%------------------------------------------------------------------------------
% File     : ITP126^4 : 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    : rat.ax [Gau19]
%          : HL4126^4.ax [TPAP]

% Status   : Satisfiable
% Syntax   : Number of formulae    :  942 ( 377 unt; 428 typ;   0 def)
%            Number of atoms       :  978 ( 612 equ;  47 cnn)
%            Maximal formula atoms :   12 (   1 avg)
%            Number of connectives : 6061 (  47   ~;  15   |;  81   &;5766   @)
%                                         (  73 <=>;  79  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg;5766 nst)
%            Number of types       :    9 (   8 usr)
%            Number of type conns  : 1350 (1350   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  422 ( 420 usr;  98 con; 0-4 aty)
%            Number of variables   :  892 (   0   ^ 882   !;  10   ?; 892   :)
% 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_2Efrac_2Efrac,type,
    mono_2Etyop_2Efrac_2Efrac: $tType ).

thf(mono_2Etyop_2Einteger_2Eint,type,
    mono_2Etyop_2Einteger_2Eint: $tType ).

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

thf(mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,type,
    mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: $tType ).

thf(mono_2Etyop_2Erat_2Erat,type,
    mono_2Etyop_2Erat_2Erat: $tType ).

thf(tyop_2Efrac_2Efrac,type,
    tyop_2Efrac_2Efrac: d ).

thf(tyop_2Einteger_2Eint,type,
    tyop_2Einteger_2Eint: d ).

thf(tyop_2Emin_2Ebool,type,
    tyop_2Emin_2Ebool: d ).

thf(tyop_2Emin_2Efun,type,
    tyop_2Emin_2Efun: d > d > d ).

thf(tyop_2Enum_2Enum,type,
    tyop_2Enum_2Enum: d ).

thf(tyop_2Epair_2Eprod,type,
    tyop_2Epair_2Eprod: d > d > d ).

thf(tyop_2Erat_2Erat,type,
    tyop_2Erat_2Erat: 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_2Epair_2E_2C_2E0,type,
    c_2Epair_2E_2C_2E0: u ).

thf(c_2Epair_2E_2C_2E2,type,
    c_2Epair_2E_2C_2E2: du > du > u ).

thf(c_2Earithmetic_2E_2D_2E0,type,
    c_2Earithmetic_2E_2D_2E0: u ).

thf(c_2Earithmetic_2E_2D_2E2,type,
    c_2Earithmetic_2E_2D_2E2: du > du > u ).

thf(c_2Ebool_2E_2F_5C_2E0,type,
    c_2Ebool_2E_2F_5C_2E0: u ).

thf(c_2Ebool_2E_2F_5C_2E2,type,
    c_2Ebool_2E_2F_5C_2E2: du > du > u ).

thf(c_2Enum_2E0_2E0,type,
    c_2Enum_2E0_2E0: u ).

thf(c_2Eprim__rec_2E_3C_2E0,type,
    c_2Eprim__rec_2E_3C_2E0: u ).

thf(c_2Eprim__rec_2E_3C_2E2,type,
    c_2Eprim__rec_2E_3C_2E2: du > du > u ).

thf(c_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_2Einteger_2EABS_2E0,type,
    c_2Einteger_2EABS_2E0: u ).

thf(c_2Einteger_2EABS_2E1,type,
    c_2Einteger_2EABS_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_2Ebool_2EF_2E0,type,
    c_2Ebool_2EF_2E0: u ).

thf(c_2Ecombin_2EI_2E0,type,
    c_2Ecombin_2EI_2E0: u ).

thf(c_2Ecombin_2EI_2E1,type,
    c_2Ecombin_2EI_2E1: du > u ).

thf(c_2Earithmetic_2ENUMERAL_2E0,type,
    c_2Earithmetic_2ENUMERAL_2E0: u ).

thf(c_2Earithmetic_2ENUMERAL_2E1,type,
    c_2Earithmetic_2ENUMERAL_2E1: du > u ).

thf(c_2Einteger_2ENum_2E0,type,
    c_2Einteger_2ENum_2E0: u ).

thf(c_2Einteger_2ENum_2E1,type,
    c_2Einteger_2ENum_2E1: du > u ).

thf(c_2Ebool_2EONE__ONE_2E0,type,
    c_2Ebool_2EONE__ONE_2E0: u ).

thf(c_2Ebool_2EONE__ONE_2E1,type,
    c_2Ebool_2EONE__ONE_2E1: du > u ).

thf(c_2Equotient_2EQUOTIENT_2E0,type,
    c_2Equotient_2EQUOTIENT_2E0: u ).

thf(c_2Equotient_2EQUOTIENT_2E3,type,
    c_2Equotient_2EQUOTIENT_2E3: du > du > du > u ).

thf(c_2Erat_2ERATD_2E0,type,
    c_2Erat_2ERATD_2E0: u ).

thf(c_2Erat_2ERATD_2E1,type,
    c_2Erat_2ERATD_2E1: du > u ).

thf(c_2Erat_2ERATN_2E0,type,
    c_2Erat_2ERATN_2E0: u ).

thf(c_2Erat_2ERATN_2E1,type,
    c_2Erat_2ERATN_2E1: du > u ).

thf(c_2EintExtension_2ESGN_2E0,type,
    c_2EintExtension_2ESGN_2E0: u ).

thf(c_2EintExtension_2ESGN_2E1,type,
    c_2EintExtension_2ESGN_2E1: du > u ).

thf(c_2Enum_2ESUC_2E0,type,
    c_2Enum_2ESUC_2E0: u ).

thf(c_2Enum_2ESUC_2E1,type,
    c_2Enum_2ESUC_2E1: du > u ).

thf(c_2Ebool_2ET_2E0,type,
    c_2Ebool_2ET_2E0: u ).

thf(c_2Ebool_2ETYPE__DEFINITION_2E0,type,
    c_2Ebool_2ETYPE__DEFINITION_2E0: u ).

thf(c_2Ebool_2ETYPE__DEFINITION_2E2,type,
    c_2Ebool_2ETYPE__DEFINITION_2E2: du > du > u ).

thf(c_2Erelation_2EWF_2E0,type,
    c_2Erelation_2EWF_2E0: u ).

thf(c_2Erelation_2EWF_2E1,type,
    c_2Erelation_2EWF_2E1: du > u ).

thf(c_2Erelation_2EWFREC_2E0,type,
    c_2Erelation_2EWFREC_2E0: u ).

thf(c_2Erelation_2EWFREC_2E2,type,
    c_2Erelation_2EWFREC_2E2: du > du > u ).

thf(c_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_2Efrac_2Eabs__frac_2E0,type,
    c_2Efrac_2Eabs__frac_2E0: u ).

thf(c_2Efrac_2Eabs__frac_2E1,type,
    c_2Efrac_2Eabs__frac_2E1: du > u ).

thf(c_2Erat_2Eabs__rat_2E0,type,
    c_2Erat_2Eabs__rat_2E0: u ).

thf(c_2Erat_2Eabs__rat_2E1,type,
    c_2Erat_2Eabs__rat_2E1: du > u ).

thf(c_2Erat_2Eabs__rat__CLASS_2E0,type,
    c_2Erat_2Eabs__rat__CLASS_2E0: u ).

thf(c_2Erat_2Eabs__rat__CLASS_2E1,type,
    c_2Erat_2Eabs__rat__CLASS_2E1: du > u ).

thf(c_2Efrac_2Efrac__0_2E0,type,
    c_2Efrac_2Efrac__0_2E0: u ).

thf(c_2Efrac_2Efrac__1_2E0,type,
    c_2Efrac_2Efrac__1_2E0: u ).

thf(c_2Efrac_2Efrac__add_2E0,type,
    c_2Efrac_2Efrac__add_2E0: u ).

thf(c_2Efrac_2Efrac__add_2E2,type,
    c_2Efrac_2Efrac__add_2E2: du > du > u ).

thf(c_2Efrac_2Efrac__ainv_2E0,type,
    c_2Efrac_2Efrac__ainv_2E0: u ).

thf(c_2Efrac_2Efrac__ainv_2E1,type,
    c_2Efrac_2Efrac__ainv_2E1: du > u ).

thf(c_2Efrac_2Efrac__div_2E0,type,
    c_2Efrac_2Efrac__div_2E0: u ).

thf(c_2Efrac_2Efrac__div_2E2,type,
    c_2Efrac_2Efrac__div_2E2: du > du > u ).

thf(c_2Efrac_2Efrac__dnm_2E0,type,
    c_2Efrac_2Efrac__dnm_2E0: u ).

thf(c_2Efrac_2Efrac__dnm_2E1,type,
    c_2Efrac_2Efrac__dnm_2E1: du > u ).

thf(c_2Efrac_2Efrac__minv_2E0,type,
    c_2Efrac_2Efrac__minv_2E0: u ).

thf(c_2Efrac_2Efrac__minv_2E1,type,
    c_2Efrac_2Efrac__minv_2E1: du > u ).

thf(c_2Efrac_2Efrac__mul_2E0,type,
    c_2Efrac_2Efrac__mul_2E0: u ).

thf(c_2Efrac_2Efrac__mul_2E2,type,
    c_2Efrac_2Efrac__mul_2E2: du > du > u ).

thf(c_2Efrac_2Efrac__nmr_2E0,type,
    c_2Efrac_2Efrac__nmr_2E0: u ).

thf(c_2Efrac_2Efrac__nmr_2E1,type,
    c_2Efrac_2Efrac__nmr_2E1: du > u ).

thf(c_2Efrac_2Efrac__save_2E0,type,
    c_2Efrac_2Efrac__save_2E0: u ).

thf(c_2Efrac_2Efrac__save_2E2,type,
    c_2Efrac_2Efrac__save_2E2: du > du > u ).

thf(c_2Efrac_2Efrac__sgn_2E0,type,
    c_2Efrac_2Efrac__sgn_2E0: u ).

thf(c_2Efrac_2Efrac__sgn_2E1,type,
    c_2Efrac_2Efrac__sgn_2E1: du > u ).

thf(c_2Efrac_2Efrac__sub_2E0,type,
    c_2Efrac_2Efrac__sub_2E0: u ).

thf(c_2Efrac_2Efrac__sub_2E2,type,
    c_2Efrac_2Efrac__sub_2E2: du > du > 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_2Einteger_2Eint__gt_2E0,type,
    c_2Einteger_2Eint__gt_2E0: u ).

thf(c_2Einteger_2Eint__gt_2E2,type,
    c_2Einteger_2Eint__gt_2E2: du > du > u ).

thf(c_2Einteger_2Eint__le_2E0,type,
    c_2Einteger_2Eint__le_2E0: u ).

thf(c_2Einteger_2Eint__le_2E2,type,
    c_2Einteger_2Eint__le_2E2: du > du > u ).

thf(c_2Einteger_2Eint__lt_2E0,type,
    c_2Einteger_2Eint__lt_2E0: u ).

thf(c_2Einteger_2Eint__lt_2E2,type,
    c_2Einteger_2Eint__lt_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_2Einteger_2Eint__sub_2E0,type,
    c_2Einteger_2Eint__sub_2E0: u ).

thf(c_2Einteger_2Eint__sub_2E2,type,
    c_2Einteger_2Eint__sub_2E2: du > du > u ).

thf(c_2Earithmetic_2Enum__CASE_2E0,type,
    c_2Earithmetic_2Enum__CASE_2E0: u ).

thf(c_2Earithmetic_2Enum__CASE_2E3,type,
    c_2Earithmetic_2Enum__CASE_2E3: du > du > du > u ).

thf(c_2Erat_2Erat__0_2E0,type,
    c_2Erat_2Erat__0_2E0: u ).

thf(c_2Erat_2Erat__1_2E0,type,
    c_2Erat_2Erat__1_2E0: u ).

thf(c_2Erat_2Erat__add_2E0,type,
    c_2Erat_2Erat__add_2E0: u ).

thf(c_2Erat_2Erat__add_2E1,type,
    c_2Erat_2Erat__add_2E1: du > u ).

thf(c_2Erat_2Erat__add_2E2,type,
    c_2Erat_2Erat__add_2E2: du > du > u ).

thf(c_2Erat_2Erat__ainv_2E0,type,
    c_2Erat_2Erat__ainv_2E0: u ).

thf(c_2Erat_2Erat__ainv_2E1,type,
    c_2Erat_2Erat__ainv_2E1: du > u ).

thf(c_2Erat_2Erat__cons_2E0,type,
    c_2Erat_2Erat__cons_2E0: u ).

thf(c_2Erat_2Erat__cons_2E2,type,
    c_2Erat_2Erat__cons_2E2: du > du > u ).

thf(c_2Erat_2Erat__div_2E0,type,
    c_2Erat_2Erat__div_2E0: u ).

thf(c_2Erat_2Erat__div_2E2,type,
    c_2Erat_2Erat__div_2E2: du > du > u ).

thf(c_2Erat_2Erat__dnm_2E0,type,
    c_2Erat_2Erat__dnm_2E0: u ).

thf(c_2Erat_2Erat__dnm_2E1,type,
    c_2Erat_2Erat__dnm_2E1: du > u ).

thf(c_2Erat_2Erat__equiv_2E0,type,
    c_2Erat_2Erat__equiv_2E0: u ).

thf(c_2Erat_2Erat__equiv_2E1,type,
    c_2Erat_2Erat__equiv_2E1: du > u ).

thf(c_2Erat_2Erat__equiv_2E2,type,
    c_2Erat_2Erat__equiv_2E2: du > du > u ).

thf(c_2Erat_2Erat__geq_2E0,type,
    c_2Erat_2Erat__geq_2E0: u ).

thf(c_2Erat_2Erat__geq_2E2,type,
    c_2Erat_2Erat__geq_2E2: du > du > u ).

thf(c_2Erat_2Erat__gre_2E0,type,
    c_2Erat_2Erat__gre_2E0: u ).

thf(c_2Erat_2Erat__gre_2E2,type,
    c_2Erat_2Erat__gre_2E2: du > du > u ).

thf(c_2Erat_2Erat__leq_2E0,type,
    c_2Erat_2Erat__leq_2E0: u ).

thf(c_2Erat_2Erat__leq_2E2,type,
    c_2Erat_2Erat__leq_2E2: du > du > u ).

thf(c_2Erat_2Erat__les_2E0,type,
    c_2Erat_2Erat__les_2E0: u ).

thf(c_2Erat_2Erat__les_2E2,type,
    c_2Erat_2Erat__les_2E2: du > du > u ).

thf(c_2Erat_2Erat__max_2E0,type,
    c_2Erat_2Erat__max_2E0: u ).

thf(c_2Erat_2Erat__max_2E2,type,
    c_2Erat_2Erat__max_2E2: du > du > u ).

thf(c_2Erat_2Erat__min_2E0,type,
    c_2Erat_2Erat__min_2E0: u ).

thf(c_2Erat_2Erat__min_2E2,type,
    c_2Erat_2Erat__min_2E2: du > du > u ).

thf(c_2Erat_2Erat__minv_2E0,type,
    c_2Erat_2Erat__minv_2E0: u ).

thf(c_2Erat_2Erat__minv_2E1,type,
    c_2Erat_2Erat__minv_2E1: du > u ).

thf(c_2Erat_2Erat__mul_2E0,type,
    c_2Erat_2Erat__mul_2E0: u ).

thf(c_2Erat_2Erat__mul_2E1,type,
    c_2Erat_2Erat__mul_2E1: du > u ).

thf(c_2Erat_2Erat__mul_2E2,type,
    c_2Erat_2Erat__mul_2E2: du > du > u ).

thf(c_2Erat_2Erat__nmr_2E0,type,
    c_2Erat_2Erat__nmr_2E0: u ).

thf(c_2Erat_2Erat__nmr_2E1,type,
    c_2Erat_2Erat__nmr_2E1: du > u ).

thf(c_2Erat_2Erat__of__int_2E0,type,
    c_2Erat_2Erat__of__int_2E0: u ).

thf(c_2Erat_2Erat__of__int_2E1,type,
    c_2Erat_2Erat__of__int_2E1: du > u ).

thf(c_2Erat_2Erat__of__num_2E0,type,
    c_2Erat_2Erat__of__num_2E0: u ).

thf(c_2Erat_2Erat__of__num_2E1,type,
    c_2Erat_2Erat__of__num_2E1: du > u ).

thf(c_2Erat_2Erat__sgn_2E0,type,
    c_2Erat_2Erat__sgn_2E0: u ).

thf(c_2Erat_2Erat__sgn_2E1,type,
    c_2Erat_2Erat__sgn_2E1: du > u ).

thf(c_2Erat_2Erat__sub_2E0,type,
    c_2Erat_2Erat__sub_2E0: u ).

thf(c_2Erat_2Erat__sub_2E2,type,
    c_2Erat_2Erat__sub_2E2: du > du > u ).

thf(c_2Erat_2Erep__rat_2E0,type,
    c_2Erat_2Erep__rat_2E0: u ).

thf(c_2Erat_2Erep__rat_2E1,type,
    c_2Erat_2Erep__rat_2E1: du > u ).

thf(c_2Erat_2Erep__rat__CLASS_2E0,type,
    c_2Erat_2Erep__rat__CLASS_2E0: u ).

thf(c_2Erat_2Erep__rat__CLASS_2E1,type,
    c_2Erat_2Erep__rat__CLASS_2E1: 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_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_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29: ( $o > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ) > $o > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Eapp_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Efrac_2Efrac > $o ) > mono_2Etyop_2Efrac_2Efrac > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Efrac_2Efrac,type,
    mono_2Eapp_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Efrac_2Efrac: ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac ) > mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac ).

thf(mono_2Eapp_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > $o ) > mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29,type,
    mono_2Eapp_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29: ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac ) > mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac ).

thf(mono_2Eapp_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Einteger_2Eint,type,
    mono_2Eapp_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Einteger_2Eint: ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Einteger_2Eint ).

thf(mono_2Eapp_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat,type,
    mono_2Eapp_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat: ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Efrac_2Efrac > $o ) > $o ) > ( mono_2Etyop_2Efrac_2Efrac > $o ) > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Efrac_2Efrac,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Efrac_2Efrac: ( ( mono_2Etyop_2Efrac_2Efrac > $o ) > mono_2Etyop_2Efrac_2Efrac ) > ( mono_2Etyop_2Efrac_2Efrac > $o ) > mono_2Etyop_2Efrac_2Efrac ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat: ( ( mono_2Etyop_2Efrac_2Efrac > $o ) > mono_2Etyop_2Erat_2Erat ) > ( mono_2Etyop_2Efrac_2Efrac > $o ) > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > $o ) > ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ) > $o ) > ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > $o ) > ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ) > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ) > $o ) > ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ) > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: ( ( ( mono_2Etyop_2Efrac_2Efrac > $o ) > $o ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o ) > $o ) > ( ( mono_2Etyop_2Efrac_2Efrac > $o ) > $o ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o ) > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29: ( ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Erat_2Erat,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Erat_2Erat: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ) > $o ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ) > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o ) > $o ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o ) > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ) > $o ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ) > $o ).

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_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ).

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_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ).

thf(mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29,type,
    mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29,type,
    mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Efrac_2Efrac ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Efrac_2Efrac ).

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_2Enum_2Enum,type,
    mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,type,
    mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ).

thf(mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Erat_2Erat,type,
    mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Erat_2Erat: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Erat_2Erat ).

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_2Efrac_2Efrac,type,
    mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Efrac_2Efrac: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Efrac_2Efrac ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Efrac_2Efrac ).

thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
    mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat ).

