=> mono_2Ec_2Ebool_2ET )
=> ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0cmp_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) @ ( s @ A_27a @ V3y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL ) ) ) ).
thf(thm_2Etoto_2Etoto__unequal__imp,axiom,
! [A_27a: d,F0_2E0: u,F1_2E0: u] :
( ! [V0cmp_2E0: u,V2x_2E0: u,V3y_2E0: u] :
( ( 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_2Etoto_2Etoto @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) ) @ F0_2E0 ) @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0cmp_2E0 ) ) ) @ ( s @ A_27a @ V2x_2E0 ) ) ) @ ( s @ A_27a @ V3y_2E0 ) ) ) )
<=> ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0cmp_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) @ ( s @ A_27a @ V3y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) )
=> ( ! [V0cmp_2E0: u,V2x_2E0: u,V3y_2E0: u] :
( ( 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_2Etoto_2Etoto @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) ) @ F1_2E0 ) @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0cmp_2E0 ) ) ) @ ( s @ A_27a @ V2x_2E0 ) ) ) @ ( s @ A_27a @ V3y_2E0 ) ) ) )
<=> ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0cmp_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) @ ( s @ A_27a @ V3y_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EGREATER ) )
=> ! [V0cmp_2E0: u,V1phi_2E0: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2ELinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V1phi_2E0 ) ) ) )
& ( ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0cmp_2E0 )
= ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ ( c_2Etoto_2Etoto__of__LinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V1phi_2E0 ) ) ) ) )
=> ! [V2x_2E0: u,V3y_2E0: u] :
( ( ( ( s @ A_27a @ V2x_2E0 )
= ( s @ A_27a @ V3y_2E0 ) )
<=> mono_2Ec_2Ebool_2EF )
=> ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool @ ( 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 ) ) @ V1phi_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) @ ( s @ A_27a @ V3y_2E0 ) ) ) ) @ ( 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_2Etoto_2Etoto @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) ) @ F0_2E0 ) @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0cmp_2E0 ) ) ) @ ( s @ A_27a @ V2x_2E0 ) ) ) @ ( s @ A_27a @ V3y_2E0 ) ) ) ) @ ( 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_2Etoto_2Etoto @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) ) @ F1_2E0 ) @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0cmp_2E0 ) ) ) @ ( s @ A_27a @ V2x_2E0 ) ) ) @ ( s @ A_27a @ V3y_2E0 ) ) ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2EStrongOrder__ALT,axiom,
! [A_27a: d,V0Z_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EStrongOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0Z_2E0 ) ) ) )
<=> ( ( 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 ) ) @ V0Z_2E0 ) ) ) )
& ( 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 ) ) @ V0Z_2E0 ) ) ) ) ) ) ).
thf(thm_2Etoto_2ELEX__ALT,axiom,
! [A_27a: d,A_27b: d,V0R_2E0: u,V1U_2E0: u,V2c_2E0: u,V3d_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epair_2ELEX_2E4 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V1U_2E0 ) @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V2c_2E0 ) @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V3d_2E0 ) ) ) )
<=> ( ( 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 ) ) @ V0R_2E0 ) @ ( s @ A_27a @ ( c_2Epair_2EFST_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V2c_2E0 ) ) ) ) ) @ ( s @ A_27a @ ( c_2Epair_2EFST_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V3d_2E0 ) ) ) ) ) )
| ( ( ( s @ A_27a @ ( c_2Epair_2EFST_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V2c_2E0 ) ) )
= ( s @ A_27a @ ( c_2Epair_2EFST_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V3d_2E0 ) ) ) )
& ( 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_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V1U_2E0 ) @ ( s @ A_27b @ ( c_2Epair_2ESND_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V2c_2E0 ) ) ) ) ) @ ( s @ A_27b @ ( c_2Epair_2ESND_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V3d_2E0 ) ) ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2ESLO__LEX,axiom,
! [A_27a: d,A_27b: d,V0R_2E0: u,V1V_2E0: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EStrongLinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R_2E0 ) ) ) )
& ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EStrongLinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V1V_2E0 ) ) ) ) )
=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EStrongLinearOrder_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_2ELEX_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V1V_2E0 ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2ElexTO__thm,axiom,
! [A_27a: d,A_27b: d,V0R_2E0: u,V1V_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 ) ) @ V0R_2E0 ) ) ) )
& ( 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 ) ) ) ) )
=> ! [V2x_2E0: u,V3y_2E0: u] :
( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2ElexTO_2E4 @ ( 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_2Epair_2Eprod @ A_27a @ A_27b ) @ V2x_2E0 ) @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V3y_2E0 ) ) ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2EternaryComparisons_2Eordering @ ( 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 ) ) @ V0R_2E0 ) @ ( s @ A_27a @ ( c_2Epair_2EFST_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V2x_2E0 ) ) ) ) ) @ ( s @ A_27a @ ( c_2Epair_2EFST_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V3y_2E0 ) ) ) ) ) ) @ mono_2Ec_2EternaryComparisons_2ELESS @ ( 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 ) ) @ V1V_2E0 ) @ ( s @ A_27b @ ( c_2Epair_2ESND_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V2x_2E0 ) ) ) ) ) @ ( s @ A_27b @ ( c_2Epair_2ESND_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V3y_2E0 ) ) ) ) ) ) @ mono_2Ec_2EternaryComparisons_2EGREATER ) ) ) ).
