ITP001 Axioms: ITP130^4.ax
%------------------------------------------------------------------------------
% File : ITP130^4 : 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 : poly.ax [Gau19]
% : HL4130^4.ax [TPAP]
% Status : Satisfiable
% Syntax : Number of formulae : 638 ( 242 unt; 323 typ; 0 def)
% Number of atoms : 543 ( 376 equ; 34 cnn)
% Maximal formula atoms : 8 ( 0 avg)
% Number of connectives : 4620 ( 34 ~; 8 |; 62 &;4424 @)
% ( 34 <=>; 58 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg;4424 nst)
% Number of types : 8 ( 7 usr)
% Number of type conns : 965 ( 965 >; 0 *; 0 +; 0 <<)
% Number of symbols : 318 ( 316 usr; 69 con; 0-4 aty)
% Number of variables : 630 ( 0 ^ 606 !; 24 ?; 630 :)
% 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_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,type,
mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29: $tType ).
thf(mono_2Etyop_2Enum_2Enum,type,
mono_2Etyop_2Enum_2Enum: $tType ).
thf(mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,type,
mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: $tType ).
thf(mono_2Etyop_2Erealax_2Ereal,type,
mono_2Etyop_2Erealax_2Ereal: $tType ).
thf(tyop_2Elist_2Elist,type,
tyop_2Elist_2Elist: d > d ).
thf(tyop_2Emin_2Ebool,type,
tyop_2Emin_2Ebool: d ).
thf(tyop_2Emin_2Efun,type,
tyop_2Emin_2Efun: d > d > d ).
thf(tyop_2Enum_2Enum,type,
tyop_2Enum_2Enum: d ).
thf(tyop_2Epair_2Eprod,type,
tyop_2Epair_2Eprod: d > d > d ).
thf(tyop_2Erealax_2Ereal,type,
tyop_2Erealax_2Ereal: 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_2Epoly_2E_23_23_2E0,type,
c_2Epoly_2E_23_23_2E0: u ).
thf(c_2Epoly_2E_23_23_2E1,type,
c_2Epoly_2E_23_23_2E1: du > u ).
thf(c_2Epoly_2E_23_23_2E2,type,
c_2Epoly_2E_23_23_2E2: du > du > u ).
thf(c_2Earithmetic_2E_2B_2E0,type,
c_2Earithmetic_2E_2B_2E0: u ).
thf(c_2Earithmetic_2E_2B_2E2,type,
c_2Earithmetic_2E_2B_2E2: du > du > u ).
thf(c_2Epair_2E_2C_2E0,type,
c_2Epair_2E_2C_2E0: u ).
thf(c_2Epair_2E_2C_2E2,type,
c_2Epair_2E_2C_2E2: du > du > u ).
thf(c_2Ebool_2E_2F_5C_2E0,type,
c_2Ebool_2E_2F_5C_2E0: u ).
thf(c_2Ebool_2E_2F_5C_2E2,type,
c_2Ebool_2E_2F_5C_2E2: du > du > u ).
thf(c_2Enum_2E0_2E0,type,
c_2Enum_2E0_2E0: u ).
thf(c_2Eprim__rec_2E_3C_2E0,type,
c_2Eprim__rec_2E_3C_2E0: u ).
thf(c_2Eprim__rec_2E_3C_2E2,type,
c_2Eprim__rec_2E_3C_2E2: du > du > u ).
thf(c_2Earithmetic_2E_3C_3D_2E0,type,
c_2Earithmetic_2E_3C_3D_2E0: u ).
thf(c_2Earithmetic_2E_3C_3D_2E2,type,
c_2Earithmetic_2E_3C_3D_2E2: du > du > u ).
thf(c_2Emin_2E_3D_2E0,type,
c_2Emin_2E_3D_2E0: u ).
thf(c_2Emin_2E_3D_2E2,type,
c_2Emin_2E_3D_2E2: du > du > u ).
thf(c_2Emin_2E_3D_3D_3E_2E0,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
thf(c_2Emin_2E_3D_3D_3E_2E2,type,
c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
thf(c_2Ebool_2E_3F_2E0,type,
c_2Ebool_2E_3F_2E0: u ).
thf(c_2Ebool_2E_3F_2E1,type,
c_2Ebool_2E_3F_2E1: du > u ).
thf(c_2Ebool_2E_3F_21_2E0,type,
c_2Ebool_2E_3F_21_2E0: u ).
thf(c_2Ebool_2E_3F_21_2E1,type,
c_2Ebool_2E_3F_21_2E1: du > u ).
thf(c_2Emin_2E_40_2E0,type,
c_2Emin_2E_40_2E0: u ).
thf(c_2Emin_2E_40_2E1,type,
c_2Emin_2E_40_2E1: du > u ).
thf(c_2Earithmetic_2EBIT1_2E0,type,
c_2Earithmetic_2EBIT1_2E0: u ).
thf(c_2Earithmetic_2EBIT1_2E1,type,
c_2Earithmetic_2EBIT1_2E1: du > u ).
thf(c_2Ebool_2ECOND_2E0,type,
c_2Ebool_2ECOND_2E0: u ).
thf(c_2Ebool_2ECOND_2E3,type,
c_2Ebool_2ECOND_2E3: du > du > du > u ).
thf(c_2Elist_2ECONS_2E0,type,
c_2Elist_2ECONS_2E0: u ).
thf(c_2Elist_2ECONS_2E2,type,
c_2Elist_2ECONS_2E2: du > du > u ).
thf(c_2Elist_2EEVERY_2E0,type,
c_2Elist_2EEVERY_2E0: u ).
thf(c_2Elist_2EEVERY_2E2,type,
c_2Elist_2EEVERY_2E2: du > du > u ).
thf(c_2Ebool_2EF_2E0,type,
c_2Ebool_2EF_2E0: u ).
thf(c_2Epred__set_2EFINITE_2E0,type,
c_2Epred__set_2EFINITE_2E0: u ).
