ITP001 Axioms: ITP117^4.ax
%------------------------------------------------------------------------------
% File : ITP117^4 : 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 : numRing.ax [Gau19]
% : HL4117^4.ax [TPAP]
% Status : Satisfiable
% Syntax : Number of formulae : 813 ( 344 unt; 461 typ; 0 def)
% Number of atoms : 558 ( 481 equ; 2 cnn)
% Maximal formula atoms : 92 ( 0 avg)
% Number of connectives : 7387 ( 2 ~; 1 |; 131 &;7224 @)
% ( 24 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 65 ( 3 avg;7224 nst)
% Number of types : 12 ( 11 usr)
% Number of type conns : 1543 (1543 >; 0 *; 0 +; 0 <<)
% Number of symbols : 452 ( 450 usr; 100 con; 0-5 aty)
% Number of variables : 677 ( 0 ^ 676 !; 1 ?; 677 :)
% 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_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,type,
mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29: $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_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29,type,
mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29: $tType ).
thf(mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,type,
mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29: $tType ).
thf(mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29,type,
mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29: $tType ).
thf(tyop_2Ecanonical_2Ecanonical__sum,type,
tyop_2Ecanonical_2Ecanonical__sum: d > d ).
thf(tyop_2Ecanonical_2Espolynom,type,
tyop_2Ecanonical_2Espolynom: 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_2Esemi__ring_2Esemi__ring,type,
tyop_2Esemi__ring_2Esemi__ring: 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_2A_2E0,type,
c_2Earithmetic_2E_2A_2E0: u ).
thf(c_2Earithmetic_2E_2A_2E2,type,
c_2Earithmetic_2E_2A_2E2: du > 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_2Earithmetic_2E_2D_2E0,type,
c_2Earithmetic_2E_2D_2E0: u ).
thf(c_2Earithmetic_2E_2D_2E2,type,
c_2Earithmetic_2E_2D_2E2: du > du > u ).
thf(c_2Ebool_2E_2F_5C_2E0,type,
c_2Ebool_2E_2F_5C_2E0: u ).
thf(c_2Ebool_2E_2F_5C_2E2,type,
c_2Ebool_2E_2F_5C_2E2: du > du > u ).
thf(c_2Enum_2E0_2E0,type,
c_2Enum_2E0_2E0: u ).
thf(c_2Eprim__rec_2E_3C_2E0,type,
c_2Eprim__rec_2E_3C_2E0: u ).
thf(c_2Eprim__rec_2E_3C_2E2,type,
c_2Eprim__rec_2E_3C_2E2: du > du > u ).
thf(c_2Earithmetic_2E_3C_3D_2E0,type,
c_2Earithmetic_2E_3C_3D_2E0: u ).
thf(c_2Earithmetic_2E_3C_3D_2E2,type,
c_2Earithmetic_2E_3C_3D_2E2: du > du > u ).
thf(c_2Emin_2E_3D_2E0,type,
c_2Emin_2E_3D_2E0: u ).
thf(c_2Emin_2E_3D_2E2,type,
c_2Emin_2E_3D_2E2: du > du > u ).
thf(c_2Emin_2E_3D_3D_3E_2E0,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
thf(c_2Emin_2E_3D_3D_3E_2E2,type,
c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
thf(c_2Earithmetic_2E_3E_2E0,type,
c_2Earithmetic_2E_3E_2E0: u ).
thf(c_2Earithmetic_2E_3E_2E2,type,
c_2Earithmetic_2E_3E_2E2: du > du > u ).
thf(c_2Earithmetic_2E_3E_3D_2E0,type,
c_2Earithmetic_2E_3E_3D_2E0: u ).
thf(c_2Earithmetic_2E_3E_3D_2E2,type,
c_2Earithmetic_2E_3E_3D_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_2Earithmetic_2EBIT1_2E0,type,
c_2Earithmetic_2EBIT1_2E0: u ).
thf(c_2Earithmetic_2EBIT1_2E1,type,
c_2Earithmetic_2EBIT1_2E1: du > u ).
thf(c_2Earithmetic_2EBIT2_2E0,type,
c_2Earithmetic_2EBIT2_2E0: u ).
thf(c_2Earithmetic_2EBIT2_2E1,type,
c_2Earithmetic_2EBIT2_2E1: du > u ).
thf(c_2Ebool_2ECOND_2E0,type,
c_2Ebool_2ECOND_2E0: u ).
thf(c_2Ebool_2ECOND_2E3,type,
c_2Ebool_2ECOND_2E3: du > du > du > u ).
thf(c_2Elist_2ECONS_2E0,type,
c_2Elist_2ECONS_2E0: u ).
thf(c_2Elist_2ECONS_2E2,type,
c_2Elist_2ECONS_2E2: du > du > u ).
thf(c_2Ecanonical_2ECons__monom_2E0,type,
c_2Ecanonical_2ECons__monom_2E0: u ).
thf(c_2Ecanonical_2ECons__monom_2E3,type,
c_2Ecanonical_2ECons__monom_2E3: du > du > du > u ).
thf(c_2Ecanonical_2ECons__varlist_2E0,type,
c_2Ecanonical_2ECons__varlist_2E0: u ).
thf(c_2Ecanonical_2ECons__varlist_2E2,type,
c_2Ecanonical_2ECons__varlist_2E2: du > du > u ).
thf(c_2Earithmetic_2EEVEN_2E0,type,
c_2Earithmetic_2EEVEN_2E0: u ).
thf(c_2Earithmetic_2EEVEN_2E1,type,
c_2Earithmetic_2EEVEN_2E1: du > u ).
thf(c_2Earithmetic_2EEXP_2E0,type,
c_2Earithmetic_2EEXP_2E0: u ).
thf(c_2Earithmetic_2EEXP_2E2,type,
c_2Earithmetic_2EEXP_2E2: du > du > 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_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_2Elist_2ENIL_2E0,type,
c_2Elist_2ENIL_2E0: u ).
thf(c_2Earithmetic_2ENUMERAL_2E0,type,
c_2Earithmetic_2ENUMERAL_2E0: u ).
thf(c_2Earithmetic_2ENUMERAL_2E1,type,
c_2Earithmetic_2ENUMERAL_2E1: du > u ).
thf(c_2Ecanonical_2ENil__monom_2E0,type,
c_2Ecanonical_2ENil__monom_2E0: 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_2Earithmetic_2EODD_2E0,type,
c_2Earithmetic_2EODD_2E0: u ).
thf(c_2Earithmetic_2EODD_2E1,type,
c_2Earithmetic_2EODD_2E1: du > u ).
thf(c_2Eprim__rec_2EPRE_2E0,type,
c_2Eprim__rec_2EPRE_2E0: u ).
thf(c_2Eprim__rec_2EPRE_2E1,type,
c_2Eprim__rec_2EPRE_2E1: 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_2Ecanonical_2ESPconst_2E0,type,
c_2Ecanonical_2ESPconst_2E0: u ).
thf(c_2Ecanonical_2ESPconst_2E1,type,
c_2Ecanonical_2ESPconst_2E1: du > u ).
thf(c_2Ecanonical_2ESPmult_2E0,type,
c_2Ecanonical_2ESPmult_2E0: u ).
thf(c_2Ecanonical_2ESPmult_2E2,type,
c_2Ecanonical_2ESPmult_2E2: du > du > u ).
thf(c_2Ecanonical_2ESPplus_2E0,type,
c_2Ecanonical_2ESPplus_2E0: u ).
thf(c_2Ecanonical_2ESPplus_2E2,type,
c_2Ecanonical_2ESPplus_2E2: du > du > u ).
thf(c_2Ecanonical_2ESPvar_2E0,type,
c_2Ecanonical_2ESPvar_2E0: u ).
thf(c_2Ecanonical_2ESPvar_2E1,type,
c_2Ecanonical_2ESPvar_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_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_2Ecanonical_2Ecanonical__sum__merge_2E0,type,
c_2Ecanonical_2Ecanonical__sum__merge_2E0: u ).
thf(c_2Ecanonical_2Ecanonical__sum__merge_2E1,type,
c_2Ecanonical_2Ecanonical__sum__merge_2E1: du > u ).
thf(c_2Ecanonical_2Ecanonical__sum__prod_2E0,type,
c_2Ecanonical_2Ecanonical__sum__prod_2E0: u ).
thf(c_2Ecanonical_2Ecanonical__sum__prod_2E1,type,
c_2Ecanonical_2Ecanonical__sum__prod_2E1: du > u ).
thf(c_2Ecanonical_2Ecanonical__sum__scalar_2E0,type,
c_2Ecanonical_2Ecanonical__sum__scalar_2E0: u ).
thf(c_2Ecanonical_2Ecanonical__sum__scalar_2E1,type,
c_2Ecanonical_2Ecanonical__sum__scalar_2E1: du > u ).
thf(c_2Ecanonical_2Ecanonical__sum__scalar2_2E0,type,
c_2Ecanonical_2Ecanonical__sum__scalar2_2E0: u ).
thf(c_2Ecanonical_2Ecanonical__sum__scalar2_2E1,type,
c_2Ecanonical_2Ecanonical__sum__scalar2_2E1: du > u ).
thf(c_2Ecanonical_2Ecanonical__sum__scalar3_2E0,type,
c_2Ecanonical_2Ecanonical__sum__scalar3_2E0: u ).
thf(c_2Ecanonical_2Ecanonical__sum__scalar3_2E1,type,
c_2Ecanonical_2Ecanonical__sum__scalar3_2E1: du > u ).
thf(c_2Ecanonical_2Ecanonical__sum__simplify_2E0,type,
c_2Ecanonical_2Ecanonical__sum__simplify_2E0: u ).
thf(c_2Ecanonical_2Ecanonical__sum__simplify_2E1,type,
c_2Ecanonical_2Ecanonical__sum__simplify_2E1: du > u ).
thf(c_2Enumeral_2EiDUB_2E0,type,
c_2Enumeral_2EiDUB_2E0: u ).
thf(c_2Enumeral_2EiDUB_2E1,type,
c_2Enumeral_2EiDUB_2E1: du > u ).
thf(c_2Enumeral_2EiZ_2E0,type,
c_2Enumeral_2EiZ_2E0: u ).
thf(c_2Enumeral_2EiZ_2E1,type,
c_2Enumeral_2EiZ_2E1: du > u ).
thf(c_2Ecanonical_2Eics__aux_2E0,type,
c_2Ecanonical_2Eics__aux_2E0: u ).
thf(c_2Ecanonical_2Eics__aux_2E1,type,
c_2Ecanonical_2Eics__aux_2E1: du > u ).