thf(thm_2Etoto_2ElexTO__ALT,axiom,
! [A_27a: d,A_27b: d,F1_2E0: u,F0_2E0: u] :
( ! [V0R_2E0: u,V1V_2E0: u,V2r_2E0: u,V3u_2E0: u,V4r_27_2E0: u,V5u_27_2E0: u] :
( ( 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_27b @ ( 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_27b @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ 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 @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ ( 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 @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2EternaryComparisons_2Eordering ) ) @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ ( 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 ) ) @ V0R_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2EternaryComparisons_2Eordering ) ) @ V1V_2E0 ) ) ) @ ( s @ A_27a @ V2r_2E0 ) ) ) @ ( s @ A_27b @ V3u_2E0 ) ) ) @ ( s @ A_27a @ V4r_27_2E0 ) ) ) @ ( s @ A_27b @ V5u_27_2E0 ) ) ) )
<=> ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2ElexTO_2E4 @ ( 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_2Epair_2Eprod @ A_27a @ A_27b ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ A_27a @ V2r_2E0 ) @ ( s @ A_27b @ V3u_2E0 ) ) ) @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ A_27a @ V4r_27_2E0 ) @ ( s @ A_27b @ V5u_27_2E0 ) ) ) ) ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2EternaryComparisons_2Eordering @ ( 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 ) ) @ V0R_2E0 ) @ ( s @ A_27a @ V2r_2E0 ) ) ) @ ( s @ A_27a @ V4r_27_2E0 ) ) ) ) @ mono_2Ec_2EternaryComparisons_2ELESS @ ( 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 ) ) @ V1V_2E0 ) @ ( s @ A_27b @ V3u_2E0 ) ) ) @ ( s @ A_27b @ V5u_27_2E0 ) ) ) ) @ mono_2Ec_2EternaryComparisons_2EGREATER ) ) )
=> ( ! [V0R_2E0: u,V1V_2E0: u,V2r_2E0: u,V3u_2E0: u] :
( ( 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_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2EternaryComparisons_2Eordering ) ) @ ( 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 @ ( tyop_2Emin_2Efun @ A_27b @ ( 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_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ V0R_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2EternaryComparisons_2Eordering ) ) @ V1V_2E0 ) ) ) @ ( s @ A_27a @ V2r_2E0 ) ) ) @ ( s @ A_27b @ V3u_2E0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( 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_27b @ ( 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_27b @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ 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 @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ ( 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 @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2EternaryComparisons_2Eordering ) ) @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ ( 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 ) ) @ V0R_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2EternaryComparisons_2Eordering ) ) @ V1V_2E0 ) ) ) @ ( s @ A_27a @ V2r_2E0 ) ) ) @ ( s @ A_27b @ V3u_2E0 ) ) ) ) ) ) ) ) )
=> ! [V0R_2E0: u,V1V_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 ) ) @ V0R_2E0 ) ) ) )
& ( 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 ) ) ) ) )
=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( 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 @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2EternaryComparisons_2Eordering ) ) @ ( 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 @ ( tyop_2Emin_2Efun @ A_27b @ ( 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_27a @ tyop_2EternaryComparisons_2Eordering ) ) @ V0R_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2EternaryComparisons_2Eordering ) ) @ V1V_2E0 ) ) ) ) ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2ETO__lexTO,axiom,
! [A_27a: d,A_27b: d,V0R_2E0: u,V1V_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 ) ) @ V0R_2E0 ) ) ) )
& ( 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 ) ) ) ) )
=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Etoto_2ETotOrd_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_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 ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2Epre__aplextoto,axiom,
! [A_27a: d,A_27b: d,V0c_2E0: u,V1v_2E0: u,V2x_2E0: u,V3y_2E0: u] :
( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( c_2Etoto_2Elextoto_2E2 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ ( tyop_2Etoto_2Etoto @ A_27b ) @ V1v_2E0 ) ) ) @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V2x_2E0 ) @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V3y_2E0 ) ) ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2EternaryComparisons_2Eordering @ ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ ( c_2Epair_2EFST_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V2x_2E0 ) ) ) @ ( s @ A_27a @ ( c_2Epair_2EFST_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V3y_2E0 ) ) ) ) ) ) @ mono_2Ec_2EternaryComparisons_2ELESS @ ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27b ) @ V1v_2E0 ) @ ( s @ A_27b @ ( c_2Epair_2ESND_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V2x_2E0 ) ) ) @ ( s @ A_27b @ ( c_2Epair_2ESND_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ V3y_2E0 ) ) ) ) ) ) @ mono_2Ec_2EternaryComparisons_2EGREATER ) ) ).
thf(thm_2Etoto_2Eaplextoto,axiom,
! [A_27a: d,A_27b: d,V0c_2E0: u,V1v_2E0: u,V2x1_2E0: u,V3x2_2E0: u,V4y1_2E0: u,V5y2_2E0: u] :
( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( c_2Etoto_2Elextoto_2E2 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ ( tyop_2Etoto_2Etoto @ A_27b ) @ V1v_2E0 ) ) ) @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ A_27a @ V2x1_2E0 ) @ ( s @ A_27b @ V3x2_2E0 ) ) ) @ ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ A_27a @ V4y1_2E0 ) @ ( s @ A_27b @ V5y2_2E0 ) ) ) ) ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2EternaryComparisons_2Eordering @ ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V2x1_2E0 ) @ ( s @ A_27a @ V4y1_2E0 ) ) ) ) @ mono_2Ec_2EternaryComparisons_2ELESS @ ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27b ) @ V1v_2E0 ) @ ( s @ A_27b @ V3x2_2E0 ) @ ( s @ A_27b @ V5y2_2E0 ) ) ) ) @ mono_2Ec_2EternaryComparisons_2EGREATER ) ) ).