thf(c_2Epred__set_2EFINITE_2E1,type,
c_2Epred__set_2EFINITE_2E1: du > u ).
thf(c_2Epred__set_2EGSPEC_2E0,type,
c_2Epred__set_2EGSPEC_2E0: u ).
thf(c_2Epred__set_2EGSPEC_2E1,type,
c_2Epred__set_2EGSPEC_2E1: du > u ).
thf(c_2Elist_2EHD_2E0,type,
c_2Elist_2EHD_2E0: u ).
thf(c_2Elist_2EHD_2E1,type,
c_2Elist_2EHD_2E1: du > u ).
thf(c_2Elist_2ELENGTH_2E0,type,
c_2Elist_2ELENGTH_2E0: u ).
thf(c_2Elist_2ELENGTH_2E1,type,
c_2Elist_2ELENGTH_2E1: du > u ).
thf(c_2Elist_2EMAP_2E0,type,
c_2Elist_2EMAP_2E0: u ).
thf(c_2Elist_2EMAP_2E2,type,
c_2Elist_2EMAP_2E2: du > du > u ).
thf(c_2Elist_2ENIL_2E0,type,
c_2Elist_2ENIL_2E0: u ).
thf(c_2Earithmetic_2ENUMERAL_2E0,type,
c_2Earithmetic_2ENUMERAL_2E0: u ).
thf(c_2Earithmetic_2ENUMERAL_2E1,type,
c_2Earithmetic_2ENUMERAL_2E1: du > u ).
thf(c_2Eprim__rec_2EPRE_2E0,type,
c_2Eprim__rec_2EPRE_2E0: u ).
thf(c_2Eprim__rec_2EPRE_2E1,type,
c_2Eprim__rec_2EPRE_2E1: du > u ).
thf(c_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_2Elist_2ETL_2E0,type,
c_2Elist_2ETL_2E0: u ).
thf(c_2Elist_2ETL_2E1,type,
c_2Elist_2ETL_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_2Ereal_2Eabs_2E0,type,
c_2Ereal_2Eabs_2E0: u ).
thf(c_2Ereal_2Eabs_2E1,type,
c_2Ereal_2Eabs_2E1: du > u ).
thf(c_2Elim_2Econtl_2E0,type,
c_2Elim_2Econtl_2E0: u ).
thf(c_2Elim_2Econtl_2E2,type,
c_2Elim_2Econtl_2E2: du > du > u ).
thf(c_2Epoly_2Edegree_2E0,type,
c_2Epoly_2Edegree_2E0: u ).
thf(c_2Epoly_2Edegree_2E1,type,
c_2Epoly_2Edegree_2E1: du > u ).
thf(c_2Epoly_2Ediff_2E0,type,
c_2Epoly_2Ediff_2E0: u ).
thf(c_2Epoly_2Ediff_2E1,type,
c_2Epoly_2Ediff_2E1: du > u ).
thf(c_2Elim_2Edifferentiable_2E0,type,
c_2Elim_2Edifferentiable_2E0: u ).
thf(c_2Elim_2Edifferentiable_2E2,type,
c_2Elim_2Edifferentiable_2E2: du > du > u ).
thf(c_2Elim_2Ediffl_2E0,type,
c_2Elim_2Ediffl_2E0: u ).
thf(c_2Elim_2Ediffl_2E3,type,
c_2Elim_2Ediffl_2E3: du > du > du > u ).
thf(c_2Epoly_2Enormalize_2E0,type,
c_2Epoly_2Enormalize_2E0: u ).
thf(c_2Epoly_2Enormalize_2E1,type,
c_2Epoly_2Enormalize_2E1: du > u ).
thf(c_2Epoly_2Epoly_2E0,type,
c_2Epoly_2Epoly_2E0: u ).
thf(c_2Epoly_2Epoly_2E1,type,
c_2Epoly_2Epoly_2E1: du > u ).
thf(c_2Epoly_2Epoly_2E2,type,
c_2Epoly_2Epoly_2E2: du > du > u ).
thf(c_2Epoly_2Epoly__add_2E0,type,
c_2Epoly_2Epoly__add_2E0: u ).
thf(c_2Epoly_2Epoly__add_2E2,type,
c_2Epoly_2Epoly__add_2E2: du > du > u ).
thf(c_2Epoly_2Epoly__diff__aux_2E0,type,
c_2Epoly_2Epoly__diff__aux_2E0: u ).
thf(c_2Epoly_2Epoly__diff__aux_2E2,type,
c_2Epoly_2Epoly__diff__aux_2E2: du > du > u ).
thf(c_2Epoly_2Epoly__divides_2E0,type,
c_2Epoly_2Epoly__divides_2E0: u ).
thf(c_2Epoly_2Epoly__divides_2E2,type,
c_2Epoly_2Epoly__divides_2E2: du > du > u ).
thf(c_2Epoly_2Epoly__exp_2E0,type,
c_2Epoly_2Epoly__exp_2E0: u ).
thf(c_2Epoly_2Epoly__exp_2E2,type,
c_2Epoly_2Epoly__exp_2E2: du > du > u ).
thf(c_2Epoly_2Epoly__mul_2E0,type,
c_2Epoly_2Epoly__mul_2E0: u ).
thf(c_2Epoly_2Epoly__mul_2E2,type,
c_2Epoly_2Epoly__mul_2E2: du > du > u ).
thf(c_2Epoly_2Epoly__neg_2E0,type,
c_2Epoly_2Epoly__neg_2E0: u ).
thf(c_2Epoly_2Epoly__neg_2E1,type,
c_2Epoly_2Epoly__neg_2E1: du > u ).
thf(c_2Epoly_2Epoly__order_2E0,type,
c_2Epoly_2Epoly__order_2E0: u ).
thf(c_2Epoly_2Epoly__order_2E2,type,
c_2Epoly_2Epoly__order_2E2: du > du > u ).
thf(c_2Ereal_2Epow_2E0,type,
c_2Ereal_2Epow_2E0: u ).
