ITP001 Axioms: ITP087^4.ax
%------------------------------------------------------------------------------
% File : ITP087^4 : 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 : quote.ax [Gau19]
% : HL4087^4.ax [TPAP]
% Status : Satisfiable
% Syntax : Number of formulae : 374 ( 140 unt; 200 typ; 0 def)
% Number of atoms : 301 ( 227 equ; 5 cnn)
% Maximal formula atoms : 10 ( 0 avg)
% Number of connectives : 4384 ( 5 ~; 10 |; 55 &;4264 @)
% ( 18 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 4 avg;4264 nst)
% Number of types : 9 ( 8 usr)
% Number of type conns : 598 ( 598 >; 0 *; 0 +; 0 <<)
% Number of symbols : 194 ( 192 usr; 56 con; 0-4 aty)
% Number of variables : 454 ( 0 ^ 434 !; 20 ?; 454 :)
% 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_2Equote_2Eindex,type,
mono_2Etyop_2Equote_2Eindex: $tType ).
thf(mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,type,
mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29: $tType ).
thf(mono_2Etyop_2Enum_2Enum,type,
mono_2Etyop_2Enum_2Enum: $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(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_2Equote_2Eindex,type,
tyop_2Equote_2Eindex: d ).
thf(tyop_2Equote_2Evarmap,type,
tyop_2Equote_2Evarmap: d > d ).
thf(tyop_2EternaryComparisons_2Eordering,type,
tyop_2EternaryComparisons_2Eordering: 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_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_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_2Eind__type_2EBOTTOM_2E0,type,
c_2Eind__type_2EBOTTOM_2E0: 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_2EternaryComparisons_2EEQUAL_2E0,type,
c_2EternaryComparisons_2EEQUAL_2E0: u ).
thf(c_2Equote_2EEmpty__vm_2E0,type,
c_2Equote_2EEmpty__vm_2E0: u ).
thf(c_2Equote_2EEnd__idx_2E0,type,
c_2Equote_2EEnd__idx_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_2EternaryComparisons_2EGREATER_2E0,type,
c_2EternaryComparisons_2EGREATER_2E0: u ).
thf(c_2EternaryComparisons_2ELESS_2E0,type,
c_2EternaryComparisons_2ELESS_2E0: u ).
thf(c_2Equote_2ELeft__idx_2E0,type,
c_2Equote_2ELeft__idx_2E0: u ).
thf(c_2Equote_2ELeft__idx_2E1,type,
c_2Equote_2ELeft__idx_2E1: du > 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_2Equote_2ENode__vm_2E0,type,
c_2Equote_2ENode__vm_2E0: u ).
thf(c_2Equote_2ENode__vm_2E3,type,
c_2Equote_2ENode__vm_2E3: du > du > du > u ).
thf(c_2Equote_2ERight__idx_2E0,type,
c_2Equote_2ERight__idx_2E0: u ).
thf(c_2Equote_2ERight__idx_2E1,type,
c_2Equote_2ERight__idx_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_2Ebool_2ET_2E0,type,
c_2Ebool_2ET_2E0: 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_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_2Equote_2Eindex__CASE_2E0,type,
c_2Equote_2Eindex__CASE_2E0: u ).
thf(c_2Equote_2Eindex__CASE_2E4,type,
c_2Equote_2Eindex__CASE_2E4: du > du > du > du > u ).
thf(c_2Equote_2Eindex__compare_2E0,type,
c_2Equote_2Eindex__compare_2E0: u ).
thf(c_2Equote_2Eindex__compare_2E2,type,
c_2Equote_2Eindex__compare_2E2: du > du > u ).
thf(c_2Equote_2Eindex__lt_2E0,type,
c_2Equote_2Eindex__lt_2E0: u ).
thf(c_2Equote_2Eindex__lt_2E2,type,
c_2Equote_2Eindex__lt_2E2: du > du > u ).
thf(c_2Equote_2Eindex__size_2E0,type,
c_2Equote_2Eindex__size_2E0: u ).
thf(c_2Equote_2Eindex__size_2E1,type,
c_2Equote_2Eindex__size_2E1: du > u ).
thf(c_2EternaryComparisons_2Elist__compare_2E0,type,
c_2EternaryComparisons_2Elist__compare_2E0: u ).
thf(c_2EternaryComparisons_2Elist__compare_2E3,type,
c_2EternaryComparisons_2Elist__compare_2E3: du > du > du > u ).
thf(c_2Equote_2Evarmap__CASE_2E0,type,
c_2Equote_2Evarmap__CASE_2E0: u ).
thf(c_2Equote_2Evarmap__CASE_2E3,type,
c_2Equote_2Evarmap__CASE_2E3: du > du > du > u ).
thf(c_2Equote_2Evarmap__find_2E0,type,
c_2Equote_2Evarmap__find_2E0: u ).
thf(c_2Equote_2Evarmap__find_2E2,type,
c_2Equote_2Evarmap__find_2E2: du > du > u ).
thf(c_2Equote_2Evarmap__size_2E0,type,
c_2Equote_2Evarmap__size_2E0: u ).
thf(c_2Equote_2Evarmap__size_2E2,type,
c_2Equote_2Evarmap__size_2E2: du > du > 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_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_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29: ( ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2EternaryComparisons_2Eordering ) > ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > mono_2Etyop_2Equote_2Eindex > $o ) > ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > mono_2Etyop_2Equote_2Eindex > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > mono_2Etyop_2Equote_2Eindex > $o ) > ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > mono_2Etyop_2Equote_2Eindex > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o ) > ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o ).
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_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_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_2Equote_2Eindex_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_2Equote_2Eindex > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o ) > ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > $o ) > ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Equote_2Eindex > $o ) > mono_2Etyop_2Equote_2Eindex > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > $o ) > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ).
thf(mono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Enum_2Enum,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2EternaryComparisons_2Eordering,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2EternaryComparisons_2Eordering: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_20mono_2Etyop_2EternaryComparisons_2Eordering,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_20mono_2Etyop_2EternaryComparisons_2Eordering: ( mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2EternaryComparisons_2Eordering ).
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_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_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_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_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_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_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_2Emin_2E_3D_3D_3E,type,
mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $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_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_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_2EternaryComparisons_2EEQUAL,type,
mono_2Ec_2EternaryComparisons_2EEQUAL: mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Ec_2Equote_2EEnd__idx,type,
mono_2Ec_2Equote_2EEnd__idx: mono_2Etyop_2Equote_2Eindex ).
