ITP001 Axioms: ITP106^4.ax


%------------------------------------------------------------------------------
% File     : ITP106^4 : 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    : DeepSyntax.ax [Gau19]
%          : HL4106^4.ax [TPAP]

% Status   : Satisfiable
% Syntax   : Number of formulae    :  599 ( 240 unt; 325 typ;   0 def)
%            Number of atoms       :  814 ( 417 equ;  32 cnn)
%            Maximal formula atoms :   56 (   1 avg)
%            Number of connectives : 8379 (  32   ~;  31   |; 220   &;7994   @)
%                                         (  56 <=>;  46  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   34 (   4 avg;7994 nst)
%            Number of types       :   10 (   9 usr)
%            Number of type conns  : 1588 (1588   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  318 ( 316 usr;  67 con; 0-9 aty)
%            Number of variables   :  902 (   0   ^ 812   !;  90   ?; 902   :)
% 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_2EDeepSyntax_2Edeep__form,type,
    mono_2Etyop_2EDeepSyntax_2Edeep__form: $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_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,type,
    mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: $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_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,type,
    mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29: $tType ).

thf(tyop_2EDeepSyntax_2Edeep__form,type,
    tyop_2EDeepSyntax_2Edeep__form: d ).

thf(tyop_2Eind__type_2Erecspace,type,
    tyop_2Eind__type_2Erecspace: d > 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(s,type,
    s: d > u > du ).

thf(app_2E2,type,
    app_2E2: du > du > u ).

thf(combin_i_2E0,type,
    combin_i_2E0: u ).

thf(combin_k_2E0,type,
    combin_k_2E0: u ).

thf(combin_s_2E0,type,
    combin_s_2E0: u ).

thf(c_2Ebool_2E_21_2E0,type,
    c_2Ebool_2E_21_2E0: u ).

thf(c_2Ebool_2E_21_2E1,type,
    c_2Ebool_2E_21_2E1: du > u ).

thf(c_2Earithmetic_2E_2B_2E0,type,
    c_2Earithmetic_2E_2B_2E0: u ).

thf(c_2Earithmetic_2E_2B_2E2,type,
    c_2Earithmetic_2E_2B_2E2: du > du > u ).

thf(c_2Epair_2E_2C_2E0,type,
    c_2Epair_2E_2C_2E0: u ).

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

thf(c_2Ebool_2E_2F_5C_2E0,type,
    c_2Ebool_2E_2F_5C_2E0: u ).

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

thf(c_2Enum_2E0_2E0,type,
    c_2Enum_2E0_2E0: u ).

thf(c_2Emin_2E_3D_2E0,type,
    c_2Emin_2E_3D_2E0: u ).

thf(c_2Emin_2E_3D_2E2,type,
    c_2Emin_2E_3D_2E2: du > du > u ).

thf(c_2Emin_2E_3D_3D_3E_2E0,type,
    c_2Emin_2E_3D_3D_3E_2E0: u ).

thf(c_2Emin_2E_3D_3D_3E_2E2,type,
    c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).

thf(c_2Ebool_2E_3F_2E0,type,
    c_2Ebool_2E_3F_2E0: u ).

thf(c_2Ebool_2E_3F_2E1,type,
    c_2Ebool_2E_3F_2E1: du > u ).

thf(c_2Ebool_2EARB_2E0,type,
    c_2Ebool_2EARB_2E0: u ).

thf(c_2EDeepSyntax_2EAset_2E0,type,
    c_2EDeepSyntax_2EAset_2E0: u ).

thf(c_2EDeepSyntax_2EAset_2E2,type,
    c_2EDeepSyntax_2EAset_2E2: du > 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_2Eind__type_2EBOTTOM_2E0,type,
    c_2Eind__type_2EBOTTOM_2E0: u ).

thf(c_2EDeepSyntax_2EBset_2E0,type,
    c_2EDeepSyntax_2EBset_2E0: u ).

thf(c_2EDeepSyntax_2EBset_2E2,type,
    c_2EDeepSyntax_2EBset_2E2: du > 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_2Eind__type_2ECONSTR_2E0,type,
    c_2Eind__type_2ECONSTR_2E0: u ).

thf(c_2Eind__type_2ECONSTR_2E3,type,
    c_2Eind__type_2ECONSTR_2E3: du > du > du > u ).

thf(c_2EDeepSyntax_2EConjn_2E0,type,
    c_2EDeepSyntax_2EConjn_2E0: u ).

thf(c_2EDeepSyntax_2EConjn_2E2,type,
    c_2EDeepSyntax_2EConjn_2E2: du > du > u ).

thf(c_2Ebool_2EDATATYPE_2E0,type,
    c_2Ebool_2EDATATYPE_2E0: u ).

thf(c_2Ebool_2EDATATYPE_2E1,type,
    c_2Ebool_2EDATATYPE_2E1: du > u ).

thf(c_2EDeepSyntax_2EDisjn_2E0,type,
    c_2EDeepSyntax_2EDisjn_2E0: u ).

thf(c_2EDeepSyntax_2EDisjn_2E2,type,
    c_2EDeepSyntax_2EDisjn_2E2: du > du > u ).

thf(c_2Epred__set_2EEMPTY_2E0,type,
    c_2Epred__set_2EEMPTY_2E0: u ).

thf(c_2Ebool_2EF_2E0,type,
    c_2Ebool_2EF_2E0: u ).

thf(c_2Eind__type_2EFCONS_2E0,type,
    c_2Eind__type_2EFCONS_2E0: u ).

thf(c_2Eind__type_2EFCONS_2E2,type,
    c_2Eind__type_2EFCONS_2E2: du > du > u ).

thf(c_2Ebool_2EIN_2E0,type,
    c_2Ebool_2EIN_2E0: u ).

thf(c_2Ebool_2EIN_2E2,type,
    c_2Ebool_2EIN_2E2: du > du > u ).

thf(c_2Epred__set_2EINSERT_2E0,type,
    c_2Epred__set_2EINSERT_2E0: u ).

thf(c_2Epred__set_2EINSERT_2E2,type,
    c_2Epred__set_2EINSERT_2E2: du > du > u ).

thf(c_2Ecombin_2EK_2E0,type,
    c_2Ecombin_2EK_2E0: u ).

thf(c_2Ecombin_2EK_2E2,type,
    c_2Ecombin_2EK_2E2: du > du > u ).

thf(c_2EDeepSyntax_2ELTx_2E0,type,
    c_2EDeepSyntax_2ELTx_2E0: u ).

thf(c_2EDeepSyntax_2ELTx_2E1,type,
    c_2EDeepSyntax_2ELTx_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_2EDeepSyntax_2ENegn_2E0,type,
    c_2EDeepSyntax_2ENegn_2E0: u ).

thf(c_2EDeepSyntax_2ENegn_2E1,type,
    c_2EDeepSyntax_2ENegn_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_2Epred__set_2EUNION_2E0,type,
    c_2Epred__set_2EUNION_2E0: u ).

thf(c_2Epred__set_2EUNION_2E2,type,
    c_2Epred__set_2EUNION_2E2: du > du > u ).

thf(c_2EDeepSyntax_2EUnrelatedBool_2E0,type,
    c_2EDeepSyntax_2EUnrelatedBool_2E0: u ).

thf(c_2EDeepSyntax_2EUnrelatedBool_2E1,type,
    c_2EDeepSyntax_2EUnrelatedBool_2E1: 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_2EDeepSyntax_2Ealldivide_2E0,type,
    c_2EDeepSyntax_2Ealldivide_2E0: u ).

thf(c_2EDeepSyntax_2Ealldivide_2E2,type,
    c_2EDeepSyntax_2Ealldivide_2E2: du > du > u ).

thf(c_2EbasicSize_2Ebool__size_2E0,type,
    c_2EbasicSize_2Ebool__size_2E0: u ).

thf(c_2EbasicSize_2Ebool__size_2E1,type,
    c_2EbasicSize_2Ebool__size_2E1: du > u ).

thf(c_2EDeepSyntax_2Edeep__form__CASE_2E0,type,
    c_2EDeepSyntax_2Edeep__form__CASE_2E0: u ).

thf(c_2EDeepSyntax_2Edeep__form__CASE_2E9,type,
    c_2EDeepSyntax_2Edeep__form__CASE_2E9: du > du > du > du > du > du > du > du > du > u ).

thf(c_2EDeepSyntax_2Edeep__form__size_2E0,type,
    c_2EDeepSyntax_2Edeep__form__size_2E0: u ).

thf(c_2EDeepSyntax_2Edeep__form__size_2E1,type,
    c_2EDeepSyntax_2Edeep__form__size_2E1: du > u ).

thf(c_2EDeepSyntax_2Eeval__form_2E0,type,
    c_2EDeepSyntax_2Eeval__form_2E0: u ).

thf(c_2EDeepSyntax_2Eeval__form_2E2,type,
    c_2EDeepSyntax_2Eeval__form_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__divides_2E0,type,
    c_2Einteger_2Eint__divides_2E0: u ).

thf(c_2Einteger_2Eint__divides_2E2,type,
    c_2Einteger_2Eint__divides_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_2EDeepSyntax_2Eneginf_2E0,type,
    c_2EDeepSyntax_2Eneginf_2E0: u ).

thf(c_2EDeepSyntax_2Eneginf_2E1,type,
    c_2EDeepSyntax_2Eneginf_2E1: du > u ).

thf(c_2EDeepSyntax_2Eposinf_2E0,type,
    c_2EDeepSyntax_2Eposinf_2E0: u ).

thf(c_2EDeepSyntax_2Eposinf_2E1,type,
    c_2EDeepSyntax_2Eposinf_2E1: du > u ).

thf(c_2EDeepSyntax_2ExDivided_2E0,type,
    c_2EDeepSyntax_2ExDivided_2E0: u ).

thf(c_2EDeepSyntax_2ExDivided_2E2,type,
    c_2EDeepSyntax_2ExDivided_2E2: du > du > u ).

thf(c_2EDeepSyntax_2ExEQ_2E0,type,
    c_2EDeepSyntax_2ExEQ_2E0: u ).

thf(c_2EDeepSyntax_2ExEQ_2E1,type,
    c_2EDeepSyntax_2ExEQ_2E1: du > u ).

thf(c_2EDeepSyntax_2ExLT_2E0,type,
    c_2EDeepSyntax_2ExLT_2E0: u ).

thf(c_2EDeepSyntax_2ExLT_2E1,type,
    c_2EDeepSyntax_2ExLT_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_2EDeepSyntax_2Edeep__form,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2EDeepSyntax_2Edeep__form: ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ).

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_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Einteger_2Eint > $o ) > $o > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Einteger_2Eint > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29: ( $o > ( mono_2Etyop_2Einteger_2Eint > $o ) > ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o ) > $o > ( mono_2Etyop_2Einteger_2Eint > $o ) > ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: ( $o > mono_2Etyop_2Einteger_2Eint > $o ) > $o > mono_2Etyop_2Einteger_2Eint > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29: ( $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 ) > $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Enum_2Enum,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Enum_2Enum: ( $o > mono_2Etyop_2Enum_2Enum ) > $o > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Eapp_2Emono_2Etyop_2EDeepSyntax_2Edeep__form_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2Emono_2Etyop_2EDeepSyntax_2Edeep__form_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2EDeepSyntax_2Edeep__form > $o ) > mono_2Etyop_2EDeepSyntax_2Edeep__form > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2EDeepSyntax_2Edeep__form_20mono_2Etyop_2EDeepSyntax_2Edeep__form,type,
    mono_2Eapp_2Emono_2Etyop_2EDeepSyntax_2Edeep__form_20mono_2Etyop_2EDeepSyntax_2Edeep__form: ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ).

thf(mono_2Eapp_2Emono_2Etyop_2EDeepSyntax_2Edeep__form_20mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29,type,
    mono_2Eapp_2Emono_2Etyop_2EDeepSyntax_2Edeep__form_20mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29: ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ).

thf(mono_2Eapp_2Emono_2Etyop_2EDeepSyntax_2Edeep__form_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2Emono_2Etyop_2EDeepSyntax_2Edeep__form_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Einteger_2Eint > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2EDeepSyntax_2Edeep__form_20mono_2Etyop_2Enum_2Enum,type,
    mono_2Eapp_2Emono_2Etyop_2EDeepSyntax_2Edeep__form_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29: ( ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ) > ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29: ( ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29: ( ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29: ( ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > $o ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Einteger_2Eint > $o ) > $o ) > ( mono_2Etyop_2Einteger_2Eint > $o ) > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Einteger_2Eint > $o ) > ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o ) > ( mono_2Etyop_2Einteger_2Eint > $o ) > ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o ) > ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29: ( ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > $o ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > $o ) > ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > $o ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > $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_2EDeepSyntax_2Edeep__form,type,
    mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2EDeepSyntax_2Edeep__form: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ).

thf(mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > $o ) > $o ) > mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > $o ) > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > ( 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_2EDeepSyntax_2Edeep__form_29,type,
    mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ).

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_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_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_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_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ).

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_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ).

thf(mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ).

thf(mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 ).

thf(mono_2Eapp_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > $o ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29: ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ).

thf(mono_2Ec_2Earithmetic_2E_2B,type,
    mono_2Ec_2Earithmetic_2E_2B: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,type,
    mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 ).

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_2Ebool_2E_2F_5C,type,
    mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).

thf(mono_2Ec_2Enum_2E0,type,
    mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2Emin_2E_3D_3D_3E,type,
    mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).

thf(mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Emin_2Ebool,type,
    mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Emin_2Ebool: $o ).

thf(mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Einteger_2Eint,type,
    mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Einteger_2Eint ).

thf(mono_2Ec_2EDeepSyntax_2EAset,type,
    mono_2Ec_2EDeepSyntax_2EAset: $o > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Einteger_2Eint > $o ).

thf(mono_2Ec_2Earithmetic_2EBIT1,type,
    mono_2Ec_2Earithmetic_2EBIT1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2Eind__type_2EBOTTOM_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,type,
    mono_2Ec_2Eind__type_2EBOTTOM_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ).

thf(mono_2Ec_2EDeepSyntax_2EBset,type,
    mono_2Ec_2EDeepSyntax_2EBset: $o > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Einteger_2Eint > $o ).

thf(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: $o > ( mono_2Etyop_2Einteger_2Eint > $o ) > ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o ).

thf(mono_2Ec_2Eind__type_2ECONSTR_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,type,
    mono_2Ec_2Eind__type_2ECONSTR_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ).

thf(mono_2Ec_2EDeepSyntax_2EConjn,type,
    mono_2Ec_2EDeepSyntax_2EConjn: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ).

thf(mono_2Ec_2Ebool_2EDATATYPE_2Emono_2Etyop_2Emin_2Ebool,type,
    mono_2Ec_2Ebool_2EDATATYPE_2Emono_2Etyop_2Emin_2Ebool: $o > $o ).

thf(mono_2Ec_2EDeepSyntax_2EDisjn,type,
    mono_2Ec_2EDeepSyntax_2EDisjn: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ).

thf(mono_2Ec_2Epred__set_2EEMPTY_2Emono_2Etyop_2Einteger_2Eint,type,
    mono_2Ec_2Epred__set_2EEMPTY_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Einteger_2Eint > $o ).