thf(c_2Enumeral_2EiiSUC_2E0,type,
c_2Enumeral_2EiiSUC_2E0: u ).
thf(c_2Enumeral_2EiiSUC_2E1,type,
c_2Enumeral_2EiiSUC_2E1: du > u ).
thf(c_2Equote_2Eindex__compare_2E0,type,
c_2Equote_2Eindex__compare_2E0: u ).
thf(c_2Equote_2Eindex__lt_2E0,type,
c_2Equote_2Eindex__lt_2E0: u ).
thf(c_2Ecanonical_2Einterp__cs_2E0,type,
c_2Ecanonical_2Einterp__cs_2E0: u ).
thf(c_2Ecanonical_2Einterp__cs_2E1,type,
c_2Ecanonical_2Einterp__cs_2E1: du > u ).
thf(c_2Ecanonical_2Einterp__m_2E0,type,
c_2Ecanonical_2Einterp__m_2E0: u ).
thf(c_2Ecanonical_2Einterp__m_2E1,type,
c_2Ecanonical_2Einterp__m_2E1: du > u ).
thf(c_2Ecanonical_2Einterp__sp_2E0,type,
c_2Ecanonical_2Einterp__sp_2E0: u ).
thf(c_2Ecanonical_2Einterp__sp_2E1,type,
c_2Ecanonical_2Einterp__sp_2E1: du > u ).
thf(c_2Ecanonical_2Einterp__vl_2E0,type,
c_2Ecanonical_2Einterp__vl_2E0: u ).
thf(c_2Ecanonical_2Einterp__vl_2E1,type,
c_2Ecanonical_2Einterp__vl_2E1: du > u ).
thf(c_2Esemi__ring_2Eis__semi__ring_2E0,type,
c_2Esemi__ring_2Eis__semi__ring_2E0: u ).
thf(c_2Esemi__ring_2Eis__semi__ring_2E1,type,
c_2Esemi__ring_2Eis__semi__ring_2E1: du > u ).
thf(c_2Ecanonical_2Eivl__aux_2E0,type,
c_2Ecanonical_2Eivl__aux_2E0: u ).
thf(c_2Ecanonical_2Eivl__aux_2E1,type,
c_2Ecanonical_2Eivl__aux_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_2EternaryComparisons_2Elist__merge_2E0,type,
c_2EternaryComparisons_2Elist__merge_2E0: u ).
thf(c_2EternaryComparisons_2Elist__merge_2E3,type,
c_2EternaryComparisons_2Elist__merge_2E3: du > du > du > u ).
thf(c_2Ecanonical_2Emonom__insert_2E0,type,
c_2Ecanonical_2Emonom__insert_2E0: u ).
thf(c_2Ecanonical_2Emonom__insert_2E1,type,
c_2Ecanonical_2Emonom__insert_2E1: du > u ).
thf(c_2EnumRing_2Enum__canonical__sum__merge_2E0,type,
c_2EnumRing_2Enum__canonical__sum__merge_2E0: u ).
thf(c_2EnumRing_2Enum__canonical__sum__merge_2E2,type,
c_2EnumRing_2Enum__canonical__sum__merge_2E2: du > du > u ).
thf(c_2EnumRing_2Enum__canonical__sum__prod_2E0,type,
c_2EnumRing_2Enum__canonical__sum__prod_2E0: u ).
thf(c_2EnumRing_2Enum__canonical__sum__prod_2E2,type,
c_2EnumRing_2Enum__canonical__sum__prod_2E2: du > du > u ).
thf(c_2EnumRing_2Enum__canonical__sum__scalar_2E0,type,
c_2EnumRing_2Enum__canonical__sum__scalar_2E0: u ).
thf(c_2EnumRing_2Enum__canonical__sum__scalar_2E2,type,
c_2EnumRing_2Enum__canonical__sum__scalar_2E2: du > du > u ).
thf(c_2EnumRing_2Enum__canonical__sum__scalar2_2E0,type,
c_2EnumRing_2Enum__canonical__sum__scalar2_2E0: u ).
thf(c_2EnumRing_2Enum__canonical__sum__scalar2_2E2,type,
c_2EnumRing_2Enum__canonical__sum__scalar2_2E2: du > du > u ).
thf(c_2EnumRing_2Enum__canonical__sum__scalar3_2E0,type,
c_2EnumRing_2Enum__canonical__sum__scalar3_2E0: u ).
thf(c_2EnumRing_2Enum__canonical__sum__scalar3_2E3,type,
c_2EnumRing_2Enum__canonical__sum__scalar3_2E3: du > du > du > u ).
thf(c_2EnumRing_2Enum__canonical__sum__simplify_2E0,type,
c_2EnumRing_2Enum__canonical__sum__simplify_2E0: u ).
thf(c_2EnumRing_2Enum__canonical__sum__simplify_2E1,type,
c_2EnumRing_2Enum__canonical__sum__simplify_2E1: du > u ).
thf(c_2EnumRing_2Enum__ics__aux_2E0,type,
c_2EnumRing_2Enum__ics__aux_2E0: u ).
thf(c_2EnumRing_2Enum__ics__aux_2E3,type,
c_2EnumRing_2Enum__ics__aux_2E3: du > du > du > u ).
thf(c_2EnumRing_2Enum__interp__cs_2E0,type,
c_2EnumRing_2Enum__interp__cs_2E0: u ).
thf(c_2EnumRing_2Enum__interp__cs_2E2,type,
c_2EnumRing_2Enum__interp__cs_2E2: du > du > u ).
thf(c_2EnumRing_2Enum__interp__m_2E0,type,
c_2EnumRing_2Enum__interp__m_2E0: u ).
thf(c_2EnumRing_2Enum__interp__m_2E3,type,
c_2EnumRing_2Enum__interp__m_2E3: du > du > du > u ).
thf(c_2EnumRing_2Enum__interp__sp_2E0,type,
c_2EnumRing_2Enum__interp__sp_2E0: u ).
thf(c_2EnumRing_2Enum__interp__sp_2E2,type,
c_2EnumRing_2Enum__interp__sp_2E2: du > du > u ).
thf(c_2EnumRing_2Enum__interp__vl_2E0,type,
c_2EnumRing_2Enum__interp__vl_2E0: u ).
thf(c_2EnumRing_2Enum__interp__vl_2E2,type,
c_2EnumRing_2Enum__interp__vl_2E2: du > du > u ).
thf(c_2EnumRing_2Enum__ivl__aux_2E0,type,
c_2EnumRing_2Enum__ivl__aux_2E0: u ).
thf(c_2EnumRing_2Enum__ivl__aux_2E3,type,
c_2EnumRing_2Enum__ivl__aux_2E3: du > du > du > u ).
thf(c_2EnumRing_2Enum__monom__insert_2E0,type,
c_2EnumRing_2Enum__monom__insert_2E0: u ).
thf(c_2EnumRing_2Enum__monom__insert_2E3,type,
c_2EnumRing_2Enum__monom__insert_2E3: du > du > du > u ).
thf(c_2EnumRing_2Enum__spolynom__normalize_2E0,type,
c_2EnumRing_2Enum__spolynom__normalize_2E0: u ).
thf(c_2EnumRing_2Enum__spolynom__normalize_2E1,type,
c_2EnumRing_2Enum__spolynom__normalize_2E1: du > u ).
thf(c_2EnumRing_2Enum__spolynom__simplify_2E0,type,
c_2EnumRing_2Enum__spolynom__simplify_2E0: u ).
thf(c_2EnumRing_2Enum__spolynom__simplify_2E1,type,
c_2EnumRing_2Enum__spolynom__simplify_2E1: du > u ).
thf(c_2EnumRing_2Enum__varlist__insert_2E0,type,
c_2EnumRing_2Enum__varlist__insert_2E0: u ).
thf(c_2EnumRing_2Enum__varlist__insert_2E2,type,
c_2EnumRing_2Enum__varlist__insert_2E2: du > du > u ).
thf(c_2EternaryComparisons_2Eordering__CASE_2E0,type,
c_2EternaryComparisons_2Eordering__CASE_2E0: u ).
thf(c_2EternaryComparisons_2Eordering__CASE_2E4,type,
c_2EternaryComparisons_2Eordering__CASE_2E4: du > du > du > du > u ).
thf(c_2Esemi__ring_2Erecordtype_2Esemi__ring_2E0,type,
c_2Esemi__ring_2Erecordtype_2Esemi__ring_2E0: u ).
thf(c_2Esemi__ring_2Erecordtype_2Esemi__ring_2E4,type,
c_2Esemi__ring_2Erecordtype_2Esemi__ring_2E4: du > du > du > du > u ).
thf(c_2Ecanonical_2Espolynom__normalize_2E0,type,
c_2Ecanonical_2Espolynom__normalize_2E0: u ).
thf(c_2Ecanonical_2Espolynom__normalize_2E1,type,
c_2Ecanonical_2Espolynom__normalize_2E1: du > u ).
thf(c_2Ecanonical_2Espolynom__simplify_2E0,type,
c_2Ecanonical_2Espolynom__simplify_2E0: u ).
thf(c_2Ecanonical_2Espolynom__simplify_2E1,type,
c_2Ecanonical_2Espolynom__simplify_2E1: du > u ).
thf(c_2Ecanonical_2Evarlist__insert_2E0,type,
c_2Ecanonical_2Evarlist__insert_2E0: u ).
thf(c_2Ecanonical_2Evarlist__insert_2E1,type,
c_2Ecanonical_2Evarlist__insert_2E1: 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_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_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29: ( $o > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > $o > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,type,
mono_2Eapp_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29: ( mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29: ( mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum,type,
mono_2Eapp_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29: ( ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 ) > ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_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_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_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 ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_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 ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_20mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_20mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 ) > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
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_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 ) > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 ) > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 ).
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_2Elist_2Elist_28tyop_2Equote_2Eindex_29,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 ) > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_20mono_2Etyop_2Enum_2Enum,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ).