thf(c_2Ereal_2Epow_2E2,type,
c_2Ereal_2Epow_2E2: du > du > u ).
thf(c_2Erealax_2Ereal__add_2E0,type,
c_2Erealax_2Ereal__add_2E0: u ).
thf(c_2Erealax_2Ereal__add_2E2,type,
c_2Erealax_2Ereal__add_2E2: du > du > u ).
thf(c_2Ereal_2Ereal__gt_2E0,type,
c_2Ereal_2Ereal__gt_2E0: u ).
thf(c_2Ereal_2Ereal__gt_2E2,type,
c_2Ereal_2Ereal__gt_2E2: du > du > u ).
thf(c_2Erealax_2Ereal__lt_2E0,type,
c_2Erealax_2Ereal__lt_2E0: u ).
thf(c_2Erealax_2Ereal__lt_2E2,type,
c_2Erealax_2Ereal__lt_2E2: du > du > u ).
thf(c_2Ereal_2Ereal__lte_2E0,type,
c_2Ereal_2Ereal__lte_2E0: u ).
thf(c_2Ereal_2Ereal__lte_2E2,type,
c_2Ereal_2Ereal__lte_2E2: du > du > u ).
thf(c_2Erealax_2Ereal__mul_2E0,type,
c_2Erealax_2Ereal__mul_2E0: u ).
thf(c_2Erealax_2Ereal__mul_2E2,type,
c_2Erealax_2Ereal__mul_2E2: du > du > u ).
thf(c_2Erealax_2Ereal__neg_2E0,type,
c_2Erealax_2Ereal__neg_2E0: u ).
thf(c_2Erealax_2Ereal__neg_2E1,type,
c_2Erealax_2Ereal__neg_2E1: du > u ).
thf(c_2Ereal_2Ereal__of__num_2E0,type,
c_2Ereal_2Ereal__of__num_2E0: u ).
thf(c_2Ereal_2Ereal__of__num_2E1,type,
c_2Ereal_2Ereal__of__num_2E1: du > u ).
thf(c_2Ereal_2Ereal__sub_2E0,type,
c_2Ereal_2Ereal__sub_2E0: u ).
thf(c_2Ereal_2Ereal__sub_2E2,type,
c_2Ereal_2Ereal__sub_2E2: du > du > u ).
thf(c_2Epoly_2Ersquarefree_2E0,type,
c_2Epoly_2Ersquarefree_2E0: u ).
thf(c_2Epoly_2Ersquarefree_2E1,type,
c_2Epoly_2Ersquarefree_2E1: du > u ).
thf(c_2Ebool_2E_7E_2E0,type,
c_2Ebool_2E_7E_2E0: u ).
thf(c_2Ebool_2E_7E_2E1,type,
c_2Ebool_2E_7E_2E1: du > u ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29: ( $o > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ) > $o > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: ( $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: ( $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ) > $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Enum_2Enum,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Enum_2Enum: ( ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Erealax_2Ereal > $o ) > $o ) > ( mono_2Etyop_2Erealax_2Ereal > $o ) > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Erealax_2Ereal > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o ) > ( mono_2Etyop_2Erealax_2Ereal > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Erealax_2Ereal > $o ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Erealax_2Ereal > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29: ( ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal > $o ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Enum_2Enum,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Erealax_2Ereal,type,
mono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
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_2Erealax_2Ereal,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal ).
thf(mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Erealax_2Ereal > $o ) > mono_2Etyop_2Erealax_2Ereal > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Erealax_2Ereal > $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Erealax_2Ereal > $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o ) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29,type,
mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,type,
mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal ).
thf(mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o ) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,type,
mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).
thf(mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal,type,
mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).
thf(mono_2Ec_2Epoly_2E_23_23,type,
mono_2Ec_2Epoly_2E_23_23: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_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_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Erealax_2Ereal > $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_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_2Eprim__rec_2E_3C,type,
mono_2Ec_2Eprim__rec_2E_3C: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2Earithmetic_2E_3C_3D,type,
mono_2Ec_2Earithmetic_2E_3C_3D: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(mono_2Ec_2Emin_2E_3D_3D_3E,type,
mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(mono_2Ec_2Ebool_2E_3F_21_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ebool_2E_3F_21_2Emono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
thf(mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Earithmetic_2EBIT1,type,
mono_2Ec_2Earithmetic_2EBIT1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,type,
mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29: $o > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum,type,
mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum: $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal,type,
mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(mono_2Ec_2Elist_2EEVERY_2Emono_2Etyop_2Erealax_2Ereal,type,
mono_2Ec_2Elist_2EEVERY_2Emono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Erealax_2Ereal > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o ).
thf(mono_2Ec_2Ebool_2EF,type,
mono_2Ec_2Ebool_2EF: $o ).
thf(mono_2Ec_2Epred__set_2EFINITE_2Emono_2Etyop_2Erealax_2Ereal,type,
mono_2Ec_2Epred__set_2EFINITE_2Emono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Erealax_2Ereal > $o ) > $o ).
thf(mono_2Ec_2Epred__set_2EGSPEC_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal,type,
mono_2Ec_2Epred__set_2EGSPEC_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Erealax_2Ereal > $o ).
thf(mono_2Ec_2Elist_2EHD_2Emono_2Etyop_2Erealax_2Ereal,type,
mono_2Ec_2Elist_2EHD_2Emono_2Etyop_2Erealax_2Ereal: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal ).
thf(mono_2Ec_2Elist_2ELENGTH_2Emono_2Etyop_2Erealax_2Ereal,type,
mono_2Ec_2Elist_2ELENGTH_2Emono_2Etyop_2Erealax_2Ereal: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Elist_2EMAP_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal,type,
mono_2Ec_2Elist_2EMAP_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal,type,
mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(mono_2Ec_2Earithmetic_2ENUMERAL,type,
mono_2Ec_2Earithmetic_2ENUMERAL: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Eprim__rec_2EPRE,type,
mono_2Ec_2Eprim__rec_2EPRE: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
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_2Elist_2ETL_2Emono_2Etyop_2Erealax_2Ereal,type,
mono_2Ec_2Elist_2ETL_2Emono_2Etyop_2Erealax_2Ereal: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
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_2Ereal_2Eabs,type,
mono_2Ec_2Ereal_2Eabs: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).