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

thf(mono_2Ec_2Eind__type_2EFCONS_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,type,
    mono_2Ec_2Eind__type_2EFCONS_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ).

thf(mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint,type,
    mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > $o ) > $o ).

thf(mono_2Ec_2Epred__set_2EINSERT_2Emono_2Etyop_2Einteger_2Eint,type,
    mono_2Ec_2Epred__set_2EINSERT_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o ).

thf(mono_2Ec_2Ecombin_2EK_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Einteger_2Eint,type,
    mono_2Ec_2Ecombin_2EK_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Einteger_2Eint: $o > mono_2Etyop_2Einteger_2Eint > $o ).

thf(mono_2Ec_2EDeepSyntax_2ELTx,type,
    mono_2Ec_2EDeepSyntax_2ELTx: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ).

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

thf(mono_2Ec_2EDeepSyntax_2ENegn,type,
    mono_2Ec_2EDeepSyntax_2ENegn: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ).

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

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

thf(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_20mono_2Etyop_2EDeepSyntax_2Edeep__form,type,
    mono_2Ec_2Ebool_2ETYPE__DEFINITION_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_20mono_2Etyop_2EDeepSyntax_2Edeep__form: ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > $o ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > $o ).

thf(mono_2Ec_2Epred__set_2EUNION_2Emono_2Etyop_2Einteger_2Eint,type,
    mono_2Ec_2Epred__set_2EUNION_2Emono_2Etyop_2Einteger_2Eint: ( mono_2Etyop_2Einteger_2Eint > $o ) > ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o ).

thf(mono_2Ec_2EDeepSyntax_2EUnrelatedBool,type,
    mono_2Ec_2EDeepSyntax_2EUnrelatedBool: $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ).

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_2EDeepSyntax_2Ealldivide,type,
    mono_2Ec_2EDeepSyntax_2Ealldivide: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Einteger_2Eint > $o ).

thf(mono_2Ec_2EbasicSize_2Ebool__size,type,
    mono_2Ec_2EbasicSize_2Ebool__size: $o > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2EDeepSyntax_2Edeep__form__size,type,
    mono_2Ec_2EDeepSyntax_2Edeep__form__size: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2EDeepSyntax_2Eeval__form,type,
    mono_2Ec_2EDeepSyntax_2Eeval__form: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Einteger_2Eint > $o ).

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__divides,type,
    mono_2Ec_2Einteger_2Eint__divides: 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_2EDeepSyntax_2Eneginf,type,
    mono_2Ec_2EDeepSyntax_2Eneginf: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ).

thf(mono_2Ec_2EDeepSyntax_2Eposinf,type,
    mono_2Ec_2EDeepSyntax_2Eposinf: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ).

thf(mono_2Ec_2EDeepSyntax_2ExDivided,type,
    mono_2Ec_2EDeepSyntax_2ExDivided: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ).

thf(mono_2Ec_2EDeepSyntax_2ExEQ,type,
    mono_2Ec_2EDeepSyntax_2ExEQ: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ).

thf(mono_2Ec_2EDeepSyntax_2ExLT,type,
    mono_2Ec_2EDeepSyntax_2ExLT: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ).

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_2EDeepSyntax_2Edeep__form,type,
    i_mono_2Etyop_2EDeepSyntax_2Edeep__form: mono_2Etyop_2EDeepSyntax_2Edeep__form > 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_2EDeepSyntax_2Edeep__form_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29: ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > 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_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29: ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Einteger_2Eint > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29_29: ( $o > ( mono_2Etyop_2Einteger_2Eint > $o ) > ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: ( $o > mono_2Etyop_2Einteger_2Eint > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29: ( $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Enum_2Enum_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Enum_2Enum_29: ( $o > mono_2Etyop_2Enum_2Enum ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2EDeepSyntax_2Edeep__form > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29: ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29: ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Einteger_2Eint > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Enum_2Enum_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Enum_2Enum ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29: ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29: ( ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29: ( ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29: ( ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29_29: ( ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Einteger_2Eint > $o ) > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29: ( ( mono_2Etyop_2Einteger_2Eint > $o ) > ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29: ( ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29: ( ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > $o ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > $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_2EDeepSyntax_2Edeep__form_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > $o ) > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29: ( mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > $o ) > 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_2EDeepSyntax_2Edeep__form_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > 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_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_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_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_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > 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_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29_29: ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > 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_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,type,
    i_mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 > 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_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,type,
    i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > u ).

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

thf(j_mono_2Etyop_2EDeepSyntax_2Edeep__form,type,
    j_mono_2Etyop_2EDeepSyntax_2Edeep__form: du > mono_2Etyop_2EDeepSyntax_2Edeep__form ).

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_2EDeepSyntax_2Edeep__form_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29: du > $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ).

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_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29: du > $o > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Einteger_2Eint > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29_29: du > $o > ( mono_2Etyop_2Einteger_2Eint > $o ) > ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: du > $o > mono_2Etyop_2Einteger_2Eint > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29: du > $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Enum_2Enum_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Enum_2Enum_29: du > $o > mono_2Etyop_2Enum_2Enum ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2EDeepSyntax_2Edeep__form > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29: du > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29: du > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Einteger_2Eint > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Enum_2Enum_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Enum_2Enum ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29: du > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29: du > ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29: du > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29: du > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29_29: du > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Einteger_2Eint > $o ) > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29: du > ( mono_2Etyop_2Einteger_2Eint > $o ) > ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29: du > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29: du > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29: du > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29: du > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > $o ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > $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_2EDeepSyntax_2Edeep__form_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > $o ) > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29: du > mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > $o ) > 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_2EDeepSyntax_2Edeep__form_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ).

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_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_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_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_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ).

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_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29_29: du > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ).

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_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,type,
    j_mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 ).

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_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,type,
    j_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29: du > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ).

thf(reserved_2Eho_2Eeq__ext,axiom,
    ! [A_27a: d,A_27b: d,V0f_2E0: u,V1g_2E0: u] :
      ( ! [V2x_2E0: u] :
          ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) )
          = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
     => ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 )
        = ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) ).

thf(reserved_2Eho_2Ei__thm,axiom,
    ! [A_27a: d,V0x_2E0: u] :
      ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ combin_i_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) )
      = ( s @ A_27a @ V0x_2E0 ) ) ).

thf(reserved_2Eho_2Ek__thm,axiom,
    ! [A_27a: d,A_27b: d,V0x_2E0: u,V1y_2E0: u] :
      ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) ) @ combin_k_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) ) @ ( s @ A_27b @ V1y_2E0 ) ) )
      = ( s @ A_27a @ V0x_2E0 ) ) ).

thf(reserved_2Eho_2Es__thm,axiom,
    ! [A_27a: d,A_27b: d,A_27c: d,V0f_2E0: u,V1g_2E0: u,V2x_2E0: u] :
      ( ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) @ ( s @ A_27a @ V2x_2E0 ) ) )
      = ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) ) ) ).

thf(reserved_2Elogic_2E_2F_5C,axiom,
    ! [V0: $o,V1: $o] :
      ( ( mono_2Ec_2Ebool_2E_2F_5C @ V0 @ V1 )
    <=> ( V0
        & V1 ) ) ).

thf(reserved_2Elogic_2E_5C_2F,axiom,
    ! [V0: $o,V1: $o] :
      ( ( mono_2Ec_2Ebool_2E_5C_2F @ V0 @ V1 )
    <=> ( V0
        | V1 ) ) ).

thf(reserved_2Elogic_2E_7E,axiom,
    ! [V0: $o] :
      ( ( mono_2Ec_2Ebool_2E_7E @ V0 )
    <=> ( (~) @ V0 ) ) ).

thf(reserved_2Elogic_2E_3D_3D_3E,axiom,
    ! [V0: $o,V1: $o] :
      ( ( mono_2Ec_2Emin_2E_3D_3D_3E @ V0 @ V1 )
    <=> ( V0
       => V1 ) ) ).

thf(reserved_2Elogic_2E_3D,axiom,
    ! [A_27a: d,V0_2E0: u,V1_2E0: u] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) )
    <=> ( ( s @ A_27a @ V0_2E0 )
        = ( s @ A_27a @ V1_2E0 ) ) ) ).

thf(reserved_2Equant_2E_21,axiom,
    ! [A_27a: d,V0f_2E0: u] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
    <=> ! [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).

thf(reserved_2Equant_2E_3F,axiom,
    ! [A_27a: d,V0f_2E0: u] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
    <=> ? [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: u] :
      ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
      = ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2EDeepSyntax_2Edeep__form,axiom,
    ! [V0_2E0: u] :
      ( ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ ( j_mono_2Etyop_2EDeepSyntax_2Edeep__form @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ V0_2E0 ) ) ) )
      = ( s @ tyop_2EDeepSyntax_2Edeep__form @ 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_2EDeepSyntax_2Edeep__form_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ 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_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Enum_2Enum_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Enum_2Enum_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) ) ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ 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_2EDeepSyntax_2Edeep__form_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( 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_2EDeepSyntax_2Edeep__form_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ 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_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_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_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_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) ) @ 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_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) ) @ 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_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ ( j_mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ 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_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ ( j_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ V0_2E0 ) ) ).

thf(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: $o] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2EDeepSyntax_2Edeep__form,axiom,
    ! [V0: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( j_mono_2Etyop_2EDeepSyntax_2Edeep__form @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ 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_2EDeepSyntax_2Edeep__form_29,axiom,
    ! [V0: $o > mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_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_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0: $o > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Einteger_2Eint > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29_29,axiom,
    ! [V0: $o > ( mono_2Etyop_2Einteger_2Eint > $o ) > ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: $o > mono_2Etyop_2Einteger_2Eint > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29,axiom,
    ! [V0: $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Enum_2Enum_29,axiom,
    ! [V0: $o > mono_2Etyop_2Enum_2Enum] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Enum_2Enum_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: mono_2Etyop_2EDeepSyntax_2Edeep__form > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29,axiom,
    ! [V0: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29,axiom,
    ! [V0: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Einteger_2Eint > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Enum_2Enum_29,axiom,
    ! [V0: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Enum_2Enum] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Enum_2Enum_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29,axiom,
    ! [V0: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29,axiom,
    ! [V0: ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29,axiom,
    ! [V0: ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29,axiom,
    ! [V0: ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29_29,axiom,
    ! [V0: ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: ( mono_2Etyop_2Einteger_2Eint > $o ) > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Einteger_2Eint > $o ) > ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > $o ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > $o ) > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_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_2EDeepSyntax_2Edeep__form_29_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_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_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_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_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_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_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_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29_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_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,axiom,
    ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29] :
      ( ( j_mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ 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_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
      ( ( j_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ ( s @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
      = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_21_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).

thf(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u,X1_2E0: u] :
      ( ( ( s @ A_27a @ X0_2E0 )
        = ( s @ A_27a @ X1_2E0 ) )
    <=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ A_27a @ X0_2E0 ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) ) ) ).

thf(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
      = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_3F_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).

thf(arityeq9_2Ec_2EDeepSyntax_2Edeep__form__CASE_2E9_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0: mono_2Etyop_2EDeepSyntax_2Edeep__form,X1_2E0: u,X2_2E0: u,X3_2E0: u,X4_2E0: u,X5_2E0: u,X6_2E0: u,X7_2E0: u,X8_2E0: u] :
      ( ( s @ A_27a @ ( c_2EDeepSyntax_2Edeep__form__CASE_2E9 @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ X0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ X1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ X2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ X3_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ A_27a ) @ X4_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ X5_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ X6_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ X7_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ X8_2E0 ) ) )
      = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ A_27a ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ A_27a ) ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ A_27a ) ) ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ A_27a ) ) ) ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ A_27a ) ) ) ) ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ A_27a ) ) ) ) ) ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ A_27a ) ) ) ) ) ) ) ) ) @ c_2EDeepSyntax_2Edeep__form__CASE_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ X0 ) ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ X2_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ X3_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ A_27a ) @ X4_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ X5_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ X6_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ X7_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ X8_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_2EDeepSyntax_2Edeep__form,axiom,
    ! [V0: $o > mono_2Etyop_2EDeepSyntax_2Edeep__form,V1: $o] :
      ( ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_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_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: $o > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Einteger_2Eint > $o,V1: $o] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0: $o > ( mono_2Etyop_2Einteger_2Eint > $o ) > ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o,V1: $o] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: $o > mono_2Etyop_2Einteger_2Eint > $o,V1: $o] :
      ( ( 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_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_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_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
    ! [V0: $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,V1: $o] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Enum_2Enum,axiom,
    ! [V0: $o > mono_2Etyop_2Enum_2Enum,V1: $o] :
      ( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2EDeepSyntax_2Edeep__form_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: mono_2Etyop_2EDeepSyntax_2Edeep__form > $o,V1: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2EDeepSyntax_2Edeep__form_20mono_2Etyop_2EDeepSyntax_2Edeep__form,axiom,
    ! [V0: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form,V1: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29 @ V0 ) ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2EDeepSyntax_2Edeep__form_20mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29,axiom,
    ! [V0: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form,V1: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29 @ V0 ) ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2EDeepSyntax_2Edeep__form_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Einteger_2Eint > $o,V1: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( 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_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2EDeepSyntax_2Edeep__form_20mono_2Etyop_2Enum_2Enum,axiom,
    ! [V0: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29,axiom,
    ! [V0: ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o,V1: $o > mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29,axiom,
    ! [V0: ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o,V1: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29,axiom,
    ! [V0: ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o,V1: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29,axiom,
    ! [V0: ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o,V1: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > $o,V1: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
      ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: ( mono_2Etyop_2Einteger_2Eint > $o ) > $o,V1: mono_2Etyop_2Einteger_2Eint > $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_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Einteger_2Eint > $o ) > ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o,V1: mono_2Etyop_2Einteger_2Eint > $o] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o,V1: mono_2Etyop_2Einteger_2Eint > $o] :
      ( ( 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_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o,V1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o,V1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o,V1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o,V1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( 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_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
      ( ( s @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > $o ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > $o,V1: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > $o] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_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_2EDeepSyntax_2Edeep__form,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form,V1: mono_2Etyop_2Einteger_2Eint] :
      ( ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29 @ V0 ) ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > $o ) > $o,V1: mono_2Etyop_2Einteger_2Eint] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_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_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o,V1: mono_2Etyop_2Einteger_2Eint] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_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_2EDeepSyntax_2Edeep__form_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form,V1: mono_2Etyop_2Einteger_2Eint] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2EDeepSyntax_2Edeep__form ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_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_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_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_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_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,V1: mono_2Etyop_2Enum_2Enum] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_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_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,V1: mono_2Etyop_2Enum_2Enum] :
      ( ( s @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,axiom,
    ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29] :
      ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_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_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > $o,V1: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
      ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,V1: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Ec_2Epair_2E_2C_2E0_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ) )
    = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ c_2Epair_2E_2C_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,axiom,
    ! [V0: $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29] :
      ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ V0 @ V1 ) ) )
      = ( s @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ 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_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_2Ebool_2EARB_2E0_2Emono_2Etyop_2Emin_2Ebool,axiom,
    ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Emin_2Ebool ) )
    = ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EARB_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Ebool_2EARB_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
    ( ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Einteger_2Eint ) )
    = ( s @ tyop_2Einteger_2Eint @ c_2Ebool_2EARB_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Eind__type_2EBOTTOM_2E0_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,axiom,
    ( ( s @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ mono_2Ec_2Eind__type_2EBOTTOM_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 ) )
    = ( s @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ c_2Eind__type_2EBOTTOM_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29_29 @ mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 ) )
    = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) ) @ c_2Ebool_2ECOND_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: $o,V1: mono_2Etyop_2Einteger_2Eint > $o,V2: mono_2Etyop_2Einteger_2Eint > $o] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ V0 @ V1 @ V2 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ V2 ) ) ) ) ) ).