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_2EternaryComparisons_2ELESS,type,
mono_2Ec_2EternaryComparisons_2ELESS: mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Ec_2Equote_2ELeft__idx,type,
mono_2Ec_2Equote_2ELeft__idx: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ).
thf(mono_2Ec_2Earithmetic_2ENUMERAL,type,
mono_2Ec_2Earithmetic_2ENUMERAL: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Equote_2ERight__idx,type,
mono_2Ec_2Equote_2ERight__idx: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ).
thf(mono_2Ec_2Enum_2ESUC,type,
mono_2Ec_2Enum_2ESUC: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Ebool_2ET,type,
mono_2Ec_2Ebool_2ET: $o ).
thf(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_20mono_2Etyop_2Equote_2Eindex,type,
mono_2Ec_2Ebool_2ETYPE__DEFINITION_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_20mono_2Etyop_2Equote_2Eindex: ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > $o ) > ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o ).
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_2Equote_2Eindex__compare,type,
mono_2Ec_2Equote_2Eindex__compare: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(mono_2Ec_2Equote_2Eindex__lt,type,
mono_2Ec_2Equote_2Eindex__lt: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > $o ).
thf(mono_2Ec_2Equote_2Eindex__size,type,
mono_2Ec_2Equote_2Eindex__size: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2EternaryComparisons_2Elist__compare_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex,type,
mono_2Ec_2EternaryComparisons_2Elist__compare_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2EternaryComparisons_2Eordering ).
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_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_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_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29: ( ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2EternaryComparisons_2Eordering ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_29: ( ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > mono_2Etyop_2Equote_2Eindex > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > mono_2Etyop_2Equote_2Eindex > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o ) > 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_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_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_2Equote_2Eindex_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_2Equote_2Eindex > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Equote_2Eindex > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Enum_2Enum_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2EternaryComparisons_2Eordering ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2EternaryComparisons_2Eordering ) > 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_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_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_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_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_2Equote_2Eindex,type,
i_mono_2Etyop_2Equote_2Eindex: mono_2Etyop_2Equote_2Eindex > u ).
thf(i_mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,type,
i_mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > u ).
thf(i_mono_2Etyop_2Enum_2Enum,type,
i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > 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(j_mono_2Etyop_2Emin_2Ebool,type,
j_mono_2Etyop_2Emin_2Ebool: du > $o ).
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_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_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29: du > ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_29: du > ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > mono_2Etyop_2Equote_2Eindex > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > mono_2Etyop_2Equote_2Eindex > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o ).
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_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_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_2Equote_2Eindex_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_2Equote_2Eindex > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Equote_2Eindex > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29: du > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29: du > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Enum_2Enum_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29: du > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2EternaryComparisons_2Eordering ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2EternaryComparisons_2Eordering ).
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_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_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_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_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_2Equote_2Eindex,type,
j_mono_2Etyop_2Equote_2Eindex: du > mono_2Etyop_2Equote_2Eindex ).
thf(j_mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,type,
j_mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 ).
thf(j_mono_2Etyop_2Enum_2Enum,type,
j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum ).
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(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_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_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_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2EternaryComparisons_2Eordering ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2EternaryComparisons_2Eordering ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2EternaryComparisons_2Eordering ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2EternaryComparisons_2Eordering ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2EternaryComparisons_2Eordering ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2EternaryComparisons_2Eordering ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_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_2Equote_2Eindex @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ 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_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_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_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_2Equote_2Eindex @ ( 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_2Equote_2Eindex_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_2Equote_2Eindex_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_2Equote_2Eindex @ ( 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_2Equote_2Eindex @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2EternaryComparisons_2Eordering ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2EternaryComparisons_2Eordering ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2EternaryComparisons_2Eordering ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Equote_2Eindex ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Equote_2Eindex ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Equote_2Eindex ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Enum_2Enum_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2EternaryComparisons_2Eordering ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2EternaryComparisons_2Eordering ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2EternaryComparisons_2Eordering ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2EternaryComparisons_2Eordering ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2EternaryComparisons_2Eordering ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2EternaryComparisons_2Eordering ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2EternaryComparisons_2Eordering ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2EternaryComparisons_2Eordering ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2EternaryComparisons_2Eordering ) @ 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_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_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_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_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_2Equote_2Eindex,axiom,
! [V0_2E0: u] :
( ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ ( j_mono_2Etyop_2Equote_2Eindex @ ( s @ tyop_2Equote_2Eindex @ V0_2E0 ) ) ) )
= ( s @ tyop_2Equote_2Eindex @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 @ ( j_mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ 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_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(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_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_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_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2EternaryComparisons_2Eordering ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2EternaryComparisons_2Eordering ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > mono_2Etyop_2Equote_2Eindex > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > mono_2Etyop_2Equote_2Eindex > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_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_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_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_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_2Equote_2Eindex > 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_2Equote_2Eindex_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_2Equote_2Eindex @ ( 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_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2EternaryComparisons_2Eordering ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Equote_2Eindex ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Enum_2Enum_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2EternaryComparisons_2Eordering ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2EternaryComparisons_2Eordering ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2EternaryComparisons_2Eordering ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_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_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_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_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_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_2Equote_2Eindex,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex] :
( ( j_mono_2Etyop_2Equote_2Eindex @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( j_mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_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_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(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(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(arityeq1_2Ec_2Emin_2E_40_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( s @ A_27a @ ( c_2Emin_2E_40_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) )
= ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ A_27a ) @ c_2Emin_2E_40_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ).
thf(arityeq3_2Ec_2Eind__type_2ECONSTR_2E3_2Emono_2EA_27a,axiom,
! [A_27a: d,X0: mono_2Etyop_2Enum_2Enum,X1_2E0: u,X2_2E0: u] :
( ( s @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ ( c_2Eind__type_2ECONSTR_2E3 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) @ ( s @ A_27a @ X1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) @ X2_2E0 ) ) )
= ( s @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) ) ) @ c_2Eind__type_2ECONSTR_2E0 ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) @ X2_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Eind__type_2EFCONS_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28A_27a_29,axiom,
! [A_27a: d,X0_2E0: u,X1_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) @ ( c_2Eind__type_2EFCONS_2E2 @ ( s @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) ) ) @ c_2Eind__type_2EFCONS_2E0 ) @ ( s @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) @ X1_2E0 ) ) ) ) ).
thf(arityeq3_2Ec_2Equote_2ENode__vm_2E3_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
( ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( c_2Equote_2ENode__vm_2E3 @ ( s @ A_27a @ X0_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ X1_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ X2_2E0 ) ) )
= ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Equote_2Evarmap @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Equote_2Evarmap @ A_27a ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Equote_2Evarmap @ A_27a ) ) ) ) @ c_2Equote_2ENode__vm_2E0 ) @ ( s @ A_27a @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ X2_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28A_27a_29_20mono_2Etyop_2Equote_2Evarmap_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_2Eind__type_2Erecspace @ A_27a ) @ tyop_2Emin_2Ebool ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) @ X1_2E0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) @ tyop_2Emin_2Ebool ) ) @ c_2Ebool_2ETYPE__DEFINITION_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) @ X1_2E0 ) ) ) ) ) ).