thf(thm_2Etoto_2EStrongLinearOrder__LESS,axiom,
mono_2Ec_2Erelation_2EStrongLinearOrder_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Eprim__rec_2E_3C ).
thf(thm_2Etoto_2ETO__numOrd,axiom,
mono_2Ec_2Etoto_2ETotOrd_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Etoto_2EnumOrd ).
thf(thm_2Etoto_2Eapnumto__thm,axiom,
( ( mono_2Ec_2Etoto_2Eapto_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Etoto_2Enumto )
= mono_2Ec_2Etoto_2EnumOrd ) ).
thf(thm_2Etoto_2EnumeralOrd,axiom,
! [V0x: mono_2Etyop_2Enum_2Enum,V1y: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Etoto_2EnumOrd @ mono_2Ec_2Earithmetic_2EZERO @ mono_2Ec_2Earithmetic_2EZERO )
= mono_2Ec_2EternaryComparisons_2EEQUAL )
& ( ( mono_2Ec_2Etoto_2EnumOrd @ mono_2Ec_2Earithmetic_2EZERO @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V1y ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
& ( ( mono_2Ec_2Etoto_2EnumOrd @ mono_2Ec_2Earithmetic_2EZERO @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V1y ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
& ( ( mono_2Ec_2Etoto_2EnumOrd @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V0x ) @ mono_2Ec_2Earithmetic_2EZERO )
= mono_2Ec_2EternaryComparisons_2EGREATER )
& ( ( mono_2Ec_2Etoto_2EnumOrd @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V0x ) @ mono_2Ec_2Earithmetic_2EZERO )
= mono_2Ec_2EternaryComparisons_2EGREATER )
& ( ( mono_2Ec_2Etoto_2EnumOrd @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V0x ) @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V1y ) )
= ( mono_2Ec_2Etoto_2EnumOrd @ V0x @ V1y ) )
& ( ( mono_2Ec_2Etoto_2EnumOrd @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V0x ) @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V1y ) )
= ( mono_2Ec_2Etoto_2EnumOrd @ V0x @ V1y ) )
& ( ( mono_2Ec_2Etoto_2EnumOrd @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V0x ) @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V1y ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2EternaryComparisons_2Eordering @ ( mono_2Ec_2Etoto_2EnumOrd @ V0x @ V1y ) @ mono_2Ec_2EternaryComparisons_2ELESS @ mono_2Ec_2EternaryComparisons_2ELESS @ mono_2Ec_2EternaryComparisons_2EGREATER ) )
& ( ( mono_2Ec_2Etoto_2EnumOrd @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V0x ) @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V1y ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2EternaryComparisons_2Eordering @ ( mono_2Ec_2Etoto_2EnumOrd @ V0x @ V1y ) @ mono_2Ec_2EternaryComparisons_2ELESS @ mono_2Ec_2EternaryComparisons_2EGREATER @ mono_2Ec_2EternaryComparisons_2EGREATER ) ) ) ).
thf(thm_2Etoto_2Edatatype__num__dt,axiom,
! [V0num__dt: mono_2Etyop_2Etoto_2Enum__dt > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > ( mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt ) > $o] : ( mono_2Ec_2Ebool_2EDATATYPE_2Emono_2Etyop_2Emin_2Ebool @ ( V0num__dt @ mono_2Ec_2Etoto_2Ezer @ mono_2Ec_2Etoto_2Ebit1 @ mono_2Ec_2Etoto_2Ebit2 ) ) ).
thf(thm_2Etoto_2Enum__dt__11,axiom,
( ! [V0a: mono_2Etyop_2Etoto_2Enum__dt,V1a_27: mono_2Etyop_2Etoto_2Enum__dt] :
( ( ( mono_2Ec_2Etoto_2Ebit1 @ V0a )
= ( mono_2Ec_2Etoto_2Ebit1 @ V1a_27 ) )
<=> ( V0a = V1a_27 ) )
& ! [V2a: mono_2Etyop_2Etoto_2Enum__dt,V3a_27: mono_2Etyop_2Etoto_2Enum__dt] :
( ( ( mono_2Ec_2Etoto_2Ebit2 @ V2a )
= ( mono_2Ec_2Etoto_2Ebit2 @ V3a_27 ) )
<=> ( V2a = V3a_27 ) ) ) ).