thf(monoeq_2Emono_2Ec_2Eind__type_2ECONSTR_2E0_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29_29 @ mono_2Ec_2Eind__type_2ECONSTR_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 ) )
    = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) ) @ c_2Eind__type_2ECONSTR_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Eind__type_2ECONSTR_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,V2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
      ( ( s @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ ( mono_2Ec_2Eind__type_2ECONSTR_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ V0 @ V1 @ V2 ) ) )
      = ( s @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( c_2Eind__type_2ECONSTR_2E3 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0 ) ) @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ V1 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ V2 ) ) ) ) ) ).

thf(monoeq_2Emono_2Ec_2Ebool_2EDATATYPE_2E0_2Emono_2Etyop_2Emin_2Ebool,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Ebool_2EDATATYPE_2Emono_2Etyop_2Emin_2Ebool ) )
    = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ c_2Ebool_2EDATATYPE_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Ebool_2EDATATYPE_2E1_2Emono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: $o] :
      ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Ebool_2EDATATYPE_2Emono_2Etyop_2Emin_2Ebool @ V0 ) ) )
      = ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EDATATYPE_2E1 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) ) ) ) ).

thf(monoeq_2Emono_2Ec_2Epred__set_2EEMPTY_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Epred__set_2EEMPTY_2Emono_2Etyop_2Einteger_2Eint ) )
    = ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EEMPTY_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Eind__type_2EFCONS_2E0_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29_29 @ mono_2Ec_2Eind__type_2EFCONS_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) )
    = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) ) ) @ c_2Eind__type_2EFCONS_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Eind__type_2EFCONS_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ ( mono_2Ec_2Eind__type_2EFCONS_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( c_2Eind__type_2EFCONS_2E2 @ ( s @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ ( i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Ec_2Ebool_2EIN_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint ) )
    = ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ c_2Ebool_2EIN_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Ebool_2EIN_2E2_2Emono_2Etyop_2Einteger_2Eint,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Einteger_2Eint > $o] :
      ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V0 @ V1 ) ) )
      = ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Ec_2Epred__set_2EINSERT_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29 @ mono_2Ec_2Epred__set_2EINSERT_2Emono_2Etyop_2Einteger_2Eint ) )
    = ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) @ c_2Epred__set_2EINSERT_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Epred__set_2EINSERT_2E2_2Emono_2Etyop_2Einteger_2Eint,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint,V1: mono_2Etyop_2Einteger_2Eint > $o] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ ( mono_2Ec_2Epred__set_2EINSERT_2Emono_2Etyop_2Einteger_2Eint @ V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EINSERT_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Ec_2Ecombin_2EK_2E0_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Einteger_2Eint,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ mono_2Ec_2Ecombin_2EK_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Einteger_2Eint ) )
    = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ c_2Ecombin_2EK_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Ecombin_2EK_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Einteger_2Eint,axiom,
    ! [V0: $o,V1: mono_2Etyop_2Einteger_2Eint] :
      ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Ecombin_2EK_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Einteger_2Eint @ V0 @ V1 ) ) )
      = ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EK_2E2 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Ec_2Ebool_2ETYPE__DEFINITION_2E0_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_20mono_2Etyop_2EDeepSyntax_2Edeep__form,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29_29 @ mono_2Ec_2Ebool_2ETYPE__DEFINITION_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_20mono_2Etyop_2EDeepSyntax_2Edeep__form ) )
    = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ tyop_2Emin_2Ebool ) ) @ c_2Ebool_2ETYPE__DEFINITION_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_20mono_2Etyop_2EDeepSyntax_2Edeep__form,axiom,
    ! [V0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > $o,V1: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
      ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Ebool_2ETYPE__DEFINITION_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_20mono_2Etyop_2EDeepSyntax_2Edeep__form @ V0 @ V1 ) ) )
      = ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2ETYPE__DEFINITION_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Eind__type_2Erecspace @ ( tyop_2Epair_2Eprod @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Ec_2Epred__set_2EUNION_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29 @ mono_2Ec_2Epred__set_2EUNION_2Emono_2Etyop_2Einteger_2Eint ) )
    = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) ) @ c_2Epred__set_2EUNION_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Epred__set_2EUNION_2E2_2Emono_2Etyop_2Einteger_2Eint,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > $o,V1: mono_2Etyop_2Einteger_2Eint > $o] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ ( mono_2Ec_2Epred__set_2EUNION_2Emono_2Etyop_2Einteger_2Eint @ V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EUNION_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_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).

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

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2EDeepSyntax_2Edeep__form,axiom,
    ! [V0: $o > mono_2Etyop_2EDeepSyntax_2Edeep__form,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_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: $o > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Einteger_2Eint > $o,V1: $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0: $o > ( mono_2Etyop_2Einteger_2Eint > $o ) > ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o,V1: $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: $o > mono_2Etyop_2Einteger_2Eint > $o,V1: $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
    ! [V0: $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,V1: $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Enum_2Enum,axiom,
    ! [V0: $o > mono_2Etyop_2Enum_2Enum,V1: $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2EDeepSyntax_2Edeep__form_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: mono_2Etyop_2EDeepSyntax_2Edeep__form > $o,V1: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2EDeepSyntax_2Edeep__form_20mono_2Etyop_2EDeepSyntax_2Edeep__form,axiom,
    ! [V0: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form,V1: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2EDeepSyntax_2Edeep__form_20mono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29,axiom,
    ! [V0: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form,V1: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2EDeepSyntax_2Edeep__form_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Einteger_2Eint > $o,V1: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2EDeepSyntax_2Edeep__form_20mono_2Etyop_2Enum_2Enum,axiom,
    ! [V0: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29,axiom,
    ! [V0: ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o,V1: $o > mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29,axiom,
    ! [V0: ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o,V1: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29,axiom,
    ! [V0: ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o,V1: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29_29_29_29_29,axiom,
    ! [V0: ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o,V1: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > $o,V1: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: ( mono_2Etyop_2Einteger_2Eint > $o ) > $o,V1: mono_2Etyop_2Einteger_2Eint > $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Einteger_2Eint > $o ) > ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o,V1: mono_2Etyop_2Einteger_2Eint > $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o,V1: mono_2Etyop_2Einteger_2Eint > $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o,V1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o,V1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o,V1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2EDeepSyntax_2Edeep__form_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o,V1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2EDeepSyntax_2Edeep__form_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: ( mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > $o ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > $o,V1: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > $o] :
      ( ( 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_2EDeepSyntax_2Edeep__form,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form,V1: mono_2Etyop_2Einteger_2Eint] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > $o ) > $o,V1: mono_2Etyop_2Einteger_2Eint] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > ( mono_2Etyop_2Einteger_2Eint > $o ) > 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_2EDeepSyntax_2Edeep__form_29,axiom,
    ! [V0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form,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_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_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_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_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,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_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,V1: mono_2Etyop_2Enum_2Enum] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,axiom,
    ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > $o,V1: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,V1: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(thm_2EDeepSyntax_2Edeep__form__TY__DEF,axiom,
    ! [F8: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,F7: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,F6: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,F5: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,F4: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,F3: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,F2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,F1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,F0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > $o] :
      ( ! [V22n: mono_2Etyop_2Enum_2Enum] :
          ( ( F8 @ V22n )
          = mono_2Ec_2Eind__type_2EBOTTOM_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 )
     => ( ! [V19n: mono_2Etyop_2Enum_2Enum] :
            ( ( F7 @ V19n )
            = mono_2Ec_2Eind__type_2EBOTTOM_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 )
       => ( ! [V17n: mono_2Etyop_2Enum_2Enum] :
              ( ( F6 @ V17n )
              = mono_2Ec_2Eind__type_2EBOTTOM_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 )
         => ( ! [V15n: mono_2Etyop_2Enum_2Enum] :
                ( ( F5 @ V15n )
                = mono_2Ec_2Eind__type_2EBOTTOM_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 )
           => ( ! [V13n: mono_2Etyop_2Enum_2Enum] :
                  ( ( F4 @ V13n )
                  = mono_2Ec_2Eind__type_2EBOTTOM_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 )
             => ( ! [V11n: mono_2Etyop_2Enum_2Enum] :
                    ( ( F3 @ V11n )
                    = mono_2Ec_2Eind__type_2EBOTTOM_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 )
               => ( ! [V9n: mono_2Etyop_2Enum_2Enum] :
                      ( ( F2 @ V9n )
                      = mono_2Ec_2Eind__type_2EBOTTOM_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 )
                 => ( ! [V6n: mono_2Etyop_2Enum_2Enum] :
                        ( ( F1 @ V6n )
                        = mono_2Ec_2Eind__type_2EBOTTOM_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 )
                   => ( ! [V1a0_27: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
                          ( ( F0 @ V1a0_27 )
                        <=> ! [V2_27deep__form_27: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > $o] :
                              ( ! [V3a0_27: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
                                  ( ( ? [V4a0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,V5a1: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
                                        ( ( V3a0_27
                                          = ( mono_2Ec_2Eind__type_2ECONSTR_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Einteger_2Eint ) ) @ ( mono_2Ec_2Eind__type_2EFCONS_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ V4a0 @ ( mono_2Ec_2Eind__type_2EFCONS_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ V5a1 @ F1 ) ) ) )
                                        & ( V2_27deep__form_27 @ V4a0 )
                                        & ( V2_27deep__form_27 @ V5a1 ) )
                                    | ? [V7a0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,V8a1: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
                                        ( ( V3a0_27
                                          = ( mono_2Ec_2Eind__type_2ECONSTR_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Einteger_2Eint ) ) @ ( mono_2Ec_2Eind__type_2EFCONS_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ V7a0 @ ( mono_2Ec_2Eind__type_2EFCONS_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ V8a1 @ F2 ) ) ) )
                                        & ( V2_27deep__form_27 @ V7a0 )
                                        & ( V2_27deep__form_27 @ V8a1 ) )
                                    | ? [V10a: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] :
                                        ( ( V3a0_27
                                          = ( mono_2Ec_2Eind__type_2ECONSTR_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) ) @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Einteger_2Eint ) ) @ ( mono_2Ec_2Eind__type_2EFCONS_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 @ V10a @ F3 ) ) )
                                        & ( V2_27deep__form_27 @ V10a ) )
                                    | ? [V12a: $o] :
                                        ( V3a0_27
                                        = ( mono_2Ec_2Eind__type_2ECONSTR_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) ) ) @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ V12a @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Einteger_2Eint @ mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Einteger_2Eint ) ) @ F4 ) )
                                    | ? [V14a: mono_2Etyop_2Einteger_2Eint] :
                                        ( V3a0_27
                                        = ( mono_2Ec_2Eind__type_2ECONSTR_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) ) ) ) @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint @ V14a @ mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Einteger_2Eint ) ) @ F5 ) )
                                    | ? [V16a: mono_2Etyop_2Einteger_2Eint] :
                                        ( V3a0_27
                                        = ( mono_2Ec_2Eind__type_2ECONSTR_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) ) ) ) ) @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint @ V16a @ mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Einteger_2Eint ) ) @ F6 ) )
                                    | ? [V18a: mono_2Etyop_2Einteger_2Eint] :
                                        ( V3a0_27
                                        = ( mono_2Ec_2Eind__type_2ECONSTR_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) ) ) ) ) ) @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint @ V18a @ mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Einteger_2Eint ) ) @ F7 ) )
                                    | ? [V20a0: mono_2Etyop_2Einteger_2Eint,V21a1: mono_2Etyop_2Einteger_2Eint] :
                                        ( V3a0_27
                                        = ( mono_2Ec_2Eind__type_2ECONSTR_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) ) ) ) ) ) ) @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ mono_2Ec_2Ebool_2EARB_2Emono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint @ V20a0 @ V21a1 ) ) @ F8 ) ) )
                                 => ( V2_27deep__form_27 @ V3a0_27 ) )
                             => ( V2_27deep__form_27 @ V1a0_27 ) ) )
                     => ? [V0rep: mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] : ( mono_2Ec_2Ebool_2ETYPE__DEFINITION_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29_20mono_2Etyop_2EDeepSyntax_2Edeep__form @ F0 @ V0rep ) ) ) ) ) ) ) ) ) ) ).