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_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_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 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_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 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_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 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_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 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_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_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29: ( mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > $o ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,type,
mono_2Eapp_2Emono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29: ( mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 ) > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum,type,
mono_2Eapp_2Emono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,type,
mono_2Eapp_2Emono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29: ( mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 ) > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Earithmetic_2E_2A,type,
mono_2Ec_2Earithmetic_2E_2A: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Earithmetic_2E_2B,type,
mono_2Ec_2Earithmetic_2E_2B: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Earithmetic_2E_2D,type,
mono_2Ec_2Earithmetic_2E_2D: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Ebool_2E_2F_5C,type,
mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(mono_2Ec_2Enum_2E0,type,
mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Eprim__rec_2E_3C,type,
mono_2Ec_2Eprim__rec_2E_3C: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2Earithmetic_2E_3C_3D,type,
mono_2Ec_2Earithmetic_2E_3C_3D: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2Emin_2E_3D_3D_3E,type,
mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(mono_2Ec_2Earithmetic_2E_3E,type,
mono_2Ec_2Earithmetic_2E_3E: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2Earithmetic_2E_3E_3D,type,
mono_2Ec_2Earithmetic_2E_3E_3D: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2Earithmetic_2EBIT1,type,
mono_2Ec_2Earithmetic_2EBIT1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Earithmetic_2EBIT2,type,
mono_2Ec_2Earithmetic_2EBIT2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,type,
mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29: $o > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Equote_2Eindex,type,
mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Equote_2Eindex: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 ).
thf(mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Earithmetic_2EEVEN,type,
mono_2Ec_2Earithmetic_2EEVEN: mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2Earithmetic_2EEXP,type,
mono_2Ec_2Earithmetic_2EEXP: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
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_2Equote_2ELeft__idx,type,
mono_2Ec_2Equote_2ELeft__idx: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ).
thf(mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Equote_2Eindex,type,
mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Equote_2Eindex: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 ).
thf(mono_2Ec_2Earithmetic_2ENUMERAL,type,
mono_2Ec_2Earithmetic_2ENUMERAL: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Earithmetic_2EODD,type,
mono_2Ec_2Earithmetic_2EODD: mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2Eprim__rec_2EPRE,type,
mono_2Ec_2Eprim__rec_2EPRE: 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_2Ecanonical_2ESPconst_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ecanonical_2ESPconst_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Ecanonical_2ESPmult_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ecanonical_2ESPmult_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Ecanonical_2ESPplus_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ecanonical_2ESPplus_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Ecanonical_2ESPvar_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ecanonical_2ESPvar_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 ).
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_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_2Ecanonical_2Ecanonical__sum__merge_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ecanonical_2Ecanonical__sum__merge_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Ecanonical_2Ecanonical__sum__prod_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ecanonical_2Ecanonical__sum__prod_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Ecanonical_2Ecanonical__sum__scalar_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ecanonical_2Ecanonical__sum__scalar_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Ecanonical_2Ecanonical__sum__scalar2_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ecanonical_2Ecanonical__sum__scalar2_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Ecanonical_2Ecanonical__sum__scalar3_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ecanonical_2Ecanonical__sum__scalar3_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Ecanonical_2Ecanonical__sum__simplify_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ecanonical_2Ecanonical__sum__simplify_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Enumeral_2EiDUB,type,
mono_2Ec_2Enumeral_2EiDUB: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Enumeral_2EiZ,type,
mono_2Ec_2Enumeral_2EiZ: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Ecanonical_2Eics__aux_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ecanonical_2Eics__aux_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Enumeral_2EiiSUC,type,
mono_2Ec_2Enumeral_2EiiSUC: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
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_2Ecanonical_2Einterp__cs_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ecanonical_2Einterp__cs_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Ecanonical_2Einterp__m_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ecanonical_2Einterp__m_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Ecanonical_2Einterp__sp_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ecanonical_2Einterp__sp_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Ecanonical_2Einterp__vl_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ecanonical_2Einterp__vl_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Esemi__ring_2Eis__semi__ring_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Esemi__ring_2Eis__semi__ring_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > $o ).
thf(mono_2Ec_2Ecanonical_2Eivl__aux_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ecanonical_2Eivl__aux_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > 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_2EternaryComparisons_2Elist__merge_2Emono_2Etyop_2Equote_2Eindex,type,
mono_2Ec_2EternaryComparisons_2Elist__merge_2Emono_2Etyop_2Equote_2Eindex: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 ).
thf(mono_2Ec_2Ecanonical_2Emonom__insert_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ecanonical_2Emonom__insert_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2EnumRing_2Enum__canonical__sum__merge,type,
mono_2Ec_2EnumRing_2Enum__canonical__sum__merge: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2EnumRing_2Enum__canonical__sum__prod,type,
mono_2Ec_2EnumRing_2Enum__canonical__sum__prod: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar,type,
mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar2,type,
mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar2: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar3,type,
mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar3: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2EnumRing_2Enum__canonical__sum__simplify,type,
mono_2Ec_2EnumRing_2Enum__canonical__sum__simplify: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2EnumRing_2Enum__ics__aux,type,
mono_2Ec_2EnumRing_2Enum__ics__aux: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2EnumRing_2Enum__interp__cs,type,
mono_2Ec_2EnumRing_2Enum__interp__cs: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2EnumRing_2Enum__interp__m,type,
mono_2Ec_2EnumRing_2Enum__interp__m: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2EnumRing_2Enum__interp__sp,type,
mono_2Ec_2EnumRing_2Enum__interp__sp: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2EnumRing_2Enum__interp__vl,type,
mono_2Ec_2EnumRing_2Enum__interp__vl: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2EnumRing_2Enum__ivl__aux,type,
mono_2Ec_2EnumRing_2Enum__ivl__aux: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2EnumRing_2Enum__monom__insert,type,
mono_2Ec_2EnumRing_2Enum__monom__insert: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2EnumRing_2Enum__spolynom__normalize,type,
mono_2Ec_2EnumRing_2Enum__spolynom__normalize: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2EnumRing_2Enum__spolynom__simplify,type,
mono_2Ec_2EnumRing_2Enum__spolynom__simplify: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2EnumRing_2Enum__varlist__insert,type,
mono_2Ec_2EnumRing_2Enum__varlist__insert: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,type,
mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29: mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Ecanonical_2Espolynom__normalize_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ecanonical_2Espolynom__normalize_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Ecanonical_2Espolynom__simplify_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ecanonical_2Espolynom__simplify_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Ecanonical_2Evarlist__insert_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ecanonical_2Evarlist__insert_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(mono_2Ec_2Equote_2Evarmap__find_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Equote_2Evarmap__find_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
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_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,type,
i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > 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_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29: ( $o > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29: ( mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29: ( mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29_29: ( ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_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_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_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 ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 ) > 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_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > 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_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_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_2Elist_2Elist_28tyop_2Equote_2Eindex_29_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_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_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_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ) > 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_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_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 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_29_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 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_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_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29: ( mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29: ( mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29_29: ( mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > 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_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29,type,
i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > u ).
thf(i_mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,type,
i_mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > u ).
thf(i_mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29,type,
i_mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > u ).
thf(j_mono_2Etyop_2Emin_2Ebool,type,
j_mono_2Etyop_2Emin_2Ebool: du > $o ).
thf(j_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,type,
j_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29: du > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
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_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29: du > $o > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29: du > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29: du > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29_29: du > ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_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_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29: du > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29: du > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 ).
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_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29: du > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
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_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_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_2Elist_2Elist_28tyop_2Equote_2Eindex_29_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_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_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_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ).
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_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Enum_2Enum > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_29: du > mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_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_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29: du > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29: du > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29: du > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29: du > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29: du > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29: du > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29: du > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29: du > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29_29: du > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29: du > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29_29: du > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29_29: du > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29: du > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29_29: du > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29: du > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29: du > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29: du > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
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_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29,type,
j_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29: du > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,type,
j_mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29: du > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 ).
thf(j_mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29,type,
j_mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29: du > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 ).
thf(reserved_2Eho_2Eeq__ext,axiom,
! [A_27a: d,A_27b: d,V0f_2E0: u,V1g_2E0: u] :
( ! [V2x_2E0: u] :
( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) )
= ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
=> ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 )
= ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) ).
thf(reserved_2Eho_2Ei__thm,axiom,
! [A_27a: d,V0x_2E0: u] :
( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ combin_i_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) )
= ( s @ A_27a @ V0x_2E0 ) ) ).
thf(reserved_2Eho_2Ek__thm,axiom,
! [A_27a: d,A_27b: d,V0x_2E0: u,V1y_2E0: u] :
( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) ) @ combin_k_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) ) @ ( s @ A_27b @ V1y_2E0 ) ) )
= ( s @ A_27a @ V0x_2E0 ) ) ).
thf(reserved_2Eho_2Es__thm,axiom,
! [A_27a: d,A_27b: d,A_27c: d,V0f_2E0: u,V1g_2E0: u,V2x_2E0: u] :
( ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) @ ( s @ A_27a @ V2x_2E0 ) ) )
= ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) ) ) ).
thf(reserved_2Elogic_2E_2F_5C,axiom,
! [V0: $o,V1: $o] :
( ( mono_2Ec_2Ebool_2E_2F_5C @ V0 @ V1 )
<=> ( V0
& V1 ) ) ).
thf(reserved_2Elogic_2E_5C_2F,axiom,
! [V0: $o,V1: $o] :
( ( mono_2Ec_2Ebool_2E_5C_2F @ V0 @ V1 )
<=> ( V0
| V1 ) ) ).
thf(reserved_2Elogic_2E_7E,axiom,
! [V0: $o] :
( ( mono_2Ec_2Ebool_2E_7E @ V0 )
<=> ( (~) @ V0 ) ) ).
thf(reserved_2Elogic_2E_3D_3D_3E,axiom,
! [V0: $o,V1: $o] :
( ( mono_2Ec_2Emin_2E_3D_3D_3E @ V0 @ V1 )
<=> ( V0
=> V1 ) ) ).
thf(reserved_2Elogic_2E_3D,axiom,
! [A_27a: d,V0_2E0: u,V1_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) )
<=> ( ( s @ A_27a @ V0_2E0 )
= ( s @ A_27a @ V1_2E0 ) ) ) ).
thf(reserved_2Equant_2E_21,axiom,
! [A_27a: d,V0f_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
<=> ! [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
thf(reserved_2Equant_2E_3F,axiom,
! [A_27a: d,V0f_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
<=> ? [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [V0_2E0: u] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ 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_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) ) ) @ 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_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) @ 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_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ 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_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ 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_2Elist_2Elist_28tyop_2Equote_2Eindex_29_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_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_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_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) ) @ 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_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) @ 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_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) ) ) ) @ 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_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2EternaryComparisons_2Eordering @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EternaryComparisons_2Eordering @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2EternaryComparisons_2Eordering @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ 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_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).
thf(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [V0: $o] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ 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_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0: $o > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_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_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_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_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_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_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_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_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_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_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_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_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_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_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29,axiom,
! [V0: mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EternaryComparisons_2Eordering @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_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_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29] :
( ( j_mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 @ V0 ) ) )
= V0 ) ).
thf(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_21_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).
