ITP001 Axioms: ITP116^4.ax
%------------------------------------------------------------------------------
% File : ITP116^4 : 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 : integerRing.ax [Gau19]
% : HL4116^4.ax [TPAP]
% Status : Satisfiable
% Syntax : Number of formulae : 920 ( 401 unt; 510 typ; 0 def)
% Number of atoms : 629 ( 527 equ; 3 cnn)
% Maximal formula atoms : 60 ( 0 avg)
% Number of connectives : 8370 ( 3 ~; 1 |; 126 &;8210 @)
% ( 25 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 65 ( 3 avg;8210 nst)
% Number of types : 14 ( 13 usr)
% Number of type conns : 1790 (1790 >; 0 *; 0 +; 0 <<)
% Number of symbols : 499 ( 497 usr; 108 con; 0-6 aty)
% Number of variables : 717 ( 0 ^ 716 !; 1 ?; 717 :)
% 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_2Einteger_2Eint_29,type,
mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29: $tType ).
thf(mono_2Etyop_2Equote_2Eindex,type,
mono_2Etyop_2Equote_2Eindex: $tType ).
thf(mono_2Etyop_2Einteger_2Eint,type,
mono_2Etyop_2Einteger_2Eint: $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_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,type,
mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29: $tType ).
thf(mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29,type,
mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29: $tType ).
thf(mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29,type,
mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29: $tType ).
thf(mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29,type,
mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_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_2Einteger_2Eint,type,
tyop_2Einteger_2Eint: 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_2Ering_2Ering,type,
tyop_2Ering_2Ering: d > d ).
thf(tyop_2EringNorm_2Epolynom,type,
tyop_2EringNorm_2Epolynom: 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_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_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_2EringNorm_2EPconst_2E0,type,
c_2EringNorm_2EPconst_2E0: u ).
thf(c_2EringNorm_2EPconst_2E1,type,
c_2EringNorm_2EPconst_2E1: du > u ).
thf(c_2EringNorm_2EPmult_2E0,type,
c_2EringNorm_2EPmult_2E0: u ).
thf(c_2EringNorm_2EPmult_2E2,type,
c_2EringNorm_2EPmult_2E2: du > du > u ).
thf(c_2EringNorm_2EPopp_2E0,type,
c_2EringNorm_2EPopp_2E0: u ).
thf(c_2EringNorm_2EPopp_2E1,type,
c_2EringNorm_2EPopp_2E1: du > u ).
thf(c_2EringNorm_2EPplus_2E0,type,
c_2EringNorm_2EPplus_2E0: u ).
thf(c_2EringNorm_2EPplus_2E2,type,
c_2EringNorm_2EPplus_2E2: du > du > u ).
thf(c_2EringNorm_2EPvar_2E0,type,
c_2EringNorm_2EPvar_2E0: u ).
thf(c_2EringNorm_2EPvar_2E1,type,
c_2EringNorm_2EPvar_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_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_2Enumeral_2EiDUB_2E0,type,
c_2Enumeral_2EiDUB_2E0: u ).
thf(c_2Enumeral_2EiDUB_2E1,type,
c_2Enumeral_2EiDUB_2E1: du > u ).
thf(c_2Enumeral_2EiSUB_2E0,type,
c_2Enumeral_2EiSUB_2E0: u ).
thf(c_2Enumeral_2EiSUB_2E3,type,
c_2Enumeral_2EiSUB_2E3: du > du > 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_2Einteger_2Eint__0_2E0,type,
c_2Einteger_2Eint__0_2E0: u ).
thf(c_2Einteger_2Eint__1_2E0,type,
c_2Einteger_2Eint__1_2E0: u ).
thf(c_2Einteger_2Eint__add_2E0,type,
c_2Einteger_2Eint__add_2E0: u ).
thf(c_2Einteger_2Eint__add_2E2,type,
c_2Einteger_2Eint__add_2E2: du > du > u ).
thf(c_2EintegerRing_2Eint__interp__p_2E0,type,
c_2EintegerRing_2Eint__interp__p_2E0: u ).
thf(c_2EintegerRing_2Eint__interp__p_2E2,type,
c_2EintegerRing_2Eint__interp__p_2E2: du > du > u ).
thf(c_2Einteger_2Eint__mul_2E0,type,
c_2Einteger_2Eint__mul_2E0: u ).
thf(c_2Einteger_2Eint__mul_2E2,type,
c_2Einteger_2Eint__mul_2E2: du > du > u ).
thf(c_2Einteger_2Eint__neg_2E0,type,
c_2Einteger_2Eint__neg_2E0: u ).
thf(c_2Einteger_2Eint__neg_2E1,type,
c_2Einteger_2Eint__neg_2E1: du > u ).
thf(c_2Einteger_2Eint__of__num_2E0,type,
c_2Einteger_2Eint__of__num_2E0: u ).
thf(c_2Einteger_2Eint__of__num_2E1,type,
c_2Einteger_2Eint__of__num_2E1: du > u ).
thf(c_2EintegerRing_2Eint__polynom__normalize_2E0,type,
c_2EintegerRing_2Eint__polynom__normalize_2E0: u ).
thf(c_2EintegerRing_2Eint__polynom__normalize_2E1,type,
c_2EintegerRing_2Eint__polynom__normalize_2E1: du > u ).
thf(c_2EintegerRing_2Eint__polynom__simplify_2E0,type,
c_2EintegerRing_2Eint__polynom__simplify_2E0: u ).
thf(c_2EintegerRing_2Eint__polynom__simplify_2E1,type,
c_2EintegerRing_2Eint__polynom__simplify_2E1: du > u ).
thf(c_2EintegerRing_2Eint__r__canonical__sum__merge_2E0,type,
c_2EintegerRing_2Eint__r__canonical__sum__merge_2E0: u ).
thf(c_2EintegerRing_2Eint__r__canonical__sum__merge_2E2,type,
c_2EintegerRing_2Eint__r__canonical__sum__merge_2E2: du > du > u ).
thf(c_2EintegerRing_2Eint__r__canonical__sum__prod_2E0,type,
c_2EintegerRing_2Eint__r__canonical__sum__prod_2E0: u ).
thf(c_2EintegerRing_2Eint__r__canonical__sum__prod_2E2,type,
c_2EintegerRing_2Eint__r__canonical__sum__prod_2E2: du > du > u ).
thf(c_2EintegerRing_2Eint__r__canonical__sum__scalar_2E0,type,
c_2EintegerRing_2Eint__r__canonical__sum__scalar_2E0: u ).
thf(c_2EintegerRing_2Eint__r__canonical__sum__scalar_2E2,type,
c_2EintegerRing_2Eint__r__canonical__sum__scalar_2E2: du > du > u ).
thf(c_2EintegerRing_2Eint__r__canonical__sum__scalar2_2E0,type,
c_2EintegerRing_2Eint__r__canonical__sum__scalar2_2E0: u ).
thf(c_2EintegerRing_2Eint__r__canonical__sum__scalar2_2E2,type,
c_2EintegerRing_2Eint__r__canonical__sum__scalar2_2E2: du > du > u ).
thf(c_2EintegerRing_2Eint__r__canonical__sum__scalar3_2E0,type,
c_2EintegerRing_2Eint__r__canonical__sum__scalar3_2E0: u ).
thf(c_2EintegerRing_2Eint__r__canonical__sum__scalar3_2E3,type,
c_2EintegerRing_2Eint__r__canonical__sum__scalar3_2E3: du > du > du > u ).
thf(c_2EintegerRing_2Eint__r__canonical__sum__simplify_2E0,type,
c_2EintegerRing_2Eint__r__canonical__sum__simplify_2E0: u ).
thf(c_2EintegerRing_2Eint__r__canonical__sum__simplify_2E1,type,
c_2EintegerRing_2Eint__r__canonical__sum__simplify_2E1: du > u ).
thf(c_2EintegerRing_2Eint__r__ics__aux_2E0,type,
c_2EintegerRing_2Eint__r__ics__aux_2E0: u ).
thf(c_2EintegerRing_2Eint__r__ics__aux_2E3,type,
c_2EintegerRing_2Eint__r__ics__aux_2E3: du > du > du > u ).
thf(c_2EintegerRing_2Eint__r__interp__cs_2E0,type,
c_2EintegerRing_2Eint__r__interp__cs_2E0: u ).
thf(c_2EintegerRing_2Eint__r__interp__cs_2E2,type,
c_2EintegerRing_2Eint__r__interp__cs_2E2: du > du > u ).
thf(c_2EintegerRing_2Eint__r__interp__m_2E0,type,
c_2EintegerRing_2Eint__r__interp__m_2E0: u ).
thf(c_2EintegerRing_2Eint__r__interp__m_2E3,type,
c_2EintegerRing_2Eint__r__interp__m_2E3: du > du > du > u ).
thf(c_2EintegerRing_2Eint__r__interp__sp_2E0,type,
c_2EintegerRing_2Eint__r__interp__sp_2E0: u ).
thf(c_2EintegerRing_2Eint__r__interp__vl_2E0,type,
c_2EintegerRing_2Eint__r__interp__vl_2E0: u ).
thf(c_2EintegerRing_2Eint__r__interp__vl_2E2,type,
c_2EintegerRing_2Eint__r__interp__vl_2E2: du > du > u ).
thf(c_2EintegerRing_2Eint__r__ivl__aux_2E0,type,
c_2EintegerRing_2Eint__r__ivl__aux_2E0: u ).
thf(c_2EintegerRing_2Eint__r__ivl__aux_2E3,type,
c_2EintegerRing_2Eint__r__ivl__aux_2E3: du > du > du > u ).
thf(c_2EintegerRing_2Eint__r__monom__insert_2E0,type,
c_2EintegerRing_2Eint__r__monom__insert_2E0: u ).
thf(c_2EintegerRing_2Eint__r__monom__insert_2E3,type,
c_2EintegerRing_2Eint__r__monom__insert_2E3: du > du > du > u ).
thf(c_2EintegerRing_2Eint__r__spolynom__normalize_2E0,type,
c_2EintegerRing_2Eint__r__spolynom__normalize_2E0: u ).
thf(c_2EintegerRing_2Eint__r__spolynom__simplify_2E0,type,
c_2EintegerRing_2Eint__r__spolynom__simplify_2E0: u ).
thf(c_2EintegerRing_2Eint__r__varlist__insert_2E0,type,
c_2EintegerRing_2Eint__r__varlist__insert_2E0: u ).
thf(c_2EintegerRing_2Eint__r__varlist__insert_2E2,type,
c_2EintegerRing_2Eint__r__varlist__insert_2E2: du > du > u ).
thf(c_2EringNorm_2Einterp__p_2E0,type,
c_2EringNorm_2Einterp__p_2E0: u ).