thf(thm_2EDeepSyntax_2Edeep__form__case__def,axiom,
    ! [A_27a: d] :
      ( ! [V0a0: mono_2Etyop_2EDeepSyntax_2Edeep__form,V1a1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V2f_2E0: u,V3f1_2E0: u,V4f2_2E0: u,V5f3_2E0: u,V6f4_2E0: u,V7f5_2E0: u,V8f6_2E0: u,V9f7_2E0: u] :
          ( ( s @ A_27a @ ( c_2EDeepSyntax_2Edeep__form__CASE_2E9 @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ ( mono_2Ec_2EDeepSyntax_2EConjn @ V0a0 @ V1a1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V2f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V3f1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V4f2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ A_27a ) @ V5f3_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V6f4_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V7f5_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V8f6_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ V9f7_2E0 ) ) )
          = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V2f_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V0a0 ) ) ) ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V1a1 ) ) ) ) )
      & ! [V10a0: mono_2Etyop_2EDeepSyntax_2Edeep__form,V11a1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V12f_2E0: u,V13f1_2E0: u,V14f2_2E0: u,V15f3_2E0: u,V16f4_2E0: u,V17f5_2E0: u,V18f6_2E0: u,V19f7_2E0: u] :
          ( ( s @ A_27a @ ( c_2EDeepSyntax_2Edeep__form__CASE_2E9 @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ ( mono_2Ec_2EDeepSyntax_2EDisjn @ V10a0 @ V11a1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V12f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V13f1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V14f2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ A_27a ) @ V15f3_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V16f4_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V17f5_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V18f6_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ V19f7_2E0 ) ) )
          = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V13f1_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V10a0 ) ) ) ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V11a1 ) ) ) ) )
      & ! [V20a: mono_2Etyop_2EDeepSyntax_2Edeep__form,V21f_2E0: u,V22f1_2E0: u,V23f2_2E0: u,V24f3_2E0: u,V25f4_2E0: u,V26f5_2E0: u,V27f6_2E0: u,V28f7_2E0: u] :
          ( ( s @ A_27a @ ( c_2EDeepSyntax_2Edeep__form__CASE_2E9 @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ ( mono_2Ec_2EDeepSyntax_2ENegn @ V20a ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V21f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V22f1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V23f2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ A_27a ) @ V24f3_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V25f4_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V26f5_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V27f6_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ V28f7_2E0 ) ) )
          = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V23f2_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V20a ) ) ) ) )
      & ! [V29a: $o,V30f_2E0: u,V31f1_2E0: u,V32f2_2E0: u,V33f3_2E0: u,V34f4_2E0: u,V35f5_2E0: u,V36f6_2E0: u,V37f7_2E0: u] :
          ( ( s @ A_27a @ ( c_2EDeepSyntax_2Edeep__form__CASE_2E9 @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V29a ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V30f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V31f1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V32f2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ A_27a ) @ V33f3_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V34f4_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V35f5_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V36f6_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ V37f7_2E0 ) ) )
          = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ A_27a ) @ V33f3_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V29a ) ) ) ) )
      & ! [V38a: mono_2Etyop_2Einteger_2Eint,V39f_2E0: u,V40f1_2E0: u,V41f2_2E0: u,V42f3_2E0: u,V43f4_2E0: u,V44f5_2E0: u,V45f6_2E0: u,V46f7_2E0: u] :
          ( ( s @ A_27a @ ( c_2EDeepSyntax_2Edeep__form__CASE_2E9 @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ ( mono_2Ec_2EDeepSyntax_2ExLT @ V38a ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V39f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V40f1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V41f2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ A_27a ) @ V42f3_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V43f4_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V44f5_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V45f6_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ V46f7_2E0 ) ) )
          = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V43f4_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V38a ) ) ) ) )
      & ! [V47a: mono_2Etyop_2Einteger_2Eint,V48f_2E0: u,V49f1_2E0: u,V50f2_2E0: u,V51f3_2E0: u,V52f4_2E0: u,V53f5_2E0: u,V54f6_2E0: u,V55f7_2E0: u] :
          ( ( s @ A_27a @ ( c_2EDeepSyntax_2Edeep__form__CASE_2E9 @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ ( mono_2Ec_2EDeepSyntax_2ELTx @ V47a ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V48f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V49f1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V50f2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ A_27a ) @ V51f3_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V52f4_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V53f5_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V54f6_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ V55f7_2E0 ) ) )
          = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V53f5_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V47a ) ) ) ) )
      & ! [V56a: mono_2Etyop_2Einteger_2Eint,V57f_2E0: u,V58f1_2E0: u,V59f2_2E0: u,V60f3_2E0: u,V61f4_2E0: u,V62f5_2E0: u,V63f6_2E0: u,V64f7_2E0: u] :
          ( ( s @ A_27a @ ( c_2EDeepSyntax_2Edeep__form__CASE_2E9 @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ ( mono_2Ec_2EDeepSyntax_2ExEQ @ V56a ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V57f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V58f1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V59f2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ A_27a ) @ V60f3_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V61f4_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V62f5_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V63f6_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ V64f7_2E0 ) ) )
          = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V63f6_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V56a ) ) ) ) )
      & ! [V65a0: mono_2Etyop_2Einteger_2Eint,V66a1: mono_2Etyop_2Einteger_2Eint,V67f_2E0: u,V68f1_2E0: u,V69f2_2E0: u,V70f3_2E0: u,V71f4_2E0: u,V72f5_2E0: u,V73f6_2E0: u,V74f7_2E0: u] :
          ( ( s @ A_27a @ ( c_2EDeepSyntax_2Edeep__form__CASE_2E9 @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ ( mono_2Ec_2EDeepSyntax_2ExDivided @ V65a0 @ V66a1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V67f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V68f1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V69f2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ A_27a ) @ V70f3_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V71f4_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V72f5_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V73f6_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ V74f7_2E0 ) ) )
          = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ V74f7_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V65a0 ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V66a1 ) ) ) ) ) ) ).

thf(thm_2EDeepSyntax_2Edeep__form__size__def,axiom,
    ( ! [V0a0: mono_2Etyop_2EDeepSyntax_2Edeep__form,V1a1: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
        ( ( mono_2Ec_2EDeepSyntax_2Edeep__form__size @ ( mono_2Ec_2EDeepSyntax_2EConjn @ V0a0 @ V1a1 ) )
        = ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2EDeepSyntax_2Edeep__form__size @ V0a0 ) @ ( mono_2Ec_2EDeepSyntax_2Edeep__form__size @ V1a1 ) ) ) )
    & ! [V2a0: mono_2Etyop_2EDeepSyntax_2Edeep__form,V3a1: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
        ( ( mono_2Ec_2EDeepSyntax_2Edeep__form__size @ ( mono_2Ec_2EDeepSyntax_2EDisjn @ V2a0 @ V3a1 ) )
        = ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2EDeepSyntax_2Edeep__form__size @ V2a0 ) @ ( mono_2Ec_2EDeepSyntax_2Edeep__form__size @ V3a1 ) ) ) )
    & ! [V4a: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
        ( ( mono_2Ec_2EDeepSyntax_2Edeep__form__size @ ( mono_2Ec_2EDeepSyntax_2ENegn @ V4a ) )
        = ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ ( mono_2Ec_2EDeepSyntax_2Edeep__form__size @ V4a ) ) )
    & ! [V5a: $o] :
        ( ( mono_2Ec_2EDeepSyntax_2Edeep__form__size @ ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V5a ) )
        = ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ ( mono_2Ec_2EbasicSize_2Ebool__size @ V5a ) ) )
    & ! [V6a: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Edeep__form__size @ ( mono_2Ec_2EDeepSyntax_2ExLT @ V6a ) )
        = ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
    & ! [V7a: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Edeep__form__size @ ( mono_2Ec_2EDeepSyntax_2ELTx @ V7a ) )
        = ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
    & ! [V8a: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Edeep__form__size @ ( mono_2Ec_2EDeepSyntax_2ExEQ @ V8a ) )
        = ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
    & ! [V9a0: mono_2Etyop_2Einteger_2Eint,V10a1: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Edeep__form__size @ ( mono_2Ec_2EDeepSyntax_2ExDivided @ V9a0 @ V10a1 ) )
        = ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ).

thf(thm_2EDeepSyntax_2Eeval__form__def,axiom,
    ( ! [V0f1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V1f2: mono_2Etyop_2EDeepSyntax_2Edeep__form,V2x: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Eeval__form @ ( mono_2Ec_2EDeepSyntax_2EConjn @ V0f1 @ V1f2 ) @ V2x )
      <=> ( ( mono_2Ec_2EDeepSyntax_2Eeval__form @ V0f1 @ V2x )
          & ( mono_2Ec_2EDeepSyntax_2Eeval__form @ V1f2 @ V2x ) ) )
    & ! [V3f1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V4f2: mono_2Etyop_2EDeepSyntax_2Edeep__form,V5x: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Eeval__form @ ( mono_2Ec_2EDeepSyntax_2EDisjn @ V3f1 @ V4f2 ) @ V5x )
      <=> ( ( mono_2Ec_2EDeepSyntax_2Eeval__form @ V3f1 @ V5x )
          | ( mono_2Ec_2EDeepSyntax_2Eeval__form @ V4f2 @ V5x ) ) )
    & ! [V6f: mono_2Etyop_2EDeepSyntax_2Edeep__form,V7x: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Eeval__form @ ( mono_2Ec_2EDeepSyntax_2ENegn @ V6f ) @ V7x )
      <=> ( (~) @ ( mono_2Ec_2EDeepSyntax_2Eeval__form @ V6f @ V7x ) ) )
    & ! [V8b: $o,V9x: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Eeval__form @ ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V8b ) @ V9x )
        = V8b )
    & ! [V10i: mono_2Etyop_2Einteger_2Eint,V11x: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Eeval__form @ ( mono_2Ec_2EDeepSyntax_2ExLT @ V10i ) @ V11x )
        = ( mono_2Ec_2Einteger_2Eint__lt @ V11x @ V10i ) )
    & ! [V12i: mono_2Etyop_2Einteger_2Eint,V13x: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Eeval__form @ ( mono_2Ec_2EDeepSyntax_2ELTx @ V12i ) @ V13x )
        = ( mono_2Ec_2Einteger_2Eint__lt @ V12i @ V13x ) )
    & ! [V14i: mono_2Etyop_2Einteger_2Eint,V15x: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Eeval__form @ ( mono_2Ec_2EDeepSyntax_2ExEQ @ V14i ) @ V15x )
      <=> ( V15x = V14i ) )
    & ! [V16i1: mono_2Etyop_2Einteger_2Eint,V17i2: mono_2Etyop_2Einteger_2Eint,V18x: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Eeval__form @ ( mono_2Ec_2EDeepSyntax_2ExDivided @ V16i1 @ V17i2 ) @ V18x )
        = ( mono_2Ec_2Einteger_2Eint__divides @ V16i1 @ ( mono_2Ec_2Einteger_2Eint__add @ V18x @ V17i2 ) ) ) ) ).

thf(thm_2EDeepSyntax_2Eneginf__def,axiom,
    ( ! [V0f1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V1f2: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
        ( ( mono_2Ec_2EDeepSyntax_2Eneginf @ ( mono_2Ec_2EDeepSyntax_2EConjn @ V0f1 @ V1f2 ) )
        = ( mono_2Ec_2EDeepSyntax_2EConjn @ ( mono_2Ec_2EDeepSyntax_2Eneginf @ V0f1 ) @ ( mono_2Ec_2EDeepSyntax_2Eneginf @ V1f2 ) ) )
    & ! [V2f1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V3f2: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
        ( ( mono_2Ec_2EDeepSyntax_2Eneginf @ ( mono_2Ec_2EDeepSyntax_2EDisjn @ V2f1 @ V3f2 ) )
        = ( mono_2Ec_2EDeepSyntax_2EDisjn @ ( mono_2Ec_2EDeepSyntax_2Eneginf @ V2f1 ) @ ( mono_2Ec_2EDeepSyntax_2Eneginf @ V3f2 ) ) )
    & ! [V4f: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
        ( ( mono_2Ec_2EDeepSyntax_2Eneginf @ ( mono_2Ec_2EDeepSyntax_2ENegn @ V4f ) )
        = ( mono_2Ec_2EDeepSyntax_2ENegn @ ( mono_2Ec_2EDeepSyntax_2Eneginf @ V4f ) ) )
    & ! [V5b: $o] :
        ( ( mono_2Ec_2EDeepSyntax_2Eneginf @ ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V5b ) )
        = ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V5b ) )
    & ! [V6i: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Eneginf @ ( mono_2Ec_2EDeepSyntax_2ExLT @ V6i ) )
        = ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ mono_2Ec_2Ebool_2ET ) )
    & ! [V7i: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Eneginf @ ( mono_2Ec_2EDeepSyntax_2ELTx @ V7i ) )
        = ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ mono_2Ec_2Ebool_2EF ) )
    & ! [V8i: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Eneginf @ ( mono_2Ec_2EDeepSyntax_2ExEQ @ V8i ) )
        = ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ mono_2Ec_2Ebool_2EF ) )
    & ! [V9i1: mono_2Etyop_2Einteger_2Eint,V10i2: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Eneginf @ ( mono_2Ec_2EDeepSyntax_2ExDivided @ V9i1 @ V10i2 ) )
        = ( mono_2Ec_2EDeepSyntax_2ExDivided @ V9i1 @ V10i2 ) ) ) ).

thf(thm_2EDeepSyntax_2Eposinf__def,axiom,
    ( ! [V0f1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V1f2: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
        ( ( mono_2Ec_2EDeepSyntax_2Eposinf @ ( mono_2Ec_2EDeepSyntax_2EConjn @ V0f1 @ V1f2 ) )
        = ( mono_2Ec_2EDeepSyntax_2EConjn @ ( mono_2Ec_2EDeepSyntax_2Eposinf @ V0f1 ) @ ( mono_2Ec_2EDeepSyntax_2Eposinf @ V1f2 ) ) )
    & ! [V2f1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V3f2: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
        ( ( mono_2Ec_2EDeepSyntax_2Eposinf @ ( mono_2Ec_2EDeepSyntax_2EDisjn @ V2f1 @ V3f2 ) )
        = ( mono_2Ec_2EDeepSyntax_2EDisjn @ ( mono_2Ec_2EDeepSyntax_2Eposinf @ V2f1 ) @ ( mono_2Ec_2EDeepSyntax_2Eposinf @ V3f2 ) ) )
    & ! [V4f: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
        ( ( mono_2Ec_2EDeepSyntax_2Eposinf @ ( mono_2Ec_2EDeepSyntax_2ENegn @ V4f ) )
        = ( mono_2Ec_2EDeepSyntax_2ENegn @ ( mono_2Ec_2EDeepSyntax_2Eposinf @ V4f ) ) )
    & ! [V5b: $o] :
        ( ( mono_2Ec_2EDeepSyntax_2Eposinf @ ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V5b ) )
        = ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V5b ) )
    & ! [V6i: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Eposinf @ ( mono_2Ec_2EDeepSyntax_2ExLT @ V6i ) )
        = ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ mono_2Ec_2Ebool_2EF ) )
    & ! [V7i: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Eposinf @ ( mono_2Ec_2EDeepSyntax_2ELTx @ V7i ) )
        = ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ mono_2Ec_2Ebool_2ET ) )
    & ! [V8i: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Eposinf @ ( mono_2Ec_2EDeepSyntax_2ExEQ @ V8i ) )
        = ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ mono_2Ec_2Ebool_2EF ) )
    & ! [V9i1: mono_2Etyop_2Einteger_2Eint,V10i2: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Eposinf @ ( mono_2Ec_2EDeepSyntax_2ExDivided @ V9i1 @ V10i2 ) )
        = ( mono_2Ec_2EDeepSyntax_2ExDivided @ V9i1 @ V10i2 ) ) ) ).