thf(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_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_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(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_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0: $o > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: $o] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V1: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > $o] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29_29 @ V0 ) ) @ ( 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 @ 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_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29 @ V0 ) ) @ ( 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 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_20mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( 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 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V1: mono_2Etyop_2Equote_2Eindex] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_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_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Equote_2Eindex] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_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_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Equote_2Eindex] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_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_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Equote_2Eindex] :
( ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_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_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_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_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_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_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_2Elist_2Elist_28tyop_2Equote_2Eindex_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V1: 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 @ V1 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_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_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_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_2Ebool,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_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_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_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_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_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_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_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_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0: mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EternaryComparisons_2Eordering @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29 @ V0 ) ) @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > $o,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ c_2Ebool_2ECOND_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,axiom,
! [V0: $o,V1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ V0 @ V1 @ V2 ) ) )
= ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ V1 ) ) @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ V2 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2ECONS_2E0_2Emono_2Etyop_2Equote_2Eindex,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29 @ mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Equote_2Eindex ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) ) @ c_2Elist_2ECONS_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2ECONS_2E2_2Emono_2Etyop_2Equote_2Eindex,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( s @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Equote_2Eindex @ V0 @ V1 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( c_2Elist_2ECONS_2E2 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2ECons__monom_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ c_2Ecanonical_2ECons__monom_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2ECons__monom_2E3_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V0 @ V1 @ V2 ) ) )
= ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( c_2Ecanonical_2ECons__monom_2E3 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 @ V1 ) ) @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ V2 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2ECons__varlist_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ c_2Ecanonical_2ECons__varlist_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2ECons__varlist_2E2_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V0 @ V1 ) ) )
= ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( c_2Ecanonical_2ECons__varlist_2E2 @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 @ V0 ) ) @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2ENIL_2E0_2Emono_2Etyop_2Equote_2Eindex,axiom,
( ( s @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Equote_2Eindex ) )
= ( s @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ c_2Elist_2ENIL_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2ENil__monom_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ c_2Ecanonical_2ENil__monom_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2ESPconst_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29 @ mono_2Ec_2Ecanonical_2ESPconst_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) @ c_2Ecanonical_2ESPconst_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2ESPconst_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 @ ( mono_2Ec_2Ecanonical_2ESPconst_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( c_2Ecanonical_2ESPconst_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2ESPmult_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29_29 @ mono_2Ec_2Ecanonical_2ESPmult_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) ) @ c_2Ecanonical_2ESPmult_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2ESPmult_2E2_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 @ ( mono_2Ec_2Ecanonical_2ESPmult_2Emono_2Etyop_2Enum_2Enum @ V0 @ V1 ) ) )
= ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( c_2Ecanonical_2ESPmult_2E2 @ ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2ESPplus_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29_29 @ mono_2Ec_2Ecanonical_2ESPplus_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) ) @ c_2Ecanonical_2ESPplus_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2ESPplus_2E2_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 @ ( mono_2Ec_2Ecanonical_2ESPplus_2Emono_2Etyop_2Enum_2Enum @ V0 @ V1 ) ) )
= ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( c_2Ecanonical_2ESPplus_2E2 @ ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2ESPvar_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29 @ mono_2Ec_2Ecanonical_2ESPvar_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) ) @ c_2Ecanonical_2ESPvar_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2ESPvar_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex] :
( ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 @ ( mono_2Ec_2Ecanonical_2ESPvar_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( c_2Ecanonical_2ESPvar_2E1 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Ecanonical__sum__merge_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ mono_2Ec_2Ecanonical_2Ecanonical__sum__merge_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ c_2Ecanonical_2Ecanonical__sum__merge_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Ecanonical__sum__merge_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( mono_2Ec_2Ecanonical_2Ecanonical__sum__merge_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( c_2Ecanonical_2Ecanonical__sum__merge_2E1 @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Ecanonical__sum__prod_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ mono_2Ec_2Ecanonical_2Ecanonical__sum__prod_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ c_2Ecanonical_2Ecanonical__sum__prod_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Ecanonical__sum__prod_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( mono_2Ec_2Ecanonical_2Ecanonical__sum__prod_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( c_2Ecanonical_2Ecanonical__sum__prod_2E1 @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Ecanonical__sum__scalar_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ mono_2Ec_2Ecanonical_2Ecanonical__sum__scalar_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ c_2Ecanonical_2Ecanonical__sum__scalar_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Ecanonical__sum__scalar_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( mono_2Ec_2Ecanonical_2Ecanonical__sum__scalar_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( c_2Ecanonical_2Ecanonical__sum__scalar_2E1 @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Ecanonical__sum__scalar2_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ mono_2Ec_2Ecanonical_2Ecanonical__sum__scalar2_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ c_2Ecanonical_2Ecanonical__sum__scalar2_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Ecanonical__sum__scalar2_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( mono_2Ec_2Ecanonical_2Ecanonical__sum__scalar2_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( c_2Ecanonical_2Ecanonical__sum__scalar2_2E1 @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Ecanonical__sum__scalar3_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29 @ mono_2Ec_2Ecanonical_2Ecanonical__sum__scalar3_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) ) @ c_2Ecanonical_2Ecanonical__sum__scalar3_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Ecanonical__sum__scalar3_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ ( mono_2Ec_2Ecanonical_2Ecanonical__sum__scalar3_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( c_2Ecanonical_2Ecanonical__sum__scalar3_2E1 @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Ecanonical__sum__simplify_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ mono_2Ec_2Ecanonical_2Ecanonical__sum__simplify_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ c_2Ecanonical_2Ecanonical__sum__simplify_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Ecanonical__sum__simplify_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29 @ ( mono_2Ec_2Ecanonical_2Ecanonical__sum__simplify_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ ( c_2Ecanonical_2Ecanonical__sum__simplify_2E1 @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Eics__aux_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29_29 @ mono_2Ec_2Ecanonical_2Eics__aux_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) ) @ c_2Ecanonical_2Eics__aux_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Eics__aux_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( mono_2Ec_2Ecanonical_2Eics__aux_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) @ ( c_2Ecanonical_2Eics__aux_2E1 @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Einterp__cs_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29 @ mono_2Ec_2Ecanonical_2Einterp__cs_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) @ c_2Ecanonical_2Einterp__cs_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Einterp__cs_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ ( mono_2Ec_2Ecanonical_2Einterp__cs_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( c_2Ecanonical_2Einterp__cs_2E1 @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Einterp__m_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29_29 @ mono_2Ec_2Ecanonical_2Einterp__m_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) ) @ c_2Ecanonical_2Einterp__m_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Einterp__m_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( mono_2Ec_2Ecanonical_2Einterp__m_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ ( c_2Ecanonical_2Einterp__m_2E1 @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Einterp__sp_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29 @ mono_2Ec_2Ecanonical_2Einterp__sp_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) ) @ c_2Ecanonical_2Einterp__sp_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Einterp__sp_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ ( mono_2Ec_2Ecanonical_2Einterp__sp_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( c_2Ecanonical_2Einterp__sp_2E1 @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Einterp__vl_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29 @ mono_2Ec_2Ecanonical_2Einterp__vl_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ c_2Ecanonical_2Einterp__vl_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Einterp__vl_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29 @ ( mono_2Ec_2Ecanonical_2Einterp__vl_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) @ ( c_2Ecanonical_2Einterp__vl_2E1 @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Esemi__ring_2Eis__semi__ring_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Esemi__ring_2Eis__semi__ring_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ c_2Esemi__ring_2Eis__semi__ring_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Esemi__ring_2Eis__semi__ring_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Esemi__ring_2Eis__semi__ring_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Esemi__ring_2Eis__semi__ring_2E1 @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Eivl__aux_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29_29 @ mono_2Ec_2Ecanonical_2Eivl__aux_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) ) @ c_2Ecanonical_2Eivl__aux_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Eivl__aux_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29 @ ( mono_2Ec_2Ecanonical_2Eivl__aux_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Enum_2Enum ) ) ) @ ( c_2Ecanonical_2Eivl__aux_2E1 @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V0 ) ) ) ) ) ).
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(monoeq_2Emono_2Ec_2EternaryComparisons_2Elist__merge_2E0_2Emono_2Etyop_2Equote_2Eindex,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29_29 @ mono_2Ec_2EternaryComparisons_2Elist__merge_2Emono_2Etyop_2Equote_2Eindex ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) ) ) ) @ c_2EternaryComparisons_2Elist__merge_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EternaryComparisons_2Elist__merge_2E3_2Emono_2Etyop_2Equote_2Eindex,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > $o,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V2: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( s @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 @ ( mono_2Ec_2EternaryComparisons_2Elist__merge_2Emono_2Etyop_2Equote_2Eindex @ V0 @ V1 @ V2 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( c_2EternaryComparisons_2Elist__merge_2E3 @ ( 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_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(monoeq_2Emono_2Ec_2Ecanonical_2Emonom__insert_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29 @ mono_2Ec_2Ecanonical_2Emonom__insert_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) ) @ c_2Ecanonical_2Emonom__insert_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Emonom__insert_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ ( mono_2Ec_2Ecanonical_2Emonom__insert_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( c_2Ecanonical_2Emonom__insert_2E1 @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EternaryComparisons_2Eordering__CASE_2E0_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2EternaryComparisons_2Eordering @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29_29 @ mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2EternaryComparisons_2Eordering @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) ) @ c_2EternaryComparisons_2Eordering__CASE_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EternaryComparisons_2Eordering__CASE_2E4_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V3: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ V0 @ V1 @ V2 @ V3 ) ) )
= ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( c_2EternaryComparisons_2Eordering__CASE_2E4 @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ V0 ) ) @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ V1 ) ) @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ V2 ) ) @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ V3 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_29_29 @ mono_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) ) ) ) ) @ c_2Esemi__ring_2Erecordtype_2Esemi__ring_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2E4_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum,V2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V3: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ ( mono_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2Emono_2Etyop_2Enum_2Enum @ V0 @ V1 @ V2 @ V3 ) ) )
= ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring_2E4 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) @ ( 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 @ V2 ) ) @ ( 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 @ V3 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Espolynom__normalize_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ mono_2Ec_2Ecanonical_2Espolynom__normalize_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ c_2Ecanonical_2Espolynom__normalize_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Espolynom__normalize_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29 @ ( mono_2Ec_2Ecanonical_2Espolynom__normalize_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ ( c_2Ecanonical_2Espolynom__normalize_2E1 @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Espolynom__simplify_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ mono_2Ec_2Ecanonical_2Espolynom__simplify_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ c_2Ecanonical_2Espolynom__simplify_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Espolynom__simplify_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29 @ ( mono_2Ec_2Ecanonical_2Espolynom__simplify_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) @ ( c_2Ecanonical_2Espolynom__simplify_2E1 @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Evarlist__insert_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29 @ mono_2Ec_2Ecanonical_2Evarlist__insert_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) ) @ c_2Ecanonical_2Evarlist__insert_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2Evarlist__insert_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29 @ ( mono_2Ec_2Ecanonical_2Evarlist__insert_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Enum_2Enum ) ) ) @ ( c_2Ecanonical_2Evarlist__insert_2E1 @ ( s @ ( tyop_2Esemi__ring_2Esemi__ring @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Equote_2Evarmap__find_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29 @ mono_2Ec_2Equote_2Evarmap__find_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) ) @ c_2Equote_2Evarmap__find_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Equote_2Evarmap__find_2E2_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Equote_2Evarmap__find_2Emono_2Etyop_2Enum_2Enum @ V0 @ V1 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( c_2Equote_2Evarmap__find_2E2 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V0 ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
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_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0: $o > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V1: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex > $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_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_20mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V1: mono_2Etyop_2Equote_2Eindex] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Equote_2Eindex] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,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_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,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_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,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_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,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_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_2Elist_2Elist_28tyop_2Equote_2Eindex_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,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_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum,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_2Ebool,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_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_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0: mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > $o,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Esemi__ring_2Esemi__ring_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,V1: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(thm_2EnumRing_2Enum__interp__sp__def,axiom,
( mono_2Ec_2EnumRing_2Enum__interp__sp
= ( mono_2Ec_2Ecanonical_2Einterp__sp_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ mono_2Ec_2Earithmetic_2E_2B @ mono_2Ec_2Earithmetic_2E_2A ) ) ) ).