thf(c_2EringNorm_2Einterp__p_2E1,type,
c_2EringNorm_2Einterp__p_2E1: du > u ).
thf(c_2Ering_2Eis__ring_2E0,type,
c_2Ering_2Eis__ring_2E0: u ).
thf(c_2Ering_2Eis__ring_2E1,type,
c_2Ering_2Eis__ring_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_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_2EringNorm_2Epolynom__normalize_2E0,type,
c_2EringNorm_2Epolynom__normalize_2E0: u ).
thf(c_2EringNorm_2Epolynom__normalize_2E1,type,
c_2EringNorm_2Epolynom__normalize_2E1: du > u ).
thf(c_2EringNorm_2Epolynom__simplify_2E0,type,
c_2EringNorm_2Epolynom__simplify_2E0: u ).
thf(c_2EringNorm_2Epolynom__simplify_2E1,type,
c_2EringNorm_2Epolynom__simplify_2E1: du > u ).
thf(c_2EringNorm_2Er__canonical__sum__merge_2E0,type,
c_2EringNorm_2Er__canonical__sum__merge_2E0: u ).
thf(c_2EringNorm_2Er__canonical__sum__merge_2E1,type,
c_2EringNorm_2Er__canonical__sum__merge_2E1: du > u ).
thf(c_2EringNorm_2Er__canonical__sum__prod_2E0,type,
c_2EringNorm_2Er__canonical__sum__prod_2E0: u ).
thf(c_2EringNorm_2Er__canonical__sum__prod_2E1,type,
c_2EringNorm_2Er__canonical__sum__prod_2E1: du > u ).
thf(c_2EringNorm_2Er__canonical__sum__scalar_2E0,type,
c_2EringNorm_2Er__canonical__sum__scalar_2E0: u ).
thf(c_2EringNorm_2Er__canonical__sum__scalar_2E1,type,
c_2EringNorm_2Er__canonical__sum__scalar_2E1: du > u ).
thf(c_2EringNorm_2Er__canonical__sum__scalar2_2E0,type,
c_2EringNorm_2Er__canonical__sum__scalar2_2E0: u ).
thf(c_2EringNorm_2Er__canonical__sum__scalar2_2E1,type,
c_2EringNorm_2Er__canonical__sum__scalar2_2E1: du > u ).
thf(c_2EringNorm_2Er__canonical__sum__scalar3_2E0,type,
c_2EringNorm_2Er__canonical__sum__scalar3_2E0: u ).
thf(c_2EringNorm_2Er__canonical__sum__scalar3_2E1,type,
c_2EringNorm_2Er__canonical__sum__scalar3_2E1: du > u ).
thf(c_2EringNorm_2Er__canonical__sum__simplify_2E0,type,
c_2EringNorm_2Er__canonical__sum__simplify_2E0: u ).
thf(c_2EringNorm_2Er__canonical__sum__simplify_2E1,type,
c_2EringNorm_2Er__canonical__sum__simplify_2E1: du > u ).
thf(c_2EringNorm_2Er__ics__aux_2E0,type,
c_2EringNorm_2Er__ics__aux_2E0: u ).
thf(c_2EringNorm_2Er__ics__aux_2E1,type,
c_2EringNorm_2Er__ics__aux_2E1: du > u ).
thf(c_2EringNorm_2Er__interp__cs_2E0,type,
c_2EringNorm_2Er__interp__cs_2E0: u ).
thf(c_2EringNorm_2Er__interp__cs_2E1,type,
c_2EringNorm_2Er__interp__cs_2E1: du > u ).
thf(c_2EringNorm_2Er__interp__m_2E0,type,
c_2EringNorm_2Er__interp__m_2E0: u ).
thf(c_2EringNorm_2Er__interp__m_2E1,type,
c_2EringNorm_2Er__interp__m_2E1: du > u ).
thf(c_2EringNorm_2Er__interp__sp_2E0,type,
c_2EringNorm_2Er__interp__sp_2E0: u ).
thf(c_2EringNorm_2Er__interp__sp_2E1,type,
c_2EringNorm_2Er__interp__sp_2E1: du > u ).
thf(c_2EringNorm_2Er__interp__vl_2E0,type,
c_2EringNorm_2Er__interp__vl_2E0: u ).
thf(c_2EringNorm_2Er__interp__vl_2E1,type,
c_2EringNorm_2Er__interp__vl_2E1: du > u ).
thf(c_2EringNorm_2Er__ivl__aux_2E0,type,
c_2EringNorm_2Er__ivl__aux_2E0: u ).
thf(c_2EringNorm_2Er__ivl__aux_2E1,type,
c_2EringNorm_2Er__ivl__aux_2E1: du > u ).
thf(c_2EringNorm_2Er__monom__insert_2E0,type,
c_2EringNorm_2Er__monom__insert_2E0: u ).
thf(c_2EringNorm_2Er__monom__insert_2E1,type,
c_2EringNorm_2Er__monom__insert_2E1: du > u ).
thf(c_2EringNorm_2Er__spolynom__normalize_2E0,type,
c_2EringNorm_2Er__spolynom__normalize_2E0: u ).
thf(c_2EringNorm_2Er__spolynom__normalize_2E1,type,
c_2EringNorm_2Er__spolynom__normalize_2E1: du > u ).
thf(c_2EringNorm_2Er__spolynom__simplify_2E0,type,
c_2EringNorm_2Er__spolynom__simplify_2E0: u ).
thf(c_2EringNorm_2Er__spolynom__simplify_2E1,type,
c_2EringNorm_2Er__spolynom__simplify_2E1: du > u ).
thf(c_2EringNorm_2Er__varlist__insert_2E0,type,
c_2EringNorm_2Er__varlist__insert_2E0: u ).
thf(c_2EringNorm_2Er__varlist__insert_2E1,type,
c_2EringNorm_2Er__varlist__insert_2E1: du > u ).
thf(c_2Ering_2Erecordtype_2Ering_2E0,type,
c_2Ering_2Erecordtype_2Ering_2E0: u ).
thf(c_2Ering_2Erecordtype_2Ering_2E5,type,
c_2Ering_2Erecordtype_2Ering_2E5: du > du > du > du > du > u ).
thf(c_2Equote_2Evarmap__find_2E0,type,
c_2Equote_2Evarmap__find_2E0: u ).
thf(c_2Equote_2Evarmap__find_2E2,type,
c_2Equote_2Evarmap__find_2E2: du > du > u ).
thf(c_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_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29: ( $o > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > $o > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: ( $o > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > $o > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: ( $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,type,
mono_2Eapp_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29: ( mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Einteger_2Eint,type,
mono_2Eapp_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Einteger_2Eint: ( mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
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_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29: ( ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29: ( ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_20mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_20mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29: ( ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ).
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_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
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_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 ) > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29,type,
mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29: ( mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 ) > mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,type,
mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29,type,
mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint,type,
mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,type,
mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_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_2Einteger_2Eint,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_20mono_2Etyop_2Einteger_2Eint: ( mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ).
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_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_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Einteger_2Eint,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Einteger_2Eint: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint ).
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_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29: ( mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,type,
mono_2Eapp_2Emono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29: ( mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29,type,
mono_2Eapp_2Emono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 ) > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Einteger_2Eint,type,
mono_2Eapp_2Emono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Einteger_2Eint: ( mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Eapp_2Emono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,type,
mono_2Eapp_2Emono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29: ( mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 ) > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > $o ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Einteger_2Eint,type,
mono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Einteger_2Eint: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
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_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_2Einteger_2Eint_29,type,
mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29: $o > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Einteger_2Eint: $o > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum: $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
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_2Einteger_2Eint,type,
mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
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_2Einteger_2Eint,type,
mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EringNorm_2EPconst_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2EringNorm_2EPconst_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EringNorm_2EPmult_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2EringNorm_2EPmult_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EringNorm_2EPopp_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2EringNorm_2EPopp_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EringNorm_2EPplus_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2EringNorm_2EPplus_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EringNorm_2EPvar_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2EringNorm_2EPvar_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2Equote_2ERight__idx,type,
mono_2Ec_2Equote_2ERight__idx: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Eindex ).
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_2Enumeral_2EiDUB,type,
mono_2Ec_2Enumeral_2EiDUB: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Enumeral_2EiSUB,type,
mono_2Ec_2Enumeral_2EiSUB: $o > mono_2Etyop_2Enum_2Enum > 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_2Einteger_2Eint__0,type,
mono_2Ec_2Einteger_2Eint__0: mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Ec_2Einteger_2Eint__1,type,
mono_2Ec_2Einteger_2Eint__1: mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Ec_2Einteger_2Eint__add,type,
mono_2Ec_2Einteger_2Eint__add: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Ec_2EintegerRing_2Eint__interp__p,type,
mono_2Ec_2EintegerRing_2Eint__interp__p: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Ec_2Einteger_2Eint__mul,type,
mono_2Ec_2Einteger_2Eint__mul: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Ec_2Einteger_2Eint__neg,type,
mono_2Ec_2Einteger_2Eint__neg: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Ec_2Einteger_2Eint__of__num,type,
mono_2Ec_2Einteger_2Eint__of__num: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Ec_2EintegerRing_2Eint__polynom__normalize,type,
mono_2Ec_2EintegerRing_2Eint__polynom__normalize: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EintegerRing_2Eint__polynom__simplify,type,
mono_2Ec_2EintegerRing_2Eint__polynom__simplify: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge,type,
mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__prod,type,
mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__prod: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar,type,
mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar2,type,
mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar2: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar3,type,
mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar3: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__simplify,type,
mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__simplify: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EintegerRing_2Eint__r__ics__aux,type,
mono_2Ec_2EintegerRing_2Eint__r__ics__aux: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Ec_2EintegerRing_2Eint__r__interp__cs,type,
mono_2Ec_2EintegerRing_2Eint__r__interp__cs: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Ec_2EintegerRing_2Eint__r__interp__m,type,
mono_2Ec_2EintegerRing_2Eint__r__interp__m: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Ec_2EintegerRing_2Eint__r__interp__sp,type,
mono_2Ec_2EintegerRing_2Eint__r__interp__sp: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Ec_2EintegerRing_2Eint__r__interp__vl,type,
mono_2Ec_2EintegerRing_2Eint__r__interp__vl: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Ec_2EintegerRing_2Eint__r__ivl__aux,type,
mono_2Ec_2EintegerRing_2Eint__r__ivl__aux: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Ec_2EintegerRing_2Eint__r__monom__insert,type,
mono_2Ec_2EintegerRing_2Eint__r__monom__insert: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EintegerRing_2Eint__r__spolynom__normalize,type,
mono_2Ec_2EintegerRing_2Eint__r__spolynom__normalize: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EintegerRing_2Eint__r__spolynom__simplify,type,
mono_2Ec_2EintegerRing_2Eint__r__spolynom__simplify: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EintegerRing_2Eint__r__varlist__insert,type,
mono_2Ec_2EintegerRing_2Eint__r__varlist__insert: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EringNorm_2Einterp__p_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2EringNorm_2Einterp__p_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Ec_2Ering_2Eis__ring_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2Ering_2Eis__ring_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > $o ).