thf(thm_2EDeepSyntax_2Ealldivide__def,axiom,
    ( ! [V0f1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V1f2: mono_2Etyop_2EDeepSyntax_2Edeep__form,V2d: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Ealldivide @ ( mono_2Ec_2EDeepSyntax_2EConjn @ V0f1 @ V1f2 ) @ V2d )
      <=> ( ( mono_2Ec_2EDeepSyntax_2Ealldivide @ V0f1 @ V2d )
          & ( mono_2Ec_2EDeepSyntax_2Ealldivide @ V1f2 @ V2d ) ) )
    & ! [V3f1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V4f2: mono_2Etyop_2EDeepSyntax_2Edeep__form,V5d: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Ealldivide @ ( mono_2Ec_2EDeepSyntax_2EDisjn @ V3f1 @ V4f2 ) @ V5d )
      <=> ( ( mono_2Ec_2EDeepSyntax_2Ealldivide @ V3f1 @ V5d )
          & ( mono_2Ec_2EDeepSyntax_2Ealldivide @ V4f2 @ V5d ) ) )
    & ! [V6f: mono_2Etyop_2EDeepSyntax_2Edeep__form,V7d: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Ealldivide @ ( mono_2Ec_2EDeepSyntax_2ENegn @ V6f ) @ V7d )
        = ( mono_2Ec_2EDeepSyntax_2Ealldivide @ V6f @ V7d ) )
    & ! [V8b: $o,V9d: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Ealldivide @ ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V8b ) @ V9d )
        = mono_2Ec_2Ebool_2ET )
    & ! [V10i: mono_2Etyop_2Einteger_2Eint,V11d: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Ealldivide @ ( mono_2Ec_2EDeepSyntax_2ExLT @ V10i ) @ V11d )
        = mono_2Ec_2Ebool_2ET )
    & ! [V12i: mono_2Etyop_2Einteger_2Eint,V13d: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Ealldivide @ ( mono_2Ec_2EDeepSyntax_2ELTx @ V12i ) @ V13d )
        = mono_2Ec_2Ebool_2ET )
    & ! [V14i: mono_2Etyop_2Einteger_2Eint,V15d: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Ealldivide @ ( mono_2Ec_2EDeepSyntax_2ExEQ @ V14i ) @ V15d )
        = mono_2Ec_2Ebool_2ET )
    & ! [V16i1: mono_2Etyop_2Einteger_2Eint,V17i2: mono_2Etyop_2Einteger_2Eint,V18d: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2EDeepSyntax_2Ealldivide @ ( mono_2Ec_2EDeepSyntax_2ExDivided @ V16i1 @ V17i2 ) @ V18d )
        = ( mono_2Ec_2Einteger_2Eint__divides @ V16i1 @ V18d ) ) ) ).

thf(thm_2EDeepSyntax_2EAset__def,axiom,
    ! [F0: $o > $o] :
      ( ! [V6pos: $o] :
          ( ( F0 @ V6pos )
        <=> ( (~) @ V6pos ) )
     => ( ! [V0pos: $o,V1f1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V2f2: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
            ( ( mono_2Ec_2EDeepSyntax_2EAset @ V0pos @ ( mono_2Ec_2EDeepSyntax_2EConjn @ V1f1 @ V2f2 ) )
            = ( mono_2Ec_2Epred__set_2EUNION_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2EDeepSyntax_2EAset @ V0pos @ V1f1 ) @ ( mono_2Ec_2EDeepSyntax_2EAset @ V0pos @ V2f2 ) ) )
        & ! [V3pos: $o,V4f1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V5f2: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
            ( ( mono_2Ec_2EDeepSyntax_2EAset @ V3pos @ ( mono_2Ec_2EDeepSyntax_2EDisjn @ V4f1 @ V5f2 ) )
            = ( mono_2Ec_2Epred__set_2EUNION_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2EDeepSyntax_2EAset @ V3pos @ V4f1 ) @ ( mono_2Ec_2EDeepSyntax_2EAset @ V3pos @ V5f2 ) ) )
        & ! [V6pos: $o,V7f: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
            ( ( mono_2Ec_2EDeepSyntax_2EAset @ V6pos @ ( mono_2Ec_2EDeepSyntax_2ENegn @ V7f ) )
            = ( mono_2Ec_2EDeepSyntax_2EAset @ ( F0 @ V6pos ) @ V7f ) )
        & ! [V8pos: $o,V9b: $o] :
            ( ( mono_2Ec_2EDeepSyntax_2EAset @ V8pos @ ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V9b ) )
            = mono_2Ec_2Epred__set_2EEMPTY_2Emono_2Etyop_2Einteger_2Eint )
        & ! [V10pos: $o,V11i: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2EDeepSyntax_2EAset @ V10pos @ ( mono_2Ec_2EDeepSyntax_2ExLT @ V11i ) )
            = ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ V10pos @ ( mono_2Ec_2Epred__set_2EINSERT_2Emono_2Etyop_2Einteger_2Eint @ V11i @ mono_2Ec_2Epred__set_2EEMPTY_2Emono_2Etyop_2Einteger_2Eint ) @ mono_2Ec_2Epred__set_2EEMPTY_2Emono_2Etyop_2Einteger_2Eint ) )
        & ! [V12pos: $o,V13i: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2EDeepSyntax_2EAset @ V12pos @ ( mono_2Ec_2EDeepSyntax_2ELTx @ V13i ) )
            = ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ V12pos @ mono_2Ec_2Epred__set_2EEMPTY_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Epred__set_2EINSERT_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__add @ V13i @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) @ mono_2Ec_2Epred__set_2EEMPTY_2Emono_2Etyop_2Einteger_2Eint ) ) )
        & ! [V14pos: $o,V15i: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2EDeepSyntax_2EAset @ V14pos @ ( mono_2Ec_2EDeepSyntax_2ExEQ @ V15i ) )
            = ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ V14pos @ ( mono_2Ec_2Epred__set_2EINSERT_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__add @ V15i @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) @ mono_2Ec_2Epred__set_2EEMPTY_2Emono_2Etyop_2Einteger_2Eint ) @ ( mono_2Ec_2Epred__set_2EINSERT_2Emono_2Etyop_2Einteger_2Eint @ V15i @ mono_2Ec_2Epred__set_2EEMPTY_2Emono_2Etyop_2Einteger_2Eint ) ) )
        & ! [V16pos: $o,V17i1: mono_2Etyop_2Einteger_2Eint,V18i2: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2EDeepSyntax_2EAset @ V16pos @ ( mono_2Ec_2EDeepSyntax_2ExDivided @ V17i1 @ V18i2 ) )
            = mono_2Ec_2Epred__set_2EEMPTY_2Emono_2Etyop_2Einteger_2Eint ) ) ) ).

thf(thm_2EDeepSyntax_2EBset__def,axiom,
    ! [F0: $o > $o] :
      ( ! [V6pos: $o] :
          ( ( F0 @ V6pos )
        <=> ( (~) @ V6pos ) )
     => ( ! [V0pos: $o,V1f1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V2f2: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
            ( ( mono_2Ec_2EDeepSyntax_2EBset @ V0pos @ ( mono_2Ec_2EDeepSyntax_2EConjn @ V1f1 @ V2f2 ) )
            = ( mono_2Ec_2Epred__set_2EUNION_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2EDeepSyntax_2EBset @ V0pos @ V1f1 ) @ ( mono_2Ec_2EDeepSyntax_2EBset @ V0pos @ V2f2 ) ) )
        & ! [V3pos: $o,V4f1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V5f2: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
            ( ( mono_2Ec_2EDeepSyntax_2EBset @ V3pos @ ( mono_2Ec_2EDeepSyntax_2EDisjn @ V4f1 @ V5f2 ) )
            = ( mono_2Ec_2Epred__set_2EUNION_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2EDeepSyntax_2EBset @ V3pos @ V4f1 ) @ ( mono_2Ec_2EDeepSyntax_2EBset @ V3pos @ V5f2 ) ) )
        & ! [V6pos: $o,V7f: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
            ( ( mono_2Ec_2EDeepSyntax_2EBset @ V6pos @ ( mono_2Ec_2EDeepSyntax_2ENegn @ V7f ) )
            = ( mono_2Ec_2EDeepSyntax_2EBset @ ( F0 @ V6pos ) @ V7f ) )
        & ! [V8pos: $o,V9b: $o] :
            ( ( mono_2Ec_2EDeepSyntax_2EBset @ V8pos @ ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V9b ) )
            = mono_2Ec_2Epred__set_2EEMPTY_2Emono_2Etyop_2Einteger_2Eint )
        & ! [V10pos: $o,V11i: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2EDeepSyntax_2EBset @ V10pos @ ( mono_2Ec_2EDeepSyntax_2ExLT @ V11i ) )
            = ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ V10pos @ mono_2Ec_2Epred__set_2EEMPTY_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Epred__set_2EINSERT_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__add @ V11i @ ( 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_2Epred__set_2EEMPTY_2Emono_2Etyop_2Einteger_2Eint ) ) )
        & ! [V12pos: $o,V13i: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2EDeepSyntax_2EBset @ V12pos @ ( mono_2Ec_2EDeepSyntax_2ELTx @ V13i ) )
            = ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ V12pos @ ( mono_2Ec_2Epred__set_2EINSERT_2Emono_2Etyop_2Einteger_2Eint @ V13i @ mono_2Ec_2Epred__set_2EEMPTY_2Emono_2Etyop_2Einteger_2Eint ) @ mono_2Ec_2Epred__set_2EEMPTY_2Emono_2Etyop_2Einteger_2Eint ) )
        & ! [V14pos: $o,V15i: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2EDeepSyntax_2EBset @ V14pos @ ( mono_2Ec_2EDeepSyntax_2ExEQ @ V15i ) )
            = ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ V14pos @ ( mono_2Ec_2Epred__set_2EINSERT_2Emono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__add @ V15i @ ( 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_2Epred__set_2EEMPTY_2Emono_2Etyop_2Einteger_2Eint ) @ ( mono_2Ec_2Epred__set_2EINSERT_2Emono_2Etyop_2Einteger_2Eint @ V15i @ mono_2Ec_2Epred__set_2EEMPTY_2Emono_2Etyop_2Einteger_2Eint ) ) )
        & ! [V16pos: $o,V17i1: mono_2Etyop_2Einteger_2Eint,V18i2: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2EDeepSyntax_2EBset @ V16pos @ ( mono_2Ec_2EDeepSyntax_2ExDivided @ V17i1 @ V18i2 ) )
            = mono_2Ec_2Epred__set_2EEMPTY_2Emono_2Etyop_2Einteger_2Eint ) ) ) ).

thf(thm_2EDeepSyntax_2Edatatype__deep__form,axiom,
    ! [V0deep__form: ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2EDeepSyntax_2Edeep__form > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( $o > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2EDeepSyntax_2Edeep__form ) > $o] : ( mono_2Ec_2Ebool_2EDATATYPE_2Emono_2Etyop_2Emin_2Ebool @ ( V0deep__form @ mono_2Ec_2EDeepSyntax_2EConjn @ mono_2Ec_2EDeepSyntax_2EDisjn @ mono_2Ec_2EDeepSyntax_2ENegn @ mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ mono_2Ec_2EDeepSyntax_2ExLT @ mono_2Ec_2EDeepSyntax_2ELTx @ mono_2Ec_2EDeepSyntax_2ExEQ @ mono_2Ec_2EDeepSyntax_2ExDivided ) ) ).

thf(thm_2EDeepSyntax_2Edeep__form__11,axiom,
    ( ! [V0a0: mono_2Etyop_2EDeepSyntax_2Edeep__form,V1a1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V2a0_27: mono_2Etyop_2EDeepSyntax_2Edeep__form,V3a1_27: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
        ( ( ( mono_2Ec_2EDeepSyntax_2EConjn @ V0a0 @ V1a1 )
          = ( mono_2Ec_2EDeepSyntax_2EConjn @ V2a0_27 @ V3a1_27 ) )
      <=> ( ( V0a0 = V2a0_27 )
          & ( V1a1 = V3a1_27 ) ) )
    & ! [V4a0: mono_2Etyop_2EDeepSyntax_2Edeep__form,V5a1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V6a0_27: mono_2Etyop_2EDeepSyntax_2Edeep__form,V7a1_27: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
        ( ( ( mono_2Ec_2EDeepSyntax_2EDisjn @ V4a0 @ V5a1 )
          = ( mono_2Ec_2EDeepSyntax_2EDisjn @ V6a0_27 @ V7a1_27 ) )
      <=> ( ( V4a0 = V6a0_27 )
          & ( V5a1 = V7a1_27 ) ) )
    & ! [V8a: mono_2Etyop_2EDeepSyntax_2Edeep__form,V9a_27: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
        ( ( ( mono_2Ec_2EDeepSyntax_2ENegn @ V8a )
          = ( mono_2Ec_2EDeepSyntax_2ENegn @ V9a_27 ) )
      <=> ( V8a = V9a_27 ) )
    & ! [V10a: $o,V11a_27: $o] :
        ( ( ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V10a )
          = ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V11a_27 ) )
      <=> ( V10a = V11a_27 ) )
    & ! [V12a: mono_2Etyop_2Einteger_2Eint,V13a_27: mono_2Etyop_2Einteger_2Eint] :
        ( ( ( mono_2Ec_2EDeepSyntax_2ExLT @ V12a )
          = ( mono_2Ec_2EDeepSyntax_2ExLT @ V13a_27 ) )
      <=> ( V12a = V13a_27 ) )
    & ! [V14a: mono_2Etyop_2Einteger_2Eint,V15a_27: mono_2Etyop_2Einteger_2Eint] :
        ( ( ( mono_2Ec_2EDeepSyntax_2ELTx @ V14a )
          = ( mono_2Ec_2EDeepSyntax_2ELTx @ V15a_27 ) )
      <=> ( V14a = V15a_27 ) )
    & ! [V16a: mono_2Etyop_2Einteger_2Eint,V17a_27: mono_2Etyop_2Einteger_2Eint] :
        ( ( ( mono_2Ec_2EDeepSyntax_2ExEQ @ V16a )
          = ( mono_2Ec_2EDeepSyntax_2ExEQ @ V17a_27 ) )
      <=> ( V16a = V17a_27 ) )
    & ! [V18a0: mono_2Etyop_2Einteger_2Eint,V19a1: mono_2Etyop_2Einteger_2Eint,V20a0_27: mono_2Etyop_2Einteger_2Eint,V21a1_27: mono_2Etyop_2Einteger_2Eint] :
        ( ( ( mono_2Ec_2EDeepSyntax_2ExDivided @ V18a0 @ V19a1 )
          = ( mono_2Ec_2EDeepSyntax_2ExDivided @ V20a0_27 @ V21a1_27 ) )
      <=> ( ( V18a0 = V20a0_27 )
          & ( V19a1 = V21a1_27 ) ) ) ) ).