thf(mono_2Ec_2Elim_2Econtl,type,
mono_2Ec_2Elim_2Econtl: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal > $o ).
thf(mono_2Ec_2Epoly_2Edegree,type,
mono_2Ec_2Epoly_2Edegree: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Epoly_2Ediff,type,
mono_2Ec_2Epoly_2Ediff: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(mono_2Ec_2Elim_2Edifferentiable,type,
mono_2Ec_2Elim_2Edifferentiable: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal > $o ).
thf(mono_2Ec_2Elim_2Ediffl,type,
mono_2Ec_2Elim_2Ediffl: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o ).
thf(mono_2Ec_2Epoly_2Enormalize,type,
mono_2Ec_2Epoly_2Enormalize: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(mono_2Ec_2Epoly_2Epoly,type,
mono_2Ec_2Epoly_2Epoly: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).
thf(mono_2Ec_2Epoly_2Epoly__add,type,
mono_2Ec_2Epoly_2Epoly__add: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(mono_2Ec_2Epoly_2Epoly__diff__aux,type,
mono_2Ec_2Epoly_2Epoly__diff__aux: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(mono_2Ec_2Epoly_2Epoly__divides,type,
mono_2Ec_2Epoly_2Epoly__divides: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o ).
thf(mono_2Ec_2Epoly_2Epoly__exp,type,
mono_2Ec_2Epoly_2Epoly__exp: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(mono_2Ec_2Epoly_2Epoly__mul,type,
mono_2Ec_2Epoly_2Epoly__mul: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(mono_2Ec_2Epoly_2Epoly__neg,type,
mono_2Ec_2Epoly_2Epoly__neg: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(mono_2Ec_2Epoly_2Epoly__order,type,
mono_2Ec_2Epoly_2Epoly__order: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum ).
thf(mono_2Ec_2Ereal_2Epow,type,
mono_2Ec_2Ereal_2Epow: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal ).
thf(mono_2Ec_2Erealax_2Ereal__add,type,
mono_2Ec_2Erealax_2Ereal__add: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).
thf(mono_2Ec_2Ereal_2Ereal__gt,type,
mono_2Ec_2Ereal_2Ereal__gt: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o ).
thf(mono_2Ec_2Erealax_2Ereal__lt,type,
mono_2Ec_2Erealax_2Ereal__lt: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o ).
thf(mono_2Ec_2Ereal_2Ereal__lte,type,
mono_2Ec_2Ereal_2Ereal__lte: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o ).
thf(mono_2Ec_2Erealax_2Ereal__mul,type,
mono_2Ec_2Erealax_2Ereal__mul: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).
thf(mono_2Ec_2Erealax_2Ereal__neg,type,
mono_2Ec_2Erealax_2Ereal__neg: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).
thf(mono_2Ec_2Ereal_2Ereal__of__num,type,
mono_2Ec_2Ereal_2Ereal__of__num: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal ).
thf(mono_2Ec_2Ereal_2Ereal__sub,type,
mono_2Ec_2Ereal_2Ereal__sub: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).
thf(mono_2Ec_2Epoly_2Ersquarefree,type,
mono_2Ec_2Epoly_2Ersquarefree: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o ).
thf(mono_2Ec_2Ebool_2E_7E,type,
mono_2Ec_2Ebool_2E_7E: $o > $o ).
thf(i_mono_2Etyop_2Emin_2Ebool,type,
i_mono_2Etyop_2Emin_2Ebool: $o > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29_29: ( $o > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29: ( $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: ( $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Enum_2Enum_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Enum_2Enum_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Erealax_2Ereal > $o ) > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Erealax_2Ereal > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Erealax_2Ereal > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29: ( ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29: ( ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29: ( mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ) > 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_2Erealax_2Ereal_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Erealax_2Ereal > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29: ( mono_2Etyop_2Erealax_2Ereal > $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > u ).
thf(i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,type,
i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > 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_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 > u ).
thf(i_mono_2Etyop_2Erealax_2Ereal,type,
i_mono_2Etyop_2Erealax_2Ereal: mono_2Etyop_2Erealax_2Ereal > u ).
thf(j_mono_2Etyop_2Emin_2Ebool,type,
j_mono_2Etyop_2Emin_2Ebool: du > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29_29: du > $o > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29: du > $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: du > $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Enum_2Enum_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Enum_2Enum_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Erealax_2Ereal > $o ) > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Erealax_2Ereal > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Erealax_2Ereal > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29: du > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29: du > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Enum_2Enum > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
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_2Erealax_2Ereal_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Erealax_2Ereal > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29: du > mono_2Etyop_2Erealax_2Ereal > $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29: du > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29: du > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29: du > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29: du > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: du > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).
thf(j_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,type,
j_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29: du > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ).
thf(j_mono_2Etyop_2Enum_2Enum,type,
j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum ).
thf(j_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ).
thf(j_mono_2Etyop_2Erealax_2Ereal,type,
j_mono_2Etyop_2Erealax_2Ereal: du > mono_2Etyop_2Erealax_2Ereal ).
thf(reserved_2Eho_2Eeq__ext,axiom,
! [A_27a: d,A_27b: d,V0f_2E0: u,V1g_2E0: u] :
( ! [V2x_2E0: u] :
( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) )
= ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
=> ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 )
= ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) ).
thf(reserved_2Eho_2Ei__thm,axiom,
! [A_27a: d,V0x_2E0: u] :
( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ combin_i_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) )
= ( s @ A_27a @ V0x_2E0 ) ) ).
thf(reserved_2Eho_2Ek__thm,axiom,
! [A_27a: d,A_27b: d,V0x_2E0: u,V1y_2E0: u] :
( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) ) @ combin_k_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) ) @ ( s @ A_27b @ V1y_2E0 ) ) )
= ( s @ A_27a @ V0x_2E0 ) ) ).