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_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,type,
mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29: mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EringNorm_2Epolynom__normalize_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2EringNorm_2Epolynom__normalize_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EringNorm_2Epolynom__simplify_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2EringNorm_2Epolynom__simplify_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EringNorm_2Er__canonical__sum__merge_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2EringNorm_2Er__canonical__sum__merge_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EringNorm_2Er__canonical__sum__prod_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2EringNorm_2Er__canonical__sum__prod_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EringNorm_2Er__canonical__sum__scalar_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2EringNorm_2Er__canonical__sum__scalar_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EringNorm_2Er__canonical__sum__scalar2_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2EringNorm_2Er__canonical__sum__scalar2_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EringNorm_2Er__canonical__sum__scalar3_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2EringNorm_2Er__canonical__sum__scalar3_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EringNorm_2Er__canonical__sum__simplify_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2EringNorm_2Er__canonical__sum__simplify_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EringNorm_2Er__ics__aux_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2EringNorm_2Er__ics__aux_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Ec_2EringNorm_2Er__interp__cs_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2EringNorm_2Er__interp__cs_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Ec_2EringNorm_2Er__interp__m_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2EringNorm_2Er__interp__m_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Ec_2EringNorm_2Er__interp__sp_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2EringNorm_2Er__interp__sp_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Ec_2EringNorm_2Er__interp__vl_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2EringNorm_2Er__interp__vl_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Ec_2EringNorm_2Er__ivl__aux_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2EringNorm_2Er__ivl__aux_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ).
thf(mono_2Ec_2EringNorm_2Er__monom__insert_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2EringNorm_2Er__monom__insert_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EringNorm_2Er__spolynom__normalize_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2EringNorm_2Er__spolynom__normalize_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EringNorm_2Er__spolynom__simplify_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2EringNorm_2Er__spolynom__simplify_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2EringNorm_2Er__varlist__insert_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2EringNorm_2Er__varlist__insert_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 ).
thf(mono_2Ec_2Equote_2Evarmap__find_2Emono_2Etyop_2Einteger_2Eint,type,
mono_2Ec_2Equote_2Evarmap__find_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
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_2Einteger_2Eint_29,type,
i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_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_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29: ( $o > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29: ( $o > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29: ( $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29: ( mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > 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_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29: ( ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29: ( ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29: ( ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_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_2Einteger_2Eint_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ) > 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_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > 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_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Einteger_2Eint > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29: ( mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_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_2Einteger_2Eint_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ) > 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_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_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint ) > 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_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29: ( mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(i_mono_2Etyop_2Equote_2Eindex,type,
i_mono_2Etyop_2Equote_2Eindex: mono_2Etyop_2Equote_2Eindex > u ).
thf(i_mono_2Etyop_2Einteger_2Eint,type,
i_mono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Einteger_2Eint > 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_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,type,
i_mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > u ).
thf(i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29,type,
i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > u ).
thf(i_mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29,type,
i_mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > u ).
thf(j_mono_2Etyop_2Emin_2Ebool,type,
j_mono_2Etyop_2Emin_2Ebool: du > $o ).
thf(j_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,type,
j_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29: du > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_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_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29: du > $o > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29: du > $o > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29: du > $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29: du > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29: du > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29: du > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29: du > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
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_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29: du > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29: du > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29: du > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_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_2Einteger_2Eint_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29: du > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ).
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_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29: du > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
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_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29: du > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Einteger_2Eint > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29: du > mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_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_2Einteger_2Eint_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ).
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_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_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint ).
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_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29: du > mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29: du > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29_29: du > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29: du > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29: du > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29: du > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29: du > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29: du > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29: du > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29: du > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29: du > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29: du > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29: du > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29_29: du > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29_29: du > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29_29: du > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29: du > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29: du > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29: du > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29: du > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29: du > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29: du > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29: du > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29: du > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29: du > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29: du > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29: du > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29: du > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint ).
thf(j_mono_2Etyop_2Equote_2Eindex,type,
j_mono_2Etyop_2Equote_2Eindex: du > mono_2Etyop_2Equote_2Eindex ).
thf(j_mono_2Etyop_2Einteger_2Eint,type,
j_mono_2Etyop_2Einteger_2Eint: du > mono_2Etyop_2Einteger_2Eint ).
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_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,type,
j_mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29: du > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29,type,
j_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29: du > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 ).
thf(j_mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29,type,
j_mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29: du > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_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_2Einteger_2Eint_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ ( j_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ 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_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) @ 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_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) @ 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_2Einteger_2Eint_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) @ 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_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ 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_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_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_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ 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_2Einteger_2Eint_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) @ 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_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_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Einteger_2Eint ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Einteger_2Eint ) @ 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_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2EternaryComparisons_2Eordering @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EternaryComparisons_2Eordering @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2EternaryComparisons_2Eordering @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) @ 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_2Einteger_2Eint,axiom,
! [V0_2E0: u] :
( ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( j_mono_2Etyop_2Einteger_2Eint @ ( s @ tyop_2Einteger_2Eint @ V0_2E0 ) ) ) )
= ( s @ tyop_2Einteger_2Eint @ 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_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 @ ( j_mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ ( j_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 @ ( j_mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ 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_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_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_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0: $o > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: $o > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29,axiom,
! [V0: $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_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_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_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_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_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_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_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_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_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_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_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_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_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_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_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_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_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29,axiom,
! [V0: mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EternaryComparisons_2Eordering @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_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_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint] :
( ( j_mono_2Etyop_2Einteger_2Eint @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ 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_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29] :
( ( j_mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_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_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: $o > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: $o] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0: $o > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint,V1: $o] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: $o] :
( ( 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 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_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_2Einteger_2Eint_29_20mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ V0 ) ) @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Einteger_2Eint @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29 @ V0 ) ) @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_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_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_20mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29,axiom,
! [V0: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint] :
( ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Equote_2Eindex] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_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_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_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Equote_2Eindex] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_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_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Equote_2Eindex] :
( ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29 @ V0 ) ) @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > $o,V1: mono_2Etyop_2Einteger_2Eint] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Einteger_2Eint] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ V0 ) ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Einteger_2Eint] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ V0 ) ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Einteger_2Eint] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29 @ V0 ) ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Einteger_2Eint] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29_29 @ V0 ) ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Einteger_2Eint] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ V0 ) ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Einteger_2Eint] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Einteger_2Eint] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29 @ V0 ) ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Einteger_2Eint] :
( ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Einteger_2Eint @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ V0 ) ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Einteger_2Eint] :
( ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29 @ V0 ) ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_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_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Einteger_2Eint @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_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_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_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Einteger_2Eint @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_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_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0: mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EternaryComparisons_2Eordering @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29 @ V0 ) ) @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ V0 ) ) @ ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29] :
( ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Einteger_2Eint @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29 @ V0 ) ) @ ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29 @ V0 ) ) @ ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > $o,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ V0 ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29 @ V0 ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ V0 ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29] :
( ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Einteger_2Eint @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29 @ V0 ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ c_2Ebool_2ECOND_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,axiom,
! [V0: $o,V1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ V0 @ V1 @ V2 ) ) )
= ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ V1 ) ) @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ V2 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ c_2Ebool_2ECOND_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: $o,V1: mono_2Etyop_2Einteger_2Eint,V2: mono_2Etyop_2Einteger_2Eint] :
( ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Einteger_2Eint @ V0 @ V1 @ V2 ) ) )
= ( s @ tyop_2Einteger_2Eint @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V1 ) ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V2 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29 @ mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ c_2Ebool_2ECOND_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: $o,V1: mono_2Etyop_2Enum_2Enum,V2: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ V0 @ V1 @ V2 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ 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_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ c_2Ecanonical_2ECons__monom_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2ECons__monom_2E3_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V0 @ V1 @ V2 ) ) )
= ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( c_2Ecanonical_2ECons__monom_2E3 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 @ V1 ) ) @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ V2 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2ECons__varlist_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ c_2Ecanonical_2ECons__varlist_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ecanonical_2ECons__varlist_2E2_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V0 @ V1 ) ) )
= ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( 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_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_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_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ c_2Ecanonical_2ENil__monom_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2EPconst_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29 @ mono_2Ec_2EringNorm_2EPconst_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) @ c_2EringNorm_2EPconst_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2EPconst_2E1_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint] :
( ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 @ ( mono_2Ec_2EringNorm_2EPconst_2Emono_2Etyop_2Einteger_2Eint @ V0 ) ) )
= ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( c_2EringNorm_2EPconst_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2EPmult_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29_29 @ mono_2Ec_2EringNorm_2EPmult_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) ) @ c_2EringNorm_2EPmult_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2EPmult_2E2_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 @ ( mono_2Ec_2EringNorm_2EPmult_2Emono_2Etyop_2Einteger_2Eint @ V0 @ V1 ) ) )
= ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( c_2EringNorm_2EPmult_2E2 @ ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 @ V0 ) ) @ ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2EPopp_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29 @ mono_2Ec_2EringNorm_2EPopp_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) @ c_2EringNorm_2EPopp_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2EPopp_2E1_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 @ ( mono_2Ec_2EringNorm_2EPopp_2Emono_2Etyop_2Einteger_2Eint @ V0 ) ) )
= ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( c_2EringNorm_2EPopp_2E1 @ ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2EPplus_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29_29 @ mono_2Ec_2EringNorm_2EPplus_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) ) @ c_2EringNorm_2EPplus_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2EPplus_2E2_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 @ ( mono_2Ec_2EringNorm_2EPplus_2Emono_2Etyop_2Einteger_2Eint @ V0 @ V1 ) ) )
= ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( c_2EringNorm_2EPplus_2E2 @ ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 @ V0 ) ) @ ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2EPvar_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29 @ mono_2Ec_2EringNorm_2EPvar_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) ) @ c_2EringNorm_2EPvar_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2EPvar_2E1_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex] :
( ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 @ ( mono_2Ec_2EringNorm_2EPvar_2Emono_2Etyop_2Einteger_2Eint @ V0 ) ) )
= ( s @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( c_2EringNorm_2EPvar_2E1 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Einterp__p_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ mono_2Ec_2EringNorm_2Einterp__p_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ c_2EringNorm_2Einterp__p_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Einterp__p_2E1_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ ( mono_2Ec_2EringNorm_2Einterp__p_2Emono_2Etyop_2Einteger_2Eint @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( c_2EringNorm_2Einterp__p_2E1 @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ering_2Eis__ring_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Ering_2Eis__ring_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ tyop_2Emin_2Ebool ) @ c_2Ering_2Eis__ring_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ering_2Eis__ring_2E1_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Ering_2Eis__ring_2Emono_2Etyop_2Einteger_2Eint @ V0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Ering_2Eis__ring_2E1 @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_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_2EternaryComparisons_2Eordering__CASE_2E0_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2EternaryComparisons_2Eordering @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EternaryComparisons_2Eordering_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29 @ mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2EternaryComparisons_2Eordering @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) ) @ c_2EternaryComparisons_2Eordering__CASE_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EternaryComparisons_2Eordering__CASE_2E4_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2EternaryComparisons_2Eordering,V1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V3: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ V0 @ V1 @ V2 @ V3 ) ) )
= ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( c_2EternaryComparisons_2Eordering__CASE_2E4 @ ( s @ tyop_2EternaryComparisons_2Eordering @ ( i_mono_2Etyop_2EternaryComparisons_2Eordering @ V0 ) ) @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ V1 ) ) @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ V2 ) ) @ ( s @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ V3 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Epolynom__normalize_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ mono_2Ec_2EringNorm_2Epolynom__normalize_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ c_2EringNorm_2Epolynom__normalize_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Epolynom__normalize_2E1_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ ( mono_2Ec_2EringNorm_2Epolynom__normalize_2Emono_2Etyop_2Einteger_2Eint @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( c_2EringNorm_2Epolynom__normalize_2E1 @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Epolynom__simplify_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ mono_2Ec_2EringNorm_2Epolynom__simplify_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ c_2EringNorm_2Epolynom__simplify_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Epolynom__simplify_2E1_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ ( mono_2Ec_2EringNorm_2Epolynom__simplify_2Emono_2Etyop_2Einteger_2Eint @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2EringNorm_2Epolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( c_2EringNorm_2Epolynom__simplify_2E1 @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__canonical__sum__merge_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ mono_2Ec_2EringNorm_2Er__canonical__sum__merge_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ c_2EringNorm_2Er__canonical__sum__merge_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__canonical__sum__merge_2E1_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( mono_2Ec_2EringNorm_2Er__canonical__sum__merge_2Emono_2Etyop_2Einteger_2Eint @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( c_2EringNorm_2Er__canonical__sum__merge_2E1 @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__canonical__sum__prod_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ mono_2Ec_2EringNorm_2Er__canonical__sum__prod_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ c_2EringNorm_2Er__canonical__sum__prod_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__canonical__sum__prod_2E1_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( mono_2Ec_2EringNorm_2Er__canonical__sum__prod_2Emono_2Etyop_2Einteger_2Eint @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( c_2EringNorm_2Er__canonical__sum__prod_2E1 @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__canonical__sum__scalar_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ mono_2Ec_2EringNorm_2Er__canonical__sum__scalar_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ c_2EringNorm_2Er__canonical__sum__scalar_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__canonical__sum__scalar_2E1_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( mono_2Ec_2EringNorm_2Er__canonical__sum__scalar_2Emono_2Etyop_2Einteger_2Eint @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( c_2EringNorm_2Er__canonical__sum__scalar_2E1 @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__canonical__sum__scalar2_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ mono_2Ec_2EringNorm_2Er__canonical__sum__scalar2_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ c_2EringNorm_2Er__canonical__sum__scalar2_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__canonical__sum__scalar2_2E1_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( mono_2Ec_2EringNorm_2Er__canonical__sum__scalar2_2Emono_2Etyop_2Einteger_2Eint @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( c_2EringNorm_2Er__canonical__sum__scalar2_2E1 @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__canonical__sum__scalar3_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29 @ mono_2Ec_2EringNorm_2Er__canonical__sum__scalar3_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) ) @ c_2EringNorm_2Er__canonical__sum__scalar3_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__canonical__sum__scalar3_2E1_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ ( mono_2Ec_2EringNorm_2Er__canonical__sum__scalar3_2Emono_2Etyop_2Einteger_2Eint @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( c_2EringNorm_2Er__canonical__sum__scalar3_2E1 @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__canonical__sum__simplify_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ mono_2Ec_2EringNorm_2Er__canonical__sum__simplify_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ c_2EringNorm_2Er__canonical__sum__simplify_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__canonical__sum__simplify_2E1_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ ( mono_2Ec_2EringNorm_2Er__canonical__sum__simplify_2Emono_2Etyop_2Einteger_2Eint @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( c_2EringNorm_2Er__canonical__sum__simplify_2E1 @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__ics__aux_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29_29 @ mono_2Ec_2EringNorm_2Er__ics__aux_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) ) @ c_2EringNorm_2Er__ics__aux_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__ics__aux_2E1_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( mono_2Ec_2EringNorm_2Er__ics__aux_2Emono_2Etyop_2Einteger_2Eint @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ ( c_2EringNorm_2Er__ics__aux_2E1 @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__interp__cs_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ mono_2Ec_2EringNorm_2Er__interp__cs_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ c_2EringNorm_2Er__interp__cs_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__interp__cs_2E1_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ ( mono_2Ec_2EringNorm_2Er__interp__cs_2Emono_2Etyop_2Einteger_2Eint @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( c_2EringNorm_2Er__interp__cs_2E1 @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__interp__m_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29_29 @ mono_2Ec_2EringNorm_2Er__interp__m_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) ) @ c_2EringNorm_2Er__interp__m_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__interp__m_2E1_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( mono_2Ec_2EringNorm_2Er__interp__m_2Emono_2Etyop_2Einteger_2Eint @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ ( c_2EringNorm_2Er__interp__m_2E1 @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__interp__sp_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29 @ mono_2Ec_2EringNorm_2Er__interp__sp_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) ) @ c_2EringNorm_2Er__interp__sp_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__interp__sp_2E1_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ ( mono_2Ec_2EringNorm_2Er__interp__sp_2Emono_2Etyop_2Einteger_2Eint @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( c_2EringNorm_2Er__interp__sp_2E1 @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__interp__vl_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29 @ mono_2Ec_2EringNorm_2Er__interp__vl_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ c_2EringNorm_2Er__interp__vl_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__interp__vl_2E1_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29 @ ( mono_2Ec_2EringNorm_2Er__interp__vl_2Emono_2Etyop_2Einteger_2Eint @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) @ ( c_2EringNorm_2Er__interp__vl_2E1 @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__ivl__aux_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29_29 @ mono_2Ec_2EringNorm_2Er__ivl__aux_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) ) @ c_2EringNorm_2Er__ivl__aux_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__ivl__aux_2E1_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29 @ ( mono_2Ec_2EringNorm_2Er__ivl__aux_2Emono_2Etyop_2Einteger_2Eint @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ tyop_2Einteger_2Eint ) ) ) @ ( c_2EringNorm_2Er__ivl__aux_2E1 @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__monom__insert_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29_29 @ mono_2Ec_2EringNorm_2Er__monom__insert_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) ) @ c_2EringNorm_2Er__monom__insert_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__monom__insert_2E1_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ ( mono_2Ec_2EringNorm_2Er__monom__insert_2Emono_2Etyop_2Einteger_2Eint @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( c_2EringNorm_2Er__monom__insert_2E1 @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__spolynom__normalize_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ mono_2Ec_2EringNorm_2Er__spolynom__normalize_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ c_2EringNorm_2Er__spolynom__normalize_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__spolynom__normalize_2E1_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ ( mono_2Ec_2EringNorm_2Er__spolynom__normalize_2Emono_2Etyop_2Einteger_2Eint @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( c_2EringNorm_2Er__spolynom__normalize_2E1 @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__spolynom__simplify_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ mono_2Ec_2EringNorm_2Er__spolynom__simplify_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ c_2EringNorm_2Er__spolynom__simplify_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__spolynom__simplify_2E1_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29 @ ( mono_2Ec_2EringNorm_2Er__spolynom__simplify_2Emono_2Etyop_2Einteger_2Eint @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Espolynom @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) @ ( c_2EringNorm_2Er__spolynom__simplify_2E1 @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__varlist__insert_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29 @ mono_2Ec_2EringNorm_2Er__varlist__insert_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) ) @ c_2EringNorm_2Er__varlist__insert_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2EringNorm_2Er__varlist__insert_2E1_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29 @ ( mono_2Ec_2EringNorm_2Er__varlist__insert_2Emono_2Etyop_2Einteger_2Eint @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Equote_2Eindex ) @ ( tyop_2Emin_2Efun @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) @ ( tyop_2Ecanonical_2Ecanonical__sum @ tyop_2Einteger_2Eint ) ) ) @ ( c_2EringNorm_2Er__varlist__insert_2E1 @ ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ering_2Erecordtype_2Ering_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29_29 @ mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) ) ) ) ) ) @ c_2Ering_2Erecordtype_2Ering_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ering_2Erecordtype_2Ering_2E5_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Einteger_2Eint,V2: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint,V3: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint,V4: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint] :
( ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 @ ( mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint @ V0 @ V1 @ V2 @ V3 @ V4 ) ) )
= ( s @ ( tyop_2Ering_2Ering @ tyop_2Einteger_2Eint ) @ ( c_2Ering_2Erecordtype_2Ering_2E5 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V0 ) ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V1 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ V2 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ V3 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ V4 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Equote_2Evarmap__find_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29 @ mono_2Ec_2Equote_2Evarmap__find_2Emono_2Etyop_2Einteger_2Eint ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Equote_2Eindex @ ( tyop_2Emin_2Efun @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ tyop_2Einteger_2Eint ) ) @ c_2Equote_2Evarmap__find_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Equote_2Evarmap__find_2E2_2Emono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29] :
( ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Equote_2Evarmap__find_2Emono_2Etyop_2Einteger_2Eint @ V0 @ V1 ) ) )
= ( s @ tyop_2Einteger_2Eint @ ( c_2Equote_2Evarmap__find_2E2 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V0 ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_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_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: $o > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0: $o > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint,V1: $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_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_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_20mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29,axiom,
! [V0: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint,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_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_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint,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_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Equote_2Eindex] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > $o,V1: mono_2Etyop_2Einteger_2Eint] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Einteger_2Eint] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Einteger_2Eint] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Einteger_2Eint] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Einteger_2Eint] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Einteger_2Eint] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Einteger_2Eint] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Einteger_2Eint] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Einteger_2Eint] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Einteger_2Eint] :
( ( 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_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_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_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint,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_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_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint,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_2EternaryComparisons_2Eordering_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0: mono_2Etyop_2EternaryComparisons_2Eordering > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2EternaryComparisons_2Eordering] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > $o,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Espolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Ering_2Ering_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Equote_2Eindex_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Equote_2Eindex > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Emin_2Efun_28tyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29_2Ctyop_2Einteger_2Eint_29,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29_20mono_2Etyop_2Einteger_2Eint,axiom,
! [V0: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29 > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(thm_2EintegerRing_2Eint__interp__p__def,axiom,
( mono_2Ec_2EintegerRing_2Eint__interp__p
= ( mono_2Ec_2EringNorm_2Einterp__p_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Einteger_2Eint__0 @ mono_2Ec_2Einteger_2Eint__1 @ mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__mul @ mono_2Ec_2Einteger_2Eint__neg ) ) ) ).