thf(thm_2EnumRing_2Enum__spolynom__simplify__def,axiom,
( mono_2Ec_2EnumRing_2Enum__spolynom__simplify
= ( mono_2Ec_2Ecanonical_2Espolynom__simplify_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ mono_2Ec_2Earithmetic_2E_2B @ mono_2Ec_2Earithmetic_2E_2A ) ) ) ).
thf(thm_2EnumRing_2Enum__spolynom__normalize__def,axiom,
( mono_2Ec_2EnumRing_2Enum__spolynom__normalize
= ( mono_2Ec_2Ecanonical_2Espolynom__normalize_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ mono_2Ec_2Earithmetic_2E_2B @ mono_2Ec_2Earithmetic_2E_2A ) ) ) ).
thf(thm_2EnumRing_2Enum__interp__cs__def,axiom,
( mono_2Ec_2EnumRing_2Enum__interp__cs
= ( mono_2Ec_2Ecanonical_2Einterp__cs_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ mono_2Ec_2Earithmetic_2E_2B @ mono_2Ec_2Earithmetic_2E_2A ) ) ) ).
thf(thm_2EnumRing_2Enum__ics__aux__def,axiom,
( mono_2Ec_2EnumRing_2Enum__ics__aux
= ( mono_2Ec_2Ecanonical_2Eics__aux_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ mono_2Ec_2Earithmetic_2E_2B @ mono_2Ec_2Earithmetic_2E_2A ) ) ) ).
thf(thm_2EnumRing_2Enum__interp__m__def,axiom,
( mono_2Ec_2EnumRing_2Enum__interp__m
= ( mono_2Ec_2Ecanonical_2Einterp__m_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ mono_2Ec_2Earithmetic_2E_2B @ mono_2Ec_2Earithmetic_2E_2A ) ) ) ).
thf(thm_2EnumRing_2Enum__interp__vl__def,axiom,
( mono_2Ec_2EnumRing_2Enum__interp__vl
= ( mono_2Ec_2Ecanonical_2Einterp__vl_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ mono_2Ec_2Earithmetic_2E_2B @ mono_2Ec_2Earithmetic_2E_2A ) ) ) ).
thf(thm_2EnumRing_2Enum__ivl__aux__def,axiom,
( mono_2Ec_2EnumRing_2Enum__ivl__aux
= ( mono_2Ec_2Ecanonical_2Eivl__aux_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ mono_2Ec_2Earithmetic_2E_2B @ mono_2Ec_2Earithmetic_2E_2A ) ) ) ).
thf(thm_2EnumRing_2Enum__canonical__sum__simplify__def,axiom,
( mono_2Ec_2EnumRing_2Enum__canonical__sum__simplify
= ( mono_2Ec_2Ecanonical_2Ecanonical__sum__simplify_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ mono_2Ec_2Earithmetic_2E_2B @ mono_2Ec_2Earithmetic_2E_2A ) ) ) ).
thf(thm_2EnumRing_2Enum__canonical__sum__prod__def,axiom,
( mono_2Ec_2EnumRing_2Enum__canonical__sum__prod
= ( mono_2Ec_2Ecanonical_2Ecanonical__sum__prod_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ mono_2Ec_2Earithmetic_2E_2B @ mono_2Ec_2Earithmetic_2E_2A ) ) ) ).
thf(thm_2EnumRing_2Enum__canonical__sum__scalar3__def,axiom,
( mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar3
= ( mono_2Ec_2Ecanonical_2Ecanonical__sum__scalar3_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ mono_2Ec_2Earithmetic_2E_2B @ mono_2Ec_2Earithmetic_2E_2A ) ) ) ).
thf(thm_2EnumRing_2Enum__canonical__sum__scalar2__def,axiom,
( mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar2
= ( mono_2Ec_2Ecanonical_2Ecanonical__sum__scalar2_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ mono_2Ec_2Earithmetic_2E_2B @ mono_2Ec_2Earithmetic_2E_2A ) ) ) ).
thf(thm_2EnumRing_2Enum__canonical__sum__scalar__def,axiom,
( mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar
= ( mono_2Ec_2Ecanonical_2Ecanonical__sum__scalar_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ mono_2Ec_2Earithmetic_2E_2B @ mono_2Ec_2Earithmetic_2E_2A ) ) ) ).
thf(thm_2EnumRing_2Enum__varlist__insert__def,axiom,
( mono_2Ec_2EnumRing_2Enum__varlist__insert
= ( mono_2Ec_2Ecanonical_2Evarlist__insert_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ mono_2Ec_2Earithmetic_2E_2B @ mono_2Ec_2Earithmetic_2E_2A ) ) ) ).
thf(thm_2EnumRing_2Enum__monom__insert__def,axiom,
( mono_2Ec_2EnumRing_2Enum__monom__insert
= ( mono_2Ec_2Ecanonical_2Emonom__insert_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ mono_2Ec_2Earithmetic_2E_2B @ mono_2Ec_2Earithmetic_2E_2A ) ) ) ).
thf(thm_2EnumRing_2Enum__canonical__sum__merge__def,axiom,
( mono_2Ec_2EnumRing_2Enum__canonical__sum__merge
= ( mono_2Ec_2Ecanonical_2Ecanonical__sum__merge_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ mono_2Ec_2Earithmetic_2E_2B @ mono_2Ec_2Earithmetic_2E_2A ) ) ) ).
thf(thm_2EnumRing_2Enum__semi__ring,axiom,
mono_2Ec_2Esemi__ring_2Eis__semi__ring_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ mono_2Ec_2Earithmetic_2E_2B @ mono_2Ec_2Earithmetic_2E_2A ) ).
thf(thm_2EnumRing_2Enum__ring__thms,axiom,
! [A_27a: d,F2: mono_2Etyop_2Enum_2Enum > $o,F1: mono_2Etyop_2Enum_2Enum > $o,F0_2E0: u] :
( ! [V105c: mono_2Etyop_2Enum_2Enum] :
( ( F2 @ V105c )
<=> ( V105c
= ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) )
=> ( ! [V105c: mono_2Etyop_2Enum_2Enum] :
( ( F1 @ V105c )
<=> ( V105c = mono_2Ec_2Enum_2E0 ) )
=> ( ! [V24x_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 @ V24x_2E0 ) ) ) )
= mono_2Ec_2Ebool_2ET )
=> ( ( mono_2Ec_2Esemi__ring_2Eis__semi__ring_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Esemi__ring_2Erecordtype_2Esemi__ring_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ mono_2Ec_2Earithmetic_2E_2B @ mono_2Ec_2Earithmetic_2E_2A ) )
& ! [V0vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29,V1p: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2EnumRing_2Enum__interp__sp @ V0vm @ V1p )
= ( mono_2Ec_2EnumRing_2Enum__interp__cs @ V0vm @ ( mono_2Ec_2EnumRing_2Enum__spolynom__simplify @ V1p ) ) )
& ! [V2vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29,V3c: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EnumRing_2Enum__interp__sp @ V2vm @ ( mono_2Ec_2Ecanonical_2ESPconst_2Emono_2Etyop_2Enum_2Enum @ V3c ) )
= V3c )
& ! [V4vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29,V5i: mono_2Etyop_2Equote_2Eindex] :
( ( mono_2Ec_2EnumRing_2Enum__interp__sp @ V4vm @ ( mono_2Ec_2Ecanonical_2ESPvar_2Emono_2Etyop_2Enum_2Enum @ V5i ) )
= ( mono_2Ec_2Equote_2Evarmap__find_2Emono_2Etyop_2Enum_2Enum @ V5i @ V4vm ) )
& ! [V6vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29,V7p1: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,V8p2: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2EnumRing_2Enum__interp__sp @ V6vm @ ( mono_2Ec_2Ecanonical_2ESPplus_2Emono_2Etyop_2Enum_2Enum @ V7p1 @ V8p2 ) )
= ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2EnumRing_2Enum__interp__sp @ V6vm @ V7p1 ) @ ( mono_2Ec_2EnumRing_2Enum__interp__sp @ V6vm @ V8p2 ) ) )
& ! [V9vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29,V10p1: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,V11p2: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2EnumRing_2Enum__interp__sp @ V9vm @ ( mono_2Ec_2Ecanonical_2ESPmult_2Emono_2Etyop_2Enum_2Enum @ V10p1 @ V11p2 ) )
= ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2EnumRing_2Enum__interp__sp @ V9vm @ V10p1 ) @ ( mono_2Ec_2EnumRing_2Enum__interp__sp @ V9vm @ V11p2 ) ) )
& ! [V12x_2E0: u,V13v2_2E0: u,V14v1_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 @ V12x_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V14v1_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V13v2_2E0 ) ) ) ) )
= ( s @ A_27a @ V12x_2E0 ) )
& ! [V15x_2E0: u,V16v2_2E0: u,V17v1_2E0: u,V18i1: 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 @ V18i1 ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( c_2Equote_2ENode__vm_2E3 @ ( s @ A_27a @ V15x_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V17v1_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V16v2_2E0 ) ) ) ) )
= ( s @ A_27a @ ( c_2Equote_2Evarmap__find_2E2 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V18i1 ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V16v2_2E0 ) ) ) )
& ! [V19x_2E0: u,V20v2_2E0: u,V21v1_2E0: u,V22i1: 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 @ V22i1 ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( c_2Equote_2ENode__vm_2E3 @ ( s @ A_27a @ V19x_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V21v1_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V20v2_2E0 ) ) ) ) )
= ( s @ A_27a @ ( c_2Equote_2Evarmap__find_2E2 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V22i1 ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V21v1_2E0 ) ) ) )
& ! [V23i: mono_2Etyop_2Equote_2Eindex] :
( ( s @ A_27a @ ( c_2Equote_2Evarmap__find_2E2 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V23i ) ) @ ( 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 ) ) ) )
& ! [V25t2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V26t1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V27l2: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V28l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V29c2: mono_2Etyop_2Enum_2Enum,V30c1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EnumRing_2Enum__canonical__sum__merge @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V30c1 @ V28l1 @ V26t1 ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V29c2 @ V27l2 @ V25t2 ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ ( mono_2Ec_2EternaryComparisons_2Elist__compare_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__compare @ V28l1 @ V27l2 ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V30c1 @ V28l1 @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__merge @ V26t1 @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V29c2 @ V27l2 @ V25t2 ) ) ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2B @ V30c1 @ V29c2 ) @ V28l1 @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__merge @ V26t1 @ V25t2 ) ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V29c2 @ V27l2 @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__merge @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V30c1 @ V28l1 @ V26t1 ) @ V25t2 ) ) ) )
& ! [V31t2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V32t1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V33l2: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V34l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V35c1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EnumRing_2Enum__canonical__sum__merge @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V35c1 @ V34l1 @ V32t1 ) @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V33l2 @ V31t2 ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ ( mono_2Ec_2EternaryComparisons_2Elist__compare_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__compare @ V34l1 @ V33l2 ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V35c1 @ V34l1 @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__merge @ V32t1 @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V33l2 @ V31t2 ) ) ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2B @ V35c1 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ V34l1 @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__merge @ V32t1 @ V31t2 ) ) @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V33l2 @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__merge @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V35c1 @ V34l1 @ V32t1 ) @ V31t2 ) ) ) )