thf(reserved_2Eho_2Es__thm,axiom,
! [A_27a: d,A_27b: d,A_27c: d,V0f_2E0: u,V1g_2E0: u,V2x_2E0: u] :
( ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) @ ( s @ A_27a @ V2x_2E0 ) ) )
= ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) ) ) ).
thf(reserved_2Elogic_2E_2F_5C,axiom,
! [V0: $o,V1: $o] :
( ( mono_2Ec_2Ebool_2E_2F_5C @ V0 @ V1 )
<=> ( V0
& V1 ) ) ).
thf(reserved_2Elogic_2E_5C_2F,axiom,
! [V0: $o,V1: $o] :
( ( mono_2Ec_2Ebool_2E_5C_2F @ V0 @ V1 )
<=> ( V0
| V1 ) ) ).
thf(reserved_2Elogic_2E_7E,axiom,
! [V0: $o] :
( ( mono_2Ec_2Ebool_2E_7E @ V0 )
<=> ( (~) @ V0 ) ) ).
thf(reserved_2Elogic_2E_3D_3D_3E,axiom,
! [V0: $o,V1: $o] :
( ( mono_2Ec_2Emin_2E_3D_3D_3E @ V0 @ V1 )
<=> ( V0
=> V1 ) ) ).
thf(reserved_2Elogic_2E_3D,axiom,
! [A_27a: d,V0_2E0: u,V1_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) )
<=> ( ( s @ A_27a @ V0_2E0 )
= ( s @ A_27a @ V1_2E0 ) ) ) ).
thf(reserved_2Equant_2E_21,axiom,
! [A_27a: d,V0f_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
<=> ! [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
thf(reserved_2Equant_2E_3F,axiom,
! [A_27a: d,V0f_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
<=> ? [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [V0_2E0: u] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Erealax_2Ereal ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Erealax_2Ereal ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) @ 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_2Erealax_2Ereal_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erealax_2Ereal ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erealax_2Ereal ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erealax_2Ereal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erealax_2Ereal ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erealax_2Ereal ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ ( j_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ 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_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Erealax_2Ereal,axiom,
! [V0_2E0: u] :
( ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ ( j_mono_2Etyop_2Erealax_2Ereal @ ( s @ tyop_2Erealax_2Ereal @ V0_2E0 ) ) ) )
= ( s @ tyop_2Erealax_2Ereal @ V0_2E0 ) ) ).
thf(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [V0: $o] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: $o > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: $o > $o > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29_29,axiom,
! [V0: $o > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29,axiom,
! [V0: $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Enum_2Enum_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Erealax_2Ereal > $o ) > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( mono_2Etyop_2Erealax_2Ereal > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Erealax_2Ereal > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_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_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erealax_2Ereal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( j_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29] :
( ( j_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Erealax_2Ereal,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal] :
( ( j_mono_2Etyop_2Erealax_2Ereal @ ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ V0 ) ) )
= V0 ) ).
thf(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_21_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).
thf(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u,X1_2E0: u] :
( ( ( s @ A_27a @ X0_2E0 )
= ( s @ A_27a @ X1_2E0 ) )
<=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ A_27a @ X0_2E0 ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) ) ) ).
thf(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
! [A_27a: d,X0_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_3F_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: $o > $o,V1: $o] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: $o > $o > $o,V1: $o] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29,axiom,
! [V0: $o > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1: $o] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_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_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: $o] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,V1: $o] :
( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum > $o] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: ( mono_2Etyop_2Erealax_2Ereal > $o ) > $o,V1: mono_2Etyop_2Erealax_2Ereal > $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_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Erealax_2Ereal > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o,V1: mono_2Etyop_2Erealax_2Ereal > $o] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Erealax_2Ereal > $o,V1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29,axiom,
! [V0: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal > $o,V1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o,V1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Erealax_2Ereal,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Erealax_2Ereal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Erealax_2Ereal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > $o,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ V0 ) ) @ ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erealax_2Ereal ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erealax_2Ereal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29 @ V0 ) ) @ ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @ V0 ) ) @ ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Erealax_2Ereal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @ V0 ) ) @ ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Epair_2E_2C_2E0_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29 @ mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) ) @ c_2Epair_2E_2C_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal,V1: $o] :
( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool @ V0 @ V1 ) ) )
= ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2E_3F_21_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Ebool_2E_3F_21_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_3F_21_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2E_3F_21_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > $o] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Ebool_2E_3F_21_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Enum_2Enum_29 @ mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Enum_2Enum ) @ c_2Emin_2E_40_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > $o] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Enum_2Enum @ V0 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( c_2Emin_2E_40_2E1 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29_29 @ mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) ) @ c_2Ebool_2ECOND_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,axiom,
! [V0: $o,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ V0 @ V1 @ V2 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ V1 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ V2 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29 @ mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ c_2Ebool_2ECOND_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum,axiom,