thf(thm_2EintegerRing_2Eint__polynom__simplify__def,axiom,
( mono_2Ec_2EintegerRing_2Eint__polynom__simplify
= ( mono_2Ec_2EringNorm_2Epolynom__simplify_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Einteger_2Eint__0 @ mono_2Ec_2Einteger_2Eint__1 @ mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__mul @ mono_2Ec_2Einteger_2Eint__neg ) ) ) ).
thf(thm_2EintegerRing_2Eint__polynom__normalize__def,axiom,
( mono_2Ec_2EintegerRing_2Eint__polynom__normalize
= ( mono_2Ec_2EringNorm_2Epolynom__normalize_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Einteger_2Eint__0 @ mono_2Ec_2Einteger_2Eint__1 @ mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__mul @ mono_2Ec_2Einteger_2Eint__neg ) ) ) ).
thf(thm_2EintegerRing_2Eint__r__canonical__sum__merge__def,axiom,
( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge
= ( mono_2Ec_2EringNorm_2Er__canonical__sum__merge_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Einteger_2Eint__0 @ mono_2Ec_2Einteger_2Eint__1 @ mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__mul @ mono_2Ec_2Einteger_2Eint__neg ) ) ) ).
thf(thm_2EintegerRing_2Eint__r__monom__insert__def,axiom,
( mono_2Ec_2EintegerRing_2Eint__r__monom__insert
= ( mono_2Ec_2EringNorm_2Er__monom__insert_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Einteger_2Eint__0 @ mono_2Ec_2Einteger_2Eint__1 @ mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__mul @ mono_2Ec_2Einteger_2Eint__neg ) ) ) ).
thf(thm_2EintegerRing_2Eint__r__varlist__insert__def,axiom,
( mono_2Ec_2EintegerRing_2Eint__r__varlist__insert
= ( mono_2Ec_2EringNorm_2Er__varlist__insert_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Einteger_2Eint__0 @ mono_2Ec_2Einteger_2Eint__1 @ mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__mul @ mono_2Ec_2Einteger_2Eint__neg ) ) ) ).
thf(thm_2EintegerRing_2Eint__r__canonical__sum__scalar__def,axiom,
( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar
= ( mono_2Ec_2EringNorm_2Er__canonical__sum__scalar_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Einteger_2Eint__0 @ mono_2Ec_2Einteger_2Eint__1 @ mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__mul @ mono_2Ec_2Einteger_2Eint__neg ) ) ) ).
thf(thm_2EintegerRing_2Eint__r__canonical__sum__scalar2__def,axiom,
( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar2
= ( mono_2Ec_2EringNorm_2Er__canonical__sum__scalar2_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Einteger_2Eint__0 @ mono_2Ec_2Einteger_2Eint__1 @ mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__mul @ mono_2Ec_2Einteger_2Eint__neg ) ) ) ).
thf(thm_2EintegerRing_2Eint__r__canonical__sum__scalar3__def,axiom,
( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar3
= ( mono_2Ec_2EringNorm_2Er__canonical__sum__scalar3_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Einteger_2Eint__0 @ mono_2Ec_2Einteger_2Eint__1 @ mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__mul @ mono_2Ec_2Einteger_2Eint__neg ) ) ) ).
thf(thm_2EintegerRing_2Eint__r__canonical__sum__prod__def,axiom,
( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__prod
= ( mono_2Ec_2EringNorm_2Er__canonical__sum__prod_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Einteger_2Eint__0 @ mono_2Ec_2Einteger_2Eint__1 @ mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__mul @ mono_2Ec_2Einteger_2Eint__neg ) ) ) ).
thf(thm_2EintegerRing_2Eint__r__canonical__sum__simplify__def,axiom,
( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__simplify
= ( mono_2Ec_2EringNorm_2Er__canonical__sum__simplify_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Einteger_2Eint__0 @ mono_2Ec_2Einteger_2Eint__1 @ mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__mul @ mono_2Ec_2Einteger_2Eint__neg ) ) ) ).
thf(thm_2EintegerRing_2Eint__r__ivl__aux__def,axiom,
( mono_2Ec_2EintegerRing_2Eint__r__ivl__aux
= ( mono_2Ec_2EringNorm_2Er__ivl__aux_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Einteger_2Eint__0 @ mono_2Ec_2Einteger_2Eint__1 @ mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__mul @ mono_2Ec_2Einteger_2Eint__neg ) ) ) ).
thf(thm_2EintegerRing_2Eint__r__interp__vl__def,axiom,
( mono_2Ec_2EintegerRing_2Eint__r__interp__vl
= ( mono_2Ec_2EringNorm_2Er__interp__vl_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Einteger_2Eint__0 @ mono_2Ec_2Einteger_2Eint__1 @ mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__mul @ mono_2Ec_2Einteger_2Eint__neg ) ) ) ).
thf(thm_2EintegerRing_2Eint__r__interp__m__def,axiom,
( mono_2Ec_2EintegerRing_2Eint__r__interp__m
= ( mono_2Ec_2EringNorm_2Er__interp__m_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Einteger_2Eint__0 @ mono_2Ec_2Einteger_2Eint__1 @ mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__mul @ mono_2Ec_2Einteger_2Eint__neg ) ) ) ).
thf(thm_2EintegerRing_2Eint__r__ics__aux__def,axiom,
( mono_2Ec_2EintegerRing_2Eint__r__ics__aux
= ( mono_2Ec_2EringNorm_2Er__ics__aux_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Einteger_2Eint__0 @ mono_2Ec_2Einteger_2Eint__1 @ mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__mul @ mono_2Ec_2Einteger_2Eint__neg ) ) ) ).
thf(thm_2EintegerRing_2Eint__r__interp__cs__def,axiom,
( mono_2Ec_2EintegerRing_2Eint__r__interp__cs
= ( mono_2Ec_2EringNorm_2Er__interp__cs_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Einteger_2Eint__0 @ mono_2Ec_2Einteger_2Eint__1 @ mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__mul @ mono_2Ec_2Einteger_2Eint__neg ) ) ) ).
thf(thm_2EintegerRing_2Eint__r__spolynom__normalize__def,axiom,
( mono_2Ec_2EintegerRing_2Eint__r__spolynom__normalize
= ( mono_2Ec_2EringNorm_2Er__spolynom__normalize_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Einteger_2Eint__0 @ mono_2Ec_2Einteger_2Eint__1 @ mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__mul @ mono_2Ec_2Einteger_2Eint__neg ) ) ) ).
thf(thm_2EintegerRing_2Eint__r__spolynom__simplify__def,axiom,
( mono_2Ec_2EintegerRing_2Eint__r__spolynom__simplify
= ( mono_2Ec_2EringNorm_2Er__spolynom__simplify_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Einteger_2Eint__0 @ mono_2Ec_2Einteger_2Eint__1 @ mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__mul @ mono_2Ec_2Einteger_2Eint__neg ) ) ) ).
thf(thm_2EintegerRing_2Eint__r__interp__sp__def,axiom,
( mono_2Ec_2EintegerRing_2Eint__r__interp__sp
= ( mono_2Ec_2EringNorm_2Er__interp__sp_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Einteger_2Eint__0 @ mono_2Ec_2Einteger_2Eint__1 @ mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__mul @ mono_2Ec_2Einteger_2Eint__neg ) ) ) ).
thf(thm_2EintegerRing_2Eint__is__ring,axiom,
mono_2Ec_2Ering_2Eis__ring_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Einteger_2Eint__0 @ mono_2Ec_2Einteger_2Eint__1 @ mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__mul @ mono_2Ec_2Einteger_2Eint__neg ) ).