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_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat,type,
    mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_20mono_2Etyop_2Efrac_2Efrac,type,
    mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_20mono_2Etyop_2Efrac_2Efrac: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Efrac_2Efrac ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Efrac_2Efrac ).

thf(mono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Erat_2Erat > $o ) > mono_2Etyop_2Erat_2Erat > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Efrac_2Efrac,type,
    mono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Efrac_2Efrac: ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ) > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ).

thf(mono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o ) > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29,type,
    mono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29: ( mono_2Etyop_2Erat_2Erat > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > $o ) > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29,type,
    mono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29: ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Einteger_2Eint,type,
    mono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Einteger_2Eint: ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Einteger_2Eint ).

thf(mono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Enum_2Enum,type,
    mono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat,type,
    mono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat: ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ).

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_2Epair_2E_2C_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint,type,
    mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ).

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_2Emin_2E_40_2Emono_2Etyop_2Efrac_2Efrac,type,
    mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Efrac_2Efrac: ( mono_2Etyop_2Efrac_2Efrac > $o ) > mono_2Etyop_2Efrac_2Efrac ).

thf(mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).

thf(mono_2Ec_2Einteger_2EABS,type,
    mono_2Ec_2Einteger_2EABS: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).

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_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_2Erat_2Erat,type,
    mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Erat_2Erat: $o > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Ec_2Ebool_2EF,type,
    mono_2Ec_2Ebool_2EF: $o ).

thf(mono_2Ec_2Ecombin_2EI_2Emono_2Etyop_2Erat_2Erat,type,
    mono_2Ec_2Ecombin_2EI_2Emono_2Etyop_2Erat_2Erat: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Ec_2Earithmetic_2ENUMERAL,type,
    mono_2Ec_2Earithmetic_2ENUMERAL: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2Einteger_2ENum,type,
    mono_2Ec_2Einteger_2ENum: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2Ebool_2EONE__ONE_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat,type,
    mono_2Ec_2Ebool_2EONE__ONE_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat: ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ) > $o ).

thf(mono_2Ec_2Equotient_2EQUOTIENT_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat,type,
    mono_2Ec_2Equotient_2EQUOTIENT_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat: ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > $o ) > ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ) > $o ).

thf(mono_2Ec_2Erat_2ERATD,type,
    mono_2Ec_2Erat_2ERATD: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2Erat_2ERATN,type,
    mono_2Ec_2Erat_2ERATN: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Einteger_2Eint ).

thf(mono_2Ec_2EintExtension_2ESGN,type,
    mono_2Ec_2EintExtension_2ESGN: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).

thf(mono_2Ec_2Enum_2ESUC,type,
    mono_2Ec_2Enum_2ESUC: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2Ebool_2ET,type,
    mono_2Ec_2Ebool_2ET: $o ).

thf(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat,type,
    mono_2Ec_2Ebool_2ETYPE__DEFINITION_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat: ( ( mono_2Etyop_2Efrac_2Efrac > $o ) > $o ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o ) > $o ).

thf(mono_2Ec_2Erelation_2EWF_2Emono_2Etyop_2Enum_2Enum,type,
    mono_2Ec_2Erelation_2EWF_2Emono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ).

thf(mono_2Ec_2Erelation_2EWFREC_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat,type,
    mono_2Ec_2Erelation_2EWFREC_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ).

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_2Efrac_2Eabs__frac,type,
    mono_2Ec_2Efrac_2Eabs__frac: mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Efrac_2Efrac ).

thf(mono_2Ec_2Erat_2Eabs__rat,type,
    mono_2Ec_2Erat_2Eabs__rat: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Ec_2Erat_2Eabs__rat__CLASS,type,
    mono_2Ec_2Erat_2Eabs__rat__CLASS: ( mono_2Etyop_2Efrac_2Efrac > $o ) > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Ec_2Efrac_2Efrac__0,type,
    mono_2Ec_2Efrac_2Efrac__0: mono_2Etyop_2Efrac_2Efrac ).

thf(mono_2Ec_2Efrac_2Efrac__1,type,
    mono_2Ec_2Efrac_2Efrac__1: mono_2Etyop_2Efrac_2Efrac ).

thf(mono_2Ec_2Efrac_2Efrac__add,type,
    mono_2Ec_2Efrac_2Efrac__add: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac ).

thf(mono_2Ec_2Efrac_2Efrac__ainv,type,
    mono_2Ec_2Efrac_2Efrac__ainv: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac ).

thf(mono_2Ec_2Efrac_2Efrac__div,type,
    mono_2Ec_2Efrac_2Efrac__div: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac ).

thf(mono_2Ec_2Efrac_2Efrac__dnm,type,
    mono_2Ec_2Efrac_2Efrac__dnm: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Einteger_2Eint ).

thf(mono_2Ec_2Efrac_2Efrac__minv,type,
    mono_2Ec_2Efrac_2Efrac__minv: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac ).

thf(mono_2Ec_2Efrac_2Efrac__mul,type,
    mono_2Ec_2Efrac_2Efrac__mul: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac ).

thf(mono_2Ec_2Efrac_2Efrac__nmr,type,
    mono_2Ec_2Efrac_2Efrac__nmr: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Einteger_2Eint ).

thf(mono_2Ec_2Efrac_2Efrac__save,type,
    mono_2Ec_2Efrac_2Efrac__save: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Efrac_2Efrac ).

thf(mono_2Ec_2Efrac_2Efrac__sgn,type,
    mono_2Ec_2Efrac_2Efrac__sgn: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Einteger_2Eint ).

thf(mono_2Ec_2Efrac_2Efrac__sub,type,
    mono_2Ec_2Efrac_2Efrac__sub: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac ).

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_2Einteger_2Eint__gt,type,
    mono_2Ec_2Einteger_2Eint__gt: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ).

thf(mono_2Ec_2Einteger_2Eint__le,type,
    mono_2Ec_2Einteger_2Eint__le: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ).

thf(mono_2Ec_2Einteger_2Eint__lt,type,
    mono_2Ec_2Einteger_2Eint__lt: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ).

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_2Einteger_2Eint__sub,type,
    mono_2Ec_2Einteger_2Eint__sub: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).

thf(mono_2Ec_2Earithmetic_2Enum__CASE_2Emono_2Etyop_2Erat_2Erat,type,
    mono_2Ec_2Earithmetic_2Enum__CASE_2Emono_2Etyop_2Erat_2Erat: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Ec_2Erat_2Erat__0,type,
    mono_2Ec_2Erat_2Erat__0: mono_2Etyop_2Erat_2Erat ).

thf(mono_2Ec_2Erat_2Erat__1,type,
    mono_2Ec_2Erat_2Erat__1: mono_2Etyop_2Erat_2Erat ).

thf(mono_2Ec_2Erat_2Erat__add,type,
    mono_2Ec_2Erat_2Erat__add: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Ec_2Erat_2Erat__ainv,type,
    mono_2Ec_2Erat_2Erat__ainv: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Ec_2Erat_2Erat__cons,type,
    mono_2Ec_2Erat_2Erat__cons: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Ec_2Erat_2Erat__div,type,
    mono_2Ec_2Erat_2Erat__div: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Ec_2Erat_2Erat__dnm,type,
    mono_2Ec_2Erat_2Erat__dnm: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Einteger_2Eint ).

thf(mono_2Ec_2Erat_2Erat__equiv,type,
    mono_2Ec_2Erat_2Erat__equiv: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > $o ).

thf(mono_2Ec_2Erat_2Erat__geq,type,
    mono_2Ec_2Erat_2Erat__geq: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > $o ).

thf(mono_2Ec_2Erat_2Erat__gre,type,
    mono_2Ec_2Erat_2Erat__gre: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > $o ).

thf(mono_2Ec_2Erat_2Erat__leq,type,
    mono_2Ec_2Erat_2Erat__leq: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > $o ).

thf(mono_2Ec_2Erat_2Erat__les,type,
    mono_2Ec_2Erat_2Erat__les: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > $o ).

thf(mono_2Ec_2Erat_2Erat__max,type,
    mono_2Ec_2Erat_2Erat__max: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Ec_2Erat_2Erat__min,type,
    mono_2Ec_2Erat_2Erat__min: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Ec_2Erat_2Erat__minv,type,
    mono_2Ec_2Erat_2Erat__minv: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Ec_2Erat_2Erat__mul,type,
    mono_2Ec_2Erat_2Erat__mul: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Ec_2Erat_2Erat__nmr,type,
    mono_2Ec_2Erat_2Erat__nmr: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Einteger_2Eint ).

thf(mono_2Ec_2Erat_2Erat__of__int,type,
    mono_2Ec_2Erat_2Erat__of__int: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Ec_2Erat_2Erat__of__num,type,
    mono_2Ec_2Erat_2Erat__of__num: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Ec_2Erat_2Erat__sgn,type,
    mono_2Ec_2Erat_2Erat__sgn: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Einteger_2Eint ).

thf(mono_2Ec_2Erat_2Erat__sub,type,
    mono_2Ec_2Erat_2Erat__sub: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ).

thf(mono_2Ec_2Erat_2Erep__rat,type,
    mono_2Ec_2Erat_2Erep__rat: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ).

thf(mono_2Ec_2Erat_2Erep__rat__CLASS,type,
    mono_2Ec_2Erat_2Erep__rat__CLASS: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o ).

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_2Efrac_2Efrac,type,
    i_mono_2Etyop_2Efrac_2Efrac: mono_2Etyop_2Efrac_2Efrac > 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_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_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29: ( $o > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Efrac_2Efrac > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29: ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29: ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Einteger_2Eint ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29: ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Efrac_2Efrac > $o ) > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29: ( ( mono_2Etyop_2Efrac_2Efrac > $o ) > mono_2Etyop_2Efrac_2Efrac ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29: ( ( mono_2Etyop_2Efrac_2Efrac > $o ) > mono_2Etyop_2Erat_2Erat ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29: ( ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > $o ) > ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ) > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ) > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29: ( ( ( mono_2Etyop_2Efrac_2Efrac > $o ) > $o ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o ) > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29: ( ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29: ( ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ) > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o ) > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ) > $o ) > 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_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ) > 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_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Erat_2Erat ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Efrac_2Efrac ) > 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_2Enum_2Enum_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Erat_2Erat ) > 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_2Efrac_2Efrac_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Efrac_2Efrac ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat ) > 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_2Enum_2Enum_2Ctyop_2Erat_2Erat_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Efrac_2Efrac ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Erat_2Erat > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29: ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29: ( mono_2Etyop_2Erat_2Erat > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29: ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Einteger_2Eint ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Enum_2Enum ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29: ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ) > u ).

thf(i_mono_2Etyop_2Einteger_2Eint,type,
    i_mono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Einteger_2Eint > u ).

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

thf(i_mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,type,
    i_mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > u ).

thf(i_mono_2Etyop_2Erat_2Erat,type,
    i_mono_2Etyop_2Erat_2Erat: mono_2Etyop_2Erat_2Erat > u ).

thf(j_mono_2Etyop_2Emin_2Ebool,type,
    j_mono_2Etyop_2Emin_2Ebool: du > $o ).

thf(j_mono_2Etyop_2Efrac_2Efrac,type,
    j_mono_2Etyop_2Efrac_2Efrac: du > mono_2Etyop_2Efrac_2Efrac ).

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_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_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29: du > $o > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Efrac_2Efrac > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29: du > mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29: du > mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29: du > mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Einteger_2Eint ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29: du > mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Efrac_2Efrac > $o ) > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29: du > ( mono_2Etyop_2Efrac_2Efrac > $o ) > mono_2Etyop_2Efrac_2Efrac ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29: du > ( mono_2Etyop_2Efrac_2Efrac > $o ) > mono_2Etyop_2Erat_2Erat ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29: du > ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > $o ) > ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ) > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ) > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29: du > ( ( mono_2Etyop_2Efrac_2Efrac > $o ) > $o ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o ) > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29: du > ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29: du > ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29: du > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29: du > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29: du > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ) > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o ) > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ) > $o ).

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_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ).

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_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Erat_2Erat ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Efrac_2Efrac ).

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_2Enum_2Enum_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Erat_2Erat ).

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_2Efrac_2Efrac_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Efrac_2Efrac ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat ).

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_2Enum_2Enum_2Ctyop_2Erat_2Erat_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Efrac_2Efrac ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Erat_2Erat > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29: du > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29: du > mono_2Etyop_2Erat_2Erat > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29: du > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29: du > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Einteger_2Eint ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Enum_2Enum ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29: du > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ).

thf(j_mono_2Etyop_2Einteger_2Eint,type,
    j_mono_2Etyop_2Einteger_2Eint: du > mono_2Etyop_2Einteger_2Eint ).

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

thf(j_mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,type,
    j_mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ).

thf(j_mono_2Etyop_2Erat_2Erat,type,
    j_mono_2Etyop_2Erat_2Erat: du > mono_2Etyop_2Erat_2Erat ).

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_2Efrac_2Efrac,axiom,
    ! [V0_2E0: u] :
      ( ( s @ tyop_2Efrac_2Efrac @ ( i_mono_2Etyop_2Efrac_2Efrac @ ( j_mono_2Etyop_2Efrac_2Efrac @ ( s @ tyop_2Efrac_2Efrac @ V0_2E0 ) ) ) )
      = ( s @ tyop_2Efrac_2Efrac @ 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_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_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Efrac_2Efrac ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Efrac_2Efrac ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Efrac_2Efrac ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Efrac_2Efrac ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Efrac_2Efrac ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Efrac_2Efrac ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Einteger_2Eint ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Einteger_2Eint ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Erat_2Erat ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Erat_2Erat ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Efrac_2Efrac ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Efrac_2Efrac ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Efrac_2Efrac ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Erat_2Erat ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Erat_2Erat ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ tyop_2Erat_2Erat ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ tyop_2Erat_2Erat ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) @ tyop_2Emin_2Ebool ) @ 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_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ 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_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Erat_2Erat ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Erat_2Erat ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Erat_2Erat ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Efrac_2Efrac ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Efrac_2Efrac ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Efrac_2Efrac ) ) @ 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_2Enum_2Enum_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Erat_2Erat ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Erat_2Erat ) @ 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_2Efrac_2Efrac_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Efrac_2Efrac ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Efrac_2Efrac ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Efrac_2Efrac ) @ V0_2E0 ) ) ).