thf(thm_2Etoto_2Enum__dt__distinct,axiom,
( ! [V0a: mono_2Etyop_2Etoto_2Enum__dt] :
( (~)
@ ( mono_2Ec_2Etoto_2Ezer
= ( mono_2Ec_2Etoto_2Ebit1 @ V0a ) ) )
& ! [V1a: mono_2Etyop_2Etoto_2Enum__dt] :
( (~)
@ ( mono_2Ec_2Etoto_2Ezer
= ( mono_2Ec_2Etoto_2Ebit2 @ V1a ) ) )
& ! [V2a_27: mono_2Etyop_2Etoto_2Enum__dt,V3a: mono_2Etyop_2Etoto_2Enum__dt] :
( (~)
@ ( ( mono_2Ec_2Etoto_2Ebit1 @ V3a )
= ( mono_2Ec_2Etoto_2Ebit2 @ V2a_27 ) ) ) ) ).
thf(thm_2Etoto_2Enum__dt__nchotomy,axiom,
! [V0nn: mono_2Etyop_2Etoto_2Enum__dt] :
( ( V0nn = mono_2Ec_2Etoto_2Ezer )
| ? [V1n: mono_2Etyop_2Etoto_2Enum__dt] :
( V0nn
= ( mono_2Ec_2Etoto_2Ebit1 @ V1n ) )
| ? [V2n: mono_2Etyop_2Etoto_2Enum__dt] :
( V0nn
= ( mono_2Ec_2Etoto_2Ebit2 @ V2n ) ) ) ).
thf(thm_2Etoto_2Enum__dt__Axiom,axiom,
! [A_27a: d,V0f0_2E0: u,V1f1_2E0: u,V2f2_2E0: u] :
? [V3fn_2E0: u] :
( ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V3fn_2E0 ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ mono_2Ec_2Etoto_2Ezer ) ) ) )
= ( s @ A_27a @ V0f0_2E0 ) )
& ! [V4a: mono_2Etyop_2Etoto_2Enum__dt] :
( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V3fn_2E0 ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ ( mono_2Ec_2Etoto_2Ebit1 @ V4a ) ) ) ) )
= ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) @ V1f1_2E0 ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V4a ) ) ) ) @ ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V3fn_2E0 ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V4a ) ) ) ) ) ) )
& ! [V5a: mono_2Etyop_2Etoto_2Enum__dt] :
( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V3fn_2E0 ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ ( mono_2Ec_2Etoto_2Ebit2 @ V5a ) ) ) ) )
= ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) @ V2f2_2E0 ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V5a ) ) ) ) @ ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V3fn_2E0 ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V5a ) ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2Enum__dt__induction,axiom,
! [V0P: mono_2Etyop_2Etoto_2Enum__dt > $o] :
( ( ( V0P @ mono_2Ec_2Etoto_2Ezer )
& ! [V1n: mono_2Etyop_2Etoto_2Enum__dt] :
( ( V0P @ V1n )
=> ( V0P @ ( mono_2Ec_2Etoto_2Ebit1 @ V1n ) ) )
& ! [V2n: mono_2Etyop_2Etoto_2Enum__dt] :
( ( V0P @ V2n )
=> ( V0P @ ( mono_2Ec_2Etoto_2Ebit2 @ V2n ) ) ) )
=> ! [V3n: mono_2Etyop_2Etoto_2Enum__dt] : ( V0P @ V3n ) ) ).
thf(thm_2Etoto_2Enum__dt__case__cong,axiom,
! [A_27a: d,V0v_27_2E0: u,V1f1_27_2E0: u,V2f_27_2E0: u,V3M: mono_2Etyop_2Etoto_2Enum__dt,V4M_27: mono_2Etyop_2Etoto_2Enum__dt,V5v_2E0: u,V6f_2E0: u,V7f1_2E0: u] :
( ( ( V3M = V4M_27 )
& ( ( V4M_27 = mono_2Ec_2Etoto_2Ezer )
=> ( ( s @ A_27a @ V5v_2E0 )
= ( s @ A_27a @ V0v_27_2E0 ) ) )
& ! [V8a: mono_2Etyop_2Etoto_2Enum__dt] :
( ( V4M_27
= ( mono_2Ec_2Etoto_2Ebit1 @ V8a ) )
=> ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V6f_2E0 ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V8a ) ) ) )
= ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V2f_27_2E0 ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V8a ) ) ) ) ) )
& ! [V9a: mono_2Etyop_2Etoto_2Enum__dt] :
( ( V4M_27
= ( mono_2Ec_2Etoto_2Ebit2 @ V9a ) )
=> ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V7f1_2E0 ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V9a ) ) ) )
= ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V1f1_27_2E0 ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V9a ) ) ) ) ) ) )
=> ( ( s @ A_27a @ ( c_2Etoto_2Enum__dt__CASE_2E4 @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V3M ) ) @ ( s @ A_27a @ V5v_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V6f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V7f1_2E0 ) ) )
= ( s @ A_27a @ ( c_2Etoto_2Enum__dt__CASE_2E4 @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V4M_27 ) ) @ ( s @ A_27a @ V0v_27_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V2f_27_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V1f1_27_2E0 ) ) ) ) ) ).