thf(thm_2EDeepSyntax_2Edeep__form__distinct,axiom,
    ( ! [V0a1_27: mono_2Etyop_2EDeepSyntax_2Edeep__form,V1a1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V2a0_27: mono_2Etyop_2EDeepSyntax_2Edeep__form,V3a0: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2EConjn @ V3a0 @ V1a1 )
          = ( mono_2Ec_2EDeepSyntax_2EDisjn @ V2a0_27 @ V0a1_27 ) ) )
    & ! [V4a1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V5a0: mono_2Etyop_2EDeepSyntax_2Edeep__form,V6a: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2EConjn @ V5a0 @ V4a1 )
          = ( mono_2Ec_2EDeepSyntax_2ENegn @ V6a ) ) )
    & ! [V7a1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V8a0: mono_2Etyop_2EDeepSyntax_2Edeep__form,V9a: $o] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2EConjn @ V8a0 @ V7a1 )
          = ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V9a ) ) )
    & ! [V10a1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V11a0: mono_2Etyop_2EDeepSyntax_2Edeep__form,V12a: mono_2Etyop_2Einteger_2Eint] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2EConjn @ V11a0 @ V10a1 )
          = ( mono_2Ec_2EDeepSyntax_2ExLT @ V12a ) ) )
    & ! [V13a1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V14a0: mono_2Etyop_2EDeepSyntax_2Edeep__form,V15a: mono_2Etyop_2Einteger_2Eint] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2EConjn @ V14a0 @ V13a1 )
          = ( mono_2Ec_2EDeepSyntax_2ELTx @ V15a ) ) )
    & ! [V16a1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V17a0: mono_2Etyop_2EDeepSyntax_2Edeep__form,V18a: mono_2Etyop_2Einteger_2Eint] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2EConjn @ V17a0 @ V16a1 )
          = ( mono_2Ec_2EDeepSyntax_2ExEQ @ V18a ) ) )
    & ! [V19a1_27: mono_2Etyop_2Einteger_2Eint,V20a1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V21a0_27: mono_2Etyop_2Einteger_2Eint,V22a0: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2EConjn @ V22a0 @ V20a1 )
          = ( mono_2Ec_2EDeepSyntax_2ExDivided @ V21a0_27 @ V19a1_27 ) ) )
    & ! [V23a1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V24a0: mono_2Etyop_2EDeepSyntax_2Edeep__form,V25a: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2EDisjn @ V24a0 @ V23a1 )
          = ( mono_2Ec_2EDeepSyntax_2ENegn @ V25a ) ) )
    & ! [V26a1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V27a0: mono_2Etyop_2EDeepSyntax_2Edeep__form,V28a: $o] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2EDisjn @ V27a0 @ V26a1 )
          = ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V28a ) ) )
    & ! [V29a1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V30a0: mono_2Etyop_2EDeepSyntax_2Edeep__form,V31a: mono_2Etyop_2Einteger_2Eint] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2EDisjn @ V30a0 @ V29a1 )
          = ( mono_2Ec_2EDeepSyntax_2ExLT @ V31a ) ) )
    & ! [V32a1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V33a0: mono_2Etyop_2EDeepSyntax_2Edeep__form,V34a: mono_2Etyop_2Einteger_2Eint] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2EDisjn @ V33a0 @ V32a1 )
          = ( mono_2Ec_2EDeepSyntax_2ELTx @ V34a ) ) )
    & ! [V35a1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V36a0: mono_2Etyop_2EDeepSyntax_2Edeep__form,V37a: mono_2Etyop_2Einteger_2Eint] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2EDisjn @ V36a0 @ V35a1 )
          = ( mono_2Ec_2EDeepSyntax_2ExEQ @ V37a ) ) )
    & ! [V38a1_27: mono_2Etyop_2Einteger_2Eint,V39a1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V40a0_27: mono_2Etyop_2Einteger_2Eint,V41a0: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2EDisjn @ V41a0 @ V39a1 )
          = ( mono_2Ec_2EDeepSyntax_2ExDivided @ V40a0_27 @ V38a1_27 ) ) )
    & ! [V42a_27: $o,V43a: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2ENegn @ V43a )
          = ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V42a_27 ) ) )
    & ! [V44a_27: mono_2Etyop_2Einteger_2Eint,V45a: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2ENegn @ V45a )
          = ( mono_2Ec_2EDeepSyntax_2ExLT @ V44a_27 ) ) )
    & ! [V46a_27: mono_2Etyop_2Einteger_2Eint,V47a: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2ENegn @ V47a )
          = ( mono_2Ec_2EDeepSyntax_2ELTx @ V46a_27 ) ) )
    & ! [V48a_27: mono_2Etyop_2Einteger_2Eint,V49a: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2ENegn @ V49a )
          = ( mono_2Ec_2EDeepSyntax_2ExEQ @ V48a_27 ) ) )
    & ! [V50a1: mono_2Etyop_2Einteger_2Eint,V51a0: mono_2Etyop_2Einteger_2Eint,V52a: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2ENegn @ V52a )
          = ( mono_2Ec_2EDeepSyntax_2ExDivided @ V51a0 @ V50a1 ) ) )
    & ! [V53a_27: mono_2Etyop_2Einteger_2Eint,V54a: $o] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V54a )
          = ( mono_2Ec_2EDeepSyntax_2ExLT @ V53a_27 ) ) )
    & ! [V55a_27: mono_2Etyop_2Einteger_2Eint,V56a: $o] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V56a )
          = ( mono_2Ec_2EDeepSyntax_2ELTx @ V55a_27 ) ) )
    & ! [V57a_27: mono_2Etyop_2Einteger_2Eint,V58a: $o] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V58a )
          = ( mono_2Ec_2EDeepSyntax_2ExEQ @ V57a_27 ) ) )
    & ! [V59a1: mono_2Etyop_2Einteger_2Eint,V60a0: mono_2Etyop_2Einteger_2Eint,V61a: $o] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V61a )
          = ( mono_2Ec_2EDeepSyntax_2ExDivided @ V60a0 @ V59a1 ) ) )
    & ! [V62a_27: mono_2Etyop_2Einteger_2Eint,V63a: mono_2Etyop_2Einteger_2Eint] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2ExLT @ V63a )
          = ( mono_2Ec_2EDeepSyntax_2ELTx @ V62a_27 ) ) )
    & ! [V64a_27: mono_2Etyop_2Einteger_2Eint,V65a: mono_2Etyop_2Einteger_2Eint] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2ExLT @ V65a )
          = ( mono_2Ec_2EDeepSyntax_2ExEQ @ V64a_27 ) ) )
    & ! [V66a1: mono_2Etyop_2Einteger_2Eint,V67a0: mono_2Etyop_2Einteger_2Eint,V68a: mono_2Etyop_2Einteger_2Eint] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2ExLT @ V68a )
          = ( mono_2Ec_2EDeepSyntax_2ExDivided @ V67a0 @ V66a1 ) ) )
    & ! [V69a_27: mono_2Etyop_2Einteger_2Eint,V70a: mono_2Etyop_2Einteger_2Eint] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2ELTx @ V70a )
          = ( mono_2Ec_2EDeepSyntax_2ExEQ @ V69a_27 ) ) )
    & ! [V71a1: mono_2Etyop_2Einteger_2Eint,V72a0: mono_2Etyop_2Einteger_2Eint,V73a: mono_2Etyop_2Einteger_2Eint] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2ELTx @ V73a )
          = ( mono_2Ec_2EDeepSyntax_2ExDivided @ V72a0 @ V71a1 ) ) )
    & ! [V74a1: mono_2Etyop_2Einteger_2Eint,V75a0: mono_2Etyop_2Einteger_2Eint,V76a: mono_2Etyop_2Einteger_2Eint] :
        ( (~)
        @ ( ( mono_2Ec_2EDeepSyntax_2ExEQ @ V76a )
          = ( mono_2Ec_2EDeepSyntax_2ExDivided @ V75a0 @ V74a1 ) ) ) ) ).

thf(thm_2EDeepSyntax_2Edeep__form__nchotomy,axiom,
    ! [V0dd: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
      ( ? [V1d: mono_2Etyop_2EDeepSyntax_2Edeep__form,V2d0: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
          ( V0dd
          = ( mono_2Ec_2EDeepSyntax_2EConjn @ V1d @ V2d0 ) )
      | ? [V3d: mono_2Etyop_2EDeepSyntax_2Edeep__form,V4d0: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
          ( V0dd
          = ( mono_2Ec_2EDeepSyntax_2EDisjn @ V3d @ V4d0 ) )
      | ? [V5d: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
          ( V0dd
          = ( mono_2Ec_2EDeepSyntax_2ENegn @ V5d ) )
      | ? [V6b: $o] :
          ( V0dd
          = ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V6b ) )
      | ? [V7i: mono_2Etyop_2Einteger_2Eint] :
          ( V0dd
          = ( mono_2Ec_2EDeepSyntax_2ExLT @ V7i ) )
      | ? [V8i: mono_2Etyop_2Einteger_2Eint] :
          ( V0dd
          = ( mono_2Ec_2EDeepSyntax_2ELTx @ V8i ) )
      | ? [V9i: mono_2Etyop_2Einteger_2Eint] :
          ( V0dd
          = ( mono_2Ec_2EDeepSyntax_2ExEQ @ V9i ) )
      | ? [V10i: mono_2Etyop_2Einteger_2Eint,V11i0: mono_2Etyop_2Einteger_2Eint] :
          ( V0dd
          = ( mono_2Ec_2EDeepSyntax_2ExDivided @ V10i @ V11i0 ) ) ) ).

thf(thm_2EDeepSyntax_2Edeep__form__Axiom,axiom,
    ! [A_27a: d,V0f0_2E0: u,V1f1_2E0: u,V2f2_2E0: u,V3f3_2E0: u,V4f4_2E0: u,V5f5_2E0: u,V6f6_2E0: u,V7f7_2E0: u] :
    ? [V8fn_2E0: u] :
      ( ! [V9a0: mono_2Etyop_2EDeepSyntax_2Edeep__form,V10a1: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
          ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V8fn_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ ( mono_2Ec_2EDeepSyntax_2EConjn @ V9a0 @ V10a1 ) ) ) ) )
          = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) ) ) @ V0f0_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V9a0 ) ) ) ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V10a1 ) ) ) ) @ ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V8fn_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V9a0 ) ) ) ) ) ) @ ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V8fn_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V10a1 ) ) ) ) ) ) )
      & ! [V11a0: mono_2Etyop_2EDeepSyntax_2Edeep__form,V12a1: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
          ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V8fn_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ ( mono_2Ec_2EDeepSyntax_2EDisjn @ V11a0 @ V12a1 ) ) ) ) )
          = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) ) ) @ V1f1_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V11a0 ) ) ) ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V12a1 ) ) ) ) @ ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V8fn_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V11a0 ) ) ) ) ) ) @ ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V8fn_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V12a1 ) ) ) ) ) ) )
      & ! [V13a: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
          ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V8fn_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ ( mono_2Ec_2EDeepSyntax_2ENegn @ V13a ) ) ) ) )
          = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) @ V2f2_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V13a ) ) ) ) @ ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V8fn_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V13a ) ) ) ) ) ) )
      & ! [V14a: $o] :
          ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V8fn_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V14a ) ) ) ) )
          = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ A_27a ) @ V3f3_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V14a ) ) ) ) )
      & ! [V15a: mono_2Etyop_2Einteger_2Eint] :
          ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V8fn_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ ( mono_2Ec_2EDeepSyntax_2ExLT @ V15a ) ) ) ) )
          = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V4f4_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V15a ) ) ) ) )
      & ! [V16a: mono_2Etyop_2Einteger_2Eint] :
          ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V8fn_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ ( mono_2Ec_2EDeepSyntax_2ELTx @ V16a ) ) ) ) )
          = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V5f5_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V16a ) ) ) ) )
      & ! [V17a: mono_2Etyop_2Einteger_2Eint] :
          ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V8fn_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ ( mono_2Ec_2EDeepSyntax_2ExEQ @ V17a ) ) ) ) )
          = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V6f6_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V17a ) ) ) ) )
      & ! [V18a0: mono_2Etyop_2Einteger_2Eint,V19a1: mono_2Etyop_2Einteger_2Eint] :
          ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V8fn_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ ( mono_2Ec_2EDeepSyntax_2ExDivided @ V18a0 @ V19a1 ) ) ) ) )
          = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ V7f7_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V18a0 ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V19a1 ) ) ) ) ) ) ).

thf(thm_2EDeepSyntax_2Edeep__form__induction,axiom,
    ! [V0P: mono_2Etyop_2EDeepSyntax_2Edeep__form > $o] :
      ( ( ! [V1d: mono_2Etyop_2EDeepSyntax_2Edeep__form,V2d0: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
            ( ( ( V0P @ V1d )
              & ( V0P @ V2d0 ) )
           => ( V0P @ ( mono_2Ec_2EDeepSyntax_2EConjn @ V1d @ V2d0 ) ) )
        & ! [V3d: mono_2Etyop_2EDeepSyntax_2Edeep__form,V4d0: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
            ( ( ( V0P @ V3d )
              & ( V0P @ V4d0 ) )
           => ( V0P @ ( mono_2Ec_2EDeepSyntax_2EDisjn @ V3d @ V4d0 ) ) )
        & ! [V5d: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
            ( ( V0P @ V5d )
           => ( V0P @ ( mono_2Ec_2EDeepSyntax_2ENegn @ V5d ) ) )
        & ! [V6b: $o] : ( V0P @ ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V6b ) )
        & ! [V7i: mono_2Etyop_2Einteger_2Eint] : ( V0P @ ( mono_2Ec_2EDeepSyntax_2ExLT @ V7i ) )
        & ! [V8i: mono_2Etyop_2Einteger_2Eint] : ( V0P @ ( mono_2Ec_2EDeepSyntax_2ELTx @ V8i ) )
        & ! [V9i: mono_2Etyop_2Einteger_2Eint] : ( V0P @ ( mono_2Ec_2EDeepSyntax_2ExEQ @ V9i ) )
        & ! [V10i: mono_2Etyop_2Einteger_2Eint,V11i0: mono_2Etyop_2Einteger_2Eint] : ( V0P @ ( mono_2Ec_2EDeepSyntax_2ExDivided @ V10i @ V11i0 ) ) )
     => ! [V12d: mono_2Etyop_2EDeepSyntax_2Edeep__form] : ( V0P @ V12d ) ) ).