thf(arityeq4_2Ec_2Equote_2Eindex__CASE_2E4_2Emono_2EA_27a,axiom,
! [A_27a: d,X0: mono_2Etyop_2Equote_2Eindex,X1_2E0: u,X2_2E0: u,X3_2E0: u] :
( ( s @ A_27a @ ( c_2Equote_2Eindex__CASE_2E4 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ X0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ X1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ X2_2E0 ) @ ( s @ A_27a @ X3_2E0 ) ) )
= ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) ) ) @ c_2Equote_2Eindex__CASE_2E0 ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ X0 ) ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ X2_2E0 ) ) ) @ ( s @ A_27a @ X3_2E0 ) ) ) ) ).
thf(arityeq3_2Ec_2Equote_2Evarmap__CASE_2E3_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
( ( s @ A_27b @ ( c_2Equote_2Evarmap__CASE_2E3 @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ X0_2E0 ) @ ( s @ A_27b @ X1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) ) ) @ X2_2E0 ) ) )
= ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) ) ) @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) ) ) @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) ) ) @ A_27b ) ) ) @ c_2Equote_2Evarmap__CASE_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ A_27b @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) ) ) @ X2_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Equote_2Evarmap__find_2E2_2Emono_2EA_27a,axiom,
! [A_27a: d,X0: mono_2Etyop_2Equote_2Eindex,X1_2E0: u] :
( ( s @ A_27a @ ( c_2Equote_2Evarmap__find_2E2 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ X0 ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ X1_2E0 ) ) )
= ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27a ) ) @ c_2Equote_2Evarmap__find_2E0 ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ X0 ) ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ X1_2E0 ) ) ) ) ).
thf(arityeq2_2Ec_2Equote_2Evarmap__size_2E2_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u,X1_2E0: u] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( c_2Equote_2Evarmap__size_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Enum_2Enum ) @ X0_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ X1_2E0 ) ) ) )
= ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ tyop_2Enum_2Enum ) ) @ c_2Equote_2Evarmap__size_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Enum_2Enum ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ X1_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_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_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
! [V0: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2EternaryComparisons_2Eordering ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2EternaryComparisons_2Eordering ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2EternaryComparisons_2Eordering ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2EternaryComparisons_2Eordering ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2EternaryComparisons_2Eordering ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > mono_2Etyop_2Equote_2Eindex > $o,V1: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Equote_2Eindex ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > mono_2Etyop_2Equote_2Eindex > $o,V1: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Equote_2Eindex ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o,V1: mono_2Etyop_2Equote_2Eindex > 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_2Equote_2Eindex @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_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_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_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_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_2Equote_2Eindex > 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_2Equote_2Eindex @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( 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_2Equote_2Eindex @ ( 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_2Equote_2Eindex_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_2Equote_2Eindex_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > $o,V1: mono_2Etyop_2Equote_2Eindex] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > $o,V1: mono_2Etyop_2Equote_2Eindex] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Equote_2Eindex] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2EternaryComparisons_2Eordering ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2EternaryComparisons_2Eordering ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2EternaryComparisons_2Eordering ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29 @ V0 ) ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex,V1: mono_2Etyop_2Equote_2Eindex] :
( ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Equote_2Eindex @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Equote_2Eindex ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29 @ V0 ) ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Equote_2Eindex] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2EternaryComparisons_2Eordering,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Equote_2Eindex] :
( ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ ( V0 @ V1 ) ) )
= ( s @ tyop_2EternaryComparisons_2Eordering @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2EternaryComparisons_2Eordering ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29 @ V0 ) ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2EternaryComparisons_2Eordering ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2EternaryComparisons_2Eordering ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2EternaryComparisons_2Eordering ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_20mono_2Etyop_2EternaryComparisons_2Eordering,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ ( V0 @ V1 ) ) )
= ( s @ tyop_2EternaryComparisons_2Eordering @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2EternaryComparisons_2Eordering ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 @ 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_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_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_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_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_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_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_2Ebool_2ETYPE__DEFINITION_2E0_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_20mono_2Etyop_2Equote_2Eindex,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_2Equote_2Eindex @ ( 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_2Equote_2Eindex_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_2Equote_2Eindex ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( 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_2Equote_2Eindex,axiom,
! [V0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > $o,V1: mono_2Etyop_2Equote_2Eindex > 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_2Equote_2Eindex @ 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_2Equote_2Eindex @ ( tyop_2Eind__type_2Erecspace @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EternaryComparisons_2Elist__compare_2E0_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2EternaryComparisons_2Eordering ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2EternaryComparisons_2Eordering ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29_29 @ mono_2Ec_2EternaryComparisons_2Elist__compare_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2EternaryComparisons_2Eordering ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2EternaryComparisons_2Eordering ) ) ) @ c_2EternaryComparisons_2Elist__compare_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EternaryComparisons_2Elist__compare_2E3_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V2: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ ( mono_2Ec_2EternaryComparisons_2Elist__compare_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex @ V0 @ V1 @ V2 ) ) )
= ( s @ tyop_2EternaryComparisons_2Eordering @ ( c_2EternaryComparisons_2Elist__compare_2E3 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2EternaryComparisons_2Eordering ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 @ V1 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 @ V2 ) ) ) ) ) ).
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_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_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29_29,axiom,
! [V0: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering ) > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > mono_2Etyop_2Equote_2Eindex > $o,V1: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Equote_2Eindex_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > mono_2Etyop_2Equote_2Eindex > $o,V1: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 ) > $o,V1: mono_2Etyop_2Equote_2Eindex > 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_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_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_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_2Equote_2Eindex > 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_2Equote_2Eindex_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > $o,V1: mono_2Etyop_2Equote_2Eindex] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > $o,V1: mono_2Etyop_2Equote_2Eindex] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Equote_2Eindex] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex,V1: mono_2Etyop_2Equote_2Eindex] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Equote_2Eindex] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2EternaryComparisons_2Eordering,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Equote_2Eindex] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2EternaryComparisons_2Eordering_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_20mono_2Etyop_2EternaryComparisons_2Eordering,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( 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_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_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_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_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(thm_2Equote_2Eindex__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 )
=> ( ! [V7n: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V7n )
= mono_2Ec_2Eind__type_2EBOTTOM_2Emono_2Etyop_2Emin_2Ebool )
=> ( ! [V5n: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V5n )
= mono_2Ec_2Eind__type_2EBOTTOM_2Emono_2Etyop_2Emin_2Ebool )
=> ( ! [V1a0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( F0 @ V1a0 )
<=> ! [V2_27index_27: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 > $o] :
( ! [V3a0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29] :
( ( ? [V4a: 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 @ ( mono_2Ec_2Eind__type_2EFCONS_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Emin_2Ebool_29 @ V4a @ F1 ) ) )
& ( V2_27index_27 @ V4a ) )
| ? [V6a: 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 @ V6a @ F2 ) ) )
& ( V2_27index_27 @ V6a ) )
| ( 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 @ F3 ) ) )
=> ( V2_27index_27 @ V3a0 ) )
=> ( V2_27index_27 @ V1a0 ) ) )
=> ? [V0rep: mono_2Etyop_2Equote_2Eindex > 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_2Equote_2Eindex @ F0 @ V0rep ) ) ) ) ) ).