thf(thm_2Etoto_2Enum__dt__case__eq,axiom,
! [A_27a: d,V0x: mono_2Etyop_2Etoto_2Enum__dt,V1v_27_2E0: u,V2v_2E0: u,V3f1_2E0: u,V4f_2E0: u] :
( ( ( s @ A_27a @ ( c_2Etoto_2Enum__dt__CASE_2E4 @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V0x ) ) @ ( s @ A_27a @ V2v_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V4f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V3f1_2E0 ) ) )
= ( s @ A_27a @ V1v_27_2E0 ) )
<=> ( ( ( V0x = mono_2Ec_2Etoto_2Ezer )
& ( ( s @ A_27a @ V2v_2E0 )
= ( s @ A_27a @ V1v_27_2E0 ) ) )
| ? [V5n: mono_2Etyop_2Etoto_2Enum__dt] :
( ( V0x
= ( mono_2Ec_2Etoto_2Ebit1 @ V5n ) )
& ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V4f_2E0 ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V5n ) ) ) )
= ( s @ A_27a @ V1v_27_2E0 ) ) )
| ? [V6n: mono_2Etyop_2Etoto_2Enum__dt] :
( ( V0x
= ( mono_2Ec_2Etoto_2Ebit2 @ V6n ) )
& ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Etoto_2Enum__dt @ A_27a ) @ V3f1_2E0 ) @ ( s @ tyop_2Etoto_2Enum__dt @ ( i_mono_2Etyop_2Etoto_2Enum__dt @ V6n ) ) ) )
= ( s @ A_27a @ V1v_27_2E0 ) ) ) ) ) ).
thf(thm_2Etoto_2Enum__dtOrd__ind,axiom,
! [V0P: mono_2Etyop_2Etoto_2Enum__dt > mono_2Etyop_2Etoto_2Enum__dt > $o] :
( ( ( V0P @ mono_2Ec_2Etoto_2Ezer @ mono_2Ec_2Etoto_2Ezer )
& ! [V1x: mono_2Etyop_2Etoto_2Enum__dt] : ( V0P @ mono_2Ec_2Etoto_2Ezer @ ( mono_2Ec_2Etoto_2Ebit1 @ V1x ) )
& ! [V2x: mono_2Etyop_2Etoto_2Enum__dt] : ( V0P @ mono_2Ec_2Etoto_2Ezer @ ( mono_2Ec_2Etoto_2Ebit2 @ V2x ) )
& ! [V3x: mono_2Etyop_2Etoto_2Enum__dt] : ( V0P @ ( mono_2Ec_2Etoto_2Ebit1 @ V3x ) @ mono_2Ec_2Etoto_2Ezer )
& ! [V4x: mono_2Etyop_2Etoto_2Enum__dt] : ( V0P @ ( mono_2Ec_2Etoto_2Ebit2 @ V4x ) @ mono_2Ec_2Etoto_2Ezer )
& ! [V5x: mono_2Etyop_2Etoto_2Enum__dt,V6y: mono_2Etyop_2Etoto_2Enum__dt] : ( V0P @ ( mono_2Ec_2Etoto_2Ebit1 @ V5x ) @ ( mono_2Ec_2Etoto_2Ebit2 @ V6y ) )
& ! [V7x: mono_2Etyop_2Etoto_2Enum__dt,V8y: mono_2Etyop_2Etoto_2Enum__dt] : ( V0P @ ( mono_2Ec_2Etoto_2Ebit2 @ V7x ) @ ( mono_2Ec_2Etoto_2Ebit1 @ V8y ) )
& ! [V9x: mono_2Etyop_2Etoto_2Enum__dt,V10y: mono_2Etyop_2Etoto_2Enum__dt] :
( ( V0P @ V9x @ V10y )
=> ( V0P @ ( mono_2Ec_2Etoto_2Ebit1 @ V9x ) @ ( mono_2Ec_2Etoto_2Ebit1 @ V10y ) ) )
& ! [V11x: mono_2Etyop_2Etoto_2Enum__dt,V12y: mono_2Etyop_2Etoto_2Enum__dt] :
( ( V0P @ V11x @ V12y )
=> ( V0P @ ( mono_2Ec_2Etoto_2Ebit2 @ V11x ) @ ( mono_2Ec_2Etoto_2Ebit2 @ V12y ) ) ) )
=> ! [V13v: mono_2Etyop_2Etoto_2Enum__dt,V14v1: mono_2Etyop_2Etoto_2Enum__dt] : ( V0P @ V13v @ V14v1 ) ) ).