thf(thm_2EintegerRing_2Eint__ring__thms,axiom,
! [A_27a: d,F2: mono_2Etyop_2Einteger_2Eint > $o,F1: mono_2Etyop_2Einteger_2Eint > $o,F0_2E0: u] :
( ! [V107c: mono_2Etyop_2Einteger_2Eint] :
( ( F2 @ V107c )
<=> ( V107c = mono_2Ec_2Einteger_2Eint__1 ) )
=> ( ! [V107c: mono_2Etyop_2Einteger_2Eint] :
( ( F1 @ V107c )
<=> ( V107c = mono_2Ec_2Einteger_2Eint__0 ) )
=> ( ! [V26x_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 @ V26x_2E0 ) ) ) )
= mono_2Ec_2Ebool_2ET )
=> ( ( mono_2Ec_2Ering_2Eis__ring_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Ering_2Erecordtype_2Ering_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Einteger_2Eint__0 @ mono_2Ec_2Einteger_2Eint__1 @ mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__mul @ mono_2Ec_2Einteger_2Eint__neg ) )
& ! [V0vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29,V1p: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__interp__p @ V0vm @ V1p )
= ( mono_2Ec_2EintegerRing_2Eint__r__interp__cs @ V0vm @ ( mono_2Ec_2EintegerRing_2Eint__polynom__simplify @ V1p ) ) )
& ! [V2vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29,V3c: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2EintegerRing_2Eint__interp__p @ V2vm @ ( mono_2Ec_2EringNorm_2EPconst_2Emono_2Etyop_2Einteger_2Eint @ V3c ) )
= V3c )
& ! [V4vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29,V5i: mono_2Etyop_2Equote_2Eindex] :
( ( mono_2Ec_2EintegerRing_2Eint__interp__p @ V4vm @ ( mono_2Ec_2EringNorm_2EPvar_2Emono_2Etyop_2Einteger_2Eint @ V5i ) )
= ( mono_2Ec_2Equote_2Evarmap__find_2Emono_2Etyop_2Einteger_2Eint @ V5i @ V4vm ) )
& ! [V6vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29,V7p1: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,V8p2: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__interp__p @ V6vm @ ( mono_2Ec_2EringNorm_2EPplus_2Emono_2Etyop_2Einteger_2Eint @ V7p1 @ V8p2 ) )
= ( mono_2Ec_2Einteger_2Eint__add @ ( mono_2Ec_2EintegerRing_2Eint__interp__p @ V6vm @ V7p1 ) @ ( mono_2Ec_2EintegerRing_2Eint__interp__p @ V6vm @ V8p2 ) ) )
& ! [V9vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29,V10p1: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,V11p2: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__interp__p @ V9vm @ ( mono_2Ec_2EringNorm_2EPmult_2Emono_2Etyop_2Einteger_2Eint @ V10p1 @ V11p2 ) )
= ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2EintegerRing_2Eint__interp__p @ V9vm @ V10p1 ) @ ( mono_2Ec_2EintegerRing_2Eint__interp__p @ V9vm @ V11p2 ) ) )
& ! [V12vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29,V13p1: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__interp__p @ V12vm @ ( mono_2Ec_2EringNorm_2EPopp_2Emono_2Etyop_2Einteger_2Eint @ V13p1 ) )
= ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2EintegerRing_2Eint__interp__p @ V12vm @ V13p1 ) ) )
& ! [V14x_2E0: u,V15v2_2E0: u,V16v1_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 @ V14x_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V16v1_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V15v2_2E0 ) ) ) ) )
= ( s @ A_27a @ V14x_2E0 ) )
& ! [V17x_2E0: u,V18v2_2E0: u,V19v1_2E0: u,V20i1: 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 @ V20i1 ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( c_2Equote_2ENode__vm_2E3 @ ( s @ A_27a @ V17x_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V19v1_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V18v2_2E0 ) ) ) ) )
= ( s @ A_27a @ ( c_2Equote_2Evarmap__find_2E2 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V20i1 ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V18v2_2E0 ) ) ) )
& ! [V21x_2E0: u,V22v2_2E0: u,V23v1_2E0: u,V24i1: 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 @ V24i1 ) ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ ( c_2Equote_2ENode__vm_2E3 @ ( s @ A_27a @ V21x_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V23v1_2E0 ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V22v2_2E0 ) ) ) ) )
= ( s @ A_27a @ ( c_2Equote_2Evarmap__find_2E2 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V24i1 ) ) @ ( s @ ( tyop_2Equote_2Evarmap @ A_27a ) @ V23v1_2E0 ) ) ) )
& ! [V25i: mono_2Etyop_2Equote_2Eindex] :
( ( s @ A_27a @ ( c_2Equote_2Evarmap__find_2E2 @ ( s @ tyop_2Equote_2Eindex @ ( i_mono_2Etyop_2Equote_2Eindex @ V25i ) ) @ ( 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 ) ) ) )
& ! [V27t2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V28t1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V29l2: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V30l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V31c2: mono_2Etyop_2Einteger_2Eint,V32c1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V32c1 @ V30l1 @ V28t1 ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V31c2 @ V29l2 @ V27t2 ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ ( mono_2Ec_2EternaryComparisons_2Elist__compare_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__compare @ V30l1 @ V29l2 ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V32c1 @ V30l1 @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge @ V28t1 @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V31c2 @ V29l2 @ V27t2 ) ) ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__add @ V32c1 @ V31c2 ) @ V30l1 @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge @ V28t1 @ V27t2 ) ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V31c2 @ V29l2 @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V32c1 @ V30l1 @ V28t1 ) @ V27t2 ) ) ) )
& ! [V33t2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V34t1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V35l2: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V36l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V37c1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V37c1 @ V36l1 @ V34t1 ) @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V35l2 @ V33t2 ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ ( mono_2Ec_2EternaryComparisons_2Elist__compare_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__compare @ V36l1 @ V35l2 ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V37c1 @ V36l1 @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge @ V34t1 @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V35l2 @ V33t2 ) ) ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__add @ V37c1 @ mono_2Ec_2Einteger_2Eint__1 ) @ V36l1 @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge @ V34t1 @ V33t2 ) ) @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V35l2 @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V37c1 @ V36l1 @ V34t1 ) @ V33t2 ) ) ) )
& ! [V38t2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V39t1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V40l2: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V41l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V42c2: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V41l1 @ V39t1 ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V42c2 @ V40l2 @ V38t2 ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ ( mono_2Ec_2EternaryComparisons_2Elist__compare_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__compare @ V41l1 @ V40l2 ) @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V41l1 @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge @ V39t1 @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V42c2 @ V40l2 @ V38t2 ) ) ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__1 @ V42c2 ) @ V41l1 @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge @ V39t1 @ V38t2 ) ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V42c2 @ V40l2 @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V41l1 @ V39t1 ) @ V38t2 ) ) ) )
& ! [V43t2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V44t1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V45l2: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V46l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V46l1 @ V44t1 ) @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V45l2 @ V43t2 ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ ( mono_2Ec_2EternaryComparisons_2Elist__compare_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__compare @ V46l1 @ V45l2 ) @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V46l1 @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge @ V44t1 @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V45l2 @ V43t2 ) ) ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__1 @ mono_2Ec_2Einteger_2Eint__1 ) @ V46l1 @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge @ V44t1 @ V43t2 ) ) @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V45l2 @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V46l1 @ V44t1 ) @ V43t2 ) ) ) )
& ! [V47s1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge @ V47s1 @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Einteger_2Eint )
= V47s1 )
& ! [V48v6: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V49v5: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V50v4: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V50v4 @ V49v5 @ V48v6 ) )
= ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V50v4 @ V49v5 @ V48v6 ) )
& ! [V51v8: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V52v7: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V52v7 @ V51v8 ) )
= ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V52v7 @ V51v8 ) )
& ! [V53t2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V54l2: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V55l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V56c2: mono_2Etyop_2Einteger_2Eint,V57c1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2EintegerRing_2Eint__r__monom__insert @ V57c1 @ V55l1 @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V56c2 @ V54l2 @ V53t2 ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ ( mono_2Ec_2EternaryComparisons_2Elist__compare_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__compare @ V55l1 @ V54l2 ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V57c1 @ V55l1 @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V56c2 @ V54l2 @ V53t2 ) ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__add @ V57c1 @ V56c2 ) @ V55l1 @ V53t2 ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V56c2 @ V54l2 @ ( mono_2Ec_2EintegerRing_2Eint__r__monom__insert @ V57c1 @ V55l1 @ V53t2 ) ) ) )
& ! [V58t2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V59l2: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V60l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V61c1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2EintegerRing_2Eint__r__monom__insert @ V61c1 @ V60l1 @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V59l2 @ V58t2 ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ ( mono_2Ec_2EternaryComparisons_2Elist__compare_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__compare @ V60l1 @ V59l2 ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V61c1 @ V60l1 @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V59l2 @ V58t2 ) ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__add @ V61c1 @ mono_2Ec_2Einteger_2Eint__1 ) @ V60l1 @ V58t2 ) @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V59l2 @ ( mono_2Ec_2EintegerRing_2Eint__r__monom__insert @ V61c1 @ V60l1 @ V58t2 ) ) ) )
& ! [V62l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V63c1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2EintegerRing_2Eint__r__monom__insert @ V63c1 @ V62l1 @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Einteger_2Eint )
= ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V63c1 @ V62l1 @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Einteger_2Eint ) )
& ! [V64t2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V65l2: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V66l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V67c2: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2EintegerRing_2Eint__r__varlist__insert @ V66l1 @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V67c2 @ V65l2 @ V64t2 ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ ( mono_2Ec_2EternaryComparisons_2Elist__compare_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__compare @ V66l1 @ V65l2 ) @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V66l1 @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V67c2 @ V65l2 @ V64t2 ) ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__1 @ V67c2 ) @ V66l1 @ V64t2 ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V67c2 @ V65l2 @ ( mono_2Ec_2EintegerRing_2Eint__r__varlist__insert @ V66l1 @ V64t2 ) ) ) )
& ! [V68t2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V69l2: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V70l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__varlist__insert @ V70l1 @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V69l2 @ V68t2 ) )
= ( mono_2Ec_2EternaryComparisons_2Eordering__CASE_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ ( mono_2Ec_2EternaryComparisons_2Elist__compare_2Emono_2Etyop_2Equote_2Eindex_20mono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__compare @ V70l1 @ V69l2 ) @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V70l1 @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V69l2 @ V68t2 ) ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__add @ mono_2Ec_2Einteger_2Eint__1 @ mono_2Ec_2Einteger_2Eint__1 ) @ V70l1 @ V68t2 ) @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V69l2 @ ( mono_2Ec_2EintegerRing_2Eint__r__varlist__insert @ V70l1 @ V68t2 ) ) ) )
& ! [V71l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__varlist__insert @ V71l1 @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Einteger_2Eint )
= ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V71l1 @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Einteger_2Eint ) )
& ! [V72c0: mono_2Etyop_2Einteger_2Eint,V73c: mono_2Etyop_2Einteger_2Eint,V74l: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V75t: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar @ V72c0 @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V73c @ V74l @ V75t ) )
= ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__mul @ V72c0 @ V73c ) @ V74l @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar @ V72c0 @ V75t ) ) )
& ! [V76c0: mono_2Etyop_2Einteger_2Eint,V77l: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V78t: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar @ V76c0 @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V77l @ V78t ) )
= ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V76c0 @ V77l @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar @ V76c0 @ V78t ) ) )
& ! [V79c0: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar @ V79c0 @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Einteger_2Eint )
= mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Einteger_2Eint )
& ! [V80l0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V81c: mono_2Etyop_2Einteger_2Eint,V82l: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V83t: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar2 @ V80l0 @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V81c @ V82l @ V83t ) )