thf(thm_2Equote_2Eindex__case__def,axiom,
! [A_27a: d] :
( ! [V0a: mono_2Etyop_2Equote_2Eindex,V1f_2E0: u,V2f1_2E0: u,V3v_2E0: u] :
( ( s @ A_27a @ ( c_2Equote_2Eindex__CASE_2E4 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ ( mono_2Ec_2Equote_2ELeft__idx @ V0a ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V1f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V2f1_2E0 ) @ ( s @ A_27a @ V3v_2E0 ) ) )
= ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V1f_2E0 ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V0a ) ) ) ) )
& ! [V4a: mono_2Etyop_2Equote_2Eindex,V5f_2E0: u,V6f1_2E0: u,V7v_2E0: u] :
( ( s @ A_27a @ ( c_2Equote_2Eindex__CASE_2E4 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ ( mono_2Ec_2Equote_2ERight__idx @ V4a ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V5f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V6f1_2E0 ) @ ( s @ A_27a @ V7v_2E0 ) ) )
= ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V6f1_2E0 ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V4a ) ) ) ) )
& ! [V8f_2E0: u,V9f1_2E0: u,V10v_2E0: u] :
( ( s @ A_27a @ ( c_2Equote_2Eindex__CASE_2E4 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2EEnd__idx ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V8f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V9f1_2E0 ) @ ( s @ A_27a @ V10v_2E0 ) ) )
= ( s @ A_27a @ V10v_2E0 ) ) ) ).
thf(thm_2Equote_2Eindex__size__def,axiom,
( ! [V0a: mono_2Etyop_2Equote_2Eindex] :
( ( mono_2Ec_2Equote_2Eindex__size @ ( mono_2Ec_2Equote_2ELeft__idx @ V0a ) )
= ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ ( mono_2Ec_2Equote_2Eindex__size @ V0a ) ) )
& ! [V1a: mono_2Etyop_2Equote_2Eindex] :
( ( mono_2Ec_2Equote_2Eindex__size @ ( mono_2Ec_2Equote_2ERight__idx @ V1a ) )
= ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ ( mono_2Ec_2Equote_2Eindex__size @ V1a ) ) )
& ( ( mono_2Ec_2Equote_2Eindex__size @ mono_2Ec_2Equote_2EEnd__idx )
= mono_2Ec_2Enum_2E0 ) ) ).
thf(thm_2Equote_2Eindex__lt__def,axiom,
! [V0i1: mono_2Etyop_2Equote_2Eindex,V1i2: mono_2Etyop_2Equote_2Eindex] :
( ( mono_2Ec_2Equote_2Eindex__lt @ V0i1 @ V1i2 )
<=> ( ( mono_2Ec_2Equote_2Eindex__compare @ V0i1 @ V1i2 )
= mono_2Ec_2EternaryComparisons_2ELESS ) ) ).
thf(thm_2Equote_2Evarmap__TY__DEF,axiom,
! [A_27a: d,F2_2E0: u,F1_2E0: u,F0_2E0: u] :
( ! [V8n: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) @ F2_2E0 ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V8n ) ) ) )
= ( s @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ c_2Eind__type_2EBOTTOM_2E0 ) )
=> ( ! [V4n: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) @ F1_2E0 ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V4n ) ) ) )
= ( s @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ c_2Eind__type_2EBOTTOM_2E0 ) )
=> ( ! [V1a0_27_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ tyop_2Emin_2Ebool ) @ F0_2E0 ) @ ( s @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ V1a0_27_2E0 ) ) ) )
<=> ! [V2_27varmap_27_2E0: u] :
( ! [V3a0_27_2E0: u] :
( ( ( ( s @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ V3a0_27_2E0 )
= ( s @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ ( c_2Eind__type_2ECONSTR_2E3 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 ) ) @ ( s @ A_27a @ c_2Ebool_2EARB_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) @ F1_2E0 ) ) ) )
| ? [V5a0_2E0: u,V6a1_2E0: u,V7a2_2E0: u] :
( ( ( s @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ V3a0_27_2E0 )
= ( s @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ ( c_2Eind__type_2ECONSTR_2E3 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) ) ) @ ( s @ A_27a @ V5a0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) @ ( c_2Eind__type_2EFCONS_2E2 @ ( s @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ V6a1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) @ ( c_2Eind__type_2EFCONS_2E2 @ ( s @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ V7a2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) @ F2_2E0 ) ) ) ) ) ) ) )
& ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ tyop_2Emin_2Ebool ) @ V2_27varmap_27_2E0 ) @ ( s @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ V6a1_2E0 ) ) ) )
& ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ tyop_2Emin_2Ebool ) @ V2_27varmap_27_2E0 ) @ ( s @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ V7a2_2E0 ) ) ) ) ) )
=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ tyop_2Emin_2Ebool ) @ V2_27varmap_27_2E0 ) @ ( s @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ V3a0_27_2E0 ) ) ) ) )
=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ tyop_2Emin_2Ebool ) @ V2_27varmap_27_2E0 ) @ ( s @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ V1a0_27_2E0 ) ) ) ) ) )
=> ? [V0rep_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2ETYPE__DEFINITION_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ A_27a ) @ tyop_2Emin_2Ebool ) @ F0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Eind__type_2Erecspace @ A_27a ) ) @ V0rep_2E0 ) ) ) ) ) ) ) ).
thf(thm_2Equote_2Evarmap__case__def,axiom,
! [A_27a: d,A_27b: d] :
( ! [V0v_2E0: u,V1f_2E0: u] :
( ( s @ A_27b @ ( c_2Equote_2Evarmap__CASE_2E3 @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ c_2Equote_2EEmpty__vm_2E0 ) @ ( s @ A_27b @ V0v_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) ) ) @ V1f_2E0 ) ) )
= ( s @ A_27b @ V0v_2E0 ) )
& ! [V2a0_2E0: u,V3a1_2E0: u,V4a2_2E0: u,V5v_2E0: u,V6f_2E0: u] :
( ( s @ A_27b @ ( c_2Equote_2Evarmap__CASE_2E3 @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( c_2Equote_2ENode__vm_2E3 @ ( s @ A_27a @ V2a0_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V3a1_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V4a2_2E0 ) ) ) @ ( s @ A_27b @ V5v_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) ) ) @ V6f_2E0 ) ) )
= ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) ) ) @ V6f_2E0 ) @ ( s @ A_27a @ V2a0_2E0 ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V3a1_2E0 ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V4a2_2E0 ) ) ) ) ) ).