thf(thm_2Etoto_2Enum__dtOrd,axiom,
( ( ( mono_2Ec_2Etoto_2Enum__dtOrd @ mono_2Ec_2Etoto_2Ezer @ mono_2Ec_2Etoto_2Ezer )
= mono_2Ec_2EternaryComparisons_2EEQUAL )
& ! [V0x: mono_2Etyop_2Etoto_2Enum__dt] :
( ( mono_2Ec_2Etoto_2Enum__dtOrd @ mono_2Ec_2Etoto_2Ezer @ ( mono_2Ec_2Etoto_2Ebit1 @ V0x ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
& ! [V1x: mono_2Etyop_2Etoto_2Enum__dt] :
( ( mono_2Ec_2Etoto_2Enum__dtOrd @ mono_2Ec_2Etoto_2Ezer @ ( mono_2Ec_2Etoto_2Ebit2 @ V1x ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
& ! [V2x: mono_2Etyop_2Etoto_2Enum__dt] :
( ( mono_2Ec_2Etoto_2Enum__dtOrd @ ( mono_2Ec_2Etoto_2Ebit1 @ V2x ) @ mono_2Ec_2Etoto_2Ezer )
= mono_2Ec_2EternaryComparisons_2EGREATER )
& ! [V3x: mono_2Etyop_2Etoto_2Enum__dt] :
( ( mono_2Ec_2Etoto_2Enum__dtOrd @ ( mono_2Ec_2Etoto_2Ebit2 @ V3x ) @ mono_2Ec_2Etoto_2Ezer )
= mono_2Ec_2EternaryComparisons_2EGREATER )
& ! [V4y: mono_2Etyop_2Etoto_2Enum__dt,V5x: mono_2Etyop_2Etoto_2Enum__dt] :
( ( mono_2Ec_2Etoto_2Enum__dtOrd @ ( mono_2Ec_2Etoto_2Ebit1 @ V5x ) @ ( mono_2Ec_2Etoto_2Ebit2 @ V4y ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
& ! [V6y: mono_2Etyop_2Etoto_2Enum__dt,V7x: mono_2Etyop_2Etoto_2Enum__dt] :
( ( mono_2Ec_2Etoto_2Enum__dtOrd @ ( mono_2Ec_2Etoto_2Ebit2 @ V7x ) @ ( mono_2Ec_2Etoto_2Ebit1 @ V6y ) )
= mono_2Ec_2EternaryComparisons_2EGREATER )
& ! [V8y: mono_2Etyop_2Etoto_2Enum__dt,V9x: mono_2Etyop_2Etoto_2Enum__dt] :
( ( mono_2Ec_2Etoto_2Enum__dtOrd @ ( mono_2Ec_2Etoto_2Ebit1 @ V9x ) @ ( mono_2Ec_2Etoto_2Ebit1 @ V8y ) )
= ( mono_2Ec_2Etoto_2Enum__dtOrd @ V9x @ V8y ) )
& ! [V10y: mono_2Etyop_2Etoto_2Enum__dt,V11x: mono_2Etyop_2Etoto_2Enum__dt] :
( ( mono_2Ec_2Etoto_2Enum__dtOrd @ ( mono_2Ec_2Etoto_2Ebit2 @ V11x ) @ ( mono_2Ec_2Etoto_2Ebit2 @ V10y ) )
= ( mono_2Ec_2Etoto_2Enum__dtOrd @ V11x @ V10y ) ) ) ).
thf(thm_2Etoto_2ETO__qk__numOrd,axiom,
mono_2Ec_2Etoto_2ETotOrd_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Etoto_2Eqk__numOrd ).
thf(thm_2Etoto_2Eqk__numeralOrd,axiom,
! [V0x: mono_2Etyop_2Enum_2Enum,V1y: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Etoto_2Eqk__numOrd @ mono_2Ec_2Earithmetic_2EZERO @ mono_2Ec_2Earithmetic_2EZERO )
= mono_2Ec_2EternaryComparisons_2EEQUAL )
& ( ( mono_2Ec_2Etoto_2Eqk__numOrd @ mono_2Ec_2Earithmetic_2EZERO @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V1y ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
& ( ( mono_2Ec_2Etoto_2Eqk__numOrd @ mono_2Ec_2Earithmetic_2EZERO @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V1y ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
& ( ( mono_2Ec_2Etoto_2Eqk__numOrd @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V0x ) @ mono_2Ec_2Earithmetic_2EZERO )
= mono_2Ec_2EternaryComparisons_2EGREATER )
& ( ( mono_2Ec_2Etoto_2Eqk__numOrd @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V0x ) @ mono_2Ec_2Earithmetic_2EZERO )
= mono_2Ec_2EternaryComparisons_2EGREATER )
& ( ( mono_2Ec_2Etoto_2Eqk__numOrd @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V0x ) @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V1y ) )
= ( mono_2Ec_2Etoto_2Eqk__numOrd @ V0x @ V1y ) )
& ( ( mono_2Ec_2Etoto_2Eqk__numOrd @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V0x ) @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V1y ) )
= ( mono_2Ec_2Etoto_2Eqk__numOrd @ V0x @ V1y ) )
& ( ( mono_2Ec_2Etoto_2Eqk__numOrd @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V0x ) @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V1y ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
& ( ( mono_2Ec_2Etoto_2Eqk__numOrd @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V0x ) @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V1y ) )
= mono_2Ec_2EternaryComparisons_2EGREATER ) ) ).
thf(thm_2Etoto_2Eap__qk__numto__thm,axiom,
( ( mono_2Ec_2Etoto_2Eapto_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Etoto_2Eqk__numto )
= mono_2Ec_2Etoto_2Eqk__numOrd ) ).
thf(thm_2Etoto_2ETO__charOrd,axiom,
mono_2Ec_2Etoto_2ETotOrd_2Emono_2Etyop_2Estring_2Echar @ mono_2Ec_2Etoto_2EcharOrd ).
thf(thm_2Etoto_2Eapcharto__thm,axiom,
( ( mono_2Ec_2Etoto_2Eapto_2Emono_2Etyop_2Estring_2Echar @ mono_2Ec_2Etoto_2Echarto )
= mono_2Ec_2Etoto_2EcharOrd ) ).
thf(thm_2Etoto_2EcharOrd__lt__lem,axiom,
! [V0a: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Etoto_2EnumOrd @ V0a @ V1b )
= mono_2Ec_2EternaryComparisons_2ELESS )
=> ( ( ( mono_2Ec_2Eprim__rec_2E_3C @ V1b @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
= mono_2Ec_2Ebool_2ET )
=> ( ( mono_2Ec_2Etoto_2EcharOrd @ ( mono_2Ec_2Estring_2ECHR @ V0a ) @ ( mono_2Ec_2Estring_2ECHR @ V1b ) )
= mono_2Ec_2EternaryComparisons_2ELESS ) ) ) ).