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

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ tyop_2Erat_2Erat ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ tyop_2Erat_2Erat ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ tyop_2Erat_2Erat ) ) ) @ 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_2Enum_2Enum_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ tyop_2Efrac_2Efrac ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ tyop_2Efrac_2Efrac ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ tyop_2Efrac_2Efrac ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ tyop_2Erat_2Erat ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ tyop_2Erat_2Erat ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ tyop_2Erat_2Erat ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Einteger_2Eint ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Einteger_2Eint ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) @ 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_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_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ ( j_mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Erat_2Erat,axiom,
    ! [V0_2E0: u] :
      ( ( s @ tyop_2Erat_2Erat @ ( i_mono_2Etyop_2Erat_2Erat @ ( j_mono_2Etyop_2Erat_2Erat @ ( s @ tyop_2Erat_2Erat @ V0_2E0 ) ) ) )
      = ( s @ tyop_2Erat_2Erat @ 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_2Efrac_2Efrac,axiom,
    ! [V0: mono_2Etyop_2Efrac_2Efrac] :
      ( ( j_mono_2Etyop_2Efrac_2Efrac @ ( s @ tyop_2Efrac_2Efrac @ ( i_mono_2Etyop_2Efrac_2Efrac @ 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_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_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29,axiom,
    ! [V0: $o > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: mono_2Etyop_2Efrac_2Efrac > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29,axiom,
    ! [V0: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Efrac_2Efrac ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29,axiom,
    ! [V0: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Efrac_2Efrac ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29,axiom,
    ! [V0: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Einteger_2Eint] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: ( mono_2Etyop_2Efrac_2Efrac > $o ) > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29,axiom,
    ! [V0: ( mono_2Etyop_2Efrac_2Efrac > $o ) > mono_2Etyop_2Efrac_2Efrac] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Efrac_2Efrac ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0: ( mono_2Etyop_2Efrac_2Efrac > $o ) > mono_2Etyop_2Erat_2Erat] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > $o ) > ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ) > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ) > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: ( ( mono_2Etyop_2Efrac_2Efrac > $o ) > $o ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o ) > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ) > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o ) > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ) > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_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_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_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_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Erat_2Erat] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Erat_2Erat ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Efrac_2Efrac] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Efrac_2Efrac ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_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_2Enum_2Enum_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Erat_2Erat] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_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_2Efrac_2Efrac_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Efrac_2Efrac] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Efrac_2Efrac ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ tyop_2Erat_2Erat ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_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_2Enum_2Enum_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29,axiom,
    ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Efrac_2Efrac] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ tyop_2Efrac_2Efrac ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ tyop_2Erat_2Erat ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Einteger_2Eint] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Enum_2Enum] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29 @ 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_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_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,axiom,
    ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29] :
      ( ( j_mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Erat_2Erat,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat] :
      ( ( j_mono_2Etyop_2Erat_2Erat @ ( s @ tyop_2Erat_2Erat @ ( i_mono_2Etyop_2Erat_2Erat @ 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(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_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_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0: $o > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat,V1: $o] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: mono_2Etyop_2Efrac_2Efrac > $o,V1: mono_2Etyop_2Efrac_2Efrac] :
      ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Efrac_2Efrac @ ( i_mono_2Etyop_2Efrac_2Efrac @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Efrac_2Efrac,axiom,
    ! [V0: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac,V1: mono_2Etyop_2Efrac_2Efrac] :
      ( ( s @ tyop_2Efrac_2Efrac @ ( i_mono_2Etyop_2Efrac_2Efrac @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Efrac_2Efrac @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Efrac_2Efrac ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29 @ V0 ) ) @ ( s @ tyop_2Efrac_2Efrac @ ( i_mono_2Etyop_2Efrac_2Efrac @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > $o,V1: mono_2Etyop_2Efrac_2Efrac] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Efrac_2Efrac @ ( i_mono_2Etyop_2Efrac_2Efrac @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29,axiom,
    ! [V0: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac,V1: mono_2Etyop_2Efrac_2Efrac] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Efrac_2Efrac ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Efrac_2Efrac ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Efrac_2Efrac ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29 @ V0 ) ) @ ( s @ tyop_2Efrac_2Efrac @ ( i_mono_2Etyop_2Efrac_2Efrac @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Einteger_2Eint,axiom,
    ! [V0: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Efrac_2Efrac] :
      ( ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Einteger_2Eint @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29 @ V0 ) ) @ ( s @ tyop_2Efrac_2Efrac @ ( i_mono_2Etyop_2Efrac_2Efrac @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat,V1: mono_2Etyop_2Efrac_2Efrac] :
      ( ( s @ tyop_2Erat_2Erat @ ( i_mono_2Etyop_2Erat_2Erat @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Erat_2Erat @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29 @ V0 ) ) @ ( s @ tyop_2Efrac_2Efrac @ ( i_mono_2Etyop_2Efrac_2Efrac @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: ( mono_2Etyop_2Efrac_2Efrac > $o ) > $o,V1: mono_2Etyop_2Efrac_2Efrac > $o] :
      ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Efrac_2Efrac,axiom,
    ! [V0: ( mono_2Etyop_2Efrac_2Efrac > $o ) > mono_2Etyop_2Efrac_2Efrac,V1: mono_2Etyop_2Efrac_2Efrac > $o] :
      ( ( s @ tyop_2Efrac_2Efrac @ ( i_mono_2Etyop_2Efrac_2Efrac @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Efrac_2Efrac @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Efrac_2Efrac ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0: ( mono_2Etyop_2Efrac_2Efrac > $o ) > mono_2Etyop_2Erat_2Erat,V1: mono_2Etyop_2Efrac_2Efrac > $o] :
      ( ( s @ tyop_2Erat_2Erat @ ( i_mono_2Etyop_2Erat_2Erat @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Erat_2Erat @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > $o ) > ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ) > $o,V1: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > $o] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ) > $o,V1: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: ( ( mono_2Etyop_2Efrac_2Efrac > $o ) > $o ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o ) > $o,V1: ( mono_2Etyop_2Efrac_2Efrac > $o ) > $o] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat,V1: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
      ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat] :
      ( ( s @ tyop_2Erat_2Erat @ ( i_mono_2Etyop_2Erat_2Erat @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Erat_2Erat @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ) > $o,V1: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac] :
      ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o ) > $o,V1: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o] :
      ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ) > $o,V1: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat] :
      ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29 @ 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_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o,V1: mono_2Etyop_2Einteger_2Eint] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_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_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Einteger_2Eint] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_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_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Erat_2Erat,V1: mono_2Etyop_2Einteger_2Eint] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Erat_2Erat ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Erat_2Erat ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_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_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Efrac_2Efrac,V1: mono_2Etyop_2Einteger_2Eint] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Efrac_2Efrac ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Efrac_2Efrac ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Efrac_2Efrac ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_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_2Enum_2Enum,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Einteger_2Eint] :
      ( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Einteger_2Eint] :
      ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_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_2Erat_2Erat,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Erat_2Erat,V1: mono_2Etyop_2Einteger_2Eint] :
      ( ( s @ tyop_2Erat_2Erat @ ( i_mono_2Etyop_2Erat_2Erat @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Erat_2Erat @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29 @ V0 ) ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ 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_2Efrac_2Efrac,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Efrac_2Efrac,V1: mono_2Etyop_2Enum_2Enum] :
      ( ( s @ tyop_2Efrac_2Efrac @ ( i_mono_2Etyop_2Efrac_2Efrac @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Efrac_2Efrac @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Efrac_2Efrac ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat,V1: mono_2Etyop_2Enum_2Enum] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ tyop_2Erat_2Erat ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ tyop_2Erat_2Erat ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ tyop_2Erat_2Erat ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_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_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat,V1: mono_2Etyop_2Enum_2Enum] :
      ( ( s @ tyop_2Erat_2Erat @ ( i_mono_2Etyop_2Erat_2Erat @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Erat_2Erat @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_20mono_2Etyop_2Efrac_2Efrac,axiom,
    ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Efrac_2Efrac,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29] :
      ( ( s @ tyop_2Efrac_2Efrac @ ( i_mono_2Etyop_2Efrac_2Efrac @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Efrac_2Efrac @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ tyop_2Efrac_2Efrac ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29 @ V0 ) ) @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > $o,V1: mono_2Etyop_2Erat_2Erat] :
      ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Erat_2Erat @ ( i_mono_2Etyop_2Erat_2Erat @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Efrac_2Efrac,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac,V1: mono_2Etyop_2Erat_2Erat] :
      ( ( s @ tyop_2Efrac_2Efrac @ ( i_mono_2Etyop_2Efrac_2Efrac @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Efrac_2Efrac @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29 @ V0 ) ) @ ( s @ tyop_2Erat_2Erat @ ( i_mono_2Etyop_2Erat_2Erat @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o,V1: mono_2Etyop_2Erat_2Erat] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Erat_2Erat @ ( i_mono_2Etyop_2Erat_2Erat @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat,V1: mono_2Etyop_2Erat_2Erat] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ tyop_2Erat_2Erat ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ tyop_2Erat_2Erat ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29 @ V0 ) ) @ ( s @ tyop_2Erat_2Erat @ ( i_mono_2Etyop_2Erat_2Erat @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > $o,V1: mono_2Etyop_2Erat_2Erat] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Erat_2Erat @ ( i_mono_2Etyop_2Erat_2Erat @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat,V1: mono_2Etyop_2Erat_2Erat] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29 @ V0 ) ) @ ( s @ tyop_2Erat_2Erat @ ( i_mono_2Etyop_2Erat_2Erat @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Einteger_2Eint,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Erat_2Erat] :
      ( ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Einteger_2Eint @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29 @ V0 ) ) @ ( s @ tyop_2Erat_2Erat @ ( i_mono_2Etyop_2Erat_2Erat @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Enum_2Enum,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Erat_2Erat] :
      ( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ tyop_2Erat_2Erat @ ( i_mono_2Etyop_2Erat_2Erat @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat,V1: mono_2Etyop_2Erat_2Erat] :
      ( ( s @ tyop_2Erat_2Erat @ ( i_mono_2Etyop_2Erat_2Erat @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Erat_2Erat @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29 @ V0 ) ) @ ( s @ tyop_2Erat_2Erat @ ( i_mono_2Etyop_2Erat_2Erat @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Ec_2Epair_2E_2C_2E0_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint ) )
    = ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ c_2Epair_2E_2C_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Einteger_2Eint] :
      ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint @ V0 @ V1 ) ) )
      = ( s @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V0 ) ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Efrac_2Efrac,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Efrac_2Efrac ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29 @ mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Efrac_2Efrac ) )
    = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Efrac_2Efrac ) @ c_2Emin_2E_40_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Efrac_2Efrac,axiom,
    ! [V0: mono_2Etyop_2Efrac_2Efrac > $o] :
      ( ( s @ tyop_2Efrac_2Efrac @ ( i_mono_2Etyop_2Efrac_2Efrac @ ( mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Efrac_2Efrac @ V0 ) ) )
      = ( s @ tyop_2Efrac_2Efrac @ ( c_2Emin_2E_40_2E1 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) ) ) ) ).

thf(monoeq_2Emono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ) )
    = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ c_2Emin_2E_40_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( c_2Emin_2E_40_2E1 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) ) ) ) ).

thf(monoeq_2Emono_2Ec_2Ebool_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_2Erat_2Erat,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29 @ mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Erat_2Erat ) )
    = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) ) ) @ c_2Ebool_2ECOND_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Erat_2Erat,axiom,
    ! [V0: $o,V1: mono_2Etyop_2Erat_2Erat,V2: mono_2Etyop_2Erat_2Erat] :
      ( ( s @ tyop_2Erat_2Erat @ ( i_mono_2Etyop_2Erat_2Erat @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Erat_2Erat @ V0 @ V1 @ V2 ) ) )
      = ( s @ tyop_2Erat_2Erat @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) @ ( s @ tyop_2Erat_2Erat @ ( i_mono_2Etyop_2Erat_2Erat @ V1 ) ) @ ( s @ tyop_2Erat_2Erat @ ( i_mono_2Etyop_2Erat_2Erat @ V2 ) ) ) ) ) ).

thf(monoeq_2Emono_2Ec_2Ecombin_2EI_2E0_2Emono_2Etyop_2Erat_2Erat,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29 @ mono_2Ec_2Ecombin_2EI_2Emono_2Etyop_2Erat_2Erat ) )
    = ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) @ c_2Ecombin_2EI_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Ecombin_2EI_2E1_2Emono_2Etyop_2Erat_2Erat,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat] :
      ( ( s @ tyop_2Erat_2Erat @ ( i_mono_2Etyop_2Erat_2Erat @ ( mono_2Ec_2Ecombin_2EI_2Emono_2Etyop_2Erat_2Erat @ V0 ) ) )
      = ( s @ tyop_2Erat_2Erat @ ( c_2Ecombin_2EI_2E1 @ ( s @ tyop_2Erat_2Erat @ ( i_mono_2Etyop_2Erat_2Erat @ V0 ) ) ) ) ) ).

thf(monoeq_2Emono_2Ec_2Ebool_2EONE__ONE_2E0_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Ebool_2EONE__ONE_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat ) )
    = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2EONE__ONE_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat] :
      ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Ebool_2EONE__ONE_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat @ V0 ) ) )
      = ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EONE__ONE_2E1 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29 @ V0 ) ) ) ) ) ).

thf(monoeq_2Emono_2Ec_2Equotient_2EQUOTIENT_2E0_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29 @ mono_2Ec_2Equotient_2EQUOTIENT_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat ) )
    = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ tyop_2Emin_2Ebool ) ) ) @ c_2Equotient_2EQUOTIENT_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > $o,V1: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat,V2: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac] :
      ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Equotient_2EQUOTIENT_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat @ V0 @ V1 @ V2 ) ) )
      = ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29 @ V1 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ tyop_2Efrac_2Efrac ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29 @ V2 ) ) ) ) ) ).

thf(monoeq_2Emono_2Ec_2Ebool_2ETYPE__DEFINITION_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 @ mono_2Ec_2Ebool_2ETYPE__DEFINITION_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat ) )
    = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) ) @ c_2Ebool_2ETYPE__DEFINITION_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0: ( mono_2Etyop_2Efrac_2Efrac > $o ) > $o,V1: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o] :
      ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Ebool_2ETYPE__DEFINITION_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat @ V0 @ V1 ) ) )
      = ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2ETYPE__DEFINITION_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ tyop_2Efrac_2Efrac @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Ec_2Erelation_2EWF_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Erelation_2EWF_2Emono_2Etyop_2Enum_2Enum ) )
    = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ c_2Erelation_2EWF_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Erelation_2EWF_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
      ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Erelation_2EWF_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
      = ( s @ tyop_2Emin_2Ebool @ ( c_2Erelation_2EWF_2E1 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) ) ) ) ).

thf(monoeq_2Emono_2Ec_2Erelation_2EWFREC_2E0_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29 @ mono_2Ec_2Erelation_2EWFREC_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat ) )
    = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) ) @ c_2Erelation_2EWFREC_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Erelation_2EWFREC_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29 @ ( mono_2Ec_2Erelation_2EWFREC_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat @ V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( c_2Erelation_2EWFREC_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Ec_2Earithmetic_2Enum__CASE_2E0_2Emono_2Etyop_2Erat_2Erat,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ tyop_2Erat_2Erat ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29 @ mono_2Ec_2Earithmetic_2Enum__CASE_2Emono_2Etyop_2Erat_2Erat ) )
    = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Erat_2Erat @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ tyop_2Erat_2Erat ) ) ) @ c_2Earithmetic_2Enum__CASE_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Earithmetic_2Enum__CASE_2E3_2Emono_2Etyop_2Erat_2Erat,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Erat_2Erat,V2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat] :
      ( ( s @ tyop_2Erat_2Erat @ ( i_mono_2Etyop_2Erat_2Erat @ ( mono_2Ec_2Earithmetic_2Enum__CASE_2Emono_2Etyop_2Erat_2Erat @ V0 @ V1 @ V2 ) ) )
      = ( s @ tyop_2Erat_2Erat @ ( c_2Earithmetic_2Enum__CASE_2E3 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0 ) ) @ ( s @ tyop_2Erat_2Erat @ ( i_mono_2Etyop_2Erat_2Erat @ V1 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erat_2Erat ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29 @ V2 ) ) ) ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: $o > $o,V1: $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: $o > $o > $o,V1: $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_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_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0: $o > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat,V1: $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: mono_2Etyop_2Efrac_2Efrac > $o,V1: mono_2Etyop_2Efrac_2Efrac] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Efrac_2Efrac,axiom,
    ! [V0: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac,V1: mono_2Etyop_2Efrac_2Efrac] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > $o,V1: mono_2Etyop_2Efrac_2Efrac] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29,axiom,
    ! [V0: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac,V1: mono_2Etyop_2Efrac_2Efrac] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Einteger_2Eint,axiom,
    ! [V0: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Efrac_2Efrac] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat,V1: mono_2Etyop_2Efrac_2Efrac] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: ( mono_2Etyop_2Efrac_2Efrac > $o ) > $o,V1: mono_2Etyop_2Efrac_2Efrac > $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Efrac_2Efrac,axiom,
    ! [V0: ( mono_2Etyop_2Efrac_2Efrac > $o ) > mono_2Etyop_2Efrac_2Efrac,V1: mono_2Etyop_2Efrac_2Efrac > $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0: ( mono_2Etyop_2Efrac_2Efrac > $o ) > mono_2Etyop_2Erat_2Erat,V1: mono_2Etyop_2Efrac_2Efrac > $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > $o ) > ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ) > $o,V1: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac > $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: ( mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ) > $o,V1: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: ( ( mono_2Etyop_2Efrac_2Efrac > $o ) > $o ) > ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o ) > $o,V1: ( mono_2Etyop_2Efrac_2Efrac > $o ) > $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat,V1: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ) > $o,V1: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o ) > $o,V1: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: ( mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ) > $o,V1: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat] :
      ( ( 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_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > 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_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_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_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_2Erat_2Erat_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Erat_2Erat,V1: mono_2Etyop_2Einteger_2Eint] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Efrac_2Efrac,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_2Enum_2Enum,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Einteger_2Eint] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,V1: mono_2Etyop_2Einteger_2Eint] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Erat_2Erat,V1: mono_2Etyop_2Einteger_2Eint] :
      ( ( 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_2Efrac_2Efrac,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Efrac_2Efrac,V1: mono_2Etyop_2Enum_2Enum] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat,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_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat,V1: mono_2Etyop_2Enum_2Enum] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_20mono_2Etyop_2Efrac_2Efrac,axiom,
    ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Efrac_2Efrac,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > $o,V1: mono_2Etyop_2Erat_2Erat] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Efrac_2Efrac,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac,V1: mono_2Etyop_2Erat_2Erat] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o,V1: mono_2Etyop_2Erat_2Erat] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat,V1: mono_2Etyop_2Erat_2Erat] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > $o,V1: mono_2Etyop_2Erat_2Erat] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat,V1: mono_2Etyop_2Erat_2Erat] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Einteger_2Eint,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Erat_2Erat] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Enum_2Enum,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Erat_2Erat] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat,V1: mono_2Etyop_2Erat_2Erat] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(thm_2Erat_2Erat__equiv__def,axiom,
    ! [V0f1: mono_2Etyop_2Efrac_2Efrac,V1f2: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Erat__equiv @ V0f1 @ V1f2 )
    <=> ( ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Efrac_2Efrac__nmr @ V0f1 ) @ ( mono_2Ec_2Efrac_2Efrac__dnm @ V1f2 ) )
        = ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Efrac_2Efrac__nmr @ V1f2 ) @ ( mono_2Ec_2Efrac_2Efrac__dnm @ V0f1 ) ) ) ) ).

thf(thm_2Erat_2Erat__TY__DEF,axiom,
    ! [F0: ( mono_2Etyop_2Efrac_2Efrac > $o ) > $o] :
      ( ! [V1c: mono_2Etyop_2Efrac_2Efrac > $o] :
          ( ( F0 @ V1c )
        <=> ? [V2r: mono_2Etyop_2Efrac_2Efrac] :
              ( ( mono_2Ec_2Erat_2Erat__equiv @ V2r @ V2r )
              & ( V1c
                = ( mono_2Ec_2Erat_2Erat__equiv @ V2r ) ) ) )
     => ? [V0rep: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac > $o] : ( mono_2Ec_2Ebool_2ETYPE__DEFINITION_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat @ F0 @ V0rep ) ) ).

thf(thm_2Erat_2Erat__bijections,axiom,
    ( ! [V0a: mono_2Etyop_2Erat_2Erat] :
        ( ( mono_2Ec_2Erat_2Eabs__rat__CLASS @ ( mono_2Ec_2Erat_2Erep__rat__CLASS @ V0a ) )
        = V0a )
    & ! [V1r: mono_2Etyop_2Efrac_2Efrac > $o] :
        ( ? [V2r: mono_2Etyop_2Efrac_2Efrac] :
            ( ( mono_2Ec_2Erat_2Erat__equiv @ V2r @ V2r )
            & ( V1r
              = ( mono_2Ec_2Erat_2Erat__equiv @ V2r ) ) )
      <=> ( ( mono_2Ec_2Erat_2Erep__rat__CLASS @ ( mono_2Ec_2Erat_2Eabs__rat__CLASS @ V1r ) )
          = V1r ) ) ) ).

thf(thm_2Erat_2Erep__rat__def,axiom,
    ! [V0a: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erep__rat @ V0a )
      = ( mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Efrac_2Efrac @ ( mono_2Ec_2Erat_2Erep__rat__CLASS @ V0a ) ) ) ).

thf(thm_2Erat_2Eabs__rat__def,axiom,
    ! [V0r: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Eabs__rat @ V0r )
      = ( mono_2Ec_2Erat_2Eabs__rat__CLASS @ ( mono_2Ec_2Erat_2Erat__equiv @ V0r ) ) ) ).

thf(thm_2Erat_2Erat__nmr__def,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__nmr @ V0r )
      = ( mono_2Ec_2Efrac_2Efrac__nmr @ ( mono_2Ec_2Erat_2Erep__rat @ V0r ) ) ) ).

thf(thm_2Erat_2Erat__dnm__def,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__dnm @ V0r )
      = ( mono_2Ec_2Efrac_2Efrac__dnm @ ( mono_2Ec_2Erat_2Erep__rat @ V0r ) ) ) ).

thf(thm_2Erat_2Erat__sgn__def,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__sgn @ V0r )
      = ( mono_2Ec_2Efrac_2Efrac__sgn @ ( mono_2Ec_2Erat_2Erep__rat @ V0r ) ) ) ).

thf(thm_2Erat_2Erat__0__def,axiom,
    ( mono_2Ec_2Erat_2Erat__0
    = ( mono_2Ec_2Erat_2Eabs__rat @ mono_2Ec_2Efrac_2Efrac__0 ) ) ).

thf(thm_2Erat_2Erat__1__def,axiom,
    ( mono_2Ec_2Erat_2Erat__1
    = ( mono_2Ec_2Erat_2Eabs__rat @ mono_2Ec_2Efrac_2Efrac__1 ) ) ).

thf(thm_2Erat_2Erat__ainv__def,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__ainv @ V0r1 )
      = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__ainv @ ( mono_2Ec_2Erat_2Erep__rat @ V0r1 ) ) ) ) ).

thf(thm_2Erat_2Erat__minv__def,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__minv @ V0r1 )
      = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__minv @ ( mono_2Ec_2Erat_2Erep__rat @ V0r1 ) ) ) ) ).

thf(thm_2Erat_2Erat__add__def,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__add @ V0r1 @ V1r2 )
      = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__add @ ( mono_2Ec_2Erat_2Erep__rat @ V0r1 ) @ ( mono_2Ec_2Erat_2Erep__rat @ V1r2 ) ) ) ) ).

thf(thm_2Erat_2Erat__sub__def,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__sub @ V0r1 @ V1r2 )
      = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__sub @ ( mono_2Ec_2Erat_2Erep__rat @ V0r1 ) @ ( mono_2Ec_2Erat_2Erep__rat @ V1r2 ) ) ) ) ).

thf(thm_2Erat_2Erat__mul__def,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__mul @ V0r1 @ V1r2 )
      = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__mul @ ( mono_2Ec_2Erat_2Erep__rat @ V0r1 ) @ ( mono_2Ec_2Erat_2Erep__rat @ V1r2 ) ) ) ) ).

thf(thm_2Erat_2Erat__div__def,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__div @ V0r1 @ V1r2 )
      = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__div @ ( mono_2Ec_2Erat_2Erep__rat @ V0r1 ) @ ( mono_2Ec_2Erat_2Erep__rat @ V1r2 ) ) ) ) ).