! [V0: $o,V1: mono_2Etyop_2Enum_2Enum,V2: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ V0 @ V1 @ V2 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V2 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2ECONS_2E0_2Emono_2Etyop_2Erealax_2Ereal,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ c_2Elist_2ECONS_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2ECONS_2E2_2Emono_2Etyop_2Erealax_2Ereal,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V0 @ V1 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( c_2Elist_2ECONS_2E2 @ ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2EEVERY_2E0_2Emono_2Etyop_2Erealax_2Ereal,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_29 @ mono_2Ec_2Elist_2EEVERY_2Emono_2Etyop_2Erealax_2Ereal ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Emin_2Ebool ) ) @ c_2Elist_2EEVERY_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2EEVERY_2E2_2Emono_2Etyop_2Erealax_2Ereal,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > $o,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Elist_2EEVERY_2Emono_2Etyop_2Erealax_2Ereal @ V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Elist_2EEVERY_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Epred__set_2EFINITE_2E0_2Emono_2Etyop_2Erealax_2Ereal,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Epred__set_2EFINITE_2Emono_2Etyop_2Erealax_2Ereal ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EFINITE_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Epred__set_2EFINITE_2E1_2Emono_2Etyop_2Erealax_2Ereal,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > $o] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Epred__set_2EFINITE_2Emono_2Etyop_2Erealax_2Ereal @ V0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EFINITE_2E1 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Epred__set_2EGSPEC_2E0_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ mono_2Ec_2Epred__set_2EGSPEC_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ c_2Epred__set_2EGSPEC_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Epred__set_2EGSPEC_2E1_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ ( mono_2Ec_2Epred__set_2EGSPEC_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ V0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EGSPEC_2E1 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2EHD_2E0_2Emono_2Etyop_2Erealax_2Ereal,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29 @ mono_2Ec_2Elist_2EHD_2Emono_2Etyop_2Erealax_2Ereal ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Erealax_2Ereal ) @ c_2Elist_2EHD_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2EHD_2E1_2Emono_2Etyop_2Erealax_2Ereal,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Elist_2EHD_2Emono_2Etyop_2Erealax_2Ereal @ V0 ) ) )
= ( s @ tyop_2Erealax_2Ereal @ ( c_2Elist_2EHD_2E1 @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2ELENGTH_2E0_2Emono_2Etyop_2Erealax_2Ereal,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29 @ mono_2Ec_2Elist_2ELENGTH_2Emono_2Etyop_2Erealax_2Ereal ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ tyop_2Enum_2Enum ) @ c_2Elist_2ELENGTH_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2ELENGTH_2E1_2Emono_2Etyop_2Erealax_2Ereal,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Elist_2ELENGTH_2Emono_2Etyop_2Erealax_2Ereal @ V0 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( c_2Elist_2ELENGTH_2E1 @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2EMAP_2E0_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29 @ mono_2Ec_2Elist_2EMAP_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) ) @ c_2Elist_2EMAP_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2EMAP_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ ( mono_2Ec_2Elist_2EMAP_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ V0 @ V1 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( c_2Elist_2EMAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @ V0 ) ) @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2ENIL_2E0_2Emono_2Etyop_2Erealax_2Ereal,axiom,
( ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) )
= ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ c_2Elist_2ENIL_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2ETL_2E0_2Emono_2Etyop_2Erealax_2Ereal,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29 @ mono_2Ec_2Elist_2ETL_2Emono_2Etyop_2Erealax_2Ereal ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) ) @ c_2Elist_2ETL_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Elist_2ETL_2E1_2Emono_2Etyop_2Erealax_2Ereal,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ ( mono_2Ec_2Elist_2ETL_2Emono_2Etyop_2Erealax_2Ereal @ V0 ) ) )
= ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( c_2Elist_2ETL_2E1 @ ( s @ ( tyop_2Elist_2Elist @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ V0 ) ) ) ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: $o > $o,V1: $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: $o > $o > $o,V1: $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29_29,axiom,
! [V0: $o > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1: $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
! [V0: $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,V1: $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: ( mono_2Etyop_2Erealax_2Ereal > $o ) > $o,V1: mono_2Etyop_2Erealax_2Ereal > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Erealax_2Ereal > $o ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o,V1: mono_2Etyop_2Erealax_2Ereal > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Erealax_2Ereal > $o,V1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29,axiom,
! [V0: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal > $o,V1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o,V1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Enum_2Enum,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Erealax_2Ereal,axiom,
! [V0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,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_2Erealax_2Ereal,axiom,
! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Enum_2Enum] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > $o,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29_2Ctyop_2Enum_2Enum_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(thm_2Epoly_2Epoly__def,axiom,
( ! [V0x: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal @ V0x )
= ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) )
& ! [V1h: mono_2Etyop_2Erealax_2Ereal,V2t: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V3x: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V1h @ V2t ) @ V3x )
= ( mono_2Ec_2Erealax_2Ereal__add @ V1h @ ( mono_2Ec_2Erealax_2Ereal__mul @ V3x @ ( mono_2Ec_2Epoly_2Epoly @ V2t @ V3x ) ) ) ) ) ).
thf(thm_2Epoly_2Epoly__add__def,axiom,
! [F0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o] :
( ! [V3l2: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( F0 @ V3l2 )
<=> ( V3l2 = mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) )
=> ( ! [V0l2: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Epoly_2Epoly__add @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal @ V0l2 )
= V0l2 )
& ! [V1h: mono_2Etyop_2Erealax_2Ereal,V2t: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V3l2: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Epoly_2Epoly__add @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V1h @ V2t ) @ V3l2 )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ ( F0 @ V3l2 ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V1h @ V2t ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__add @ V1h @ ( mono_2Ec_2Elist_2EHD_2Emono_2Etyop_2Erealax_2Ereal @ V3l2 ) ) @ ( mono_2Ec_2Epoly_2Epoly__add @ V2t @ ( mono_2Ec_2Elist_2ETL_2Emono_2Etyop_2Erealax_2Ereal @ V3l2 ) ) ) ) ) ) ) ).
thf(thm_2Epoly_2Epoly__cmul__def,axiom,
( ! [V0c: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Epoly_2E_23_23 @ V0c @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal )
= mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal )
& ! [V1c: mono_2Etyop_2Erealax_2Ereal,V2h: mono_2Etyop_2Erealax_2Ereal,V3t: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Epoly_2E_23_23 @ V1c @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V2h @ V3t ) )
= ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__mul @ V1c @ V2h ) @ ( mono_2Ec_2Epoly_2E_23_23 @ V1c @ V3t ) ) ) ) ).
thf(thm_2Epoly_2Epoly__neg__def,axiom,
( mono_2Ec_2Epoly_2Epoly__neg
= ( mono_2Ec_2Epoly_2E_23_23 @ ( mono_2Ec_2Erealax_2Ereal__neg @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ) ).