thf(thm_2Etoto_2EcharOrd__gt__lem,axiom,
! [V0a: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Etoto_2EnumOrd @ V0a @ V1b )
= mono_2Ec_2EternaryComparisons_2EGREATER )
=> ( ( ( mono_2Ec_2Eprim__rec_2E_3C @ V0a @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
= mono_2Ec_2Ebool_2ET )
=> ( ( mono_2Ec_2Etoto_2EcharOrd @ ( mono_2Ec_2Estring_2ECHR @ V0a ) @ ( mono_2Ec_2Estring_2ECHR @ V1b ) )
= mono_2Ec_2EternaryComparisons_2EGREATER ) ) ) ).
thf(thm_2Etoto_2EcharOrd__eq__lem,axiom,
! [V0a: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Etoto_2EnumOrd @ V0a @ V1b )
= mono_2Ec_2EternaryComparisons_2EEQUAL )
=> ( ( mono_2Ec_2Etoto_2EcharOrd @ ( mono_2Ec_2Estring_2ECHR @ V0a ) @ ( mono_2Ec_2Estring_2ECHR @ V1b ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL ) ) ).
thf(thm_2Etoto_2EcharOrd__thm,axiom,
( mono_2Ec_2Etoto_2EcharOrd
= ( mono_2Ec_2Etoto_2ETO__of__LinearOrder_2Emono_2Etyop_2Estring_2Echar @ mono_2Ec_2Estring_2Echar__lt ) ) ).
thf(thm_2Etoto_2Elistorder__ind,axiom,
! [A_27a: d,V0P_2E0: u] :
( ( ! [V1V_2E0: u,V2l_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( 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 ) ) ) @ V0P_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V1V_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V2l_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ c_2Elist_2ENIL_2E0 ) ) ) )
& ! [V3V_2E0: u,V4s_2E0: u,V5m_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( 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 ) ) ) @ V0P_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V3V_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ c_2Elist_2ENIL_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ ( c_2Elist_2ECONS_2E2 @ ( s @ A_27a @ V4s_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V5m_2E0 ) ) ) ) ) )
& ! [V6V_2E0: u,V7r_2E0: u,V8l_2E0: u,V9s_2E0: u,V10m_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( 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 ) ) ) @ V0P_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V6V_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V8l_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V10m_2E0 ) ) ) )
=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( 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 ) ) ) @ V0P_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V6V_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ ( c_2Elist_2ECONS_2E2 @ ( s @ A_27a @ V7r_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V8l_2E0 ) ) ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ ( c_2Elist_2ECONS_2E2 @ ( s @ A_27a @ V9s_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V10m_2E0 ) ) ) ) ) ) ) )
=> ! [V11v_2E0: u,V12v1_2E0: u,V13v2_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( 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 ) ) ) @ V0P_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V11v_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V12v1_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V13v2_2E0 ) ) ) ) ) ).
thf(thm_2Etoto_2Elistorder,axiom,
! [A_27a: d] :
( ! [V0l_2E0: u,V1V_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Etoto_2Elistorder_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V1V_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V0l_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ c_2Elist_2ENIL_2E0 ) ) ) )
= mono_2Ec_2Ebool_2EF )
& ! [V2s_2E0: u,V3m_2E0: u,V4V_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Etoto_2Elistorder_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V4V_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ c_2Elist_2ENIL_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ ( c_2Elist_2ECONS_2E2 @ ( s @ A_27a @ V2s_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V3m_2E0 ) ) ) ) ) )
= mono_2Ec_2Ebool_2ET )
& ! [V5s_2E0: u,V6r_2E0: u,V7m_2E0: u,V8l_2E0: u,V9V_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Etoto_2Elistorder_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V9V_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ ( c_2Elist_2ECONS_2E2 @ ( s @ A_27a @ V6r_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V8l_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ ( c_2Elist_2ECONS_2E2 @ ( s @ A_27a @ V5s_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V7m_2E0 ) ) ) ) ) )
<=> ( ( 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 ) ) @ V9V_2E0 ) @ ( s @ A_27a @ V6r_2E0 ) ) ) @ ( s @ A_27a @ V5s_2E0 ) ) ) )
| ( ( ( s @ A_27a @ V6r_2E0 )
= ( s @ A_27a @ V5s_2E0 ) )
& ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Etoto_2Elistorder_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V9V_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V8l_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V7m_2E0 ) ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2ESLO__listorder,axiom,
! [A_27a: d,V0V_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EStrongLinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0V_2E0 ) ) ) )
=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EStrongLinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ A_27a ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Etoto_2Elistorder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0V_2E0 ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2ETO__ListOrd,axiom,
! [A_27a: d,V0c_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 ) ) @ ( c_2Etoto_2EListOrd_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ) ) ) ) ).