thf(thm_2Equote_2Evarmap__size__def,axiom,
! [A_27a: d] :
( ! [V0f_2E0: u] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( c_2Equote_2Evarmap__size_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Enum_2Enum ) @ V0f_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ c_2Equote_2EEmpty__vm_2E0 ) ) ) )
= mono_2Ec_2Enum_2E0 )
& ! [V1f_2E0: u,V2a0_2E0: u,V3a1_2E0: u,V4a2_2E0: u] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( c_2Equote_2Evarmap__size_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Enum_2Enum ) @ V1f_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( c_2Equote_2ENode__vm_2E3 @ ( s @ A_27a @ V2a0_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V3a1_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V4a2_2E0 ) ) ) ) ) )
= ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ ( mono_2Ec_2Earithmetic_2E_2B @ ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Enum_2Enum ) @ V1f_2E0 ) @ ( s @ A_27a @ V2a0_2E0 ) ) ) ) @ ( mono_2Ec_2Earithmetic_2E_2B @ ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( c_2Equote_2Evarmap__size_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Enum_2Enum ) @ V1f_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V3a1_2E0 ) ) ) ) @ ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( c_2Equote_2Evarmap__size_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Enum_2Enum ) @ V1f_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V4a2_2E0 ) ) ) ) ) ) ) ) ) ).
thf(thm_2Equote_2Edatatype__index,axiom,
! [V0index: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ) > mono_2Etyop_2Equote_2Eindex > $o] : ( mono_2Ec_2Ebool_2EDATATYPE_2Emono_2Etyop_2Emin_2Ebool @ ( V0index @ mono_2Ec_2Equote_2ELeft__idx @ mono_2Ec_2Equote_2ERight__idx @ mono_2Ec_2Equote_2EEnd__idx ) ) ).
thf(thm_2Equote_2Eindex__11,axiom,
( ! [V0a: mono_2Etyop_2Equote_2Eindex,V1a_27: mono_2Etyop_2Equote_2Eindex] :
( ( ( mono_2Ec_2Equote_2ELeft__idx @ V0a )
= ( mono_2Ec_2Equote_2ELeft__idx @ V1a_27 ) )
<=> ( V0a = V1a_27 ) )
& ! [V2a: mono_2Etyop_2Equote_2Eindex,V3a_27: mono_2Etyop_2Equote_2Eindex] :
( ( ( mono_2Ec_2Equote_2ERight__idx @ V2a )
= ( mono_2Ec_2Equote_2ERight__idx @ V3a_27 ) )
<=> ( V2a = V3a_27 ) ) ) ).
thf(thm_2Equote_2Eindex__distinct,axiom,
( ! [V0a_27: mono_2Etyop_2Equote_2Eindex,V1a: mono_2Etyop_2Equote_2Eindex] :
( (~)
@ ( ( mono_2Ec_2Equote_2ELeft__idx @ V1a )
= ( mono_2Ec_2Equote_2ERight__idx @ V0a_27 ) ) )
& ! [V2a: mono_2Etyop_2Equote_2Eindex] :
( (~)
@ ( ( mono_2Ec_2Equote_2ELeft__idx @ V2a )
= mono_2Ec_2Equote_2EEnd__idx ) )
& ! [V3a: mono_2Etyop_2Equote_2Eindex] :
( (~)
@ ( ( mono_2Ec_2Equote_2ERight__idx @ V3a )
= mono_2Ec_2Equote_2EEnd__idx ) ) ) ).
thf(thm_2Equote_2Eindex__nchotomy,axiom,
! [V0ii: mono_2Etyop_2Equote_2Eindex] :
( ? [V1i: mono_2Etyop_2Equote_2Eindex] :
( V0ii
= ( mono_2Ec_2Equote_2ELeft__idx @ V1i ) )
| ? [V2i: mono_2Etyop_2Equote_2Eindex] :
( V0ii
= ( mono_2Ec_2Equote_2ERight__idx @ V2i ) )
| ( V0ii = mono_2Ec_2Equote_2EEnd__idx ) ) ).
thf(thm_2Equote_2Eindex__Axiom,axiom,
! [A_27a: d,V0f0_2E0: u,V1f1_2E0: u,V2f2_2E0: u] :
? [V3fn_2E0: u] :
( ! [V4a: mono_2Etyop_2Equote_2Eindex] :
( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V3fn_2E0 ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ ( mono_2Ec_2Equote_2ELeft__idx @ V4a ) ) ) ) )
= ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) @ V0f0_2E0 ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V4a ) ) ) ) @ ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V3fn_2E0 ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V4a ) ) ) ) ) ) )
& ! [V5a: mono_2Etyop_2Equote_2Eindex] :
( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V3fn_2E0 ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ ( mono_2Ec_2Equote_2ERight__idx @ V5a ) ) ) ) )
= ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) @ V1f1_2E0 ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V5a ) ) ) ) @ ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V3fn_2E0 ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V5a ) ) ) ) ) ) )
& ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V3fn_2E0 ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2EEnd__idx ) ) ) )
= ( s @ A_27a @ V2f2_2E0 ) ) ) ).
thf(thm_2Equote_2Eindex__induction,axiom,
! [V0P: mono_2Etyop_2Equote_2Eindex > $o] :
( ( ! [V1i: mono_2Etyop_2Equote_2Eindex] :
( ( V0P @ V1i )
=> ( V0P @ ( mono_2Ec_2Equote_2ELeft__idx @ V1i ) ) )
& ! [V2i: mono_2Etyop_2Equote_2Eindex] :
( ( V0P @ V2i )
=> ( V0P @ ( mono_2Ec_2Equote_2ERight__idx @ V2i ) ) )
& ( V0P @ mono_2Ec_2Equote_2EEnd__idx ) )
=> ! [V3i: mono_2Etyop_2Equote_2Eindex] : ( V0P @ V3i ) ) ).
thf(thm_2Equote_2Eindex__case__cong,axiom,
! [A_27a: d,V0v_27_2E0: u,V1f1_27_2E0: u,V2f_27_2E0: u,V3M: mono_2Etyop_2Equote_2Eindex,V4M_27: mono_2Etyop_2Equote_2Eindex,V5f_2E0: u,V6f1_2E0: u,V7v_2E0: u] :
( ( ( V3M = V4M_27 )
& ! [V8a: mono_2Etyop_2Equote_2Eindex] :
( ( V4M_27
= ( mono_2Ec_2Equote_2ELeft__idx @ V8a ) )
=> ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V5f_2E0 ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V8a ) ) ) )
= ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V2f_27_2E0 ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V8a ) ) ) ) ) )
& ! [V9a: mono_2Etyop_2Equote_2Eindex] :
( ( V4M_27
= ( mono_2Ec_2Equote_2ERight__idx @ V9a ) )
=> ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V6f1_2E0 ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V9a ) ) ) )
= ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V1f1_27_2E0 ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V9a ) ) ) ) ) )
& ( ( V4M_27 = mono_2Ec_2Equote_2EEnd__idx )
=> ( ( s @ A_27a @ V7v_2E0 )
= ( s @ A_27a @ V0v_27_2E0 ) ) ) )
=> ( ( s @ A_27a @ ( c_2Equote_2Eindex__CASE_2E4 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V3M ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V5f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V6f1_2E0 ) @ ( s @ A_27a @ V7v_2E0 ) ) )
= ( s @ A_27a @ ( c_2Equote_2Eindex__CASE_2E4 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V4M_27 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V2f_27_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V1f1_27_2E0 ) @ ( s @ A_27a @ V0v_27_2E0 ) ) ) ) ) ).