thf(thm_2Erat_2Erat__les__def,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ V1r2 )
    <=> ( ( mono_2Ec_2Erat_2Erat__sgn @ ( mono_2Ec_2Erat_2Erat__sub @ V1r2 @ V0r1 ) )
        = ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ).

thf(thm_2Erat_2Erat__gre__def,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__gre @ V0r1 @ V1r2 )
      = ( mono_2Ec_2Erat_2Erat__les @ V1r2 @ V0r1 ) ) ).

thf(thm_2Erat_2Erat__leq__def,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__leq @ V0r1 @ V1r2 )
    <=> ( ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ V1r2 )
        | ( V0r1 = V1r2 ) ) ) ).

thf(thm_2Erat_2Erat__geq__def,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__geq @ V0r1 @ V1r2 )
      = ( mono_2Ec_2Erat_2Erat__leq @ V1r2 @ V0r1 ) ) ).

thf(thm_2Erat_2Erat__cons__def,axiom,
    ! [V0nmr: mono_2Etyop_2Einteger_2Eint,V1dnm: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Erat_2Erat__cons @ V0nmr @ V1dnm )
      = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Eabs__frac @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2EintExtension_2ESGN @ V0nmr ) @ ( mono_2Ec_2EintExtension_2ESGN @ V1dnm ) ) @ ( mono_2Ec_2Einteger_2EABS @ V0nmr ) ) @ ( mono_2Ec_2Einteger_2EABS @ V1dnm ) ) ) ) ) ).

thf(thm_2Erat_2Erat__of__num__primitive__def,axiom,
    ! [F3: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat,F2: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat,F1: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat,F0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > $o] :
      ( ! [V2rat__of__num: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat,V5n: mono_2Etyop_2Enum_2Enum] :
          ( ( F3 @ V2rat__of__num @ V5n )
          = ( mono_2Ec_2Ecombin_2EI_2Emono_2Etyop_2Erat_2Erat @ ( mono_2Ec_2Erat_2Erat__add @ ( V2rat__of__num @ ( mono_2Ec_2Enum_2ESUC @ V5n ) ) @ mono_2Ec_2Erat_2Erat__1 ) ) )
     => ( ! [V2rat__of__num: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat,V4v: mono_2Etyop_2Enum_2Enum] :
            ( ( F2 @ V2rat__of__num @ V4v )
            = ( mono_2Ec_2Earithmetic_2Enum__CASE_2Emono_2Etyop_2Erat_2Erat @ V4v @ ( mono_2Ec_2Ecombin_2EI_2Emono_2Etyop_2Erat_2Erat @ mono_2Ec_2Erat_2Erat__1 ) @ ( F3 @ V2rat__of__num ) ) )
       => ( ! [V2rat__of__num: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat,V3a: mono_2Etyop_2Enum_2Enum] :
              ( ( F1 @ V2rat__of__num @ V3a )
              = ( mono_2Ec_2Earithmetic_2Enum__CASE_2Emono_2Etyop_2Erat_2Erat @ V3a @ ( mono_2Ec_2Ecombin_2EI_2Emono_2Etyop_2Erat_2Erat @ mono_2Ec_2Erat_2Erat__0 ) @ ( F2 @ V2rat__of__num ) ) )
         => ( ! [V0R: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
                ( ( F0 @ V0R )
              <=> ( ( mono_2Ec_2Erelation_2EWF_2Emono_2Etyop_2Enum_2Enum @ V0R )
                  & ! [V1n: mono_2Etyop_2Enum_2Enum] : ( V0R @ ( mono_2Ec_2Enum_2ESUC @ V1n ) @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ V1n ) ) ) ) )
           => ( mono_2Ec_2Erat_2Erat__of__num
              = ( mono_2Ec_2Erelation_2EWFREC_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat @ ( mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ F0 ) @ F1 ) ) ) ) ) ) ).

thf(thm_2Erat_2Erat__of__int__def,axiom,
    ! [V0i: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Erat_2Erat__of__int @ V0i )
      = ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Erat_2Erat @ ( mono_2Ec_2Einteger_2Eint__lt @ V0i @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) @ ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Einteger_2ENum @ ( mono_2Ec_2Einteger_2Eint__neg @ V0i ) ) ) ) @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Einteger_2ENum @ V0i ) ) ) ) ).

thf(thm_2Erat_2ERATND__THM,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat] :
      ( ( V0r
        = ( mono_2Ec_2Erat_2Erat__div @ ( mono_2Ec_2Erat_2Erat__of__int @ ( mono_2Ec_2Erat_2ERATN @ V0r ) ) @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Erat_2ERATD @ V0r ) ) ) )
      & ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Erat_2ERATD @ V0r ) )
      & ( ( ( mono_2Ec_2Erat_2ERATN @ V0r )
          = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) )
       => ( ( mono_2Ec_2Erat_2ERATD @ V0r )
          = ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) )
      & ! [V1n_27: mono_2Etyop_2Einteger_2Eint,V2d_27: mono_2Etyop_2Enum_2Enum] :
          ( ( ( V0r
              = ( mono_2Ec_2Erat_2Erat__div @ ( mono_2Ec_2Erat_2Erat__of__int @ V1n_27 ) @ ( mono_2Ec_2Erat_2Erat__of__num @ V2d_27 ) ) )
            & ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ V2d_27 ) )
         => ( mono_2Ec_2Einteger_2Eint__le @ ( mono_2Ec_2Einteger_2EABS @ ( mono_2Ec_2Erat_2ERATN @ V0r ) ) @ ( mono_2Ec_2Einteger_2EABS @ V1n_27 ) ) ) ) ).

thf(thm_2Erat_2Erat__min__def,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__min @ V0r1 @ V1r2 )
      = ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Erat_2Erat @ ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ V1r2 ) @ V0r1 @ V1r2 ) ) ).

thf(thm_2Erat_2Erat__max__def,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__max @ V0r1 @ V1r2 )
      = ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Erat_2Erat @ ( mono_2Ec_2Erat_2Erat__gre @ V0r1 @ V1r2 ) @ V0r1 @ V1r2 ) ) ).

thf(thm_2Erat_2ERAT__EQUIV__REF,axiom,
    ! [V0a: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Erat__equiv @ V0a @ V0a ) ).

thf(thm_2Erat_2ERAT__EQUIV__SYM,axiom,
    ! [V0a: mono_2Etyop_2Efrac_2Efrac,V1b: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Erat__equiv @ V0a @ V1b )
      = ( mono_2Ec_2Erat_2Erat__equiv @ V1b @ V0a ) ) ).

thf(thm_2Erat_2ERAT__EQUIV__NMR__Z__IFF,axiom,
    ! [V0a: mono_2Etyop_2Efrac_2Efrac,V1b: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Erat__equiv @ V0a @ V1b )
     => ( ( ( mono_2Ec_2Efrac_2Efrac__nmr @ V0a )
          = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) )
      <=> ( ( mono_2Ec_2Efrac_2Efrac__nmr @ V1b )
          = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ).

thf(thm_2Erat_2ERAT__EQUIV__NMR__GTZ__IFF,axiom,
    ! [V0a: mono_2Etyop_2Efrac_2Efrac,V1b: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Erat__equiv @ V0a @ V1b )
     => ( ( mono_2Ec_2Einteger_2Eint__gt @ ( mono_2Ec_2Efrac_2Efrac__nmr @ V0a ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) )
        = ( mono_2Ec_2Einteger_2Eint__gt @ ( mono_2Ec_2Efrac_2Efrac__nmr @ V1b ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ).

thf(thm_2Erat_2ERAT__EQUIV__NMR__LTZ__IFF,axiom,
    ! [V0a: mono_2Etyop_2Efrac_2Efrac,V1b: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Erat__equiv @ V0a @ V1b )
     => ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Efrac_2Efrac__nmr @ V0a ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) )
        = ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Efrac_2Efrac__nmr @ V1b ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ).

thf(thm_2Erat_2ERAT__NMR__Z__IFF__EQUIV,axiom,
    ! [V0a: mono_2Etyop_2Efrac_2Efrac,V1b: mono_2Etyop_2Efrac_2Efrac] :
      ( ( ( mono_2Ec_2Efrac_2Efrac__nmr @ V0a )
        = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) )
     => ( ( mono_2Ec_2Erat_2Erat__equiv @ V0a @ V1b )
      <=> ( ( mono_2Ec_2Efrac_2Efrac__nmr @ V1b )
          = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ).

thf(thm_2Erat_2ERAT__EQUIV__TRANS,axiom,
    ! [V0a: mono_2Etyop_2Efrac_2Efrac,V1b: mono_2Etyop_2Efrac_2Efrac,V2c: mono_2Etyop_2Efrac_2Efrac] :
      ( ( ( mono_2Ec_2Erat_2Erat__equiv @ V0a @ V1b )
        & ( mono_2Ec_2Erat_2Erat__equiv @ V1b @ V2c ) )
     => ( mono_2Ec_2Erat_2Erat__equiv @ V0a @ V2c ) ) ).

thf(thm_2Erat_2ERAT__EQUIV,axiom,
    ! [V0f1: mono_2Etyop_2Efrac_2Efrac,V1f2: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Erat__equiv @ V0f1 @ V1f2 )
    <=> ( ( mono_2Ec_2Erat_2Erat__equiv @ V0f1 )
        = ( mono_2Ec_2Erat_2Erat__equiv @ V1f2 ) ) ) ).

thf(thm_2Erat_2ERAT__EQUIV__ALT,axiom,
    ! [V0a: mono_2Etyop_2Efrac_2Efrac,V1x: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Erat__equiv @ V0a @ V1x )
    <=> ? [V2b: mono_2Etyop_2Einteger_2Eint,V3c: mono_2Etyop_2Einteger_2Eint] :
          ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ V2b )
          & ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ V3c )
          & ( ( mono_2Ec_2Efrac_2Efrac__mul @ V0a @ ( mono_2Ec_2Efrac_2Eabs__frac @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint @ V2b @ V2b ) ) )
            = ( mono_2Ec_2Efrac_2Efrac__mul @ V1x @ ( mono_2Ec_2Efrac_2Eabs__frac @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint @ V3c @ V3c ) ) ) ) ) ) ).

thf(thm_2Erat_2Erat__ABS__REP__CLASS,axiom,
    ( ! [V0a: mono_2Etyop_2Erat_2Erat] :
        ( ( mono_2Ec_2Erat_2Eabs__rat__CLASS @ ( mono_2Ec_2Erat_2Erep__rat__CLASS @ V0a ) )
        = V0a )
    & ! [V1c: mono_2Etyop_2Efrac_2Efrac > $o] :
        ( ? [V2r: mono_2Etyop_2Efrac_2Efrac] :
            ( ( mono_2Ec_2Erat_2Erat__equiv @ V2r @ V2r )
            & ( V1c
              = ( mono_2Ec_2Erat_2Erat__equiv @ V2r ) ) )
      <=> ( ( mono_2Ec_2Erat_2Erep__rat__CLASS @ ( mono_2Ec_2Erat_2Eabs__rat__CLASS @ V1c ) )
          = V1c ) ) ) ).

thf(thm_2Erat_2Erat__QUOTIENT,axiom,
    mono_2Ec_2Equotient_2EQUOTIENT_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat @ mono_2Ec_2Erat_2Erat__equiv @ mono_2Ec_2Erat_2Eabs__rat @ mono_2Ec_2Erat_2Erep__rat ).

thf(thm_2Erat_2Erat__def,axiom,
    mono_2Ec_2Equotient_2EQUOTIENT_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat @ mono_2Ec_2Erat_2Erat__equiv @ mono_2Ec_2Erat_2Eabs__rat @ mono_2Ec_2Erat_2Erep__rat ).

thf(thm_2Erat_2Erat__type__thm,axiom,
    ( ! [V0a: mono_2Etyop_2Erat_2Erat] :
        ( ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Erat_2Erep__rat @ V0a ) )
        = V0a )
    & ! [V1r: mono_2Etyop_2Efrac_2Efrac,V2s: mono_2Etyop_2Efrac_2Efrac] :
        ( ( mono_2Ec_2Erat_2Erat__equiv @ V1r @ V2s )
      <=> ( ( mono_2Ec_2Erat_2Eabs__rat @ V1r )
          = ( mono_2Ec_2Erat_2Eabs__rat @ V2s ) ) ) ) ).

thf(thm_2Erat_2Erat__equiv__reps,axiom,
    ! [V0r2: mono_2Etyop_2Erat_2Erat,V1r1: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__equiv @ ( mono_2Ec_2Erat_2Erep__rat @ V1r1 ) @ ( mono_2Ec_2Erat_2Erep__rat @ V0r2 ) )
    <=> ( V1r1 = V0r2 ) ) ).

thf(thm_2Erat_2Erat__equiv__rep__abs,axiom,
    ! [V0f: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Erat__equiv @ ( mono_2Ec_2Erat_2Erep__rat @ ( mono_2Ec_2Erat_2Eabs__rat @ V0f ) ) @ V0f ) ).

thf(thm_2Erat_2Erat__of__num__ind,axiom,
    ! [V0P: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( ( V0P @ mono_2Ec_2Enum_2E0 )
        & ( V0P @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) )
        & ! [V1n: mono_2Etyop_2Enum_2Enum] :
            ( ( V0P @ ( mono_2Ec_2Enum_2ESUC @ V1n ) )
           => ( V0P @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ V1n ) ) ) ) )
     => ! [V2v: mono_2Etyop_2Enum_2Enum] : ( V0P @ V2v ) ) ).

thf(thm_2Erat_2Erat__of__num__def,axiom,
    ( ( ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 )
      = mono_2Ec_2Erat_2Erat__0 )
    & ( ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) )
      = mono_2Ec_2Erat_2Erat__1 )
    & ! [V0n: mono_2Etyop_2Enum_2Enum] :
        ( ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ V0n ) ) )
        = ( mono_2Ec_2Erat_2Erat__add @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Enum_2ESUC @ V0n ) ) @ mono_2Ec_2Erat_2Erat__1 ) ) ) ).

thf(thm_2Erat_2Erat__of__num__def__compute,axiom,
    ( ( ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 )
      = mono_2Ec_2Erat_2Erat__0 )
    & ( ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) )
      = mono_2Ec_2Erat_2Erat__1 )
    & ! [V0n: mono_2Etyop_2Enum_2Enum] :
        ( ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V0n ) ) ) )
        = ( mono_2Ec_2Erat_2Erat__add @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V0n ) ) ) @ mono_2Ec_2Erat_2Erat__1 ) )
    & ! [V1n: mono_2Etyop_2Enum_2Enum] :
        ( ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V1n ) ) ) )
        = ( mono_2Ec_2Erat_2Erat__add @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V1n ) ) ) @ mono_2Ec_2Erat_2Erat__1 ) ) ) ).

thf(thm_2Erat_2Erat__0,axiom,
    ( ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 )
    = ( mono_2Ec_2Erat_2Eabs__rat @ mono_2Ec_2Efrac_2Efrac__0 ) ) ).

thf(thm_2Erat_2Erat__1,axiom,
    ( ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
    = ( mono_2Ec_2Erat_2Eabs__rat @ mono_2Ec_2Efrac_2Efrac__1 ) ) ).

thf(thm_2Erat_2ERAT,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Erat_2Erep__rat @ V0r ) )
      = V0r ) ).

thf(thm_2Erat_2ERAT__ABS__EQUIV,axiom,
    ! [V0f1: mono_2Etyop_2Efrac_2Efrac,V1f2: mono_2Etyop_2Efrac_2Efrac] :
      ( ( ( mono_2Ec_2Erat_2Eabs__rat @ V0f1 )
        = ( mono_2Ec_2Erat_2Eabs__rat @ V1f2 ) )
    <=> ( mono_2Ec_2Erat_2Erat__equiv @ V0f1 @ V1f2 ) ) ).

thf(thm_2Erat_2ERAT__EQ,axiom,
    ! [V0f1: mono_2Etyop_2Efrac_2Efrac,V1f2: mono_2Etyop_2Efrac_2Efrac] :
      ( ( ( mono_2Ec_2Erat_2Eabs__rat @ V0f1 )
        = ( mono_2Ec_2Erat_2Eabs__rat @ V1f2 ) )
    <=> ( ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Efrac_2Efrac__nmr @ V0f1 ) @ ( mono_2Ec_2Efrac_2Efrac__dnm @ V1f2 ) )
        = ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Efrac_2Efrac__nmr @ V1f2 ) @ ( mono_2Ec_2Efrac_2Efrac__dnm @ V0f1 ) ) ) ) ).

thf(thm_2Erat_2ERAT__EQ__ALT,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( V0r1 = V1r2 )
    <=> ( ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Erat_2Erat__nmr @ V0r1 ) @ ( mono_2Ec_2Erat_2Erat__dnm @ V1r2 ) )
        = ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Erat_2Erat__nmr @ V1r2 ) @ ( mono_2Ec_2Erat_2Erat__dnm @ V0r1 ) ) ) ) ).

thf(thm_2Erat_2ERAT__NMREQ0__CONG,axiom,
    ! [V0f1: mono_2Etyop_2Efrac_2Efrac] :
      ( ( ( mono_2Ec_2Efrac_2Efrac__nmr @ ( mono_2Ec_2Erat_2Erep__rat @ ( mono_2Ec_2Erat_2Eabs__rat @ V0f1 ) ) )
        = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) )
    <=> ( ( mono_2Ec_2Efrac_2Efrac__nmr @ V0f1 )
        = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ).

thf(thm_2Erat_2ERAT__NMRLT0__CONG,axiom,
    ! [V0f1: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Efrac_2Efrac__nmr @ ( mono_2Ec_2Erat_2Erep__rat @ ( mono_2Ec_2Erat_2Eabs__rat @ V0f1 ) ) ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) )
      = ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Efrac_2Efrac__nmr @ V0f1 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ).

thf(thm_2Erat_2ERAT__NMRGT0__CONG,axiom,
    ! [V0f1: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Einteger_2Eint__gt @ ( mono_2Ec_2Efrac_2Efrac__nmr @ ( mono_2Ec_2Erat_2Erep__rat @ ( mono_2Ec_2Erat_2Eabs__rat @ V0f1 ) ) ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) )
      = ( mono_2Ec_2Einteger_2Eint__gt @ ( mono_2Ec_2Efrac_2Efrac__nmr @ V0f1 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ).

thf(thm_2Erat_2ERAT__SGN__CONG,axiom,
    ! [V0f1: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Efrac_2Efrac__sgn @ ( mono_2Ec_2Erat_2Erep__rat @ ( mono_2Ec_2Erat_2Eabs__rat @ V0f1 ) ) )
      = ( mono_2Ec_2Efrac_2Efrac__sgn @ V0f1 ) ) ).

thf(thm_2Erat_2ERAT__AINV__CONG,axiom,
    ! [V0x: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__ainv @ ( mono_2Ec_2Erat_2Erep__rat @ ( mono_2Ec_2Erat_2Eabs__rat @ V0x ) ) ) )
      = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__ainv @ V0x ) ) ) ).

thf(thm_2Erat_2EFRAC__MINV__EQUIV,axiom,
    ! [V0y: mono_2Etyop_2Efrac_2Efrac,V1x: mono_2Etyop_2Efrac_2Efrac] :
      ( ( (~)
        @ ( ( mono_2Ec_2Efrac_2Efrac__nmr @ V0y )
          = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) )
     => ( ( mono_2Ec_2Erat_2Erat__equiv @ V1x @ V0y )
       => ( mono_2Ec_2Erat_2Erat__equiv @ ( mono_2Ec_2Efrac_2Efrac__minv @ V1x ) @ ( mono_2Ec_2Efrac_2Efrac__minv @ V0y ) ) ) ) ).