thf(thm_2Epoly_2Epoly__mul__def,axiom,
! [F0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o] :
( ! [V2t: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( F0 @ V2t )
<=> ( V2t = mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) )
=> ( ! [V0l2: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Epoly_2Epoly__mul @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal @ V0l2 )
= mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal )
& ! [V1h: mono_2Etyop_2Erealax_2Ereal,V2t: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V3l2: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Epoly_2Epoly__mul @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V1h @ V2t ) @ V3l2 )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ ( F0 @ V2t ) @ ( mono_2Ec_2Epoly_2E_23_23 @ V1h @ V3l2 ) @ ( mono_2Ec_2Epoly_2Epoly__add @ ( mono_2Ec_2Epoly_2E_23_23 @ V1h @ V3l2 ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Epoly_2Epoly__mul @ V2t @ V3l2 ) ) ) ) ) ) ) ).
thf(thm_2Epoly_2Epoly__exp__def,axiom,
( ! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Epoly_2Epoly__exp @ V0p @ mono_2Ec_2Enum_2E0 )
= ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) )
& ! [V1p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Epoly_2Epoly__exp @ V1p @ ( mono_2Ec_2Enum_2ESUC @ V2n ) )
= ( mono_2Ec_2Epoly_2Epoly__mul @ V1p @ ( mono_2Ec_2Epoly_2Epoly__exp @ V1p @ V2n ) ) ) ) ).
thf(thm_2Epoly_2Epoly__diff__aux__def,axiom,
( ! [V0n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Epoly_2Epoly__diff__aux @ V0n @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal )
= mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal )
& ! [V1n: mono_2Etyop_2Enum_2Enum,V2h: mono_2Etyop_2Erealax_2Ereal,V3t: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Epoly_2Epoly__diff__aux @ V1n @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V2h @ V3t ) )
= ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__mul @ ( mono_2Ec_2Ereal_2Ereal__of__num @ V1n ) @ V2h ) @ ( mono_2Ec_2Epoly_2Epoly__diff__aux @ ( mono_2Ec_2Enum_2ESUC @ V1n ) @ V3t ) ) ) ) ).
thf(thm_2Epoly_2Epoly__diff__def,axiom,
! [F0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o] :
( ! [V0l: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( F0 @ V0l )
<=> ( V0l = mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) )
=> ! [V0l: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Epoly_2Ediff @ V0l )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ ( F0 @ V0l ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Epoly_2Epoly__diff__aux @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ ( mono_2Ec_2Elist_2ETL_2Emono_2Etyop_2Erealax_2Ereal @ V0l ) ) ) ) ) ).
thf(thm_2Epoly_2Epoly__divides,axiom,
! [V0p1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1p2: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Epoly_2Epoly__divides @ V0p1 @ V1p2 )
<=> ? [V2q: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Epoly_2Epoly @ V1p2 )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__mul @ V0p1 @ V2q ) ) ) ) ).
thf(thm_2Epoly_2Epoly__order,axiom,
! [F0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V0a: mono_2Etyop_2Erealax_2Ereal,V1p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2n: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V0a @ V1p @ V2n )
<=> ( ( mono_2Ec_2Epoly_2Epoly__divides @ ( mono_2Ec_2Epoly_2Epoly__exp @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__neg @ V0a ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ V2n ) @ V1p )
& ( (~) @ ( mono_2Ec_2Epoly_2Epoly__divides @ ( mono_2Ec_2Epoly_2Epoly__exp @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__neg @ V0a ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ ( mono_2Ec_2Enum_2ESUC @ V2n ) ) @ V1p ) ) ) )
=> ! [V0a: mono_2Etyop_2Erealax_2Ereal,V1p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Epoly_2Epoly__order @ V0a @ V1p )
= ( mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Enum_2Enum @ ( F0 @ V0a @ V1p ) ) ) ) ).
thf(thm_2Epoly_2Ersquarefree,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Epoly_2Ersquarefree @ V0p )
<=> ( ( (~)
@ ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) )
& ! [V1a: mono_2Etyop_2Erealax_2Ereal] :
( ( ( mono_2Ec_2Epoly_2Epoly__order @ V1a @ V0p )
= mono_2Ec_2Enum_2E0 )
| ( ( mono_2Ec_2Epoly_2Epoly__order @ V1a @ V0p )
= ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ) ).
thf(thm_2Epoly_2Enormalize,axiom,
! [F1: mono_2Etyop_2Erealax_2Ereal > $o,F0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o] :
( ! [V0h: mono_2Etyop_2Erealax_2Ereal] :
( ( F1 @ V0h )
<=> ( V0h
= ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) ) )
=> ( ! [V1t: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( F0 @ V1t )
<=> ( ( mono_2Ec_2Epoly_2Enormalize @ V1t )
= mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) )
=> ( ( ( mono_2Ec_2Epoly_2Enormalize @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal )
= mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal )
& ! [V0h: mono_2Etyop_2Erealax_2Ereal,V1t: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Epoly_2Enormalize @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V0h @ V1t ) )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ ( F0 @ V1t ) @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 @ ( F1 @ V0h ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V0h @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V0h @ ( mono_2Ec_2Epoly_2Enormalize @ V1t ) ) ) ) ) ) ) ).