thf(thm_2Equote_2Eindex__case__eq,axiom,
! [A_27a: d,V0x: mono_2Etyop_2Equote_2Eindex,V1v_27_2E0: u,V2v_2E0: u,V3f1_2E0: u,V4f_2E0: u] :
( ( ( s @ A_27a @ ( c_2Equote_2Eindex__CASE_2E4 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V0x ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V4f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V3f1_2E0 ) @ ( s @ A_27a @ V2v_2E0 ) ) )
= ( s @ A_27a @ V1v_27_2E0 ) )
<=> ( ? [V5i: mono_2Etyop_2Equote_2Eindex] :
( ( V0x
= ( mono_2Ec_2Equote_2ELeft__idx @ V5i ) )
& ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V4f_2E0 ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V5i ) ) ) )
= ( s @ A_27a @ V1v_27_2E0 ) ) )
| ? [V6i: mono_2Etyop_2Equote_2Eindex] :
( ( V0x
= ( mono_2Ec_2Equote_2ERight__idx @ V6i ) )
& ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ A_27a ) @ V3f1_2E0 ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V6i ) ) ) )
= ( s @ A_27a @ V1v_27_2E0 ) ) )
| ( ( V0x = mono_2Ec_2Equote_2EEnd__idx )
& ( ( s @ A_27a @ V2v_2E0 )
= ( s @ A_27a @ V1v_27_2E0 ) ) ) ) ) ).
thf(thm_2Equote_2Eindex__compare__ind,axiom,
! [V0P: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > $o] :
( ( ( V0P @ mono_2Ec_2Equote_2EEnd__idx @ mono_2Ec_2Equote_2EEnd__idx )
& ! [V1v10: mono_2Etyop_2Equote_2Eindex] : ( V0P @ mono_2Ec_2Equote_2EEnd__idx @ ( mono_2Ec_2Equote_2ELeft__idx @ V1v10 ) )
& ! [V2v11: mono_2Etyop_2Equote_2Eindex] : ( V0P @ mono_2Ec_2Equote_2EEnd__idx @ ( mono_2Ec_2Equote_2ERight__idx @ V2v11 ) )
& ! [V3v2: mono_2Etyop_2Equote_2Eindex] : ( V0P @ ( mono_2Ec_2Equote_2ELeft__idx @ V3v2 ) @ mono_2Ec_2Equote_2EEnd__idx )
& ! [V4v3: mono_2Etyop_2Equote_2Eindex] : ( V0P @ ( mono_2Ec_2Equote_2ERight__idx @ V4v3 ) @ mono_2Ec_2Equote_2EEnd__idx )
& ! [V5n_27: mono_2Etyop_2Equote_2Eindex,V6m_27: mono_2Etyop_2Equote_2Eindex] :
( ( V0P @ V5n_27 @ V6m_27 )
=> ( V0P @ ( mono_2Ec_2Equote_2ELeft__idx @ V5n_27 ) @ ( mono_2Ec_2Equote_2ELeft__idx @ V6m_27 ) ) )
& ! [V7n_27: mono_2Etyop_2Equote_2Eindex,V8m_27: mono_2Etyop_2Equote_2Eindex] : ( V0P @ ( mono_2Ec_2Equote_2ELeft__idx @ V7n_27 ) @ ( mono_2Ec_2Equote_2ERight__idx @ V8m_27 ) )
& ! [V9n_27: mono_2Etyop_2Equote_2Eindex,V10m_27: mono_2Etyop_2Equote_2Eindex] :
( ( V0P @ V9n_27 @ V10m_27 )
=> ( V0P @ ( mono_2Ec_2Equote_2ERight__idx @ V9n_27 ) @ ( mono_2Ec_2Equote_2ERight__idx @ V10m_27 ) ) )
& ! [V11n_27: mono_2Etyop_2Equote_2Eindex,V12m_27: mono_2Etyop_2Equote_2Eindex] : ( V0P @ ( mono_2Ec_2Equote_2ERight__idx @ V11n_27 ) @ ( mono_2Ec_2Equote_2ELeft__idx @ V12m_27 ) ) )
=> ! [V13v: mono_2Etyop_2Equote_2Eindex,V14v1: mono_2Etyop_2Equote_2Eindex] : ( V0P @ V13v @ V14v1 ) ) ).
thf(thm_2Equote_2Eindex__compare__def,axiom,
( ( ( mono_2Ec_2Equote_2Eindex__compare @ mono_2Ec_2Equote_2EEnd__idx @ mono_2Ec_2Equote_2EEnd__idx )
= mono_2Ec_2EternaryComparisons_2EEQUAL )
& ! [V0v10: mono_2Etyop_2Equote_2Eindex] :
( ( mono_2Ec_2Equote_2Eindex__compare @ mono_2Ec_2Equote_2EEnd__idx @ ( mono_2Ec_2Equote_2ELeft__idx @ V0v10 ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
& ! [V1v11: mono_2Etyop_2Equote_2Eindex] :
( ( mono_2Ec_2Equote_2Eindex__compare @ mono_2Ec_2Equote_2EEnd__idx @ ( mono_2Ec_2Equote_2ERight__idx @ V1v11 ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
& ! [V2v2: mono_2Etyop_2Equote_2Eindex] :
( ( mono_2Ec_2Equote_2Eindex__compare @ ( mono_2Ec_2Equote_2ELeft__idx @ V2v2 ) @ mono_2Ec_2Equote_2EEnd__idx )
= mono_2Ec_2EternaryComparisons_2EGREATER )
& ! [V3v3: mono_2Etyop_2Equote_2Eindex] :
( ( mono_2Ec_2Equote_2Eindex__compare @ ( mono_2Ec_2Equote_2ERight__idx @ V3v3 ) @ mono_2Ec_2Equote_2EEnd__idx )
= mono_2Ec_2EternaryComparisons_2EGREATER )
& ! [V4n_27: mono_2Etyop_2Equote_2Eindex,V5m_27: mono_2Etyop_2Equote_2Eindex] :
( ( mono_2Ec_2Equote_2Eindex__compare @ ( mono_2Ec_2Equote_2ELeft__idx @ V4n_27 ) @ ( mono_2Ec_2Equote_2ELeft__idx @ V5m_27 ) )
= ( mono_2Ec_2Equote_2Eindex__compare @ V4n_27 @ V5m_27 ) )
& ! [V6n_27: mono_2Etyop_2Equote_2Eindex,V7m_27: mono_2Etyop_2Equote_2Eindex] :
( ( mono_2Ec_2Equote_2Eindex__compare @ ( mono_2Ec_2Equote_2ELeft__idx @ V6n_27 ) @ ( mono_2Ec_2Equote_2ERight__idx @ V7m_27 ) )
= mono_2Ec_2EternaryComparisons_2ELESS )
& ! [V8n_27: mono_2Etyop_2Equote_2Eindex,V9m_27: mono_2Etyop_2Equote_2Eindex] :
( ( mono_2Ec_2Equote_2Eindex__compare @ ( mono_2Ec_2Equote_2ERight__idx @ V8n_27 ) @ ( mono_2Ec_2Equote_2ERight__idx @ V9m_27 ) )
= ( mono_2Ec_2Equote_2Eindex__compare @ V8n_27 @ V9m_27 ) )
& ! [V10n_27: mono_2Etyop_2Equote_2Eindex,V11m_27: mono_2Etyop_2Equote_2Eindex] :
( ( mono_2Ec_2Equote_2Eindex__compare @ ( mono_2Ec_2Equote_2ERight__idx @ V10n_27 ) @ ( mono_2Ec_2Equote_2ELeft__idx @ V11m_27 ) )
= mono_2Ec_2EternaryComparisons_2EGREATER ) ) ).