& ! [V36t2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V37t1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V38l2: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V39l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V40c2: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EnumRing_2Enum__canonical__sum__merge @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V39l1 @ V37t1 ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V40c2 @ V38l2 @ V36t2 ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ ( mono_2Ec_2EternaryComparisons_2Elist__compare_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__compare @ V39l1 @ V38l2 ) @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V39l1 @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__merge @ V37t1 @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V40c2 @ V38l2 @ V36t2 ) ) ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ V40c2 ) @ V39l1 @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__merge @ V37t1 @ V36t2 ) ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V40c2 @ V38l2 @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__merge @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V39l1 @ V37t1 ) @ V36t2 ) ) ) )
& ! [V41t2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V42t1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V43l2: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V44l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( mono_2Ec_2EnumRing_2Enum__canonical__sum__merge @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V44l1 @ V42t1 ) @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V43l2 @ V41t2 ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ ( mono_2Ec_2EternaryComparisons_2Elist__compare_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__compare @ V44l1 @ V43l2 ) @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V44l1 @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__merge @ V42t1 @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V43l2 @ V41t2 ) ) ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ V44l1 @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__merge @ V42t1 @ V41t2 ) ) @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V43l2 @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__merge @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V44l1 @ V42t1 ) @ V41t2 ) ) ) )
& ! [V45s1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2EnumRing_2Enum__canonical__sum__merge @ V45s1 @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Enum_2Enum )
= V45s1 )
& ! [V46v6: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V47v5: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V48v4: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EnumRing_2Enum__canonical__sum__merge @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V48v4 @ V47v5 @ V46v6 ) )
= ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V48v4 @ V47v5 @ V46v6 ) )
& ! [V49v8: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V50v7: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( mono_2Ec_2EnumRing_2Enum__canonical__sum__merge @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V50v7 @ V49v8 ) )
= ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V50v7 @ V49v8 ) )
& ! [V51t2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V52l2: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V53l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V54c2: mono_2Etyop_2Enum_2Enum,V55c1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EnumRing_2Enum__monom__insert @ V55c1 @ V53l1 @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V54c2 @ V52l2 @ V51t2 ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ ( mono_2Ec_2EternaryComparisons_2Elist__compare_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__compare @ V53l1 @ V52l2 ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V55c1 @ V53l1 @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V54c2 @ V52l2 @ V51t2 ) ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2B @ V55c1 @ V54c2 ) @ V53l1 @ V51t2 ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V54c2 @ V52l2 @ ( mono_2Ec_2EnumRing_2Enum__monom__insert @ V55c1 @ V53l1 @ V51t2 ) ) ) )
& ! [V56t2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V57l2: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V58l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V59c1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EnumRing_2Enum__monom__insert @ V59c1 @ V58l1 @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V57l2 @ V56t2 ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ ( mono_2Ec_2EternaryComparisons_2Elist__compare_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__compare @ V58l1 @ V57l2 ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V59c1 @ V58l1 @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V57l2 @ V56t2 ) ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2B @ V59c1 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ V58l1 @ V56t2 ) @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V57l2 @ ( mono_2Ec_2EnumRing_2Enum__monom__insert @ V59c1 @ V58l1 @ V56t2 ) ) ) )
& ! [V60l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V61c1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EnumRing_2Enum__monom__insert @ V61c1 @ V60l1 @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Enum_2Enum )
= ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V61c1 @ V60l1 @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Enum_2Enum ) )
& ! [V62t2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V63l2: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V64l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V65c2: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EnumRing_2Enum__varlist__insert @ V64l1 @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V65c2 @ V63l2 @ V62t2 ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ ( mono_2Ec_2EternaryComparisons_2Elist__compare_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__compare @ V64l1 @ V63l2 ) @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V64l1 @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V65c2 @ V63l2 @ V62t2 ) ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ V65c2 ) @ V64l1 @ V62t2 ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V65c2 @ V63l2 @ ( mono_2Ec_2EnumRing_2Enum__varlist__insert @ V64l1 @ V62t2 ) ) ) )
& ! [V66t2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V67l2: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V68l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( mono_2Ec_2EnumRing_2Enum__varlist__insert @ V68l1 @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V67l2 @ V66t2 ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ ( mono_2Ec_2EternaryComparisons_2Elist__compare_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__compare @ V68l1 @ V67l2 ) @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V68l1 @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V67l2 @ V66t2 ) ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ V68l1 @ V66t2 ) @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V67l2 @ ( mono_2Ec_2EnumRing_2Enum__varlist__insert @ V68l1 @ V66t2 ) ) ) )
& ! [V69l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( mono_2Ec_2EnumRing_2Enum__varlist__insert @ V69l1 @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Enum_2Enum )
= ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V69l1 @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Enum_2Enum ) )
& ! [V70c0: mono_2Etyop_2Enum_2Enum,V71c: mono_2Etyop_2Enum_2Enum,V72l: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V73t: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar @ V70c0 @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V71c @ V72l @ V73t ) )
= ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2A @ V70c0 @ V71c ) @ V72l @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar @ V70c0 @ V73t ) ) )
& ! [V74c0: mono_2Etyop_2Enum_2Enum,V75l: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V76t: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar @ V74c0 @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V75l @ V76t ) )
= ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V74c0 @ V75l @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar @ V74c0 @ V76t ) ) )
& ! [V77c0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar @ V77c0 @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Enum_2Enum )
= mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Enum_2Enum )
& ! [V78l0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V79c: mono_2Etyop_2Enum_2Enum,V80l: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V81t: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar2 @ V78l0 @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V79c @ V80l @ V81t ) )
= ( mono_2Ec_2EnumRing_2Enum__monom__insert @ V79c @ ( mono_2Ec_2EternaryComparisons_2Elist__merge_2Emono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__lt @ V78l0 @ V80l ) @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar2 @ V78l0 @ V81t ) ) )
& ! [V82l0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V83l: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V84t: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar2 @ V82l0 @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V83l @ V84t ) )
= ( mono_2Ec_2EnumRing_2Enum__varlist__insert @ ( mono_2Ec_2EternaryComparisons_2Elist__merge_2Emono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__lt @ V82l0 @ V83l ) @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar2 @ V82l0 @ V84t ) ) )
& ! [V85l0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar2 @ V85l0 @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Enum_2Enum )
= mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Enum_2Enum )
& ! [V86c0: mono_2Etyop_2Enum_2Enum,V87l0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V88c: mono_2Etyop_2Enum_2Enum,V89l: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V90t: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar3 @ V86c0 @ V87l0 @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V88c @ V89l @ V90t ) )
= ( mono_2Ec_2EnumRing_2Enum__monom__insert @ ( mono_2Ec_2Earithmetic_2E_2A @ V86c0 @ V88c ) @ ( mono_2Ec_2EternaryComparisons_2Elist__merge_2Emono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__lt @ V87l0 @ V89l ) @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar3 @ V86c0 @ V87l0 @ V90t ) ) )
& ! [V91c0: mono_2Etyop_2Enum_2Enum,V92l0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V93l: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V94t: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar3 @ V91c0 @ V92l0 @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V93l @ V94t ) )
= ( mono_2Ec_2EnumRing_2Enum__monom__insert @ V91c0 @ ( mono_2Ec_2EternaryComparisons_2Elist__merge_2Emono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__lt @ V92l0 @ V93l ) @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar3 @ V91c0 @ V92l0 @ V94t ) ) )
& ! [V95c0: mono_2Etyop_2Enum_2Enum,V96l0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar3 @ V95c0 @ V96l0 @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Enum_2Enum )
= mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Enum_2Enum )