thf(thm_2Erat_2ERAT__MINV__CONG,axiom,
    ! [V0x: mono_2Etyop_2Efrac_2Efrac] :
      ( ( (~)
        @ ( ( mono_2Ec_2Efrac_2Efrac__nmr @ V0x )
          = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) )
     => ( ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__minv @ ( mono_2Ec_2Erat_2Erep__rat @ ( mono_2Ec_2Erat_2Eabs__rat @ V0x ) ) ) )
        = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__minv @ V0x ) ) ) ) ).

thf(thm_2Erat_2EFRAC__ADD__EQUIV1,axiom,
    ! [V0y: mono_2Etyop_2Efrac_2Efrac,V1x_27: mono_2Etyop_2Efrac_2Efrac,V2x: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Erat__equiv @ V2x @ V1x_27 )
     => ( mono_2Ec_2Erat_2Erat__equiv @ ( mono_2Ec_2Efrac_2Efrac__add @ V2x @ V0y ) @ ( mono_2Ec_2Efrac_2Efrac__add @ V1x_27 @ V0y ) ) ) ).

thf(thm_2Erat_2ERAT__ADD__CONG1,axiom,
    ! [V0x: mono_2Etyop_2Efrac_2Efrac,V1y: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__add @ ( mono_2Ec_2Erat_2Erep__rat @ ( mono_2Ec_2Erat_2Eabs__rat @ V0x ) ) @ V1y ) )
      = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__add @ V0x @ V1y ) ) ) ).

thf(thm_2Erat_2ERAT__ADD__CONG2,axiom,
    ! [V0x: mono_2Etyop_2Efrac_2Efrac,V1y: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__add @ V0x @ ( mono_2Ec_2Erat_2Erep__rat @ ( mono_2Ec_2Erat_2Eabs__rat @ V1y ) ) ) )
      = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__add @ V0x @ V1y ) ) ) ).

thf(thm_2Erat_2ERAT__ADD__CONG,axiom,
    ( ! [V0x: mono_2Etyop_2Efrac_2Efrac,V1y: mono_2Etyop_2Efrac_2Efrac] :
        ( ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__add @ ( mono_2Ec_2Erat_2Erep__rat @ ( mono_2Ec_2Erat_2Eabs__rat @ V0x ) ) @ V1y ) )
        = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__add @ V0x @ V1y ) ) )
    & ! [V2x: mono_2Etyop_2Efrac_2Efrac,V3y: mono_2Etyop_2Efrac_2Efrac] :
        ( ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__add @ V2x @ ( mono_2Ec_2Erat_2Erep__rat @ ( mono_2Ec_2Erat_2Eabs__rat @ V3y ) ) ) )
        = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__add @ V2x @ V3y ) ) ) ) ).

thf(thm_2Erat_2EFRAC__MUL__EQUIV1,axiom,
    ! [V0y: mono_2Etyop_2Efrac_2Efrac,V1x_27: mono_2Etyop_2Efrac_2Efrac,V2x: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Erat__equiv @ V2x @ V1x_27 )
     => ( mono_2Ec_2Erat_2Erat__equiv @ ( mono_2Ec_2Efrac_2Efrac__mul @ V2x @ V0y ) @ ( mono_2Ec_2Efrac_2Efrac__mul @ V1x_27 @ V0y ) ) ) ).

thf(thm_2Erat_2EFRAC__MUL__EQUIV2,axiom,
    ! [V0y: mono_2Etyop_2Efrac_2Efrac,V1x_27: mono_2Etyop_2Efrac_2Efrac,V2x: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Erat__equiv @ V2x @ V1x_27 )
     => ( mono_2Ec_2Erat_2Erat__equiv @ ( mono_2Ec_2Efrac_2Efrac__mul @ V0y @ V2x ) @ ( mono_2Ec_2Efrac_2Efrac__mul @ V0y @ V1x_27 ) ) ) ).

thf(thm_2Erat_2ERAT__MUL__CONG1,axiom,
    ! [V0x: mono_2Etyop_2Efrac_2Efrac,V1y: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__mul @ ( mono_2Ec_2Erat_2Erep__rat @ ( mono_2Ec_2Erat_2Eabs__rat @ V0x ) ) @ V1y ) )
      = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__mul @ V0x @ V1y ) ) ) ).

thf(thm_2Erat_2ERAT__MUL__CONG2,axiom,
    ! [V0x: mono_2Etyop_2Efrac_2Efrac,V1y: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__mul @ V0x @ ( mono_2Ec_2Erat_2Erep__rat @ ( mono_2Ec_2Erat_2Eabs__rat @ V1y ) ) ) )
      = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__mul @ V0x @ V1y ) ) ) ).

thf(thm_2Erat_2ERAT__MUL__CONG,axiom,
    ( ! [V0x: mono_2Etyop_2Efrac_2Efrac,V1y: mono_2Etyop_2Efrac_2Efrac] :
        ( ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__mul @ ( mono_2Ec_2Erat_2Erep__rat @ ( mono_2Ec_2Erat_2Eabs__rat @ V0x ) ) @ V1y ) )
        = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__mul @ V0x @ V1y ) ) )
    & ! [V2x: mono_2Etyop_2Efrac_2Efrac,V3y: mono_2Etyop_2Efrac_2Efrac] :
        ( ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__mul @ V2x @ ( mono_2Ec_2Erat_2Erep__rat @ ( mono_2Ec_2Erat_2Eabs__rat @ V3y ) ) ) )
        = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__mul @ V2x @ V3y ) ) ) ) ).

thf(thm_2Erat_2ERAT__SUB__CONG1,axiom,
    ! [V0x: mono_2Etyop_2Efrac_2Efrac,V1y: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__sub @ ( mono_2Ec_2Erat_2Erep__rat @ ( mono_2Ec_2Erat_2Eabs__rat @ V0x ) ) @ V1y ) )
      = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__sub @ V0x @ V1y ) ) ) ).

thf(thm_2Erat_2ERAT__SUB__CONG2,axiom,
    ! [V0x: mono_2Etyop_2Efrac_2Efrac,V1y: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__sub @ V0x @ ( mono_2Ec_2Erat_2Erep__rat @ ( mono_2Ec_2Erat_2Eabs__rat @ V1y ) ) ) )
      = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__sub @ V0x @ V1y ) ) ) ).

thf(thm_2Erat_2ERAT__SUB__CONG,axiom,
    ( ! [V0x: mono_2Etyop_2Efrac_2Efrac,V1y: mono_2Etyop_2Efrac_2Efrac] :
        ( ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__sub @ ( mono_2Ec_2Erat_2Erep__rat @ ( mono_2Ec_2Erat_2Eabs__rat @ V0x ) ) @ V1y ) )
        = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__sub @ V0x @ V1y ) ) )
    & ! [V2x: mono_2Etyop_2Efrac_2Efrac,V3y: mono_2Etyop_2Efrac_2Efrac] :
        ( ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__sub @ V2x @ ( mono_2Ec_2Erat_2Erep__rat @ ( mono_2Ec_2Erat_2Eabs__rat @ V3y ) ) ) )
        = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__sub @ V2x @ V3y ) ) ) ) ).

thf(thm_2Erat_2ERAT__DIV__CONG1,axiom,
    ! [V0x: mono_2Etyop_2Efrac_2Efrac,V1y: mono_2Etyop_2Efrac_2Efrac] :
      ( ( (~)
        @ ( ( mono_2Ec_2Efrac_2Efrac__nmr @ V1y )
          = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) )
     => ( ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__div @ ( mono_2Ec_2Erat_2Erep__rat @ ( mono_2Ec_2Erat_2Eabs__rat @ V0x ) ) @ V1y ) )
        = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__div @ V0x @ V1y ) ) ) ) ).

thf(thm_2Erat_2ERAT__DIV__CONG2,axiom,
    ! [V0x: mono_2Etyop_2Efrac_2Efrac,V1y: mono_2Etyop_2Efrac_2Efrac] :
      ( ( (~)
        @ ( ( mono_2Ec_2Efrac_2Efrac__nmr @ V1y )
          = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) )
     => ( ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__div @ V0x @ ( mono_2Ec_2Erat_2Erep__rat @ ( mono_2Ec_2Erat_2Eabs__rat @ V1y ) ) ) )
        = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__div @ V0x @ V1y ) ) ) ) ).

thf(thm_2Erat_2ERAT__DIV__CONG,axiom,
    ( ! [V0x: mono_2Etyop_2Efrac_2Efrac,V1y: mono_2Etyop_2Efrac_2Efrac] :
        ( ( (~)
          @ ( ( mono_2Ec_2Efrac_2Efrac__nmr @ V1y )
            = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) )
       => ( ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__div @ ( mono_2Ec_2Erat_2Erep__rat @ ( mono_2Ec_2Erat_2Eabs__rat @ V0x ) ) @ V1y ) )
          = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__div @ V0x @ V1y ) ) ) )
    & ! [V2x: mono_2Etyop_2Efrac_2Efrac,V3y: mono_2Etyop_2Efrac_2Efrac] :
        ( ( (~)
          @ ( ( mono_2Ec_2Efrac_2Efrac__nmr @ V3y )
            = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) )
       => ( ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__div @ V2x @ ( mono_2Ec_2Erat_2Erep__rat @ ( mono_2Ec_2Erat_2Eabs__rat @ V3y ) ) ) )
          = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__div @ V2x @ V3y ) ) ) ) ) ).

thf(thm_2Erat_2ERAT__NMRDNM__EQ,axiom,
    ! [V0f1: mono_2Etyop_2Efrac_2Efrac] :
      ( ( ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Eabs__frac @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Efrac_2Efrac__nmr @ V0f1 ) @ ( mono_2Ec_2Efrac_2Efrac__dnm @ V0f1 ) ) ) )
        = ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) )
    <=> ( ( mono_2Ec_2Efrac_2Efrac__nmr @ V0f1 )
        = ( mono_2Ec_2Efrac_2Efrac__dnm @ V0f1 ) ) ) ).

thf(thm_2Erat_2ERAT__AINV__CALCULATE,axiom,
    ! [V0f1: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Eabs__rat @ V0f1 ) )
      = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__ainv @ V0f1 ) ) ) ).

thf(thm_2Erat_2ERAT__MINV__CALCULATE,axiom,
    ! [V0f1: mono_2Etyop_2Efrac_2Efrac] :
      ( ( (~)
        @ ( ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 )
          = ( mono_2Ec_2Efrac_2Efrac__nmr @ V0f1 ) ) )
     => ( ( mono_2Ec_2Erat_2Erat__minv @ ( mono_2Ec_2Erat_2Eabs__rat @ V0f1 ) )
        = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__minv @ V0f1 ) ) ) ) ).

thf(thm_2Erat_2ERAT__ADD__CALCULATE,axiom,
    ! [V0f1: mono_2Etyop_2Efrac_2Efrac,V1f2: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Erat__add @ ( mono_2Ec_2Erat_2Eabs__rat @ V0f1 ) @ ( mono_2Ec_2Erat_2Eabs__rat @ V1f2 ) )
      = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__add @ V0f1 @ V1f2 ) ) ) ).

thf(thm_2Erat_2ERAT__SUB__CALCULATE,axiom,
    ! [V0f1: mono_2Etyop_2Efrac_2Efrac,V1f2: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Erat__sub @ ( mono_2Ec_2Erat_2Eabs__rat @ V0f1 ) @ ( mono_2Ec_2Erat_2Eabs__rat @ V1f2 ) )
      = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__sub @ V0f1 @ V1f2 ) ) ) ).

thf(thm_2Erat_2ERAT__MUL__CALCULATE,axiom,
    ! [V0f1: mono_2Etyop_2Efrac_2Efrac,V1f2: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Erat__mul @ ( mono_2Ec_2Erat_2Eabs__rat @ V0f1 ) @ ( mono_2Ec_2Erat_2Eabs__rat @ V1f2 ) )
      = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__mul @ V0f1 @ V1f2 ) ) ) ).

thf(thm_2Erat_2ERAT__DIV__CALCULATE,axiom,
    ! [V0f1: mono_2Etyop_2Efrac_2Efrac,V1f2: mono_2Etyop_2Efrac_2Efrac] :
      ( ( (~)
        @ ( ( mono_2Ec_2Efrac_2Efrac__nmr @ V1f2 )
          = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) )
     => ( ( mono_2Ec_2Erat_2Erat__div @ ( mono_2Ec_2Erat_2Eabs__rat @ V0f1 ) @ ( mono_2Ec_2Erat_2Eabs__rat @ V1f2 ) )
        = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__div @ V0f1 @ V1f2 ) ) ) ) ).

thf(thm_2Erat_2ERAT__EQ__CALCULATE,axiom,
    ! [V0f1: mono_2Etyop_2Efrac_2Efrac,V1f2: mono_2Etyop_2Efrac_2Efrac] :
      ( ( ( mono_2Ec_2Erat_2Eabs__rat @ V0f1 )
        = ( mono_2Ec_2Erat_2Eabs__rat @ V1f2 ) )
    <=> ( ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Efrac_2Efrac__nmr @ V0f1 ) @ ( mono_2Ec_2Efrac_2Efrac__dnm @ V1f2 ) )
        = ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Efrac_2Efrac__nmr @ V1f2 ) @ ( mono_2Ec_2Efrac_2Efrac__dnm @ V0f1 ) ) ) ) ).

thf(thm_2Erat_2ERAT__LES__CALCULATE,axiom,
    ! [V0f1: mono_2Etyop_2Efrac_2Efrac,V1f2: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Eabs__rat @ V0f1 ) @ ( mono_2Ec_2Erat_2Eabs__rat @ V1f2 ) )
      = ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Efrac_2Efrac__nmr @ V0f1 ) @ ( mono_2Ec_2Efrac_2Efrac__dnm @ V1f2 ) ) @ ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Efrac_2Efrac__nmr @ V1f2 ) @ ( mono_2Ec_2Efrac_2Efrac__dnm @ V0f1 ) ) ) ) ).

thf(thm_2Erat_2ERAT__LEQ__CALCULATE,axiom,
    ! [V0f1: mono_2Etyop_2Efrac_2Efrac,V1f2: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Erat__leq @ ( mono_2Ec_2Erat_2Eabs__rat @ V0f1 ) @ ( mono_2Ec_2Erat_2Eabs__rat @ V1f2 ) )
      = ( mono_2Ec_2Einteger_2Eint__le @ ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Efrac_2Efrac__nmr @ V0f1 ) @ ( mono_2Ec_2Efrac_2Efrac__dnm @ V1f2 ) ) @ ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Efrac_2Efrac__nmr @ V1f2 ) @ ( mono_2Ec_2Efrac_2Efrac__dnm @ V0f1 ) ) ) ) ).

thf(thm_2Erat_2ERAT__OF__NUM__CALCULATE,axiom,
    ! [V0n1: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Erat_2Erat__of__num @ V0n1 )
      = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Eabs__frac @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__of__num @ V0n1 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).

thf(thm_2Erat_2ERAT__OF__NUM__LEQ,axiom,
    ! [V0b: mono_2Etyop_2Enum_2Enum,V1a: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Erat_2Erat__leq @ ( mono_2Ec_2Erat_2Erat__of__num @ V1a ) @ ( mono_2Ec_2Erat_2Erat__of__num @ V0b ) )
      = ( mono_2Ec_2Earithmetic_2E_3C_3D @ V1a @ V0b ) ) ).

thf(thm_2Erat_2ERAT__OF__NUM__LES,axiom,
    ! [V0b: mono_2Etyop_2Enum_2Enum,V1a: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ V1a ) @ ( mono_2Ec_2Erat_2Erat__of__num @ V0b ) )
      = ( mono_2Ec_2Eprim__rec_2E_3C @ V1a @ V0b ) ) ).

thf(thm_2Erat_2ERAT__EQ0__NMR,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat] :
      ( ( V0r1
        = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
    <=> ( ( mono_2Ec_2Erat_2Erat__nmr @ V0r1 )
        = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ).

thf(thm_2Erat_2ERAT__0LES__NMR,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V0r1 )
      = ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Erat_2Erat__nmr @ V0r1 ) ) ) ).

thf(thm_2Erat_2ERAT__LES0__NMR,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
      = ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Erat_2Erat__nmr @ V0r1 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ).

thf(thm_2Erat_2ERAT__0LEQ__NMR,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__leq @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V0r1 )
      = ( mono_2Ec_2Einteger_2Eint__le @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Erat_2Erat__nmr @ V0r1 ) ) ) ).

thf(thm_2Erat_2ERAT__LEQ0__NMR,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__leq @ V0r1 @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
      = ( mono_2Ec_2Einteger_2Eint__le @ ( mono_2Ec_2Erat_2Erat__nmr @ V0r1 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ).

thf(thm_2Erat_2ERAT__ADD__ASSOC,axiom,
    ! [V0a: mono_2Etyop_2Erat_2Erat,V1b: mono_2Etyop_2Erat_2Erat,V2c: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__add @ V0a @ ( mono_2Ec_2Erat_2Erat__add @ V1b @ V2c ) )
      = ( mono_2Ec_2Erat_2Erat__add @ ( mono_2Ec_2Erat_2Erat__add @ V0a @ V1b ) @ V2c ) ) ).

thf(thm_2Erat_2ERAT__MUL__ASSOC,axiom,
    ! [V0a: mono_2Etyop_2Erat_2Erat,V1b: mono_2Etyop_2Erat_2Erat,V2c: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__mul @ V0a @ ( mono_2Ec_2Erat_2Erat__mul @ V1b @ V2c ) )
      = ( mono_2Ec_2Erat_2Erat__mul @ ( mono_2Ec_2Erat_2Erat__mul @ V0a @ V1b ) @ V2c ) ) ).

thf(thm_2Erat_2ERAT__ADD__COMM,axiom,
    ! [V0a: mono_2Etyop_2Erat_2Erat,V1b: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__add @ V0a @ V1b )
      = ( mono_2Ec_2Erat_2Erat__add @ V1b @ V0a ) ) ).

thf(thm_2Erat_2ERAT__MUL__COMM,axiom,
    ! [V0a: mono_2Etyop_2Erat_2Erat,V1b: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__mul @ V0a @ V1b )
      = ( mono_2Ec_2Erat_2Erat__mul @ V1b @ V0a ) ) ).

thf(thm_2Erat_2ERAT__ADD__RID,axiom,
    ! [V0a: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__add @ V0a @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
      = V0a ) ).

thf(thm_2Erat_2ERAT__ADD__LID,axiom,
    ! [V0a: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__add @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V0a )
      = V0a ) ).

thf(thm_2Erat_2ERAT__MUL__RID,axiom,
    ! [V0a: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__mul @ V0a @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) )
      = V0a ) ).

thf(thm_2Erat_2ERAT__MUL__LID,axiom,
    ! [V0a: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__mul @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ V0a )
      = V0a ) ).

thf(thm_2Erat_2ERAT__ADD__RINV,axiom,
    ! [V0a: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__add @ V0a @ ( mono_2Ec_2Erat_2Erat__ainv @ V0a ) )
      = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ).

thf(thm_2Erat_2ERAT__ADD__LINV,axiom,
    ! [V0a: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__add @ ( mono_2Ec_2Erat_2Erat__ainv @ V0a ) @ V0a )
      = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ).