thf(thm_2Etoto_2EListOrd__THM,axiom,
! [A_27a: d,V0c_2E0: u] :
( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2EListOrd_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ c_2Elist_2ENIL_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ c_2Elist_2ENIL_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL )
& ! [V1b_2E0: u,V2y_2E0: u] :
( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2EListOrd_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ c_2Elist_2ENIL_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ ( c_2Elist_2ECONS_2E2 @ ( s @ A_27a @ V1b_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V2y_2E0 ) ) ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
& ! [V3a_2E0: u,V4x_2E0: u] :
( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2EListOrd_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ ( c_2Elist_2ECONS_2E2 @ ( s @ A_27a @ V3a_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V4x_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ c_2Elist_2ENIL_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EGREATER )
& ! [V5a_2E0: u,V6x_2E0: u,V7b_2E0: u,V8y_2E0: u] :
( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2EListOrd_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ ( c_2Elist_2ECONS_2E2 @ ( s @ A_27a @ V5a_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V6x_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ ( c_2Elist_2ECONS_2E2 @ ( s @ A_27a @ V7b_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V8y_2E0 ) ) ) ) ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2EternaryComparisons_2Eordering @ ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V5a_2E0 ) @ ( s @ A_27a @ V7b_2E0 ) ) ) ) @ mono_2Ec_2EternaryComparisons_2ELESS @ ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2EListOrd_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V6x_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V8y_2E0 ) ) ) ) @ mono_2Ec_2EternaryComparisons_2EGREATER ) ) ) ).
thf(thm_2Etoto_2Eaplistoto,axiom,
! [A_27a: d,V0c_2E0: u] :
( ( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ A_27a ) ) @ ( c_2Etoto_2Elistoto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ c_2Elist_2ENIL_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ c_2Elist_2ENIL_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EEQUAL )
& ! [V1b_2E0: u,V2y_2E0: u] :
( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ A_27a ) ) @ ( c_2Etoto_2Elistoto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ c_2Elist_2ENIL_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ ( c_2Elist_2ECONS_2E2 @ ( s @ A_27a @ V1b_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V2y_2E0 ) ) ) ) ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
& ! [V3a_2E0: u,V4x_2E0: u] :
( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ A_27a ) ) @ ( c_2Etoto_2Elistoto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ ( c_2Elist_2ECONS_2E2 @ ( s @ A_27a @ V3a_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V4x_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ c_2Elist_2ENIL_2E0 ) ) ) )
= mono_2Ec_2EternaryComparisons_2EGREATER )
& ! [V5a_2E0: u,V6x_2E0: u,V7b_2E0: u,V8y_2E0: u] :
( ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ A_27a ) ) @ ( c_2Etoto_2Elistoto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ ( c_2Elist_2ECONS_2E2 @ ( s @ A_27a @ V5a_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V6x_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ ( c_2Elist_2ECONS_2E2 @ ( s @ A_27a @ V7b_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V8y_2E0 ) ) ) ) ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2EternaryComparisons_2Eordering @ ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) @ ( s @ A_27a @ V5a_2E0 ) @ ( s @ A_27a @ V7b_2E0 ) ) ) ) @ mono_2Ec_2EternaryComparisons_2ELESS @ ( j_mono_2Etyop_2EternaryComparisons_2Eordering @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2Etoto_2Eapto_2E3 @ ( s @ ( tyop_2Etoto_2Etoto @ ( tyop_2Elist_2Elist @ A_27a ) ) @ ( c_2Etoto_2Elistoto_2E1 @ ( s @ ( tyop_2Etoto_2Etoto @ A_27a ) @ V0c_2E0 ) ) ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V6x_2E0 ) @ ( s @ ( tyop_2Elist_2Elist @ A_27a ) @ V8y_2E0 ) ) ) ) @ mono_2Ec_2EternaryComparisons_2EGREATER ) ) ) ).
thf(thm_2Etoto_2ETO__injection,axiom,
! [A_27c: d,A_27d: d,V0cp_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Etoto_2ETotOrd_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ ( tyop_2Emin_2Efun @ A_27c @ tyop_2EternaryComparisons_2Eordering ) ) @ V0cp_2E0 ) ) ) )
=> ! [V1f_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EONE__ONE_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27c ) @ V1f_2E0 ) ) ) )
=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Etoto_2ETotOrd_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27d @ ( tyop_2Emin_2Efun @ A_27d @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2EimageOrd_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27c ) @ V1f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ ( tyop_2Emin_2Efun @ A_27c @ tyop_2EternaryComparisons_2Eordering ) ) @ V0cp_2E0 ) ) ) ) ) ) ) ) ).
thf(thm_2Etoto_2EStrongLinearOrder__of__TO__TO__of__LinearOrder,axiom,
! [A_27a: d,V0R_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 ) ) @ V0R_2E0 ) ) ) )
=> ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( c_2Etoto_2EStrongLinearOrder__of__TO_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 ) ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R_2E0 ) ) ) ).
thf(thm_2Etoto_2ETO__of__LinearOrder__LEX,axiom,
! [A_27a: d,A_27b: d,V0R_2E0: u,V1V_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 ) ) @ V0R_2E0 ) ) ) )
& ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2Eirreflexive_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ 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_2ETO__of__LinearOrder_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_2ELEX_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ 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 ) ) @ ( c_2Etoto_2ETO__of__LinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2EternaryComparisons_2Eordering ) ) @ ( c_2Etoto_2ETO__of__LinearOrder_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V1V_2E0 ) ) ) ) ) ) ) ).
%------------------------------------------------------------------------------