& ! [V97c1: mono_2Etyop_2Enum_2Enum,V98l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V99t1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V100s2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2EnumRing_2Enum__canonical__sum__prod @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V97c1 @ V98l1 @ V99t1 ) @ V100s2 )
= ( mono_2Ec_2EnumRing_2Enum__canonical__sum__merge @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar3 @ V97c1 @ V98l1 @ V100s2 ) @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__prod @ V99t1 @ V100s2 ) ) )
& ! [V101l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V102t1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29,V103s2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2EnumRing_2Enum__canonical__sum__prod @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V101l1 @ V102t1 ) @ V103s2 )
= ( mono_2Ec_2EnumRing_2Enum__canonical__sum__merge @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__scalar2 @ V101l1 @ V103s2 ) @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__prod @ V102t1 @ V103s2 ) ) )
& ! [V104s2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2EnumRing_2Enum__canonical__sum__prod @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Enum_2Enum @ V104s2 )
= mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Enum_2Enum )
& ! [V105c: mono_2Etyop_2Enum_2Enum,V106l: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V107t: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2EnumRing_2Enum__canonical__sum__simplify @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V105c @ V106l @ V107t ) )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ ( F1 @ V105c ) @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__simplify @ V107t ) @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29 @ ( F2 @ V105c ) @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V106l @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__simplify @ V107t ) ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V105c @ V106l @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__simplify @ V107t ) ) ) ) )
& ! [V108l: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V109t: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2EnumRing_2Enum__canonical__sum__simplify @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V108l @ V109t ) )
= ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V108l @ ( mono_2Ec_2EnumRing_2Enum__canonical__sum__simplify @ V109t ) ) )
& ( ( mono_2Ec_2EnumRing_2Enum__canonical__sum__simplify @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Enum_2Enum )
= mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Enum_2Enum )
& ! [V110vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29,V111x: mono_2Etyop_2Equote_2Eindex] :
( ( mono_2Ec_2EnumRing_2Enum__ivl__aux @ V110vm @ V111x @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Equote_2Eindex )
= ( mono_2Ec_2Equote_2Evarmap__find_2Emono_2Etyop_2Enum_2Enum @ V111x @ V110vm ) )
& ! [V112vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29,V113x: mono_2Etyop_2Equote_2Eindex,V114x_27: mono_2Etyop_2Equote_2Eindex,V115t_27: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( mono_2Ec_2EnumRing_2Enum__ivl__aux @ V112vm @ V113x @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Equote_2Eindex @ V114x_27 @ V115t_27 ) )
= ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Equote_2Evarmap__find_2Emono_2Etyop_2Enum_2Enum @ V113x @ V112vm ) @ ( mono_2Ec_2EnumRing_2Enum__ivl__aux @ V112vm @ V114x_27 @ V115t_27 ) ) )
& ! [V116vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2EnumRing_2Enum__interp__vl @ V116vm @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Equote_2Eindex )
= ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
& ! [V117vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29,V118x: mono_2Etyop_2Equote_2Eindex,V119t: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( mono_2Ec_2EnumRing_2Enum__interp__vl @ V117vm @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Equote_2Eindex @ V118x @ V119t ) )
= ( mono_2Ec_2EnumRing_2Enum__ivl__aux @ V117vm @ V118x @ V119t ) )
& ! [V120vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29,V121c: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EnumRing_2Enum__interp__m @ V120vm @ V121c @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Equote_2Eindex )
= V121c )
& ! [V122vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29,V123c: mono_2Etyop_2Enum_2Enum,V124x: mono_2Etyop_2Equote_2Eindex,V125t: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( mono_2Ec_2EnumRing_2Enum__interp__m @ V122vm @ V123c @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Equote_2Eindex @ V124x @ V125t ) )
= ( mono_2Ec_2Earithmetic_2E_2A @ V123c @ ( mono_2Ec_2EnumRing_2Enum__ivl__aux @ V122vm @ V124x @ V125t ) ) )
& ! [V126vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29,V127a: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EnumRing_2Enum__ics__aux @ V126vm @ V127a @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Enum_2Enum )
= V127a )
& ! [V128vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29,V129a: mono_2Etyop_2Enum_2Enum,V130l: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V131t: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2EnumRing_2Enum__ics__aux @ V128vm @ V129a @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V130l @ V131t ) )
= ( mono_2Ec_2Earithmetic_2E_2B @ V129a @ ( mono_2Ec_2EnumRing_2Enum__ics__aux @ V128vm @ ( mono_2Ec_2EnumRing_2Enum__interp__vl @ V128vm @ V130l ) @ V131t ) ) )
& ! [V132vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29,V133a: mono_2Etyop_2Enum_2Enum,V134c: mono_2Etyop_2Enum_2Enum,V135l: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V136t: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2EnumRing_2Enum__ics__aux @ V132vm @ V133a @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V134c @ V135l @ V136t ) )
= ( mono_2Ec_2Earithmetic_2E_2B @ V133a @ ( mono_2Ec_2EnumRing_2Enum__ics__aux @ V132vm @ ( mono_2Ec_2EnumRing_2Enum__interp__m @ V132vm @ V134c @ V135l ) @ V136t ) ) )
& ! [V137vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2EnumRing_2Enum__interp__cs @ V137vm @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Enum_2Enum )
= mono_2Ec_2Enum_2E0 )
& ! [V138vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29,V139l: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V140t: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2EnumRing_2Enum__interp__cs @ V138vm @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ V139l @ V140t ) )
= ( mono_2Ec_2EnumRing_2Enum__ics__aux @ V138vm @ ( mono_2Ec_2EnumRing_2Enum__interp__vl @ V138vm @ V139l ) @ V140t ) )
& ! [V141vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Enum_2Enum_29,V142c: mono_2Etyop_2Enum_2Enum,V143l: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V144t: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2EnumRing_2Enum__interp__cs @ V141vm @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V142c @ V143l @ V144t ) )
= ( mono_2Ec_2EnumRing_2Enum__ics__aux @ V141vm @ ( mono_2Ec_2EnumRing_2Enum__interp__m @ V141vm @ V142c @ V143l ) @ V144t ) )
& ! [V145i: mono_2Etyop_2Equote_2Eindex] :
( ( mono_2Ec_2EnumRing_2Enum__spolynom__normalize @ ( mono_2Ec_2Ecanonical_2ESPvar_2Emono_2Etyop_2Enum_2Enum @ V145i ) )
= ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Equote_2Eindex @ V145i @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Equote_2Eindex ) @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Enum_2Enum ) )
& ! [V146c: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2EnumRing_2Enum__spolynom__normalize @ ( mono_2Ec_2Ecanonical_2ESPconst_2Emono_2Etyop_2Enum_2Enum @ V146c ) )
= ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Enum_2Enum @ V146c @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Enum_2Enum ) )
& ! [V147l: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,V148r: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2EnumRing_2Enum__spolynom__normalize @ ( mono_2Ec_2Ecanonical_2ESPplus_2Emono_2Etyop_2Enum_2Enum @ V147l @ V148r ) )
= ( mono_2Ec_2EnumRing_2Enum__canonical__sum__merge @ ( mono_2Ec_2EnumRing_2Enum__spolynom__normalize @ V147l ) @ ( mono_2Ec_2EnumRing_2Enum__spolynom__normalize @ V148r ) ) )
& ! [V149l: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29,V150r: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2EnumRing_2Enum__spolynom__normalize @ ( mono_2Ec_2Ecanonical_2ESPmult_2Emono_2Etyop_2Enum_2Enum @ V149l @ V150r ) )
= ( mono_2Ec_2EnumRing_2Enum__canonical__sum__prod @ ( mono_2Ec_2EnumRing_2Enum__spolynom__normalize @ V149l ) @ ( mono_2Ec_2EnumRing_2Enum__spolynom__normalize @ V150r ) ) )
& ! [V151x: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Enum_2Enum_29] :
( ( mono_2Ec_2EnumRing_2Enum__spolynom__simplify @ V151x )
= ( mono_2Ec_2EnumRing_2Enum__canonical__sum__simplify @ ( mono_2Ec_2EnumRing_2Enum__spolynom__normalize @ V151x ) ) ) ) ) ) ) ).
thf(thm_2EnumRing_2Enum__rewrites,axiom,
! [V0n: mono_2Etyop_2Enum_2Enum] :
( ! [V1n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2B @ mono_2Ec_2Enum_2E0 @ V1n )
= V1n )
& ! [V2n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2B @ V2n @ mono_2Ec_2Enum_2E0 )
= V2n )
& ! [V3n: mono_2Etyop_2Enum_2Enum,V4m: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ V3n ) @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ V4m ) )
= ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Enumeral_2EiZ @ ( mono_2Ec_2Earithmetic_2E_2B @ V3n @ V4m ) ) ) )
& ! [V5n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2A @ mono_2Ec_2Enum_2E0 @ V5n )
= mono_2Ec_2Enum_2E0 )
& ! [V6n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2A @ V6n @ mono_2Ec_2Enum_2E0 )
= mono_2Ec_2Enum_2E0 )
& ! [V7n: mono_2Etyop_2Enum_2Enum,V8m: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ V7n ) @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ V8m ) )
= ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2E_2A @ V7n @ V8m ) ) )
& ! [V9n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2D @ mono_2Ec_2Enum_2E0 @ V9n )
= mono_2Ec_2Enum_2E0 )
& ! [V10n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2D @ V10n @ mono_2Ec_2Enum_2E0 )
= V10n )
& ! [V11n: mono_2Etyop_2Enum_2Enum,V12m: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2D @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ V11n ) @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ V12m ) )
= ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2E_2D @ V11n @ V12m ) ) )
& ! [V13n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EEXP @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V13n ) ) )
= mono_2Ec_2Enum_2E0 )
& ! [V14n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EEXP @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V14n ) ) )
= mono_2Ec_2Enum_2E0 )
& ! [V15n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EEXP @ V15n @ mono_2Ec_2Enum_2E0 )
= ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
& ! [V16n: mono_2Etyop_2Enum_2Enum,V17m: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EEXP @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ V16n ) @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ V17m ) )
= ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EEXP @ V16n @ V17m ) ) )
& ( ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 )
= ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
& ! [V18n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ V18n ) )
= ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Enum_2ESUC @ V18n ) ) )
& ( ( mono_2Ec_2Eprim__rec_2EPRE @ mono_2Ec_2Enum_2E0 )
= mono_2Ec_2Enum_2E0 )
& ! [V19n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Eprim__rec_2EPRE @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ V19n ) )
= ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Eprim__rec_2EPRE @ V19n ) ) )
& ! [V20n: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2ENUMERAL @ V20n )
= mono_2Ec_2Enum_2E0 )
<=> ( V20n = mono_2Ec_2Earithmetic_2EZERO ) )
& ! [V21n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Enum_2E0
= ( mono_2Ec_2Earithmetic_2ENUMERAL @ V21n ) )
<=> ( V21n = mono_2Ec_2Earithmetic_2EZERO ) )
& ! [V22n: mono_2Etyop_2Enum_2Enum,V23m: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2ENUMERAL @ V22n )
= ( mono_2Ec_2Earithmetic_2ENUMERAL @ V23m ) )
<=> ( V22n = V23m ) )
& ! [V24n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Eprim__rec_2E_3C @ V24n @ mono_2Ec_2Enum_2E0 )
= mono_2Ec_2Ebool_2EF )
& ! [V25n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ V25n ) )
= ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Earithmetic_2EZERO @ V25n ) )
& ! [V26n: mono_2Etyop_2Enum_2Enum,V27m: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Eprim__rec_2E_3C @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ V26n ) @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ V27m ) )
= ( mono_2Ec_2Eprim__rec_2E_3C @ V26n @ V27m ) )
& ! [V28n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3E @ mono_2Ec_2Enum_2E0 @ V28n )
= mono_2Ec_2Ebool_2EF )
& ! [V29n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3E @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ V29n ) @ mono_2Ec_2Enum_2E0 )
= ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Earithmetic_2EZERO @ V29n ) )
& ! [V30n: mono_2Etyop_2Enum_2Enum,V31m: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3E @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ V30n ) @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ V31m ) )
= ( mono_2Ec_2Eprim__rec_2E_3C @ V31m @ V30n ) )
& ! [V32n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ mono_2Ec_2Enum_2E0 @ V32n )
= mono_2Ec_2Ebool_2ET )
& ! [V33n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ V33n ) @ mono_2Ec_2Enum_2E0 )
= ( mono_2Ec_2Earithmetic_2E_3C_3D @ V33n @ mono_2Ec_2Earithmetic_2EZERO ) )
& ! [V34n: mono_2Etyop_2Enum_2Enum,V35m: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ V34n ) @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ V35m ) )
= ( mono_2Ec_2Earithmetic_2E_3C_3D @ V34n @ V35m ) )
& ! [V36n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3E_3D @ V36n @ mono_2Ec_2Enum_2E0 )
= mono_2Ec_2Ebool_2ET )
& ! [V37n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3E_3D @ mono_2Ec_2Enum_2E0 @ V37n )
<=> ( V37n = mono_2Ec_2Enum_2E0 ) )
& ! [V38n: mono_2Etyop_2Enum_2Enum,V39m: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3E_3D @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ V38n ) @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ V39m ) )
= ( mono_2Ec_2Earithmetic_2E_3C_3D @ V39m @ V38n ) )
& ! [V40n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EODD @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ V40n ) )
= ( mono_2Ec_2Earithmetic_2EODD @ V40n ) )
& ! [V41n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EEVEN @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ V41n ) )
= ( mono_2Ec_2Earithmetic_2EEVEN @ V41n ) )
& ( (~) @ ( mono_2Ec_2Earithmetic_2EODD @ mono_2Ec_2Enum_2E0 ) )
& ( mono_2Ec_2Earithmetic_2EEVEN @ mono_2Ec_2Enum_2E0 )
& ! [V42n: mono_2Etyop_2Enum_2Enum,V43m: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2EZERO
= ( mono_2Ec_2Earithmetic_2EBIT1 @ V42n ) )
<=> mono_2Ec_2Ebool_2EF )
& ( ( ( mono_2Ec_2Earithmetic_2EBIT1 @ V42n )
= mono_2Ec_2Earithmetic_2EZERO )
<=> mono_2Ec_2Ebool_2EF )
& ( ( mono_2Ec_2Earithmetic_2EZERO
= ( mono_2Ec_2Earithmetic_2EBIT2 @ V42n ) )
<=> mono_2Ec_2Ebool_2EF )
& ( ( ( mono_2Ec_2Earithmetic_2EBIT2 @ V42n )
= mono_2Ec_2Earithmetic_2EZERO )
<=> mono_2Ec_2Ebool_2EF )
& ( ( ( mono_2Ec_2Earithmetic_2EBIT1 @ V42n )
= ( mono_2Ec_2Earithmetic_2EBIT2 @ V43m ) )
<=> mono_2Ec_2Ebool_2EF )
& ( ( ( mono_2Ec_2Earithmetic_2EBIT2 @ V42n )
= ( mono_2Ec_2Earithmetic_2EBIT1 @ V43m ) )
<=> mono_2Ec_2Ebool_2EF )
& ( ( ( mono_2Ec_2Earithmetic_2EBIT1 @ V42n )
= ( mono_2Ec_2Earithmetic_2EBIT1 @ V43m ) )
<=> ( V42n = V43m ) )
& ( ( ( mono_2Ec_2Earithmetic_2EBIT2 @ V42n )
= ( mono_2Ec_2Earithmetic_2EBIT2 @ V43m ) )
<=> ( V42n = V43m ) ) )
& ( ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Earithmetic_2EZERO )
= ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) )
& ! [V44n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V44n ) )
= ( mono_2Ec_2Earithmetic_2EBIT2 @ V44n ) )
& ! [V45n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V45n ) )
= ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Enum_2ESUC @ V45n ) ) )
& ( ( mono_2Ec_2Enumeral_2EiiSUC @ mono_2Ec_2Earithmetic_2EZERO )
= ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) )
& ( ( mono_2Ec_2Enumeral_2EiiSUC @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V0n ) )
= ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Enum_2ESUC @ V0n ) ) )
& ( ( mono_2Ec_2Enumeral_2EiiSUC @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V0n ) )
= ( mono_2Ec_2Earithmetic_2EBIT2 @ ( mono_2Ec_2Enum_2ESUC @ V0n ) ) )
& ! [V46n: mono_2Etyop_2Enum_2Enum,V47m: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Enumeral_2EiZ @ ( mono_2Ec_2Earithmetic_2E_2B @ mono_2Ec_2Earithmetic_2EZERO @ V46n ) )
= V46n )
& ( ( mono_2Ec_2Enumeral_2EiZ @ ( mono_2Ec_2Earithmetic_2E_2B @ V46n @ mono_2Ec_2Earithmetic_2EZERO ) )
= V46n )
& ( ( mono_2Ec_2Enumeral_2EiZ @ ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V46n ) @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V47m ) ) )
= ( mono_2Ec_2Earithmetic_2EBIT2 @ ( mono_2Ec_2Enumeral_2EiZ @ ( mono_2Ec_2Earithmetic_2E_2B @ V46n @ V47m ) ) ) )
& ( ( mono_2Ec_2Enumeral_2EiZ @ ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V46n ) @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V47m ) ) )
= ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V46n @ V47m ) ) ) )
& ( ( mono_2Ec_2Enumeral_2EiZ @ ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V46n ) @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V47m ) ) )
= ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V46n @ V47m ) ) ) )
& ( ( mono_2Ec_2Enumeral_2EiZ @ ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V46n ) @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V47m ) ) )
= ( mono_2Ec_2Earithmetic_2EBIT2 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V46n @ V47m ) ) ) )
& ( ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ mono_2Ec_2Earithmetic_2EZERO @ V46n ) )
= ( mono_2Ec_2Enum_2ESUC @ V46n ) )
& ( ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V46n @ mono_2Ec_2Earithmetic_2EZERO ) )
= ( mono_2Ec_2Enum_2ESUC @ V46n ) )
& ( ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V46n ) @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V47m ) ) )
= ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V46n @ V47m ) ) ) )
& ( ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V46n ) @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V47m ) ) )
= ( mono_2Ec_2Earithmetic_2EBIT2 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V46n @ V47m ) ) ) )
& ( ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V46n ) @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V47m ) ) )
= ( mono_2Ec_2Earithmetic_2EBIT2 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V46n @ V47m ) ) ) )
& ( ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V46n ) @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V47m ) ) )
= ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Enumeral_2EiiSUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V46n @ V47m ) ) ) )
& ( ( mono_2Ec_2Enumeral_2EiiSUC @ ( mono_2Ec_2Earithmetic_2E_2B @ mono_2Ec_2Earithmetic_2EZERO @ V46n ) )
= ( mono_2Ec_2Enumeral_2EiiSUC @ V46n ) )
& ( ( mono_2Ec_2Enumeral_2EiiSUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V46n @ mono_2Ec_2Earithmetic_2EZERO ) )
= ( mono_2Ec_2Enumeral_2EiiSUC @ V46n ) )
& ( ( mono_2Ec_2Enumeral_2EiiSUC @ ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V46n ) @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V47m ) ) )
= ( mono_2Ec_2Earithmetic_2EBIT2 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V46n @ V47m ) ) ) )
& ( ( mono_2Ec_2Enumeral_2EiiSUC @ ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V46n ) @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V47m ) ) )
= ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Enumeral_2EiiSUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V46n @ V47m ) ) ) )
& ( ( mono_2Ec_2Enumeral_2EiiSUC @ ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V46n ) @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V47m ) ) )
= ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Enumeral_2EiiSUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V46n @ V47m ) ) ) )
& ( ( mono_2Ec_2Enumeral_2EiiSUC @ ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V46n ) @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V47m ) ) )
= ( mono_2Ec_2Earithmetic_2EBIT2 @ ( mono_2Ec_2Enumeral_2EiiSUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V46n @ V47m ) ) ) ) )
& ! [V48n: mono_2Etyop_2Enum_2Enum,V49m: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2E_2A @ mono_2Ec_2Earithmetic_2EZERO @ V48n )
= mono_2Ec_2Earithmetic_2EZERO )
& ( ( mono_2Ec_2Earithmetic_2E_2A @ V48n @ mono_2Ec_2Earithmetic_2EZERO )
= mono_2Ec_2Earithmetic_2EZERO )
& ( ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V48n ) @ V49m )
= ( mono_2Ec_2Enumeral_2EiZ @ ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Enumeral_2EiDUB @ ( mono_2Ec_2Earithmetic_2E_2A @ V48n @ V49m ) ) @ V49m ) ) )
& ( ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V48n ) @ V49m )
= ( mono_2Ec_2Enumeral_2EiDUB @ ( mono_2Ec_2Enumeral_2EiZ @ ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2E_2A @ V48n @ V49m ) @ V49m ) ) ) ) )
& ! [V50n: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Enumeral_2EiDUB @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V50n ) )
= ( mono_2Ec_2Earithmetic_2EBIT2 @ ( mono_2Ec_2Enumeral_2EiDUB @ V50n ) ) )
& ( ( mono_2Ec_2Enumeral_2EiDUB @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V50n ) )
= ( mono_2Ec_2Earithmetic_2EBIT2 @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V50n ) ) )
& ( ( mono_2Ec_2Enumeral_2EiDUB @ mono_2Ec_2Earithmetic_2EZERO )
= mono_2Ec_2Earithmetic_2EZERO ) )
& ( ( mono_2Ec_2Earithmetic_2EZERO = mono_2Ec_2Earithmetic_2EZERO )
<=> mono_2Ec_2Ebool_2ET )
& ( ( mono_2Ec_2Enum_2E0 = mono_2Ec_2Enum_2E0 )
<=> mono_2Ec_2Ebool_2ET ) ) ).
%------------------------------------------------------------------------------