thf(thm_2Erat_2ERAT__MUL__RINV,axiom,
    ! [V0a: mono_2Etyop_2Erat_2Erat] :
      ( ( (~)
        @ ( V0a
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
     => ( ( mono_2Ec_2Erat_2Erat__mul @ V0a @ ( mono_2Ec_2Erat_2Erat__minv @ V0a ) )
        = ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ).

thf(thm_2Erat_2ERAT__MUL__LINV,axiom,
    ! [V0a: mono_2Etyop_2Erat_2Erat] :
      ( ( (~)
        @ ( V0a
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
     => ( ( mono_2Ec_2Erat_2Erat__mul @ ( mono_2Ec_2Erat_2Erat__minv @ V0a ) @ V0a )
        = ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ).

thf(thm_2Erat_2ERAT__RDISTRIB,axiom,
    ! [V0a: mono_2Etyop_2Erat_2Erat,V1b: mono_2Etyop_2Erat_2Erat,V2c: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__mul @ ( mono_2Ec_2Erat_2Erat__add @ V0a @ V1b ) @ V2c )
      = ( mono_2Ec_2Erat_2Erat__add @ ( mono_2Ec_2Erat_2Erat__mul @ V0a @ V2c ) @ ( mono_2Ec_2Erat_2Erat__mul @ V1b @ V2c ) ) ) ).

thf(thm_2Erat_2ERAT__LDISTRIB,axiom,
    ! [V0a: mono_2Etyop_2Erat_2Erat,V1b: mono_2Etyop_2Erat_2Erat,V2c: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__mul @ V2c @ ( mono_2Ec_2Erat_2Erat__add @ V0a @ V1b ) )
      = ( mono_2Ec_2Erat_2Erat__add @ ( mono_2Ec_2Erat_2Erat__mul @ V2c @ V0a ) @ ( mono_2Ec_2Erat_2Erat__mul @ V2c @ V1b ) ) ) ).

thf(thm_2Erat_2ERAT__1__NOT__0,axiom,
    ( (~)
    @ ( ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
      = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ).

thf(thm_2Erat_2ERAT__MUL__LZERO,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__mul @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V0r1 )
      = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ).

thf(thm_2Erat_2ERAT__MUL__RZERO,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__mul @ V0r1 @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
      = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ).

thf(thm_2Erat_2ERAT__SUB__ADDAINV,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__sub @ V0r1 @ V1r2 )
      = ( mono_2Ec_2Erat_2Erat__add @ V0r1 @ ( mono_2Ec_2Erat_2Erat__ainv @ V1r2 ) ) ) ).

thf(thm_2Erat_2ERAT__DIV__MULMINV,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__div @ V0r1 @ V1r2 )
      = ( mono_2Ec_2Erat_2Erat__mul @ V0r1 @ ( mono_2Ec_2Erat_2Erat__minv @ V1r2 ) ) ) ).

thf(thm_2Erat_2ERAT__DIV__0,axiom,
    ! [V0x: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__div @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V0x )
      = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ).

thf(thm_2Erat_2ERAT__AINV__0,axiom,
    ( ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
    = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ).

thf(thm_2Erat_2ERAT__AINV__AINV,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__ainv @ V0r1 ) )
      = V0r1 ) ).

thf(thm_2Erat_2ERAT__AINV__ADD,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__add @ V0r1 @ V1r2 ) )
      = ( mono_2Ec_2Erat_2Erat__add @ ( mono_2Ec_2Erat_2Erat__ainv @ V0r1 ) @ ( mono_2Ec_2Erat_2Erat__ainv @ V1r2 ) ) ) ).

thf(thm_2Erat_2ERAT__AINV__SUB,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__sub @ V0r1 @ V1r2 ) )
      = ( mono_2Ec_2Erat_2Erat__sub @ V1r2 @ V0r1 ) ) ).

thf(thm_2Erat_2ERAT__AINV__RMUL,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__mul @ V0r1 @ V1r2 ) )
      = ( mono_2Ec_2Erat_2Erat__mul @ V0r1 @ ( mono_2Ec_2Erat_2Erat__ainv @ V1r2 ) ) ) ).

thf(thm_2Erat_2ERAT__AINV__LMUL,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__mul @ V0r1 @ V1r2 ) )
      = ( mono_2Ec_2Erat_2Erat__mul @ ( mono_2Ec_2Erat_2Erat__ainv @ V0r1 ) @ V1r2 ) ) ).

thf(thm_2Erat_2ERAT__AINV__EQ,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Erat_2Erat__ainv @ V0r1 )
        = V1r2 )
    <=> ( V0r1
        = ( mono_2Ec_2Erat_2Erat__ainv @ V1r2 ) ) ) ).

thf(thm_2Erat_2ERAT__EQ__AINV,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Erat_2Erat__ainv @ V0r1 )
        = ( mono_2Ec_2Erat_2Erat__ainv @ V1r2 ) )
    <=> ( V0r1 = V1r2 ) ) ).

thf(thm_2Erat_2ERAT__AINV__MINV,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat] :
      ( ( (~)
        @ ( V0r1
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
     => ( ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__minv @ V0r1 ) )
        = ( mono_2Ec_2Erat_2Erat__minv @ ( mono_2Ec_2Erat_2Erat__ainv @ V0r1 ) ) ) ) ).

thf(thm_2Erat_2ERAT__SUB__RDISTRIB,axiom,
    ! [V0a: mono_2Etyop_2Erat_2Erat,V1b: mono_2Etyop_2Erat_2Erat,V2c: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__mul @ ( mono_2Ec_2Erat_2Erat__sub @ V0a @ V1b ) @ V2c )
      = ( mono_2Ec_2Erat_2Erat__sub @ ( mono_2Ec_2Erat_2Erat__mul @ V0a @ V2c ) @ ( mono_2Ec_2Erat_2Erat__mul @ V1b @ V2c ) ) ) ).

thf(thm_2Erat_2ERAT__SUB__LDISTRIB,axiom,
    ! [V0a: mono_2Etyop_2Erat_2Erat,V1b: mono_2Etyop_2Erat_2Erat,V2c: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__mul @ V2c @ ( mono_2Ec_2Erat_2Erat__sub @ V0a @ V1b ) )
      = ( mono_2Ec_2Erat_2Erat__sub @ ( mono_2Ec_2Erat_2Erat__mul @ V2c @ V0a ) @ ( mono_2Ec_2Erat_2Erat__mul @ V2c @ V1b ) ) ) ).

thf(thm_2Erat_2ERAT__SUB__LID,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__sub @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V0r1 )
      = ( mono_2Ec_2Erat_2Erat__ainv @ V0r1 ) ) ).

thf(thm_2Erat_2ERAT__SUB__RID,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__sub @ V0r1 @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
      = V0r1 ) ).

thf(thm_2Erat_2ERAT__SUB__ID,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__sub @ V0r @ V0r )
      = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ).

thf(thm_2Erat_2ERAT__EQ__SUB0,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Erat_2Erat__sub @ V0r1 @ V1r2 )
        = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
    <=> ( V0r1 = V1r2 ) ) ).

thf(thm_2Erat_2ERAT__EQ__0SUB,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 )
        = ( mono_2Ec_2Erat_2Erat__sub @ V0r1 @ V1r2 ) )
    <=> ( V0r1 = V1r2 ) ) ).

thf(thm_2Erat_2ERAT__SGN__CALCULATE,axiom,
    ! [V0f1: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Erat__sgn @ ( mono_2Ec_2Erat_2Eabs__rat @ V0f1 ) )
      = ( mono_2Ec_2Efrac_2Efrac__sgn @ V0f1 ) ) ).

thf(thm_2Erat_2ERAT__SGN__CLAUSES,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat] :
      ( ( ( ( mono_2Ec_2Erat_2Erat__sgn @ V0r1 )
          = ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) )
      <=> ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
      & ( ( ( mono_2Ec_2Erat_2Erat__sgn @ V0r1 )
          = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) )
      <=> ( V0r1
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
      & ( ( ( mono_2Ec_2Erat_2Erat__sgn @ V0r1 )
          = ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) )
      <=> ( mono_2Ec_2Erat_2Erat__gre @ V0r1 @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ).

thf(thm_2Erat_2ERAT__SGN__0,axiom,
    ( ( mono_2Ec_2Erat_2Erat__sgn @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
    = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ).

thf(thm_2Erat_2ERAT__SGN__AINV,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Erat_2Erat__sgn @ ( mono_2Ec_2Erat_2Erat__ainv @ V0r1 ) ) )
      = ( mono_2Ec_2Erat_2Erat__sgn @ V0r1 ) ) ).

thf(thm_2Erat_2ERAT__SGN__MUL,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__sgn @ ( mono_2Ec_2Erat_2Erat__mul @ V0r1 @ V1r2 ) )
      = ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Erat_2Erat__sgn @ V0r1 ) @ ( mono_2Ec_2Erat_2Erat__sgn @ V1r2 ) ) ) ).

thf(thm_2Erat_2ERAT__SGN__MINV,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat] :
      ( ( (~)
        @ ( V0r1
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
     => ( ( mono_2Ec_2Erat_2Erat__sgn @ ( mono_2Ec_2Erat_2Erat__minv @ V0r1 ) )
        = ( mono_2Ec_2Erat_2Erat__sgn @ V0r1 ) ) ) ).

thf(thm_2Erat_2ERAT__SGN__TOTAL,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Erat_2Erat__sgn @ V0r1 )
        = ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) )
      | ( ( mono_2Ec_2Erat_2Erat__sgn @ V0r1 )
        = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) )
      | ( ( mono_2Ec_2Erat_2Erat__sgn @ V0r1 )
        = ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ).

thf(thm_2Erat_2ERAT__SGN__COMPLEMENT,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat] :
      ( ( ( (~)
          @ ( ( mono_2Ec_2Erat_2Erat__sgn @ V0r1 )
            = ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) )
      <=> ( ( ( mono_2Ec_2Erat_2Erat__sgn @ V0r1 )
            = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) )
          | ( ( mono_2Ec_2Erat_2Erat__sgn @ V0r1 )
            = ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) )
      & ( ( (~)
          @ ( ( mono_2Ec_2Erat_2Erat__sgn @ V0r1 )
            = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) )
      <=> ( ( ( mono_2Ec_2Erat_2Erat__sgn @ V0r1 )
            = ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) )
          | ( ( mono_2Ec_2Erat_2Erat__sgn @ V0r1 )
            = ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) )
      & ( ( (~)
          @ ( ( mono_2Ec_2Erat_2Erat__sgn @ V0r1 )
            = ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) )
      <=> ( ( ( mono_2Ec_2Erat_2Erat__sgn @ V0r1 )
            = ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) )
          | ( ( mono_2Ec_2Erat_2Erat__sgn @ V0r1 )
            = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ) ).

thf(thm_2Erat_2ERAT__LES__REF,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat] : ( (~) @ ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ V0r1 ) ) ).

thf(thm_2Erat_2ERAT__LES__ANTISYM,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ V1r2 )
     => ( (~) @ ( mono_2Ec_2Erat_2Erat__les @ V1r2 @ V0r1 ) ) ) ).

thf(thm_2Erat_2ERAT__LES__TRANS,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ V1r2 )
        & ( mono_2Ec_2Erat_2Erat__les @ V1r2 @ V2r3 ) )
     => ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ V2r3 ) ) ).

thf(thm_2Erat_2ERAT__LES__TOTAL,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ V1r2 )
      | ( V0r1 = V1r2 )
      | ( mono_2Ec_2Erat_2Erat__les @ V1r2 @ V0r1 ) ) ).

thf(thm_2Erat_2ERAT__LEQ__REF,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__leq @ V0r1 @ V0r1 ) ).

thf(thm_2Erat_2ERAT__LEQ__ANTISYM,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Erat_2Erat__leq @ V0r1 @ V1r2 )
        & ( mono_2Ec_2Erat_2Erat__leq @ V1r2 @ V0r1 ) )
     => ( V0r1 = V1r2 ) ) ).

thf(thm_2Erat_2ERAT__LEQ__TRANS,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Erat_2Erat__leq @ V0r1 @ V1r2 )
        & ( mono_2Ec_2Erat_2Erat__leq @ V1r2 @ V2r3 ) )
     => ( mono_2Ec_2Erat_2Erat__leq @ V0r1 @ V2r3 ) ) ).

thf(thm_2Erat_2ERAT__LES__01,axiom,
    mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ).

thf(thm_2Erat_2ERAT__LES__IMP__LEQ,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ V1r2 )
     => ( mono_2Ec_2Erat_2Erat__leq @ V0r1 @ V1r2 ) ) ).

thf(thm_2Erat_2ERAT__LES__IMP__NEQ,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ V1r2 )
     => ( (~) @ ( V0r1 = V1r2 ) ) ) ).

thf(thm_2Erat_2ERAT__LEQ__LES,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( (~) @ ( mono_2Ec_2Erat_2Erat__les @ V1r2 @ V0r1 ) )
    <=> ( mono_2Ec_2Erat_2Erat__leq @ V0r1 @ V1r2 ) ) ).

thf(thm_2Erat_2ERAT__LES__LEQ,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( (~) @ ( mono_2Ec_2Erat_2Erat__leq @ V1r2 @ V0r1 ) )
    <=> ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ V1r2 ) ) ).

thf(thm_2Erat_2ERAT__LES__LEQ2,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ V1r2 )
    <=> ( ( mono_2Ec_2Erat_2Erat__leq @ V0r1 @ V1r2 )
        & ( (~) @ ( mono_2Ec_2Erat_2Erat__leq @ V1r2 @ V0r1 ) ) ) ) ).

thf(thm_2Erat_2ERAT__LES__LEQ__TRANS,axiom,
    ! [V0a: mono_2Etyop_2Erat_2Erat,V1b: mono_2Etyop_2Erat_2Erat,V2c: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Erat_2Erat__les @ V0a @ V1b )
        & ( mono_2Ec_2Erat_2Erat__leq @ V1b @ V2c ) )
     => ( mono_2Ec_2Erat_2Erat__les @ V0a @ V2c ) ) ).

thf(thm_2Erat_2ERAT__LEQ__LES__TRANS,axiom,
    ! [V0a: mono_2Etyop_2Erat_2Erat,V1b: mono_2Etyop_2Erat_2Erat,V2c: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Erat_2Erat__leq @ V0a @ V1b )
        & ( mono_2Ec_2Erat_2Erat__les @ V1b @ V2c ) )
     => ( mono_2Ec_2Erat_2Erat__les @ V0a @ V2c ) ) ).

thf(thm_2Erat_2ERAT__0LES__0LES__ADD,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V0r1 )
     => ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V1r2 )
       => ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Erat_2Erat__add @ V0r1 @ V1r2 ) ) ) ) ).

thf(thm_2Erat_2ERAT__LES0__LES0__ADD,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
     => ( ( mono_2Ec_2Erat_2Erat__les @ V1r2 @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
       => ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__add @ V0r1 @ V1r2 ) @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ).

thf(thm_2Erat_2ERAT__0LES__0LEQ__ADD,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V0r1 )
     => ( ( mono_2Ec_2Erat_2Erat__leq @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V1r2 )
       => ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Erat_2Erat__add @ V0r1 @ V1r2 ) ) ) ) ).

thf(thm_2Erat_2ERAT__LES0__LEQ0__ADD,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
     => ( ( mono_2Ec_2Erat_2Erat__leq @ V1r2 @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
       => ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__add @ V0r1 @ V1r2 ) @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ).

thf(thm_2Erat_2ERAT__LSUB__EQ,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Erat_2Erat__sub @ V0r1 @ V1r2 )
        = V2r3 )
    <=> ( V0r1
        = ( mono_2Ec_2Erat_2Erat__add @ V1r2 @ V2r3 ) ) ) ).

thf(thm_2Erat_2ERAT__RSUB__EQ,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( V0r1
        = ( mono_2Ec_2Erat_2Erat__sub @ V1r2 @ V2r3 ) )
    <=> ( ( mono_2Ec_2Erat_2Erat__add @ V0r1 @ V2r3 )
        = V1r2 ) ) ).

thf(thm_2Erat_2ERAT__LDIV__EQ,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( (~)
        @ ( V1r2
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
     => ( ( ( mono_2Ec_2Erat_2Erat__div @ V0r1 @ V1r2 )
          = V2r3 )
      <=> ( V0r1
          = ( mono_2Ec_2Erat_2Erat__mul @ V1r2 @ V2r3 ) ) ) ) ).

thf(thm_2Erat_2ERAT__RDIV__EQ,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( (~)
        @ ( V2r3
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
     => ( ( V0r1
          = ( mono_2Ec_2Erat_2Erat__div @ V1r2 @ V2r3 ) )
      <=> ( ( mono_2Ec_2Erat_2Erat__mul @ V0r1 @ V2r3 )
          = V1r2 ) ) ) ).

thf(thm_2Erat_2ERAT__AINV__ONE__ONE,axiom,
    mono_2Ec_2Ebool_2EONE__ONE_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat @ mono_2Ec_2Erat_2Erat__ainv ).

thf(thm_2Erat_2ERAT__ADD__ONE__ONE,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Ebool_2EONE__ONE_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat @ ( mono_2Ec_2Erat_2Erat__add @ V0r1 ) ) ).

thf(thm_2Erat_2ERAT__MUL__ONE__ONE,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat] :
      ( ( (~)
        @ ( V0r1
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
    <=> ( mono_2Ec_2Ebool_2EONE__ONE_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat @ ( mono_2Ec_2Erat_2Erat__mul @ V0r1 ) ) ) ).

thf(thm_2Erat_2ERAT__EQ__LADD,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Erat_2Erat__add @ V2r3 @ V0r1 )
        = ( mono_2Ec_2Erat_2Erat__add @ V2r3 @ V1r2 ) )
    <=> ( V0r1 = V1r2 ) ) ).

thf(thm_2Erat_2ERAT__EQ__RADD,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Erat_2Erat__add @ V0r1 @ V2r3 )
        = ( mono_2Ec_2Erat_2Erat__add @ V1r2 @ V2r3 ) )
    <=> ( V0r1 = V1r2 ) ) ).

thf(thm_2Erat_2ERAT__EQ__RMUL,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( (~)
        @ ( V2r3
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
     => ( ( ( mono_2Ec_2Erat_2Erat__mul @ V0r1 @ V2r3 )
          = ( mono_2Ec_2Erat_2Erat__mul @ V1r2 @ V2r3 ) )
      <=> ( V0r1 = V1r2 ) ) ) ).

thf(thm_2Erat_2ERAT__EQ__LMUL,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( (~)
        @ ( V2r3
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
     => ( ( ( mono_2Ec_2Erat_2Erat__mul @ V2r3 @ V0r1 )
          = ( mono_2Ec_2Erat_2Erat__mul @ V2r3 @ V1r2 ) )
      <=> ( V0r1 = V1r2 ) ) ) ).

thf(thm_2Erat_2ERAT__LES__RADD,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__add @ V0r1 @ V2r3 ) @ ( mono_2Ec_2Erat_2Erat__add @ V1r2 @ V2r3 ) )
      = ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ V1r2 ) ) ).

thf(thm_2Erat_2ERAT__LES__LADD,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__add @ V2r3 @ V0r1 ) @ ( mono_2Ec_2Erat_2Erat__add @ V2r3 @ V1r2 ) )
      = ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ V1r2 ) ) ).

thf(thm_2Erat_2ERAT__LEQ__RADD,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__leq @ ( mono_2Ec_2Erat_2Erat__add @ V0r1 @ V2r3 ) @ ( mono_2Ec_2Erat_2Erat__add @ V1r2 @ V2r3 ) )
      = ( mono_2Ec_2Erat_2Erat__leq @ V0r1 @ V1r2 ) ) ).