= ( mono_2Ec_2EintegerRing_2Eint__r__monom__insert @ V81c @ ( mono_2Ec_2EternaryComparisons_2Elist__merge_2Emono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__lt @ V80l0 @ V82l ) @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar2 @ V80l0 @ V83t ) ) )
& ! [V84l0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V85l: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V86t: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar2 @ V84l0 @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V85l @ V86t ) )
= ( mono_2Ec_2EintegerRing_2Eint__r__varlist__insert @ ( mono_2Ec_2EternaryComparisons_2Elist__merge_2Emono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__lt @ V84l0 @ V85l ) @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar2 @ V84l0 @ V86t ) ) )
& ! [V87l0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar2 @ V87l0 @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Einteger_2Eint )
= mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Einteger_2Eint )
& ! [V88c0: mono_2Etyop_2Einteger_2Eint,V89l0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V90c: mono_2Etyop_2Einteger_2Eint,V91l: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V92t: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar3 @ V88c0 @ V89l0 @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V90c @ V91l @ V92t ) )
= ( mono_2Ec_2EintegerRing_2Eint__r__monom__insert @ ( mono_2Ec_2Einteger_2Eint__mul @ V88c0 @ V90c ) @ ( mono_2Ec_2EternaryComparisons_2Elist__merge_2Emono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__lt @ V89l0 @ V91l ) @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar3 @ V88c0 @ V89l0 @ V92t ) ) )
& ! [V93c0: mono_2Etyop_2Einteger_2Eint,V94l0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V95l: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V96t: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar3 @ V93c0 @ V94l0 @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V95l @ V96t ) )
= ( mono_2Ec_2EintegerRing_2Eint__r__monom__insert @ V93c0 @ ( mono_2Ec_2EternaryComparisons_2Elist__merge_2Emono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Equote_2Eindex__lt @ V94l0 @ V95l ) @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar3 @ V93c0 @ V94l0 @ V96t ) ) )
& ! [V97c0: mono_2Etyop_2Einteger_2Eint,V98l0: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar3 @ V97c0 @ V98l0 @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Einteger_2Eint )
= mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Einteger_2Eint )
& ! [V99c1: mono_2Etyop_2Einteger_2Eint,V100l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V101t1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V102s2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__prod @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V99c1 @ V100l1 @ V101t1 ) @ V102s2 )
= ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar3 @ V99c1 @ V100l1 @ V102s2 ) @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__prod @ V101t1 @ V102s2 ) ) )
& ! [V103l1: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V104t1: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29,V105s2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__prod @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V103l1 @ V104t1 ) @ V105s2 )
= ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar2 @ V103l1 @ V105s2 ) @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__prod @ V104t1 @ V105s2 ) ) )
& ! [V106s2: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__prod @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Einteger_2Eint @ V106s2 )
= mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Einteger_2Eint )
& ! [V107c: mono_2Etyop_2Einteger_2Eint,V108l: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V109t: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__simplify @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V107c @ V108l @ V109t ) )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ ( F1 @ V107c ) @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__simplify @ V109t ) @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29 @ ( F2 @ V107c ) @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V108l @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__simplify @ V109t ) ) @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V107c @ V108l @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__simplify @ V109t ) ) ) ) )
& ! [V110l: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V111t: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__simplify @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V110l @ V111t ) )
= ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V110l @ ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__simplify @ V111t ) ) )
& ( ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__simplify @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Einteger_2Eint )
= mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Einteger_2Eint )
& ! [V112vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29,V113x: mono_2Etyop_2Equote_2Eindex] :
( ( mono_2Ec_2EintegerRing_2Eint__r__ivl__aux @ V112vm @ V113x @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Equote_2Eindex )
= ( mono_2Ec_2Equote_2Evarmap__find_2Emono_2Etyop_2Einteger_2Eint @ V113x @ V112vm ) )
& ! [V114vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29,V115x: mono_2Etyop_2Equote_2Eindex,V116x_27: mono_2Etyop_2Equote_2Eindex,V117t_27: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__ivl__aux @ V114vm @ V115x @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Equote_2Eindex @ V116x_27 @ V117t_27 ) )
= ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Equote_2Evarmap__find_2Emono_2Etyop_2Einteger_2Eint @ V115x @ V114vm ) @ ( mono_2Ec_2EintegerRing_2Eint__r__ivl__aux @ V114vm @ V116x_27 @ V117t_27 ) ) )
& ! [V118vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__interp__vl @ V118vm @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Equote_2Eindex )
= mono_2Ec_2Einteger_2Eint__1 )
& ! [V119vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29,V120x: mono_2Etyop_2Equote_2Eindex,V121t: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__interp__vl @ V119vm @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Equote_2Eindex @ V120x @ V121t ) )
= ( mono_2Ec_2EintegerRing_2Eint__r__ivl__aux @ V119vm @ V120x @ V121t ) )
& ! [V122vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29,V123c: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2EintegerRing_2Eint__r__interp__m @ V122vm @ V123c @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Equote_2Eindex )
= V123c )
& ! [V124vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29,V125c: mono_2Etyop_2Einteger_2Eint,V126x: mono_2Etyop_2Equote_2Eindex,V127t: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__interp__m @ V124vm @ V125c @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Equote_2Eindex @ V126x @ V127t ) )
= ( mono_2Ec_2Einteger_2Eint__mul @ V125c @ ( mono_2Ec_2EintegerRing_2Eint__r__ivl__aux @ V124vm @ V126x @ V127t ) ) )
& ! [V128vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29,V129a: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2EintegerRing_2Eint__r__ics__aux @ V128vm @ V129a @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Einteger_2Eint )
= V129a )
& ! [V130vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29,V131a: mono_2Etyop_2Einteger_2Eint,V132l: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V133t: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__ics__aux @ V130vm @ V131a @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V132l @ V133t ) )
= ( mono_2Ec_2Einteger_2Eint__add @ V131a @ ( mono_2Ec_2EintegerRing_2Eint__r__ics__aux @ V130vm @ ( mono_2Ec_2EintegerRing_2Eint__r__interp__vl @ V130vm @ V132l ) @ V133t ) ) )
& ! [V134vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29,V135a: mono_2Etyop_2Einteger_2Eint,V136c: mono_2Etyop_2Einteger_2Eint,V137l: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V138t: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__ics__aux @ V134vm @ V135a @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V136c @ V137l @ V138t ) )
= ( mono_2Ec_2Einteger_2Eint__add @ V135a @ ( mono_2Ec_2EintegerRing_2Eint__r__ics__aux @ V134vm @ ( mono_2Ec_2EintegerRing_2Eint__r__interp__m @ V134vm @ V136c @ V137l ) @ V138t ) ) )
& ! [V139vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__interp__cs @ V139vm @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Einteger_2Eint )
= mono_2Ec_2Einteger_2Eint__0 )
& ! [V140vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29,V141l: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V142t: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__interp__cs @ V140vm @ ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ V141l @ V142t ) )
= ( mono_2Ec_2EintegerRing_2Eint__r__ics__aux @ V140vm @ ( mono_2Ec_2EintegerRing_2Eint__r__interp__vl @ V140vm @ V141l ) @ V142t ) )
& ! [V143vm: mono_2Etyop_2Equote_2Evarmap_28tyop_2Einteger_2Eint_29,V144c: mono_2Etyop_2Einteger_2Eint,V145l: mono_2Etyop_2Elist_2Elist_28tyop_2Equote_2Eindex_29,V146t: mono_2Etyop_2Ecanonical_2Ecanonical__sum_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__r__interp__cs @ V143vm @ ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V144c @ V145l @ V146t ) )
= ( mono_2Ec_2EintegerRing_2Eint__r__ics__aux @ V143vm @ ( mono_2Ec_2EintegerRing_2Eint__r__interp__m @ V143vm @ V144c @ V145l ) @ V146t ) )
& ! [V147i: mono_2Etyop_2Equote_2Eindex] :
( ( mono_2Ec_2EintegerRing_2Eint__polynom__normalize @ ( mono_2Ec_2EringNorm_2EPvar_2Emono_2Etyop_2Einteger_2Eint @ V147i ) )
= ( mono_2Ec_2Ecanonical_2ECons__varlist_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Equote_2Eindex @ V147i @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Equote_2Eindex ) @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Einteger_2Eint ) )
& ! [V148c: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2EintegerRing_2Eint__polynom__normalize @ ( mono_2Ec_2EringNorm_2EPconst_2Emono_2Etyop_2Einteger_2Eint @ V148c ) )
= ( mono_2Ec_2Ecanonical_2ECons__monom_2Emono_2Etyop_2Einteger_2Eint @ V148c @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Equote_2Eindex @ mono_2Ec_2Ecanonical_2ENil__monom_2Emono_2Etyop_2Einteger_2Eint ) )
& ! [V149pl: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,V150pr: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__polynom__normalize @ ( mono_2Ec_2EringNorm_2EPplus_2Emono_2Etyop_2Einteger_2Eint @ V149pl @ V150pr ) )
= ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__merge @ ( mono_2Ec_2EintegerRing_2Eint__polynom__normalize @ V149pl ) @ ( mono_2Ec_2EintegerRing_2Eint__polynom__normalize @ V150pr ) ) )
& ! [V151pl: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29,V152pr: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__polynom__normalize @ ( mono_2Ec_2EringNorm_2EPmult_2Emono_2Etyop_2Einteger_2Eint @ V151pl @ V152pr ) )
= ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__prod @ ( mono_2Ec_2EintegerRing_2Eint__polynom__normalize @ V151pl ) @ ( mono_2Ec_2EintegerRing_2Eint__polynom__normalize @ V152pr ) ) )
& ! [V153p: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__polynom__normalize @ ( mono_2Ec_2EringNorm_2EPopp_2Emono_2Etyop_2Einteger_2Eint @ V153p ) )
= ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__scalar3 @ ( mono_2Ec_2Einteger_2Eint__neg @ mono_2Ec_2Einteger_2Eint__1 ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Equote_2Eindex @ ( mono_2Ec_2EintegerRing_2Eint__polynom__normalize @ V153p ) ) )
& ! [V154x: mono_2Etyop_2EringNorm_2Epolynom_28tyop_2Einteger_2Eint_29] :
( ( mono_2Ec_2EintegerRing_2Eint__polynom__simplify @ V154x )
= ( mono_2Ec_2EintegerRing_2Eint__r__canonical__sum__simplify @ ( mono_2Ec_2EintegerRing_2Eint__polynom__normalize @ V154x ) ) ) ) ) ) ) ).
thf(thm_2EintegerRing_2Eint__calculate,axiom,
! [V0x: mono_2Etyop_2Einteger_2Eint,V1n: mono_2Etyop_2Enum_2Enum,V2m: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Einteger_2Eint__add @ ( mono_2Ec_2Einteger_2Eint__of__num @ V1n ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ V2m ) )
= ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2E_2B @ V1n @ V2m ) ) )
& ( ( mono_2Ec_2Einteger_2Eint__add @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V1n ) ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ V2m ) )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Earithmetic_2E_3C_3D @ V1n @ V2m ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2E_2D @ V2m @ V1n ) ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2E_2D @ V1n @ V2m ) ) ) ) )
& ( ( mono_2Ec_2Einteger_2Eint__add @ ( mono_2Ec_2Einteger_2Eint__of__num @ V1n ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V2m ) ) )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Earithmetic_2E_3C_3D @ V2m @ V1n ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2E_2D @ V1n @ V2m ) ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2E_2D @ V2m @ V1n ) ) ) ) )
& ( ( mono_2Ec_2Einteger_2Eint__add @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V1n ) ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V2m ) ) )
= ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2E_2B @ V1n @ V2m ) ) ) )
& ( ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Einteger_2Eint__of__num @ V1n ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ V2m ) )
= ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2E_2A @ V1n @ V2m ) ) )
& ( ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V1n ) ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ V2m ) )
= ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2E_2A @ V1n @ V2m ) ) ) )
& ( ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Einteger_2Eint__of__num @ V1n ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V2m ) ) )
= ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2E_2A @ V1n @ V2m ) ) ) )
& ( ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V1n ) ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V2m ) ) )
= ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2E_2A @ V1n @ V2m ) ) )
& ( ( ( mono_2Ec_2Einteger_2Eint__of__num @ V1n )
= ( mono_2Ec_2Einteger_2Eint__of__num @ V2m ) )
<=> ( V1n = V2m ) )
& ( ( ( mono_2Ec_2Einteger_2Eint__of__num @ V1n )
= ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V2m ) ) )
<=> ( ( V1n = mono_2Ec_2Enum_2E0 )
& ( V2m = mono_2Ec_2Enum_2E0 ) ) )
& ( ( ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V1n ) )
= ( mono_2Ec_2Einteger_2Eint__of__num @ V2m ) )
<=> ( ( V1n = mono_2Ec_2Enum_2E0 )
& ( V2m = mono_2Ec_2Enum_2E0 ) ) )
& ( ( ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V1n ) )
= ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V2m ) ) )
<=> ( V1n = V2m ) )
& ( ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__neg @ V0x ) )
= V0x )
& ( ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) )
= ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ).