thf(thm_2Equote_2Ecompare__index__equal,axiom,
! [V0i1: mono_2Etyop_2Equote_2Eindex,V1i2: mono_2Etyop_2Equote_2Eindex] :
( ( ( mono_2Ec_2Equote_2Eindex__compare @ V0i1 @ V1i2 )
= mono_2Ec_2EternaryComparisons_2EEQUAL )
<=> ( V0i1 = V1i2 ) ) ).
thf(thm_2Equote_2Ecompare__list__index,axiom,
! [V0l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V1l2: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( ( mono_2Ec_2EternaryComparisons_2Elist__compare_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__compare @ V0l1 @ V1l2 )
= mono_2Ec_2EternaryComparisons_2EEQUAL )
<=> ( V0l1 = V1l2 ) ) ).
thf(thm_2Equote_2Edatatype__varmap,axiom,
! [A_27a: d,V0varmap_2E0: u] : ( mono_2Ec_2Ebool_2EDATATYPE_2Emono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Equote_2Evarmap @ A_27a ) ) ) ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Equote_2Evarmap @ A_27a ) ) ) ) @ tyop_2Emin_2Ebool ) ) @ V0varmap_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ c_2Equote_2EEmpty__vm_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Equote_2Evarmap @ A_27a ) ) ) ) @ c_2Equote_2ENode__vm_2E0 ) ) ) ) ) ).
thf(thm_2Equote_2Evarmap__11,axiom,
! [A_27a: d,V0a0_2E0: u,V1a1_2E0: u,V2a2_2E0: u,V3a0_27_2E0: u,V4a1_27_2E0: u,V5a2_27_2E0: u] :
( ( ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( c_2Equote_2ENode__vm_2E3 @ ( s @ A_27a @ V0a0_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V1a1_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V2a2_2E0 ) ) )
= ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( c_2Equote_2ENode__vm_2E3 @ ( s @ A_27a @ V3a0_27_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V4a1_27_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V5a2_27_2E0 ) ) ) )
<=> ( ( ( s @ A_27a @ V0a0_2E0 )
= ( s @ A_27a @ V3a0_27_2E0 ) )
& ( ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V1a1_2E0 )
= ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V4a1_27_2E0 ) )
& ( ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V2a2_2E0 )
= ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V5a2_27_2E0 ) ) ) ) ).
thf(thm_2Equote_2Evarmap__distinct,axiom,
! [A_27a: d,V0a2_2E0: u,V1a1_2E0: u,V2a0_2E0: u] :
( (~)
@ ( ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ c_2Equote_2EEmpty__vm_2E0 )
= ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( c_2Equote_2ENode__vm_2E3 @ ( s @ A_27a @ V2a0_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V1a1_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V0a2_2E0 ) ) ) ) ) ).
thf(thm_2Equote_2Evarmap__nchotomy,axiom,
! [A_27a: d,V0vv_2E0: u] :
( ( ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V0vv_2E0 )
= ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ c_2Equote_2EEmpty__vm_2E0 ) )
| ? [V1a_2E0: u,V2v_2E0: u,V3v0_2E0: u] :
( ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V0vv_2E0 )
= ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( c_2Equote_2ENode__vm_2E3 @ ( s @ A_27a @ V1a_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V2v_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V3v0_2E0 ) ) ) ) ) ).
thf(thm_2Equote_2Evarmap__Axiom,axiom,
! [A_27a: d,A_27b: d,V0f0_2E0: u,V1f1_2E0: u] :
? [V2fn_2E0: u] :
( ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) @ V2fn_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ c_2Equote_2EEmpty__vm_2E0 ) ) )
= ( s @ A_27b @ V0f0_2E0 ) )
& ! [V3a0_2E0: u,V4a1_2E0: u,V5a2_2E0: u] :
( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) @ V2fn_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( c_2Equote_2ENode__vm_2E3 @ ( s @ A_27a @ V3a0_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V4a1_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V5a2_2E0 ) ) ) ) )
= ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ A_27b ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ A_27b ) ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ A_27b ) ) ) ) ) @ V1f1_2E0 ) @ ( s @ A_27a @ V3a0_2E0 ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V4a1_2E0 ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V5a2_2E0 ) ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) @ V2fn_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V4a1_2E0 ) ) ) ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) @ V2fn_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V5a2_2E0 ) ) ) ) ) ) ) ).
thf(thm_2Equote_2Evarmap__induction,axiom,
! [A_27a: d,V0P_2E0: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ c_2Equote_2EEmpty__vm_2E0 ) ) ) )
& ! [V1v_2E0: u,V2v0_2E0: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V1v_2E0 ) ) ) )
& ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V2v0_2E0 ) ) ) ) )
=> ! [V3a_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( c_2Equote_2ENode__vm_2E3 @ ( s @ A_27a @ V3a_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V1v_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V2v0_2E0 ) ) ) ) ) ) ) )
=> ! [V4v_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V4v_2E0 ) ) ) ) ) ).