thf(thm_2EDeepSyntax_2Edeep__form__case__cong,axiom,
    ! [A_27a: d,V0f7_27_2E0: u,V1f6_27_2E0: u,V2f5_27_2E0: u,V3f4_27_2E0: u,V4f3_27_2E0: u,V5f2_27_2E0: u,V6f1_27_2E0: u,V7f_27_2E0: u,V8M: mono_2Etyop_2EDeepSyntax_2Edeep__form,V9M_27: mono_2Etyop_2EDeepSyntax_2Edeep__form,V10f_2E0: u,V11f1_2E0: u,V12f2_2E0: u,V13f3_2E0: u,V14f4_2E0: u,V15f5_2E0: u,V16f6_2E0: u,V17f7_2E0: u] :
      ( ( ( V8M = V9M_27 )
        & ! [V18a0: mono_2Etyop_2EDeepSyntax_2Edeep__form,V19a1: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
            ( ( V9M_27
              = ( mono_2Ec_2EDeepSyntax_2EConjn @ V18a0 @ V19a1 ) )
           => ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V10f_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V18a0 ) ) ) ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V19a1 ) ) ) )
              = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V7f_27_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V18a0 ) ) ) ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V19a1 ) ) ) ) ) )
        & ! [V20a0: mono_2Etyop_2EDeepSyntax_2Edeep__form,V21a1: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
            ( ( V9M_27
              = ( mono_2Ec_2EDeepSyntax_2EDisjn @ V20a0 @ V21a1 ) )
           => ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V11f1_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V20a0 ) ) ) ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V21a1 ) ) ) )
              = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V6f1_27_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V20a0 ) ) ) ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V21a1 ) ) ) ) ) )
        & ! [V22a: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
            ( ( V9M_27
              = ( mono_2Ec_2EDeepSyntax_2ENegn @ V22a ) )
           => ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V12f2_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V22a ) ) ) )
              = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V5f2_27_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V22a ) ) ) ) ) )
        & ! [V23a: $o] :
            ( ( V9M_27
              = ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V23a ) )
           => ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ A_27a ) @ V13f3_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V23a ) ) ) )
              = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ A_27a ) @ V4f3_27_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V23a ) ) ) ) ) )
        & ! [V24a: mono_2Etyop_2Einteger_2Eint] :
            ( ( V9M_27
              = ( mono_2Ec_2EDeepSyntax_2ExLT @ V24a ) )
           => ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V14f4_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V24a ) ) ) )
              = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V3f4_27_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V24a ) ) ) ) ) )
        & ! [V25a: mono_2Etyop_2Einteger_2Eint] :
            ( ( V9M_27
              = ( mono_2Ec_2EDeepSyntax_2ELTx @ V25a ) )
           => ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V15f5_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V25a ) ) ) )
              = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V2f5_27_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V25a ) ) ) ) ) )
        & ! [V26a: mono_2Etyop_2Einteger_2Eint] :
            ( ( V9M_27
              = ( mono_2Ec_2EDeepSyntax_2ExEQ @ V26a ) )
           => ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V16f6_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V26a ) ) ) )
              = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V1f6_27_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V26a ) ) ) ) ) )
        & ! [V27a0: mono_2Etyop_2Einteger_2Eint,V28a1: mono_2Etyop_2Einteger_2Eint] :
            ( ( V9M_27
              = ( mono_2Ec_2EDeepSyntax_2ExDivided @ V27a0 @ V28a1 ) )
           => ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ V17f7_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V27a0 ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V28a1 ) ) ) )
              = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ V0f7_27_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V27a0 ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V28a1 ) ) ) ) ) ) )
     => ( ( s @ A_27a @ ( c_2EDeepSyntax_2Edeep__form__CASE_2E9 @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V8M ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V10f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V11f1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V12f2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ A_27a ) @ V13f3_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V14f4_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V15f5_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V16f6_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ V17f7_2E0 ) ) )
        = ( s @ A_27a @ ( c_2EDeepSyntax_2Edeep__form__CASE_2E9 @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V9M_27 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V7f_27_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V6f1_27_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V5f2_27_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ A_27a ) @ V4f3_27_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V3f4_27_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V2f5_27_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V1f6_27_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ V0f7_27_2E0 ) ) ) ) ) ).

thf(thm_2EDeepSyntax_2Edeep__form__case__eq,axiom,
    ! [A_27a: d,V0x: mono_2Etyop_2EDeepSyntax_2Edeep__form,V1v_2E0: u,V2f7_2E0: u,V3f6_2E0: u,V4f5_2E0: u,V5f4_2E0: u,V6f3_2E0: u,V7f2_2E0: u,V8f1_2E0: u,V9f_2E0: u] :
      ( ( ( s @ A_27a @ ( c_2EDeepSyntax_2Edeep__form__CASE_2E9 @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V0x ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V9f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V8f1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V7f2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ A_27a ) @ V6f3_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V5f4_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V4f5_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V3f6_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ V2f7_2E0 ) ) )
        = ( s @ A_27a @ V1v_2E0 ) )
    <=> ( ? [V10d: mono_2Etyop_2EDeepSyntax_2Edeep__form,V11d0: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
            ( ( V0x
              = ( mono_2Ec_2EDeepSyntax_2EConjn @ V10d @ V11d0 ) )
            & ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V9f_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V10d ) ) ) ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V11d0 ) ) ) )
              = ( s @ A_27a @ V1v_2E0 ) ) )
        | ? [V12d: mono_2Etyop_2EDeepSyntax_2Edeep__form,V13d0: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
            ( ( V0x
              = ( mono_2Ec_2EDeepSyntax_2EDisjn @ V12d @ V13d0 ) )
            & ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) ) @ V8f1_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V12d ) ) ) ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V13d0 ) ) ) )
              = ( s @ A_27a @ V1v_2E0 ) ) )
        | ? [V14d: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
            ( ( V0x
              = ( mono_2Ec_2EDeepSyntax_2ENegn @ V14d ) )
            & ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2EDeepSyntax_2Edeep__form @ A_27a ) @ V7f2_2E0 ) @ ( s @ tyop_2EDeepSyntax_2Edeep__form @ ( i_mono_2Etyop_2EDeepSyntax_2Edeep__form @ V14d ) ) ) )
              = ( s @ A_27a @ V1v_2E0 ) ) )
        | ? [V15b: $o] :
            ( ( V0x
              = ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V15b ) )
            & ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ A_27a ) @ V6f3_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V15b ) ) ) )
              = ( s @ A_27a @ V1v_2E0 ) ) )
        | ? [V16i: mono_2Etyop_2Einteger_2Eint] :
            ( ( V0x
              = ( mono_2Ec_2EDeepSyntax_2ExLT @ V16i ) )
            & ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V5f4_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V16i ) ) ) )
              = ( s @ A_27a @ V1v_2E0 ) ) )
        | ? [V17i: mono_2Etyop_2Einteger_2Eint] :
            ( ( V0x
              = ( mono_2Ec_2EDeepSyntax_2ELTx @ V17i ) )
            & ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V4f5_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V17i ) ) ) )
              = ( s @ A_27a @ V1v_2E0 ) ) )
        | ? [V18i: mono_2Etyop_2Einteger_2Eint] :
            ( ( V0x
              = ( mono_2Ec_2EDeepSyntax_2ExEQ @ V18i ) )
            & ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ V3f6_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V18i ) ) ) )
              = ( s @ A_27a @ V1v_2E0 ) ) )
        | ? [V19i: mono_2Etyop_2Einteger_2Eint,V20i0: mono_2Etyop_2Einteger_2Eint] :
            ( ( V0x
              = ( mono_2Ec_2EDeepSyntax_2ExDivided @ V19i @ V20i0 ) )
            & ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ A_27a ) ) @ V2f7_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V19i ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ V20i0 ) ) ) )
              = ( s @ A_27a @ V1v_2E0 ) ) ) ) ) ).

thf(thm_2EDeepSyntax_2Eneginf__ok,axiom,
    ! [V0f: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
    ? [V1y: mono_2Etyop_2Einteger_2Eint] :
    ! [V2x: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Einteger_2Eint__lt @ V2x @ V1y )
     => ( ( mono_2Ec_2EDeepSyntax_2Eeval__form @ V0f @ V2x )
        = ( mono_2Ec_2EDeepSyntax_2Eeval__form @ ( mono_2Ec_2EDeepSyntax_2Eneginf @ V0f ) @ V2x ) ) ) ).

thf(thm_2EDeepSyntax_2Eposinf__ok,axiom,
    ! [V0f: mono_2Etyop_2EDeepSyntax_2Edeep__form] :
    ? [V1y: mono_2Etyop_2Einteger_2Eint] :
    ! [V2x: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Einteger_2Eint__lt @ V1y @ V2x )
     => ( ( mono_2Ec_2EDeepSyntax_2Eeval__form @ V0f @ V2x )
        = ( mono_2Ec_2EDeepSyntax_2Eeval__form @ ( mono_2Ec_2EDeepSyntax_2Eposinf @ V0f ) @ V2x ) ) ) ).

thf(thm_2EDeepSyntax_2Eadd__d__neginf,axiom,
    ! [V0f: mono_2Etyop_2EDeepSyntax_2Edeep__form,V1x: mono_2Etyop_2Einteger_2Eint,V2y: mono_2Etyop_2Einteger_2Eint,V3d: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2EDeepSyntax_2Ealldivide @ V0f @ V3d )
     => ( ( mono_2Ec_2EDeepSyntax_2Eeval__form @ ( mono_2Ec_2EDeepSyntax_2Eneginf @ V0f ) @ V1x )
        = ( mono_2Ec_2EDeepSyntax_2Eeval__form @ ( mono_2Ec_2EDeepSyntax_2Eneginf @ V0f ) @ ( mono_2Ec_2Einteger_2Eint__add @ V1x @ ( mono_2Ec_2Einteger_2Eint__mul @ V2y @ V3d ) ) ) ) ) ).

thf(thm_2EDeepSyntax_2Eadd__d__posinf,axiom,
    ! [V0f: mono_2Etyop_2EDeepSyntax_2Edeep__form,V1x: mono_2Etyop_2Einteger_2Eint,V2y: mono_2Etyop_2Einteger_2Eint,V3d: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2EDeepSyntax_2Ealldivide @ V0f @ V3d )
     => ( ( mono_2Ec_2EDeepSyntax_2Eeval__form @ ( mono_2Ec_2EDeepSyntax_2Eposinf @ V0f ) @ V1x )
        = ( mono_2Ec_2EDeepSyntax_2Eeval__form @ ( mono_2Ec_2EDeepSyntax_2Eposinf @ V0f ) @ ( mono_2Ec_2Einteger_2Eint__add @ V1x @ ( mono_2Ec_2Einteger_2Eint__mul @ V2y @ V3d ) ) ) ) ) ).

thf(thm_2EDeepSyntax_2Eneginf__disj1__implies__exoriginal,axiom,
    ! [V0f: mono_2Etyop_2EDeepSyntax_2Edeep__form,V1d: mono_2Etyop_2Einteger_2Eint,V2i: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2EDeepSyntax_2Ealldivide @ V0f @ V1d )
     => ( ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ V2i )
          & ( mono_2Ec_2Einteger_2Eint__le @ V2i @ V1d )
          & ( mono_2Ec_2EDeepSyntax_2Eeval__form @ ( mono_2Ec_2EDeepSyntax_2Eneginf @ V0f ) @ V2i ) )
       => ? [V3x: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2EDeepSyntax_2Eeval__form @ V0f @ V3x ) ) ) ).

thf(thm_2EDeepSyntax_2Eposinf__disj1__implies__exoriginal,axiom,
    ! [V0f: mono_2Etyop_2EDeepSyntax_2Edeep__form,V1d: mono_2Etyop_2Einteger_2Eint,V2i: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2EDeepSyntax_2Ealldivide @ V0f @ V1d )
     => ( ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ V2i )
          & ( mono_2Ec_2Einteger_2Eint__le @ V2i @ V1d )
          & ( mono_2Ec_2EDeepSyntax_2Eeval__form @ ( mono_2Ec_2EDeepSyntax_2Eposinf @ V0f ) @ V2i ) )
       => ? [V3x: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2EDeepSyntax_2Eeval__form @ V0f @ V3x ) ) ) ).

thf(thm_2EDeepSyntax_2Eneginf__exoriginal__implies__rhs,axiom,
    ! [V0f: mono_2Etyop_2EDeepSyntax_2Edeep__form,V1d: mono_2Etyop_2Einteger_2Eint,V2x: mono_2Etyop_2Einteger_2Eint] :
      ( ( ( mono_2Ec_2EDeepSyntax_2Ealldivide @ V0f @ V1d )
        & ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ V1d ) )
     => ( ( mono_2Ec_2EDeepSyntax_2Eeval__form @ V0f @ V2x )
       => ( ? [V3i: mono_2Etyop_2Einteger_2Eint] :
              ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ V3i )
              & ( mono_2Ec_2Einteger_2Eint__le @ V3i @ V1d )
              & ( mono_2Ec_2EDeepSyntax_2Eeval__form @ ( mono_2Ec_2EDeepSyntax_2Eneginf @ V0f ) @ V3i ) )
          | ? [V4j: mono_2Etyop_2Einteger_2Eint,V5b: mono_2Etyop_2Einteger_2Eint] :
              ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ V4j )
              & ( mono_2Ec_2Einteger_2Eint__le @ V4j @ V1d )
              & ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V5b @ ( mono_2Ec_2EDeepSyntax_2EBset @ mono_2Ec_2Ebool_2ET @ V0f ) )
              & ( mono_2Ec_2EDeepSyntax_2Eeval__form @ V0f @ ( mono_2Ec_2Einteger_2Eint__add @ V5b @ V4j ) ) ) ) ) ) ).

thf(thm_2EDeepSyntax_2Eposinf__exoriginal__implies__rhs,axiom,
    ! [V0f: mono_2Etyop_2EDeepSyntax_2Edeep__form,V1d: mono_2Etyop_2Einteger_2Eint,V2x: mono_2Etyop_2Einteger_2Eint] :
      ( ( ( mono_2Ec_2EDeepSyntax_2Ealldivide @ V0f @ V1d )
        & ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ V1d ) )
     => ( ( mono_2Ec_2EDeepSyntax_2Eeval__form @ V0f @ V2x )
       => ( ? [V3i: mono_2Etyop_2Einteger_2Eint] :
              ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ V3i )
              & ( mono_2Ec_2Einteger_2Eint__le @ V3i @ V1d )
              & ( mono_2Ec_2EDeepSyntax_2Eeval__form @ ( mono_2Ec_2EDeepSyntax_2Eposinf @ V0f ) @ V3i ) )
          | ? [V4j: mono_2Etyop_2Einteger_2Eint,V5b: mono_2Etyop_2Einteger_2Eint] :
              ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ V4j )
              & ( mono_2Ec_2Einteger_2Eint__le @ V4j @ V1d )
              & ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V5b @ ( mono_2Ec_2EDeepSyntax_2EAset @ mono_2Ec_2Ebool_2ET @ V0f ) )
              & ( mono_2Ec_2EDeepSyntax_2Eeval__form @ V0f @ ( mono_2Ec_2Einteger_2Eint__add @ V5b @ ( mono_2Ec_2Einteger_2Eint__neg @ V4j ) ) ) ) ) ) ) ).

thf(thm_2EDeepSyntax_2Eneginf__exoriginal__eq__rhs,axiom,
    ! [F1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o,F0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o] :
      ( ! [V5j: mono_2Etyop_2Einteger_2Eint,V1d: mono_2Etyop_2Einteger_2Eint] :
          ( ( F1 @ V5j @ V1d )
        <=> ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ V5j )
            & ( mono_2Ec_2Einteger_2Eint__le @ V5j @ V1d ) ) )
     => ( ! [V3i: mono_2Etyop_2Einteger_2Eint,V1d: mono_2Etyop_2Einteger_2Eint] :
            ( ( F0 @ V3i @ V1d )
          <=> ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ V3i )
              & ( mono_2Ec_2Einteger_2Eint__le @ V3i @ V1d ) ) )
       => ! [V0f: mono_2Etyop_2EDeepSyntax_2Edeep__form,V1d: mono_2Etyop_2Einteger_2Eint] :
            ( ( ( mono_2Ec_2EDeepSyntax_2Ealldivide @ V0f @ V1d )
              & ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ V1d ) )
           => ( ? [V2x: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2EDeepSyntax_2Eeval__form @ V0f @ V2x )
            <=> ( ? [V3i: mono_2Etyop_2Einteger_2Eint] :
                    ( ( mono_2Ec_2Ecombin_2EK_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Einteger_2Eint @ ( F0 @ V3i @ V1d ) @ V3i )
                    & ( mono_2Ec_2EDeepSyntax_2Eeval__form @ ( mono_2Ec_2EDeepSyntax_2Eneginf @ V0f ) @ V3i ) )
                | ? [V4b: mono_2Etyop_2Einteger_2Eint,V5j: mono_2Etyop_2Einteger_2Eint] :
                    ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V4b @ ( mono_2Ec_2EDeepSyntax_2EBset @ mono_2Ec_2Ebool_2ET @ V0f ) )
                    & ( mono_2Ec_2Ecombin_2EK_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Einteger_2Eint @ ( F1 @ V5j @ V1d ) @ V5j )
                    & ( mono_2Ec_2EDeepSyntax_2Eeval__form @ V0f @ ( mono_2Ec_2Einteger_2Eint__add @ V4b @ V5j ) ) ) ) ) ) ) ) ).