thf(thm_2EintegerRing_2Eint__rewrites,axiom,
! [V0x: mono_2Etyop_2Enum_2Enum,V1x: mono_2Etyop_2Einteger_2Eint,V2n: mono_2Etyop_2Enum_2Enum,V3m: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Einteger_2Eint__add @ ( mono_2Ec_2Einteger_2Eint__of__num @ V2n ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ V3m ) )
= ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2E_2B @ V2n @ V3m ) ) )
& ( ( mono_2Ec_2Einteger_2Eint__add @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V2n ) ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ V3m ) )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Earithmetic_2E_3C_3D @ V2n @ V3m ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2E_2D @ V3m @ V2n ) ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2E_2D @ V2n @ V3m ) ) ) ) )
& ( ( mono_2Ec_2Einteger_2Eint__add @ ( mono_2Ec_2Einteger_2Eint__of__num @ V2n ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V3m ) ) )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Earithmetic_2E_3C_3D @ V3m @ V2n ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2E_2D @ V2n @ V3m ) ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2E_2D @ V3m @ V2n ) ) ) ) )
& ( ( mono_2Ec_2Einteger_2Eint__add @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V2n ) ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V3m ) ) )
= ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2E_2B @ V2n @ V3m ) ) ) )
& ( ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Einteger_2Eint__of__num @ V2n ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ V3m ) )
= ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2E_2A @ V2n @ V3m ) ) )
& ( ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V2n ) ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ V3m ) )
= ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2E_2A @ V2n @ V3m ) ) ) )
& ( ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Einteger_2Eint__of__num @ V2n ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V3m ) ) )
= ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2E_2A @ V2n @ V3m ) ) ) )
& ( ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V2n ) ) @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V3m ) ) )
= ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2E_2A @ V2n @ V3m ) ) )
& ( ( ( mono_2Ec_2Einteger_2Eint__of__num @ V2n )
= ( mono_2Ec_2Einteger_2Eint__of__num @ V3m ) )
<=> ( V2n = V3m ) )
& ( ( ( mono_2Ec_2Einteger_2Eint__of__num @ V2n )
= ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V3m ) ) )
<=> ( ( V2n = mono_2Ec_2Enum_2E0 )
& ( V3m = mono_2Ec_2Enum_2E0 ) ) )
& ( ( ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V2n ) )
= ( mono_2Ec_2Einteger_2Eint__of__num @ V3m ) )
<=> ( ( V2n = mono_2Ec_2Enum_2E0 )
& ( V3m = mono_2Ec_2Enum_2E0 ) ) )
& ( ( ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V2n ) )
= ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V3m ) ) )
<=> ( V2n = V3m ) )
& ( ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__neg @ V1x ) )
= V1x )
& ( ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) )
= ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) )
& ( mono_2Ec_2Einteger_2Eint__0
= ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) )
& ( mono_2Ec_2Einteger_2Eint__1
= ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) )
& ! [V4n: mono_2Etyop_2Enum_2Enum,V5m: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Earithmetic_2EZERO @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V4n ) )
= mono_2Ec_2Ebool_2ET )
& ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Earithmetic_2EZERO @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V4n ) )
= mono_2Ec_2Ebool_2ET )
& ( ( mono_2Ec_2Eprim__rec_2E_3C @ V4n @ mono_2Ec_2Earithmetic_2EZERO )
= mono_2Ec_2Ebool_2EF )
& ( ( mono_2Ec_2Eprim__rec_2E_3C @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V4n ) @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V5m ) )
= ( mono_2Ec_2Eprim__rec_2E_3C @ V4n @ V5m ) )
& ( ( mono_2Ec_2Eprim__rec_2E_3C @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V4n ) @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V5m ) )
= ( mono_2Ec_2Eprim__rec_2E_3C @ V4n @ V5m ) )
& ( ( mono_2Ec_2Eprim__rec_2E_3C @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V4n ) @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V5m ) )
<=> ( (~) @ ( mono_2Ec_2Eprim__rec_2E_3C @ V5m @ V4n ) ) )
& ( ( mono_2Ec_2Eprim__rec_2E_3C @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V4n ) @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V5m ) )
= ( mono_2Ec_2Eprim__rec_2E_3C @ V4n @ V5m ) ) )
& ! [V6n: mono_2Etyop_2Enum_2Enum,V7m: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ mono_2Ec_2Earithmetic_2EZERO @ V6n )
= mono_2Ec_2Ebool_2ET )
& ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V6n ) @ mono_2Ec_2Earithmetic_2EZERO )
= mono_2Ec_2Ebool_2EF )
& ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V6n ) @ mono_2Ec_2Earithmetic_2EZERO )
= mono_2Ec_2Ebool_2EF )
& ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V6n ) @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V7m ) )
= ( mono_2Ec_2Earithmetic_2E_3C_3D @ V6n @ V7m ) )
& ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V6n ) @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V7m ) )
= ( mono_2Ec_2Earithmetic_2E_3C_3D @ V6n @ V7m ) )
& ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V6n ) @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V7m ) )
<=> ( (~) @ ( mono_2Ec_2Earithmetic_2E_3C_3D @ V7m @ V6n ) ) )
& ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V6n ) @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V7m ) )
= ( mono_2Ec_2Earithmetic_2E_3C_3D @ V6n @ V7m ) ) )
& ! [V8n: mono_2Etyop_2Enum_2Enum,V9m: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2E_2D @ V8n @ V9m ) )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Eprim__rec_2E_3C @ V9m @ V8n ) @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Enumeral_2EiSUB @ mono_2Ec_2Ebool_2ET @ V8n @ V9m ) ) @ mono_2Ec_2Enum_2E0 ) )
& ! [V10b: $o,V11n: mono_2Etyop_2Enum_2Enum,V12m: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Enumeral_2EiSUB @ V10b @ mono_2Ec_2Earithmetic_2EZERO @ V0x )
= mono_2Ec_2Earithmetic_2EZERO )
& ( ( mono_2Ec_2Enumeral_2EiSUB @ mono_2Ec_2Ebool_2ET @ V11n @ mono_2Ec_2Earithmetic_2EZERO )
= V11n )
& ( ( mono_2Ec_2Enumeral_2EiSUB @ mono_2Ec_2Ebool_2EF @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V11n ) @ mono_2Ec_2Earithmetic_2EZERO )
= ( mono_2Ec_2Enumeral_2EiDUB @ V11n ) )
& ( ( mono_2Ec_2Enumeral_2EiSUB @ mono_2Ec_2Ebool_2ET @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V11n ) @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V12m ) )
= ( mono_2Ec_2Enumeral_2EiDUB @ ( mono_2Ec_2Enumeral_2EiSUB @ mono_2Ec_2Ebool_2ET @ V11n @ V12m ) ) )
& ( ( mono_2Ec_2Enumeral_2EiSUB @ mono_2Ec_2Ebool_2EF @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V11n ) @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V12m ) )
= ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Enumeral_2EiSUB @ mono_2Ec_2Ebool_2EF @ V11n @ V12m ) ) )
& ( ( mono_2Ec_2Enumeral_2EiSUB @ mono_2Ec_2Ebool_2ET @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V11n ) @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V12m ) )
= ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Enumeral_2EiSUB @ mono_2Ec_2Ebool_2EF @ V11n @ V12m ) ) )
& ( ( mono_2Ec_2Enumeral_2EiSUB @ mono_2Ec_2Ebool_2EF @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V11n ) @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V12m ) )
= ( mono_2Ec_2Enumeral_2EiDUB @ ( mono_2Ec_2Enumeral_2EiSUB @ mono_2Ec_2Ebool_2EF @ V11n @ V12m ) ) )
& ( ( mono_2Ec_2Enumeral_2EiSUB @ mono_2Ec_2Ebool_2EF @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V11n ) @ mono_2Ec_2Earithmetic_2EZERO )
= ( mono_2Ec_2Earithmetic_2EBIT1 @ V11n ) )
& ( ( mono_2Ec_2Enumeral_2EiSUB @ mono_2Ec_2Ebool_2ET @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V11n ) @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V12m ) )
= ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Enumeral_2EiSUB @ mono_2Ec_2Ebool_2ET @ V11n @ V12m ) ) )
& ( ( mono_2Ec_2Enumeral_2EiSUB @ mono_2Ec_2Ebool_2EF @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V11n ) @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V12m ) )
= ( mono_2Ec_2Enumeral_2EiDUB @ ( mono_2Ec_2Enumeral_2EiSUB @ mono_2Ec_2Ebool_2ET @ V11n @ V12m ) ) )
& ( ( mono_2Ec_2Enumeral_2EiSUB @ mono_2Ec_2Ebool_2ET @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V11n ) @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V12m ) )
= ( mono_2Ec_2Enumeral_2EiDUB @ ( mono_2Ec_2Enumeral_2EiSUB @ mono_2Ec_2Ebool_2ET @ V11n @ V12m ) ) )
& ( ( mono_2Ec_2Enumeral_2EiSUB @ mono_2Ec_2Ebool_2EF @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V11n ) @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V12m ) )
= ( mono_2Ec_2Earithmetic_2EBIT1 @ ( mono_2Ec_2Enumeral_2EiSUB @ mono_2Ec_2Ebool_2EF @ V11n @ V12m ) ) ) )
& ! [V13t: $o] :
( ( ( mono_2Ec_2Ebool_2ET
& V13t )
<=> V13t )
& ( ( V13t
& mono_2Ec_2Ebool_2ET )
<=> V13t )
& ( ( mono_2Ec_2Ebool_2EF
& V13t )
<=> mono_2Ec_2Ebool_2EF )
& ( ( V13t
& mono_2Ec_2Ebool_2EF )
<=> mono_2Ec_2Ebool_2EF )
& ( ( V13t
& V13t )
<=> V13t ) ) ) ).
%------------------------------------------------------------------------------