thf(thm_2Equote_2Evarmap__case__cong,axiom,
! [A_27a: d,A_27b: d,V0v_27_2E0: u,V1f_27_2E0: u,V2M_2E0: u,V3M_27_2E0: u,V4v_2E0: u,V5f_2E0: u] :
( ( ( ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V2M_2E0 )
= ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V3M_27_2E0 ) )
& ( ( ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V3M_27_2E0 )
= ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ c_2Equote_2EEmpty__vm_2E0 ) )
=> ( ( s @ A_27b @ V4v_2E0 )
= ( s @ A_27b @ V0v_27_2E0 ) ) )
& ! [V6a0_2E0: u,V7a1_2E0: u,V8a2_2E0: u] :
( ( ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V3M_27_2E0 )
= ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( c_2Equote_2ENode__vm_2E3 @ ( s @ A_27a @ V6a0_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V7a1_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V8a2_2E0 ) ) ) )
=> ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) ) ) @ V5f_2E0 ) @ ( s @ A_27a @ V6a0_2E0 ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V7a1_2E0 ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V8a2_2E0 ) ) )
= ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) ) ) @ V1f_27_2E0 ) @ ( s @ A_27a @ V6a0_2E0 ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V7a1_2E0 ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V8a2_2E0 ) ) ) ) ) )
=> ( ( s @ A_27b @ ( c_2Equote_2Evarmap__CASE_2E3 @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V2M_2E0 ) @ ( s @ A_27b @ V4v_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) ) ) @ V5f_2E0 ) ) )
= ( s @ A_27b @ ( c_2Equote_2Evarmap__CASE_2E3 @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V3M_27_2E0 ) @ ( s @ A_27b @ V0v_27_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) ) ) @ V1f_27_2E0 ) ) ) ) ) ).
thf(thm_2Equote_2Evarmap__case__eq,axiom,
! [A_27a: d,A_27b: d,V0x_2E0: u,V1v_27_2E0: u,V2v_2E0: u,V3f_2E0: u] :
( ( ( s @ A_27b @ ( c_2Equote_2Evarmap__CASE_2E3 @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V0x_2E0 ) @ ( s @ A_27b @ V2v_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) ) ) @ V3f_2E0 ) ) )
= ( s @ A_27b @ V1v_27_2E0 ) )
<=> ( ( ( ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V0x_2E0 )
= ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ c_2Equote_2EEmpty__vm_2E0 ) )
& ( ( s @ A_27b @ V2v_2E0 )
= ( s @ A_27b @ V1v_27_2E0 ) ) )
| ? [V4a_2E0: u,V5v_27_27_2E0: u,V6v0_2E0: u] :
( ( ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V0x_2E0 )
= ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( c_2Equote_2ENode__vm_2E3 @ ( s @ A_27a @ V4a_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V5v_27_27_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V6v0_2E0 ) ) ) )
& ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ A_27b ) ) ) @ V3f_2E0 ) @ ( s @ A_27a @ V4a_2E0 ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V5v_27_27_2E0 ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V6v0_2E0 ) ) )
= ( s @ A_27b @ V1v_27_2E0 ) ) ) ) ) ).
thf(thm_2Equote_2Evarmap__find__ind,axiom,
! [A_27a: d,V0P_2E0: u] :
( ( ! [V1x_2E0: u,V2v1_2E0: u,V3v2_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ tyop_2Emin_2Ebool ) ) @ V0P_2E0 ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2EEnd__idx ) ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( c_2Equote_2ENode__vm_2E3 @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V2v1_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V3v2_2E0 ) ) ) ) ) )
& ! [V4i1: mono_2Etyop_2Equote_2Eindex,V5x_2E0: u,V6v1_2E0: u,V7v2_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ tyop_2Emin_2Ebool ) ) @ V0P_2E0 ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V4i1 ) ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V7v2_2E0 ) ) ) )
=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ tyop_2Emin_2Ebool ) ) @ V0P_2E0 ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ ( mono_2Ec_2Equote_2ERight__idx @ V4i1 ) ) ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( c_2Equote_2ENode__vm_2E3 @ ( s @ A_27a @ V5x_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V6v1_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V7v2_2E0 ) ) ) ) ) ) )
& ! [V8i1: mono_2Etyop_2Equote_2Eindex,V9x_2E0: u,V10v1_2E0: u,V11v2_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ tyop_2Emin_2Ebool ) ) @ V0P_2E0 ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V8i1 ) ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V10v1_2E0 ) ) ) )
=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ tyop_2Emin_2Ebool ) ) @ V0P_2E0 ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ ( mono_2Ec_2Equote_2ELeft__idx @ V8i1 ) ) ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( c_2Equote_2ENode__vm_2E3 @ ( s @ A_27a @ V9x_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V10v1_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V11v2_2E0 ) ) ) ) ) ) )
& ! [V12i: mono_2Etyop_2Equote_2Eindex] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ tyop_2Emin_2Ebool ) ) @ V0P_2E0 ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V12i ) ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ c_2Equote_2EEmpty__vm_2E0 ) ) ) ) )
=> ! [V13v: mono_2Etyop_2Equote_2Eindex,V14v1_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ A_27a ) @ tyop_2Emin_2Ebool ) ) @ V0P_2E0 ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V13v ) ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V14v1_2E0 ) ) ) ) ) ).
thf(thm_2Equote_2Evarmap__find__def,axiom,
! [A_27a: d,F0_2E0: u] :
( ! [V12x_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ F0_2E0 ) @ ( s @ A_27a @ V12x_2E0 ) ) ) )
= mono_2Ec_2Ebool_2ET )
=> ( ! [V0x_2E0: u,V1v2_2E0: u,V2v1_2E0: u] :
( ( s @ A_27a @ ( c_2Equote_2Evarmap__find_2E2 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2EEnd__idx ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( c_2Equote_2ENode__vm_2E3 @ ( s @ A_27a @ V0x_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V2v1_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V1v2_2E0 ) ) ) ) )
= ( s @ A_27a @ V0x_2E0 ) )
& ! [V3x_2E0: u,V4v2_2E0: u,V5v1_2E0: u,V6i1: mono_2Etyop_2Equote_2Eindex] :
( ( s @ A_27a @ ( c_2Equote_2Evarmap__find_2E2 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ ( mono_2Ec_2Equote_2ERight__idx @ V6i1 ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( c_2Equote_2ENode__vm_2E3 @ ( s @ A_27a @ V3x_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V5v1_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V4v2_2E0 ) ) ) ) )
= ( s @ A_27a @ ( c_2Equote_2Evarmap__find_2E2 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V6i1 ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V4v2_2E0 ) ) ) )
& ! [V7x_2E0: u,V8v2_2E0: u,V9v1_2E0: u,V10i1: mono_2Etyop_2Equote_2Eindex] :
( ( s @ A_27a @ ( c_2Equote_2Evarmap__find_2E2 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ ( mono_2Ec_2Equote_2ELeft__idx @ V10i1 ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( c_2Equote_2ENode__vm_2E3 @ ( s @ A_27a @ V7x_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V9v1_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V8v2_2E0 ) ) ) ) )
= ( s @ A_27a @ ( c_2Equote_2Evarmap__find_2E2 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V10i1 ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V9v1_2E0 ) ) ) )
& ! [V11i: mono_2Etyop_2Equote_2Eindex] :
( ( s @ A_27a @ ( c_2Equote_2Evarmap__find_2E2 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V11i ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ c_2Equote_2EEmpty__vm_2E0 ) ) )
= ( s @ A_27a @ ( c_2Emin_2E_40_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ F0_2E0 ) ) ) ) ) ) ).
%------------------------------------------------------------------------------