thf(thm_2EDeepSyntax_2Eposinf__exoriginal__eq__rhs,axiom,
    ! [F1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o,F0: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o] :
      ( ! [V5j: mono_2Etyop_2Einteger_2Eint,V1d: mono_2Etyop_2Einteger_2Eint] :
          ( ( F1 @ V5j @ V1d )
        <=> ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ V5j )
            & ( mono_2Ec_2Einteger_2Eint__le @ V5j @ V1d ) ) )
     => ( ! [V3i: mono_2Etyop_2Einteger_2Eint,V1d: mono_2Etyop_2Einteger_2Eint] :
            ( ( F0 @ V3i @ V1d )
          <=> ( ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ V3i )
              & ( mono_2Ec_2Einteger_2Eint__le @ V3i @ V1d ) ) )
       => ! [V0f: mono_2Etyop_2EDeepSyntax_2Edeep__form,V1d: mono_2Etyop_2Einteger_2Eint] :
            ( ( ( mono_2Ec_2EDeepSyntax_2Ealldivide @ V0f @ V1d )
              & ( mono_2Ec_2Einteger_2Eint__lt @ ( mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0 ) @ V1d ) )
           => ( ? [V2x: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2EDeepSyntax_2Eeval__form @ V0f @ V2x )
            <=> ( ? [V3i: mono_2Etyop_2Einteger_2Eint] :
                    ( ( mono_2Ec_2Ecombin_2EK_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Einteger_2Eint @ ( F0 @ V3i @ V1d ) @ V3i )
                    & ( mono_2Ec_2EDeepSyntax_2Eeval__form @ ( mono_2Ec_2EDeepSyntax_2Eposinf @ V0f ) @ V3i ) )
                | ? [V4b: mono_2Etyop_2Einteger_2Eint,V5j: mono_2Etyop_2Einteger_2Eint] :
                    ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V4b @ ( mono_2Ec_2EDeepSyntax_2EAset @ mono_2Ec_2Ebool_2ET @ V0f ) )
                    & ( mono_2Ec_2Ecombin_2EK_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Einteger_2Eint @ ( F1 @ V5j @ V1d ) @ V5j )
                    & ( mono_2Ec_2EDeepSyntax_2Eeval__form @ V0f @ ( mono_2Ec_2Einteger_2Eint__add @ V4b @ ( mono_2Ec_2Einteger_2Eint__mul @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) @ V5j ) ) ) ) ) ) ) ) ) ).

thf(thm_2EDeepSyntax_2Ein__bset,axiom,
    ! [V0pos: $o,V1i2: mono_2Etyop_2Einteger_2Eint,V2i1: mono_2Etyop_2Einteger_2Eint,V3i: mono_2Etyop_2Einteger_2Eint,V4f2: mono_2Etyop_2EDeepSyntax_2Edeep__form,V5f1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V6f: mono_2Etyop_2EDeepSyntax_2Edeep__form,V7b0: $o,V8P: mono_2Etyop_2Einteger_2Eint > $o] :
      ( ( ? [V9b: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V9b @ ( mono_2Ec_2EDeepSyntax_2EBset @ V0pos @ ( mono_2Ec_2EDeepSyntax_2EConjn @ V5f1 @ V4f2 ) ) )
            & ( V8P @ V9b ) )
      <=> ( ? [V10b: mono_2Etyop_2Einteger_2Eint] :
              ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V10b @ ( mono_2Ec_2EDeepSyntax_2EBset @ V0pos @ V5f1 ) )
              & ( V8P @ V10b ) )
          | ? [V11b: mono_2Etyop_2Einteger_2Eint] :
              ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V11b @ ( mono_2Ec_2EDeepSyntax_2EBset @ V0pos @ V4f2 ) )
              & ( V8P @ V11b ) ) ) )
      & ( ? [V12b: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V12b @ ( mono_2Ec_2EDeepSyntax_2EBset @ V0pos @ ( mono_2Ec_2EDeepSyntax_2EDisjn @ V5f1 @ V4f2 ) ) )
            & ( V8P @ V12b ) )
      <=> ( ? [V13b: mono_2Etyop_2Einteger_2Eint] :
              ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V13b @ ( mono_2Ec_2EDeepSyntax_2EBset @ V0pos @ V5f1 ) )
              & ( V8P @ V13b ) )
          | ? [V14b: mono_2Etyop_2Einteger_2Eint] :
              ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V14b @ ( mono_2Ec_2EDeepSyntax_2EBset @ V0pos @ V4f2 ) )
              & ( V8P @ V14b ) ) ) )
      & ( ? [V15b: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V15b @ ( mono_2Ec_2EDeepSyntax_2EBset @ mono_2Ec_2Ebool_2ET @ ( mono_2Ec_2EDeepSyntax_2ENegn @ V6f ) ) )
            & ( V8P @ V15b ) )
      <=> ? [V16b: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V16b @ ( mono_2Ec_2EDeepSyntax_2EBset @ mono_2Ec_2Ebool_2EF @ V6f ) )
            & ( V8P @ V16b ) ) )
      & ( ? [V17b: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V17b @ ( mono_2Ec_2EDeepSyntax_2EBset @ mono_2Ec_2Ebool_2EF @ ( mono_2Ec_2EDeepSyntax_2ENegn @ V6f ) ) )
            & ( V8P @ V17b ) )
      <=> ? [V18b: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V18b @ ( mono_2Ec_2EDeepSyntax_2EBset @ mono_2Ec_2Ebool_2ET @ V6f ) )
            & ( V8P @ V18b ) ) )
      & ( ? [V19b: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V19b @ ( mono_2Ec_2EDeepSyntax_2EBset @ V0pos @ ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V7b0 ) ) )
            & ( V8P @ V19b ) )
      <=> mono_2Ec_2Ebool_2EF )
      & ( ? [V20b: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V20b @ ( mono_2Ec_2EDeepSyntax_2EBset @ mono_2Ec_2Ebool_2ET @ ( mono_2Ec_2EDeepSyntax_2ExLT @ V3i ) ) )
            & ( V8P @ V20b ) )
      <=> mono_2Ec_2Ebool_2EF )
      & ( ? [V21b: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V21b @ ( mono_2Ec_2EDeepSyntax_2EBset @ mono_2Ec_2Ebool_2EF @ ( mono_2Ec_2EDeepSyntax_2ExLT @ V3i ) ) )
            & ( V8P @ V21b ) )
      <=> ( V8P @ ( mono_2Ec_2Einteger_2Eint__add @ V3i @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ) )
      & ( ? [V22b: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V22b @ ( mono_2Ec_2EDeepSyntax_2EBset @ mono_2Ec_2Ebool_2ET @ ( mono_2Ec_2EDeepSyntax_2ELTx @ V3i ) ) )
            & ( V8P @ V22b ) )
      <=> ( V8P @ V3i ) )
      & ( ? [V23b: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V23b @ ( mono_2Ec_2EDeepSyntax_2EBset @ mono_2Ec_2Ebool_2EF @ ( mono_2Ec_2EDeepSyntax_2ELTx @ V3i ) ) )
            & ( V8P @ V23b ) )
      <=> mono_2Ec_2Ebool_2EF )
      & ( ? [V24b: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V24b @ ( mono_2Ec_2EDeepSyntax_2EBset @ mono_2Ec_2Ebool_2ET @ ( mono_2Ec_2EDeepSyntax_2ExEQ @ V3i ) ) )
            & ( V8P @ V24b ) )
      <=> ( V8P @ ( mono_2Ec_2Einteger_2Eint__add @ V3i @ ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ) )
      & ( ? [V25b: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V25b @ ( mono_2Ec_2EDeepSyntax_2EBset @ mono_2Ec_2Ebool_2EF @ ( mono_2Ec_2EDeepSyntax_2ExEQ @ V3i ) ) )
            & ( V8P @ V25b ) )
      <=> ( V8P @ V3i ) )
      & ( ? [V26b: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V26b @ ( mono_2Ec_2EDeepSyntax_2EBset @ V0pos @ ( mono_2Ec_2EDeepSyntax_2ExDivided @ V2i1 @ V1i2 ) ) )
            & ( V8P @ V26b ) )
      <=> mono_2Ec_2Ebool_2EF ) ) ).

thf(thm_2EDeepSyntax_2Ein__aset,axiom,
    ! [V0pos: $o,V1i2: mono_2Etyop_2Einteger_2Eint,V2i1: mono_2Etyop_2Einteger_2Eint,V3i: mono_2Etyop_2Einteger_2Eint,V4f2: mono_2Etyop_2EDeepSyntax_2Edeep__form,V5f1: mono_2Etyop_2EDeepSyntax_2Edeep__form,V6f: mono_2Etyop_2EDeepSyntax_2Edeep__form,V7a0: $o,V8P: mono_2Etyop_2Einteger_2Eint > $o] :
      ( ( ? [V9a: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V9a @ ( mono_2Ec_2EDeepSyntax_2EAset @ V0pos @ ( mono_2Ec_2EDeepSyntax_2EConjn @ V5f1 @ V4f2 ) ) )
            & ( V8P @ V9a ) )
      <=> ( ? [V10a: mono_2Etyop_2Einteger_2Eint] :
              ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V10a @ ( mono_2Ec_2EDeepSyntax_2EAset @ V0pos @ V5f1 ) )
              & ( V8P @ V10a ) )
          | ? [V11a: mono_2Etyop_2Einteger_2Eint] :
              ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V11a @ ( mono_2Ec_2EDeepSyntax_2EAset @ V0pos @ V4f2 ) )
              & ( V8P @ V11a ) ) ) )
      & ( ? [V12a: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V12a @ ( mono_2Ec_2EDeepSyntax_2EAset @ V0pos @ ( mono_2Ec_2EDeepSyntax_2EDisjn @ V5f1 @ V4f2 ) ) )
            & ( V8P @ V12a ) )
      <=> ( ? [V13a: mono_2Etyop_2Einteger_2Eint] :
              ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V13a @ ( mono_2Ec_2EDeepSyntax_2EAset @ V0pos @ V5f1 ) )
              & ( V8P @ V13a ) )
          | ? [V14a: mono_2Etyop_2Einteger_2Eint] :
              ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V14a @ ( mono_2Ec_2EDeepSyntax_2EAset @ V0pos @ V4f2 ) )
              & ( V8P @ V14a ) ) ) )
      & ( ? [V15a: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V15a @ ( mono_2Ec_2EDeepSyntax_2EAset @ mono_2Ec_2Ebool_2ET @ ( mono_2Ec_2EDeepSyntax_2ENegn @ V6f ) ) )
            & ( V8P @ V15a ) )
      <=> ? [V16a: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V16a @ ( mono_2Ec_2EDeepSyntax_2EAset @ mono_2Ec_2Ebool_2EF @ V6f ) )
            & ( V8P @ V16a ) ) )
      & ( ? [V17a: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V17a @ ( mono_2Ec_2EDeepSyntax_2EAset @ mono_2Ec_2Ebool_2EF @ ( mono_2Ec_2EDeepSyntax_2ENegn @ V6f ) ) )
            & ( V8P @ V17a ) )
      <=> ? [V18a: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V18a @ ( mono_2Ec_2EDeepSyntax_2EAset @ mono_2Ec_2Ebool_2ET @ V6f ) )
            & ( V8P @ V18a ) ) )
      & ( ? [V19a: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V19a @ ( mono_2Ec_2EDeepSyntax_2EAset @ V0pos @ ( mono_2Ec_2EDeepSyntax_2EUnrelatedBool @ V7a0 ) ) )
            & ( V8P @ V19a ) )
      <=> mono_2Ec_2Ebool_2EF )
      & ( ? [V20a: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V20a @ ( mono_2Ec_2EDeepSyntax_2EAset @ mono_2Ec_2Ebool_2ET @ ( mono_2Ec_2EDeepSyntax_2ExLT @ V3i ) ) )
            & ( V8P @ V20a ) )
      <=> ( V8P @ V3i ) )
      & ( ? [V21a: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V21a @ ( mono_2Ec_2EDeepSyntax_2EAset @ mono_2Ec_2Ebool_2EF @ ( mono_2Ec_2EDeepSyntax_2ExLT @ V3i ) ) )
            & ( V8P @ V21a ) )
      <=> mono_2Ec_2Ebool_2EF )
      & ( ? [V22a: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V22a @ ( mono_2Ec_2EDeepSyntax_2EAset @ mono_2Ec_2Ebool_2ET @ ( mono_2Ec_2EDeepSyntax_2ELTx @ V3i ) ) )
            & ( V8P @ V22a ) )
      <=> mono_2Ec_2Ebool_2EF )
      & ( ? [V23a: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V23a @ ( mono_2Ec_2EDeepSyntax_2EAset @ mono_2Ec_2Ebool_2EF @ ( mono_2Ec_2EDeepSyntax_2ELTx @ V3i ) ) )
            & ( V8P @ V23a ) )
      <=> ( V8P @ ( mono_2Ec_2Einteger_2Eint__add @ V3i @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) )
      & ( ? [V24a: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V24a @ ( mono_2Ec_2EDeepSyntax_2EAset @ mono_2Ec_2Ebool_2ET @ ( mono_2Ec_2EDeepSyntax_2ExEQ @ V3i ) ) )
            & ( V8P @ V24a ) )
      <=> ( V8P @ ( mono_2Ec_2Einteger_2Eint__add @ V3i @ ( mono_2Ec_2Einteger_2Eint__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) )
      & ( ? [V25a: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V25a @ ( mono_2Ec_2EDeepSyntax_2EAset @ mono_2Ec_2Ebool_2EF @ ( mono_2Ec_2EDeepSyntax_2ExEQ @ V3i ) ) )
            & ( V8P @ V25a ) )
      <=> ( V8P @ V3i ) )
      & ( ? [V26a: mono_2Etyop_2Einteger_2Eint] :
            ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Einteger_2Eint @ V26a @ ( mono_2Ec_2EDeepSyntax_2EAset @ V0pos @ ( mono_2Ec_2EDeepSyntax_2ExDivided @ V2i1 @ V1i2 ) ) )
            & ( V8P @ V26a ) )
      <=> mono_2Ec_2Ebool_2EF ) ) ).

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