thf(thm_2Erat_2ERAT__LEQ__LADD,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__leq @ ( mono_2Ec_2Erat_2Erat__add @ V2r3 @ V0r1 ) @ ( mono_2Ec_2Erat_2Erat__add @ V2r3 @ V1r2 ) )
      = ( mono_2Ec_2Erat_2Erat__leq @ V0r1 @ V1r2 ) ) ).

thf(thm_2Erat_2ERAT__ADD__MONO,axiom,
    ! [V0a: mono_2Etyop_2Erat_2Erat,V1b: mono_2Etyop_2Erat_2Erat,V2c: mono_2Etyop_2Erat_2Erat,V3d: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Erat_2Erat__leq @ V0a @ V1b )
        & ( mono_2Ec_2Erat_2Erat__leq @ V2c @ V3d ) )
     => ( mono_2Ec_2Erat_2Erat__leq @ ( mono_2Ec_2Erat_2Erat__add @ V0a @ V2c ) @ ( mono_2Ec_2Erat_2Erat__add @ V1b @ V3d ) ) ) ).

thf(thm_2Erat_2ERAT__LES__AINV,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__ainv @ V0r1 ) @ ( mono_2Ec_2Erat_2Erat__ainv @ V1r2 ) )
      = ( mono_2Ec_2Erat_2Erat__les @ V1r2 @ V0r1 ) ) ).

thf(thm_2Erat_2ERAT__LSUB__LES,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__sub @ V0r1 @ V1r2 ) @ V2r3 )
      = ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ ( mono_2Ec_2Erat_2Erat__add @ V1r2 @ V2r3 ) ) ) ).

thf(thm_2Erat_2ERAT__RSUB__LES,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ ( mono_2Ec_2Erat_2Erat__sub @ V1r2 @ V2r3 ) )
      = ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__add @ V0r1 @ V2r3 ) @ V1r2 ) ) ).

thf(thm_2Erat_2ERAT__LSUB__LEQ,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__leq @ ( mono_2Ec_2Erat_2Erat__sub @ V0r1 @ V1r2 ) @ V2r3 )
      = ( mono_2Ec_2Erat_2Erat__leq @ V0r1 @ ( mono_2Ec_2Erat_2Erat__add @ V1r2 @ V2r3 ) ) ) ).

thf(thm_2Erat_2ERAT__RSUB__LEQ,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__leq @ V0r1 @ ( mono_2Ec_2Erat_2Erat__sub @ V1r2 @ V2r3 ) )
      = ( mono_2Ec_2Erat_2Erat__leq @ ( mono_2Ec_2Erat_2Erat__add @ V0r1 @ V2r3 ) @ V1r2 ) ) ).

thf(thm_2Erat_2ERAT__LES__RMUL__POS,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V2r3 )
     => ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__mul @ V0r1 @ V2r3 ) @ ( mono_2Ec_2Erat_2Erat__mul @ V1r2 @ V2r3 ) )
        = ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ V1r2 ) ) ) ).

thf(thm_2Erat_2ERAT__LES__LMUL__POS,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V2r3 )
     => ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__mul @ V2r3 @ V0r1 ) @ ( mono_2Ec_2Erat_2Erat__mul @ V2r3 @ V1r2 ) )
        = ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ V1r2 ) ) ) ).

thf(thm_2Erat_2ERAT__LES__RMUL__NEG,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ V2r3 @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
     => ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__mul @ V1r2 @ V2r3 ) @ ( mono_2Ec_2Erat_2Erat__mul @ V0r1 @ V2r3 ) )
        = ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ V1r2 ) ) ) ).

thf(thm_2Erat_2ERAT__LES__LMUL__NEG,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ V2r3 @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
     => ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__mul @ V2r3 @ V1r2 ) @ ( mono_2Ec_2Erat_2Erat__mul @ V2r3 @ V0r1 ) )
        = ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ V1r2 ) ) ) ).

thf(thm_2Erat_2ERAT__AINV__LES,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__ainv @ V0r1 ) @ V1r2 )
      = ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__ainv @ V1r2 ) @ V0r1 ) ) ).

thf(thm_2Erat_2ERAT__LDIV__LES__POS,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V1r2 )
     => ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__div @ V0r1 @ V1r2 ) @ V2r3 )
        = ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ ( mono_2Ec_2Erat_2Erat__mul @ V1r2 @ V2r3 ) ) ) ) ).

thf(thm_2Erat_2ERAT__LDIV__LES__NEG,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ V1r2 @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
     => ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__div @ V0r1 @ V1r2 ) @ V2r3 )
        = ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__mul @ V1r2 @ V2r3 ) @ V0r1 ) ) ) ).

thf(thm_2Erat_2ERAT__RDIV__LES__POS,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V2r3 )
     => ( ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ ( mono_2Ec_2Erat_2Erat__div @ V1r2 @ V2r3 ) )
        = ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__mul @ V0r1 @ V2r3 ) @ V1r2 ) ) ) ).

thf(thm_2Erat_2ERAT__RDIV__LES__NEG,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ V2r3 @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
     => ( ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ ( mono_2Ec_2Erat_2Erat__div @ V1r2 @ V2r3 ) )
        = ( mono_2Ec_2Erat_2Erat__les @ V1r2 @ ( mono_2Ec_2Erat_2Erat__mul @ V0r1 @ V2r3 ) ) ) ) ).

thf(thm_2Erat_2ERAT__LDIV__LEQ__POS,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V1r2 )
     => ( ( mono_2Ec_2Erat_2Erat__leq @ ( mono_2Ec_2Erat_2Erat__div @ V0r1 @ V1r2 ) @ V2r3 )
        = ( mono_2Ec_2Erat_2Erat__leq @ V0r1 @ ( mono_2Ec_2Erat_2Erat__mul @ V1r2 @ V2r3 ) ) ) ) ).

thf(thm_2Erat_2ERAT__LDIV__LEQ__NEG,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ V1r2 @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
     => ( ( mono_2Ec_2Erat_2Erat__leq @ ( mono_2Ec_2Erat_2Erat__div @ V0r1 @ V1r2 ) @ V2r3 )
        = ( mono_2Ec_2Erat_2Erat__leq @ ( mono_2Ec_2Erat_2Erat__mul @ V1r2 @ V2r3 ) @ V0r1 ) ) ) ).

thf(thm_2Erat_2ERAT__RDIV__LEQ__POS,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V2r3 )
     => ( ( mono_2Ec_2Erat_2Erat__leq @ V0r1 @ ( mono_2Ec_2Erat_2Erat__div @ V1r2 @ V2r3 ) )
        = ( mono_2Ec_2Erat_2Erat__leq @ ( mono_2Ec_2Erat_2Erat__mul @ V0r1 @ V2r3 ) @ V1r2 ) ) ) ).

thf(thm_2Erat_2ERAT__RDIV__LEQ__NEG,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r3: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ V2r3 @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
     => ( ( mono_2Ec_2Erat_2Erat__leq @ V0r1 @ ( mono_2Ec_2Erat_2Erat__div @ V1r2 @ V2r3 ) )
        = ( mono_2Ec_2Erat_2Erat__leq @ V1r2 @ ( mono_2Ec_2Erat_2Erat__mul @ V0r1 @ V2r3 ) ) ) ) ).

thf(thm_2Erat_2ERAT__LES__SUB0,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__sub @ V0r1 @ V1r2 ) @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
      = ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ V1r2 ) ) ).

thf(thm_2Erat_2ERAT__LES__0SUB,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Erat_2Erat__sub @ V0r1 @ V1r2 ) )
      = ( mono_2Ec_2Erat_2Erat__les @ V1r2 @ V0r1 ) ) ).

thf(thm_2Erat_2ERAT__MINV__LES,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V0r1 )
     => ( ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__minv @ V0r1 ) @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
          = ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
        & ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Erat_2Erat__minv @ V0r1 ) )
          = ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V0r1 ) ) ) ) ).

thf(thm_2Erat_2ERAT__MUL__SIGN__CASES,axiom,
    ! [V0p: mono_2Etyop_2Erat_2Erat,V1q: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Erat_2Erat__mul @ V0p @ V1q ) )
      <=> ( ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V0p )
            & ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V1q ) )
          | ( ( mono_2Ec_2Erat_2Erat__les @ V0p @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
            & ( mono_2Ec_2Erat_2Erat__les @ V1q @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) )
      & ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__mul @ V0p @ V1q ) @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
      <=> ( ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V0p )
            & ( mono_2Ec_2Erat_2Erat__les @ V1q @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
          | ( ( mono_2Ec_2Erat_2Erat__les @ V0p @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
            & ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V1q ) ) ) ) ) ).

thf(thm_2Erat_2ERAT__NO__ZERODIV,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( ( V0r1
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
        | ( V1r2
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
    <=> ( ( mono_2Ec_2Erat_2Erat__mul @ V0r1 @ V1r2 )
        = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ).

thf(thm_2Erat_2ERAT__NO__ZERODIV__THM,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Erat_2Erat__mul @ V0r1 @ V1r2 )
        = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
    <=> ( ( V0r1
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
        | ( V1r2
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ).

thf(thm_2Erat_2ERAT__NO__ZERODIV__NEG,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( (~)
        @ ( ( mono_2Ec_2Erat_2Erat__mul @ V0r1 @ V1r2 )
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
    <=> ( ( (~)
          @ ( V0r1
            = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
        & ( (~)
          @ ( V1r2
            = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ) ).

thf(thm_2Erat_2ERAT__NO__IDDIV,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Erat_2Erat__mul @ V0r1 @ V1r2 )
        = V1r2 )
    <=> ( ( V0r1
          = ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) )
        | ( V1r2
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ).

thf(thm_2Erat_2ERDIV__MUL__OUT,axiom,
    ! [V0r3: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r1: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__mul @ V2r1 @ ( mono_2Ec_2Erat_2Erat__div @ V1r2 @ V0r3 ) )
      = ( mono_2Ec_2Erat_2Erat__div @ ( mono_2Ec_2Erat_2Erat__mul @ V2r1 @ V1r2 ) @ V0r3 ) ) ).

thf(thm_2Erat_2ELDIV__MUL__OUT,axiom,
    ! [V0r3: mono_2Etyop_2Erat_2Erat,V1r2: mono_2Etyop_2Erat_2Erat,V2r1: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__mul @ ( mono_2Ec_2Erat_2Erat__div @ V2r1 @ V1r2 ) @ V0r3 )
      = ( mono_2Ec_2Erat_2Erat__div @ ( mono_2Ec_2Erat_2Erat__mul @ V2r1 @ V0r3 ) @ V1r2 ) ) ).

thf(thm_2Erat_2ERAT__DENSE__THM,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat,V1r3: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ V1r3 )
     => ? [V2r2: mono_2Etyop_2Erat_2Erat] :
          ( ( mono_2Ec_2Erat_2Erat__les @ V0r1 @ V2r2 )
          & ( mono_2Ec_2Erat_2Erat__les @ V2r2 @ V1r3 ) ) ) ).

thf(thm_2Erat_2ERAT__SAVE,axiom,
    ! [V0r1: mono_2Etyop_2Erat_2Erat] :
    ? [V1a1: mono_2Etyop_2Einteger_2Eint,V2b1: mono_2Etyop_2Enum_2Enum] :
      ( V0r1
      = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__save @ V1a1 @ V2b1 ) ) ) ).

thf(thm_2Erat_2ERAT__SAVE__MINV,axiom,
    ! [V0a1: mono_2Etyop_2Einteger_2Eint,V1b1: mono_2Etyop_2Enum_2Enum] :
      ( ( (~)
        @ ( ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__save @ V0a1 @ V1b1 ) )
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
     => ( ( mono_2Ec_2Erat_2Erat__minv @ ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__save @ V0a1 @ V1b1 ) ) )
        = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__save @ ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2EintExtension_2ESGN @ V0a1 ) @ ( mono_2Ec_2Einteger_2Eint__add @ ( mono_2Ec_2Einteger_2Eint__of__num @ V1b1 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) @ ( mono_2Ec_2Einteger_2ENum @ ( mono_2Ec_2Einteger_2Eint__sub @ ( mono_2Ec_2Einteger_2EABS @ V0a1 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ).

thf(thm_2Erat_2ERAT__SAVE__TO__CONS,axiom,
    ! [V0a1: mono_2Etyop_2Einteger_2Eint,V1b1: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__save @ V0a1 @ V1b1 ) )
      = ( mono_2Ec_2Erat_2Erat__cons @ V0a1 @ ( mono_2Ec_2Einteger_2Eint__add @ ( mono_2Ec_2Einteger_2Eint__of__num @ V1b1 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ) ).

thf(thm_2Erat_2ERAT__OF__NUM,axiom,
    ! [A_27a: d,V0n_2E0: u] :
      ( ( ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 )
        = mono_2Ec_2Erat_2Erat__0 )
      & ! [V1n: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Enum_2ESUC @ V1n ) )
          = ( mono_2Ec_2Erat_2Erat__add @ ( mono_2Ec_2Erat_2Erat__of__num @ V1n ) @ mono_2Ec_2Erat_2Erat__1 ) ) ) ).

thf(thm_2Erat_2ERAT__SAVE__NUM,axiom,
    ! [V0n: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Erat_2Erat__of__num @ V0n )
      = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Efrac__save @ ( mono_2Ec_2Einteger_2Eint__of__num @ V0n ) @ mono_2Ec_2Enum_2E0 ) ) ) ).

thf(thm_2Erat_2ERAT__CONS__TO__NUM,axiom,
    ! [V0n: mono_2Etyop_2Enum_2Enum] :
      ( ( ( mono_2Ec_2Erat_2Erat__cons @ ( mono_2Ec_2Einteger_2Eint__of__num @ V0n ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) )
        = ( mono_2Ec_2Erat_2Erat__of__num @ V0n ) )
      & ( ( mono_2Ec_2Erat_2Erat__cons @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V0n ) ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) )
        = ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ V0n ) ) ) ) ).

thf(thm_2Erat_2ERAT__0,axiom,
    ( mono_2Ec_2Erat_2Erat__0
    = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ).

thf(thm_2Erat_2ERAT__1,axiom,
    ( mono_2Ec_2Erat_2Erat__1
    = ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ).

thf(thm_2Erat_2ERAT__MINV__1,axiom,
    ( ( mono_2Ec_2Erat_2Erat__minv @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) )
    = ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ).

thf(thm_2Erat_2ERAT__DIV__1,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__div @ V0r @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) )
      = V0r ) ).

thf(thm_2Erat_2ERAT__DIV__NEG1,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__div @ V0r @ ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) )
      = ( mono_2Ec_2Erat_2Erat__ainv @ V0r ) ) ).

thf(thm_2Erat_2ERAT__DIV__INV,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat] :
      ( ( (~)
        @ ( V0r
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
     => ( ( mono_2Ec_2Erat_2Erat__div @ V0r @ V0r )
        = ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ).

thf(thm_2Erat_2ERAT__MINV__MUL,axiom,
    ! [V0b: mono_2Etyop_2Erat_2Erat,V1a: mono_2Etyop_2Erat_2Erat] :
      ( ( ( (~)
          @ ( V1a
            = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
        & ( (~)
          @ ( V0b
            = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ) )
     => ( ( mono_2Ec_2Erat_2Erat__minv @ ( mono_2Ec_2Erat_2Erat__mul @ V1a @ V0b ) )
        = ( mono_2Ec_2Erat_2Erat__mul @ ( mono_2Ec_2Erat_2Erat__minv @ V1a ) @ ( mono_2Ec_2Erat_2Erat__minv @ V0b ) ) ) ) ).

thf(thm_2Erat_2ERAT__DIVDIV__MUL,axiom,
    ! [V0d: mono_2Etyop_2Erat_2Erat,V1c: mono_2Etyop_2Erat_2Erat,V2b: mono_2Etyop_2Erat_2Erat,V3a: mono_2Etyop_2Erat_2Erat] :
      ( ( ( (~)
          @ ( V2b
            = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
        & ( (~)
          @ ( V0d
            = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ) )
     => ( ( mono_2Ec_2Erat_2Erat__mul @ ( mono_2Ec_2Erat_2Erat__div @ V3a @ V2b ) @ ( mono_2Ec_2Erat_2Erat__div @ V1c @ V0d ) )
        = ( mono_2Ec_2Erat_2Erat__div @ ( mono_2Ec_2Erat_2Erat__mul @ V3a @ V1c ) @ ( mono_2Ec_2Erat_2Erat__mul @ V2b @ V0d ) ) ) ) ).

thf(thm_2Erat_2ERAT__DIVDIV__ADD,axiom,
    ! [V0y: mono_2Etyop_2Erat_2Erat,V1x: mono_2Etyop_2Erat_2Erat,V2b: mono_2Etyop_2Erat_2Erat,V3a: mono_2Etyop_2Erat_2Erat] :
      ( ( ( (~)
          @ ( V0y
            = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
        & ( (~)
          @ ( V2b
            = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ) )
     => ( ( mono_2Ec_2Erat_2Erat__add @ ( mono_2Ec_2Erat_2Erat__div @ V1x @ V0y ) @ ( mono_2Ec_2Erat_2Erat__div @ V3a @ V2b ) )
        = ( mono_2Ec_2Erat_2Erat__div @ ( mono_2Ec_2Erat_2Erat__add @ ( mono_2Ec_2Erat_2Erat__mul @ V1x @ V2b ) @ ( mono_2Ec_2Erat_2Erat__mul @ V3a @ V0y ) ) @ ( mono_2Ec_2Erat_2Erat__mul @ V0y @ V2b ) ) ) ) ).

thf(thm_2Erat_2ERAT__DIV__AINV,axiom,
    ! [V0y: mono_2Etyop_2Erat_2Erat,V1x: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__div @ V1x @ V0y ) )
      = ( mono_2Ec_2Erat_2Erat__div @ ( mono_2Ec_2Erat_2Erat__ainv @ V1x ) @ V0y ) ) ).

thf(thm_2Erat_2ERAT__MINV__EQ__0,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat] :
      ( ( (~)
        @ ( V0r
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
     => ( (~)
        @ ( ( mono_2Ec_2Erat_2Erat__minv @ V0r )
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ).

thf(thm_2Erat_2ERAT__DIV__MINV,axiom,
    ! [V0y: mono_2Etyop_2Erat_2Erat,V1x: mono_2Etyop_2Erat_2Erat] :
      ( ( ( (~)
          @ ( V1x
            = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
        & ( (~)
          @ ( V0y
            = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ) )
     => ( ( mono_2Ec_2Erat_2Erat__minv @ ( mono_2Ec_2Erat_2Erat__div @ V1x @ V0y ) )
        = ( mono_2Ec_2Erat_2Erat__div @ V0y @ V1x ) ) ) ).

thf(thm_2Erat_2ERAT__DIV__EQ0,axiom,
    ! [V0n: mono_2Etyop_2Erat_2Erat,V1d: mono_2Etyop_2Erat_2Erat] :
      ( ( (~)
        @ ( V1d
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
     => ( ( ( ( mono_2Ec_2Erat_2Erat__div @ V0n @ V1d )
            = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
        <=> ( V0n
            = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
        & ( ( ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 )
            = ( mono_2Ec_2Erat_2Erat__div @ V0n @ V1d ) )
        <=> ( V0n
            = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ) ).

thf(thm_2Erat_2ERAT__ADD__NUM__CALCULATE,axiom,
    ( ! [V0n: mono_2Etyop_2Enum_2Enum,V1m: mono_2Etyop_2Enum_2Enum] :
        ( ( mono_2Ec_2Erat_2Erat__add @ ( mono_2Ec_2Erat_2Erat__of__num @ V0n ) @ ( mono_2Ec_2Erat_2Erat__of__num @ V1m ) )
        = ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2E_2B @ V0n @ V1m ) ) )
    & ! [V2n: mono_2Etyop_2Enum_2Enum,V3m: mono_2Etyop_2Enum_2Enum] :
        ( ( mono_2Ec_2Erat_2Erat__add @ ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ V2n ) ) @ ( mono_2Ec_2Erat_2Erat__of__num @ V3m ) )
        = ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Erat_2Erat @ ( mono_2Ec_2Earithmetic_2E_3C_3D @ V2n @ V3m ) @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2E_2D @ V3m @ V2n ) ) @ ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2E_2D @ V2n @ V3m ) ) ) ) )
    & ! [V4n: mono_2Etyop_2Enum_2Enum,V5m: mono_2Etyop_2Enum_2Enum] :
        ( ( mono_2Ec_2Erat_2Erat__add @ ( mono_2Ec_2Erat_2Erat__of__num @ V4n ) @ ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ V5m ) ) )
        = ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Erat_2Erat @ ( mono_2Ec_2Earithmetic_2E_3C_3D @ V5m @ V4n ) @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2E_2D @ V4n @ V5m ) ) @ ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2E_2D @ V5m @ V4n ) ) ) ) )
    & ! [V6n: mono_2Etyop_2Enum_2Enum,V7m: mono_2Etyop_2Enum_2Enum] :
        ( ( mono_2Ec_2Erat_2Erat__add @ ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ V6n ) ) @ ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ V7m ) ) )
        = ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2E_2B @ V6n @ V7m ) ) ) ) ) ).

thf(thm_2Erat_2ERAT__MUL__NUM__CALCULATE,axiom,
    ( ! [V0n: mono_2Etyop_2Enum_2Enum,V1m: mono_2Etyop_2Enum_2Enum] :
        ( ( mono_2Ec_2Erat_2Erat__mul @ ( mono_2Ec_2Erat_2Erat__of__num @ V0n ) @ ( mono_2Ec_2Erat_2Erat__of__num @ V1m ) )
        = ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2E_2A @ V0n @ V1m ) ) )
    & ! [V2n: mono_2Etyop_2Enum_2Enum,V3m: mono_2Etyop_2Enum_2Enum] :
        ( ( mono_2Ec_2Erat_2Erat__mul @ ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ V2n ) ) @ ( mono_2Ec_2Erat_2Erat__of__num @ V3m ) )
        = ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2E_2A @ V2n @ V3m ) ) ) )
    & ! [V4n: mono_2Etyop_2Enum_2Enum,V5m: mono_2Etyop_2Enum_2Enum] :
        ( ( mono_2Ec_2Erat_2Erat__mul @ ( mono_2Ec_2Erat_2Erat__of__num @ V4n ) @ ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ V5m ) ) )
        = ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2E_2A @ V4n @ V5m ) ) ) )
    & ! [V6n: mono_2Etyop_2Enum_2Enum,V7m: mono_2Etyop_2Enum_2Enum] :
        ( ( mono_2Ec_2Erat_2Erat__mul @ ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ V6n ) ) @ ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ V7m ) ) )
        = ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2E_2A @ V6n @ V7m ) ) ) ) ).

thf(thm_2Erat_2ERAT__EQ__NUM__CALCULATE,axiom,
    ( ! [V0n: mono_2Etyop_2Enum_2Enum,V1m: mono_2Etyop_2Enum_2Enum] :
        ( ( ( mono_2Ec_2Erat_2Erat__of__num @ V0n )
          = ( mono_2Ec_2Erat_2Erat__of__num @ V1m ) )
      <=> ( V0n = V1m ) )
    & ! [V2n: mono_2Etyop_2Enum_2Enum,V3m: mono_2Etyop_2Enum_2Enum] :
        ( ( ( mono_2Ec_2Erat_2Erat__of__num @ V2n )
          = ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ V3m ) ) )
      <=> ( ( V2n = mono_2Ec_2Enum_2E0 )
          & ( V3m = mono_2Ec_2Enum_2E0 ) ) )
    & ! [V4n: mono_2Etyop_2Enum_2Enum,V5m: mono_2Etyop_2Enum_2Enum] :
        ( ( ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ V4n ) )
          = ( mono_2Ec_2Erat_2Erat__of__num @ V5m ) )
      <=> ( ( V4n = mono_2Ec_2Enum_2E0 )
          & ( V5m = mono_2Ec_2Enum_2E0 ) ) )
    & ! [V6n: mono_2Etyop_2Enum_2Enum,V7m: mono_2Etyop_2Enum_2Enum] :
        ( ( ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ V6n ) )
          = ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ V7m ) ) )
      <=> ( V6n = V7m ) ) ) ).

thf(thm_2Erat_2ERAT__LT__NUM__CALCULATE,axiom,
    ! [V0n: mono_2Etyop_2Enum_2Enum,V1m: mono_2Etyop_2Enum_2Enum,V2b: mono_2Etyop_2Enum_2Enum,V3a: mono_2Etyop_2Enum_2Enum] :
      ( ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ V3a ) @ ( mono_2Ec_2Erat_2Erat__of__num @ V2b ) )
        = ( mono_2Ec_2Eprim__rec_2E_3C @ V3a @ V2b ) )
      & ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ V1m ) ) @ ( mono_2Ec_2Erat_2Erat__of__num @ V0n ) )
      <=> ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ V1m )
          | ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ V0n ) ) )
      & ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ V1m ) @ ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ V0n ) ) )
        = mono_2Ec_2Ebool_2EF )
      & ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ V1m ) ) @ ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ V0n ) ) )
        = ( mono_2Ec_2Eprim__rec_2E_3C @ V0n @ V1m ) ) ) ).

thf(thm_2Erat_2ERAT__LE__NUM__CALCULATE,axiom,
    ! [V0n: mono_2Etyop_2Enum_2Enum,V1m: mono_2Etyop_2Enum_2Enum,V2b: mono_2Etyop_2Enum_2Enum,V3a: mono_2Etyop_2Enum_2Enum] :
      ( ( ( mono_2Ec_2Erat_2Erat__leq @ ( mono_2Ec_2Erat_2Erat__of__num @ V3a ) @ ( mono_2Ec_2Erat_2Erat__of__num @ V2b ) )
        = ( mono_2Ec_2Earithmetic_2E_3C_3D @ V3a @ V2b ) )
      & ( ( mono_2Ec_2Erat_2Erat__leq @ ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ V1m ) ) @ ( mono_2Ec_2Erat_2Erat__of__num @ V0n ) )
        = mono_2Ec_2Ebool_2ET )
      & ( ( mono_2Ec_2Erat_2Erat__leq @ ( mono_2Ec_2Erat_2Erat__of__num @ V1m ) @ ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ V0n ) ) )
      <=> ( ( V1m = mono_2Ec_2Enum_2E0 )
          & ( V0n = mono_2Ec_2Enum_2E0 ) ) )
      & ( ( mono_2Ec_2Erat_2Erat__leq @ ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ V1m ) ) @ ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__num @ V0n ) ) )
        = ( mono_2Ec_2Earithmetic_2E_3C_3D @ V0n @ V1m ) ) ) ).

thf(thm_2Erat_2Erat__of__int__11,axiom,
    ! [V0i2: mono_2Etyop_2Einteger_2Eint,V1i1: mono_2Etyop_2Einteger_2Eint] :
      ( ( ( mono_2Ec_2Erat_2Erat__of__int @ V1i1 )
        = ( mono_2Ec_2Erat_2Erat__of__int @ V0i2 ) )
    <=> ( V1i1 = V0i2 ) ) ).

thf(thm_2Erat_2Erat__of__int__of__num,axiom,
    ! [V0x: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Erat_2Erat__of__int @ ( mono_2Ec_2Einteger_2Eint__of__num @ V0x ) )
      = ( mono_2Ec_2Erat_2Erat__of__num @ V0x ) ) ).

thf(thm_2Erat_2Erat__of__int__MUL,axiom,
    ! [V0y: mono_2Etyop_2Einteger_2Eint,V1x: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Erat_2Erat__mul @ ( mono_2Ec_2Erat_2Erat__of__int @ V1x ) @ ( mono_2Ec_2Erat_2Erat__of__int @ V0y ) )
      = ( mono_2Ec_2Erat_2Erat__of__int @ ( mono_2Ec_2Einteger_2Eint__mul @ V1x @ V0y ) ) ) ).

thf(thm_2Erat_2Erat__of__int__ADD,axiom,
    ! [V0y: mono_2Etyop_2Einteger_2Eint,V1x: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Erat_2Erat__add @ ( mono_2Ec_2Erat_2Erat__of__int @ V1x ) @ ( mono_2Ec_2Erat_2Erat__of__int @ V0y ) )
      = ( mono_2Ec_2Erat_2Erat__of__int @ ( mono_2Ec_2Einteger_2Eint__add @ V1x @ V0y ) ) ) ).

thf(thm_2Erat_2Erat__of__int__LE,axiom,
    ! [V0j: mono_2Etyop_2Einteger_2Eint,V1i: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Erat_2Erat__leq @ ( mono_2Ec_2Erat_2Erat__of__int @ V1i ) @ ( mono_2Ec_2Erat_2Erat__of__int @ V0j ) )
      = ( mono_2Ec_2Einteger_2Eint__le @ V1i @ V0j ) ) ).

thf(thm_2Erat_2Erat__of__int__LT,axiom,
    ! [V0j: mono_2Etyop_2Einteger_2Eint,V1i: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__int @ V1i ) @ ( mono_2Ec_2Erat_2Erat__of__int @ V0j ) )
      = ( mono_2Ec_2Einteger_2Eint__lt @ V1i @ V0j ) ) ).

thf(thm_2Erat_2Erat__of__int__ainv,axiom,
    ! [V0i: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Erat_2Erat__of__int @ ( mono_2Ec_2Einteger_2Eint__neg @ V0i ) )
      = ( mono_2Ec_2Erat_2Erat__ainv @ ( mono_2Ec_2Erat_2Erat__of__int @ V0i ) ) ) ).

thf(thm_2Erat_2ERAT__OF__INT__CALCULATE,axiom,
    ! [V0i: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Erat_2Erat__of__int @ V0i )
      = ( mono_2Ec_2Erat_2Eabs__rat @ ( mono_2Ec_2Efrac_2Eabs__frac @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint @ V0i @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).

thf(thm_2Erat_2ERATD__NZERO,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Erat_2ERATD @ V0r ) )
      & ( (~)
        @ ( ( mono_2Ec_2Erat_2ERATD @ V0r )
          = mono_2Ec_2Enum_2E0 ) ) ) ).

thf(thm_2Erat_2ERATN__LEAST,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat,V1n_27: mono_2Etyop_2Einteger_2Eint,V2d_27: mono_2Etyop_2Enum_2Enum] :
      ( ( ( V0r
          = ( mono_2Ec_2Erat_2Erat__div @ ( mono_2Ec_2Erat_2Erat__of__int @ V1n_27 ) @ ( mono_2Ec_2Erat_2Erat__of__num @ V2d_27 ) ) )
        & ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ V2d_27 ) )
     => ( mono_2Ec_2Einteger_2Eint__le @ ( mono_2Ec_2Einteger_2EABS @ ( mono_2Ec_2Erat_2ERATN @ V0r ) ) @ ( mono_2Ec_2Einteger_2EABS @ V1n_27 ) ) ) ).

thf(thm_2Erat_2ERATN__RATD__EQ__THM,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat] :
      ( V0r
      = ( mono_2Ec_2Erat_2Erat__div @ ( mono_2Ec_2Erat_2Erat__of__int @ ( mono_2Ec_2Erat_2ERATN @ V0r ) ) @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Erat_2ERATD @ V0r ) ) ) ) ).

thf(thm_2Erat_2ERATN__RATD__MULT,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__mul @ V0r @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Erat_2ERATD @ V0r ) ) )
      = ( mono_2Ec_2Erat_2Erat__of__int @ ( mono_2Ec_2Erat_2ERATN @ V0r ) ) ) ).

thf(thm_2Erat_2ERATND__RAT__OF__NUM,axiom,
    ! [V0n: mono_2Etyop_2Enum_2Enum] :
      ( ( ( mono_2Ec_2Erat_2ERATN @ ( mono_2Ec_2Erat_2Erat__of__num @ V0n ) )
        = ( mono_2Ec_2Einteger_2Eint__of__num @ V0n ) )
      & ( ( mono_2Ec_2Erat_2ERATD @ ( mono_2Ec_2Erat_2Erat__of__num @ V0n ) )
        = ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ).

thf(thm_2Erat_2ERATN__EQ0,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat] :
      ( ( ( ( mono_2Ec_2Erat_2ERATN @ V0r )
          = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) )
      <=> ( V0r
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
      & ( ( ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 )
          = ( mono_2Ec_2Erat_2ERATN @ V0r ) )
      <=> ( V0r
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ).

thf(thm_2Erat_2ERATN__SIGN,axiom,
    ! [V0x: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Erat_2ERATN @ V0x ) )
        = ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V0x ) )
      & ( ( mono_2Ec_2Einteger_2Eint__le @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Erat_2ERATN @ V0x ) )
        = ( mono_2Ec_2Erat_2Erat__leq @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V0x ) )
      & ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Erat_2ERATN @ V0x ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) )
        = ( mono_2Ec_2Erat_2Erat__les @ V0x @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
      & ( ( mono_2Ec_2Einteger_2Eint__le @ ( mono_2Ec_2Erat_2ERATN @ V0x ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) )
        = ( mono_2Ec_2Erat_2Erat__leq @ V0x @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ).

thf(thm_2Erat_2ERAT__AINV__SGN,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Erat_2Erat__ainv @ V0r ) )
        = ( mono_2Ec_2Erat_2Erat__les @ V0r @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
      & ( ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__ainv @ V0r ) @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) )
        = ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V0r ) ) ) ).

thf(thm_2Erat_2ERATN__NEG,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2ERATN @ ( mono_2Ec_2Erat_2Erat__ainv @ V0r ) )
      = ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Erat_2ERATN @ V0r ) ) ) ).

thf(thm_2Erat_2ERATD__NEG,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2ERATD @ ( mono_2Ec_2Erat_2Erat__ainv @ V0r ) )
      = ( mono_2Ec_2Erat_2ERATD @ V0r ) ) ).

thf(thm_2Erat_2ERATN__RATD__RAT__OF__INT,axiom,
    ! [V0i: mono_2Etyop_2Einteger_2Eint] :
      ( ( ( mono_2Ec_2Erat_2ERATN @ ( mono_2Ec_2Erat_2Erat__of__int @ V0i ) )
        = V0i )
      & ( ( mono_2Ec_2Erat_2ERATD @ ( mono_2Ec_2Erat_2Erat__of__int @ V0i ) )
        = ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ).

thf(thm_2Erat_2ERATN__DIV__RATD,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__div @ ( mono_2Ec_2Erat_2Erat__of__int @ ( mono_2Ec_2Erat_2ERATN @ V0r ) ) @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Erat_2ERATD @ V0r ) ) )
      = V0r ) ).

thf(thm_2Erat_2ERAT__AINV__EQ__NUM,axiom,
    ! [V0x: mono_2Etyop_2Erat_2Erat,V1n: mono_2Etyop_2Enum_2Enum] :
      ( ( ( mono_2Ec_2Erat_2Erat__ainv @ V0x )
        = ( mono_2Ec_2Erat_2Erat__of__num @ V1n ) )
    <=> ( V0x
        = ( mono_2Ec_2Erat_2Erat__of__int @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ V1n ) ) ) ) ) ).

thf(thm_2Erat_2ERAT__SGN__NUM__COND,axiom,
    ! [F0: mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V0n: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V0n )
        <=> ( V0n = mono_2Ec_2Enum_2E0 ) )
     => ! [V0n: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2Erat_2Erat__sgn @ ( mono_2Ec_2Erat_2Erat__of__num @ V0n ) )
          = ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Einteger_2Eint @ ( F0 @ V0n ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ) ).

thf(thm_2Erat_2ERAT__SGN__AINV__RWT,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__sgn @ ( mono_2Ec_2Erat_2Erat__ainv @ V0r ) )
      = ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Erat_2Erat__sgn @ V0r ) ) ) ).

thf(thm_2Erat_2ERAT__SGN__ALT,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__sgn @ V0r )
      = ( mono_2Ec_2EintExtension_2ESGN @ ( mono_2Ec_2Erat_2ERATN @ V0r ) ) ) ).

thf(thm_2Erat_2ERAT__SGN__NUM__BITs,axiom,
    ! [V0n: mono_2Etyop_2Enum_2Enum] :
      ( ( ( mono_2Ec_2Erat_2Erat__sgn @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ V0n ) ) ) )
        = ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) )
      & ( ( mono_2Ec_2Erat_2Erat__sgn @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ V0n ) ) ) )
        = ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ).

thf(thm_2Erat_2ERAT__SGN__EQ0,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat] :
      ( ( ( ( mono_2Ec_2Erat_2Erat__sgn @ V0r )
          = ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) )
      <=> ( V0r
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
      & ( ( ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 )
          = ( mono_2Ec_2Erat_2Erat__sgn @ V0r ) )
      <=> ( V0r
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ).

thf(thm_2Erat_2ERAT__SGN__POS,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Erat_2Erat__sgn @ V0r )
        = ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) )
    <=> ( mono_2Ec_2Erat_2Erat__les @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) @ V0r ) ) ).

thf(thm_2Erat_2ERAT__SGN__NEG,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Erat_2Erat__sgn @ V0r )
        = ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) )
    <=> ( mono_2Ec_2Erat_2Erat__les @ V0r @ ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ).

thf(thm_2Erat_2ERAT__SGN__DIV,axiom,
    ! [V0n: mono_2Etyop_2Erat_2Erat,V1d: mono_2Etyop_2Erat_2Erat] :
      ( ( (~)
        @ ( V1d
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
     => ( ( mono_2Ec_2Erat_2Erat__sgn @ ( mono_2Ec_2Erat_2Erat__div @ V0n @ V1d ) )
        = ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Erat_2Erat__sgn @ V0n ) @ ( mono_2Ec_2Erat_2Erat__sgn @ V1d ) ) ) ) ).

thf(thm_2Erat_2ERAT__MINV__RATND,axiom,
    ! [V0r: mono_2Etyop_2Erat_2Erat] :
      ( ( (~)
        @ ( V0r
          = ( mono_2Ec_2Erat_2Erat__of__num @ mono_2Ec_2Enum_2E0 ) ) )
     => ( ( mono_2Ec_2Erat_2Erat__minv @ V0r )
        = ( mono_2Ec_2Erat_2Erat__div @ ( mono_2Ec_2Erat_2Erat__mul @ ( mono_2Ec_2Erat_2Erat__of__int @ ( mono_2Ec_2Erat_2Erat__sgn @ V0r ) ) @ ( mono_2Ec_2Erat_2Erat__of__num @ ( mono_2Ec_2Erat_2ERATD @ V0r ) ) ) @ ( mono_2Ec_2Erat_2Erat__of__int @ ( mono_2Ec_2Einteger_2EABS @ ( mono_2Ec_2Erat_2ERATN @ V0r ) ) ) ) ) ) ).

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