thf(thm_2Epoly_2Edegree,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Epoly_2Edegree @ V0p )
= ( mono_2Ec_2Eprim__rec_2EPRE @ ( mono_2Ec_2Elist_2ELENGTH_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Epoly_2Enormalize @ V0p ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__ADD__CLAUSES,axiom,
! [V0t2: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1t1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2p2: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V3p1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V4h2: mono_2Etyop_2Erealax_2Ereal,V5h1: mono_2Etyop_2Erealax_2Ereal] :
( ( ( mono_2Ec_2Epoly_2Epoly__add @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal @ V2p2 )
= V2p2 )
& ( ( mono_2Ec_2Epoly_2Epoly__add @ V3p1 @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal )
= V3p1 )
& ( ( mono_2Ec_2Epoly_2Epoly__add @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V5h1 @ V1t1 ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V4h2 @ V0t2 ) )
= ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__add @ V5h1 @ V4h2 ) @ ( mono_2Ec_2Epoly_2Epoly__add @ V1t1 @ V0t2 ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__CMUL__CLAUSES,axiom,
! [V0t: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1h: mono_2Etyop_2Erealax_2Ereal,V2c: mono_2Etyop_2Erealax_2Ereal] :
( ( ( mono_2Ec_2Epoly_2E_23_23 @ V2c @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal )
= mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal )
& ( ( mono_2Ec_2Epoly_2E_23_23 @ V2c @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V1h @ V0t ) )
= ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__mul @ V2c @ V1h ) @ ( mono_2Ec_2Epoly_2E_23_23 @ V2c @ V0t ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__NEG__CLAUSES,axiom,
! [V0t: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1h: mono_2Etyop_2Erealax_2Ereal] :
( ( ( mono_2Ec_2Epoly_2Epoly__neg @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal )
= mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal )
& ( ( mono_2Ec_2Epoly_2Epoly__neg @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V1h @ V0t ) )
= ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__neg @ V1h ) @ ( mono_2Ec_2Epoly_2Epoly__neg @ V0t ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__MUL__CLAUSES,axiom,
! [V0t1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1p2: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2k1: mono_2Etyop_2Erealax_2Ereal,V3h1: mono_2Etyop_2Erealax_2Ereal] :
( ( ( mono_2Ec_2Epoly_2Epoly__mul @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal @ V1p2 )
= mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal )
& ( ( mono_2Ec_2Epoly_2Epoly__mul @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V3h1 @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) @ V1p2 )
= ( mono_2Ec_2Epoly_2E_23_23 @ V3h1 @ V1p2 ) )
& ( ( mono_2Ec_2Epoly_2Epoly__mul @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V3h1 @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V2k1 @ V0t1 ) ) @ V1p2 )
= ( mono_2Ec_2Epoly_2Epoly__add @ ( mono_2Ec_2Epoly_2E_23_23 @ V3h1 @ V1p2 ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Epoly_2Epoly__mul @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V2k1 @ V0t1 ) @ V1p2 ) ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__DIFF__CLAUSES,axiom,
! [V0t: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1h: mono_2Etyop_2Erealax_2Ereal,V2c: mono_2Etyop_2Erealax_2Ereal] :
( ( ( mono_2Ec_2Epoly_2Ediff @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal )
= mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal )
& ( ( mono_2Ec_2Epoly_2Ediff @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V2c @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) )
= mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal )
& ( ( mono_2Ec_2Epoly_2Ediff @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V1h @ V0t ) )
= ( mono_2Ec_2Epoly_2Epoly__diff__aux @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ V0t ) ) ) ).
thf(thm_2Epoly_2EPOLY__ADD,axiom,
! [V0p1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1p2: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2x: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__add @ V0p1 @ V1p2 ) @ V2x )
= ( mono_2Ec_2Erealax_2Ereal__add @ ( mono_2Ec_2Epoly_2Epoly @ V0p1 @ V2x ) @ ( mono_2Ec_2Epoly_2Epoly @ V1p2 @ V2x ) ) ) ).
thf(thm_2Epoly_2EPOLY__CMUL,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1c: mono_2Etyop_2Erealax_2Ereal,V2x: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2E_23_23 @ V1c @ V0p ) @ V2x )
= ( mono_2Ec_2Erealax_2Ereal__mul @ V1c @ ( mono_2Ec_2Epoly_2Epoly @ V0p @ V2x ) ) ) ).
thf(thm_2Epoly_2EPOLY__NEG,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1x: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__neg @ V0p ) @ V1x )
= ( mono_2Ec_2Erealax_2Ereal__neg @ ( mono_2Ec_2Epoly_2Epoly @ V0p @ V1x ) ) ) ).
thf(thm_2Epoly_2EPOLY__MUL,axiom,
! [V0x: mono_2Etyop_2Erealax_2Ereal,V1p1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2p2: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__mul @ V1p1 @ V2p2 ) @ V0x )
= ( mono_2Ec_2Erealax_2Ereal__mul @ ( mono_2Ec_2Epoly_2Epoly @ V1p1 @ V0x ) @ ( mono_2Ec_2Epoly_2Epoly @ V2p2 @ V0x ) ) ) ).
thf(thm_2Epoly_2EPOLY__EXP,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1n: mono_2Etyop_2Enum_2Enum,V2x: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__exp @ V0p @ V1n ) @ V2x )
= ( mono_2Ec_2Ereal_2Epow @ ( mono_2Ec_2Epoly_2Epoly @ V0p @ V2x ) @ V1n ) ) ).
thf(thm_2Epoly_2EPOLY__DIFF__LEMMA,axiom,
! [F0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal] :
( ! [V1n: mono_2Etyop_2Enum_2Enum,V0l: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V3x: mono_2Etyop_2Erealax_2Ereal] :
( ( F0 @ V1n @ V0l @ V3x )
= ( mono_2Ec_2Erealax_2Ereal__mul @ ( mono_2Ec_2Ereal_2Epow @ V3x @ ( mono_2Ec_2Enum_2ESUC @ V1n ) ) @ ( mono_2Ec_2Epoly_2Epoly @ V0l @ V3x ) ) )
=> ! [V0l: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1n: mono_2Etyop_2Enum_2Enum,V2x: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Elim_2Ediffl @ ( F0 @ V1n @ V0l ) @ ( mono_2Ec_2Erealax_2Ereal__mul @ ( mono_2Ec_2Ereal_2Epow @ V2x @ V1n ) @ ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__diff__aux @ ( mono_2Ec_2Enum_2ESUC @ V1n ) @ V0l ) @ V2x ) ) @ V2x ) ) ).
thf(thm_2Epoly_2EPOLY__DIFF,axiom,
! [F0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal] :
( ! [V0l: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2x: mono_2Etyop_2Erealax_2Ereal] :
( ( F0 @ V0l @ V2x )
= ( mono_2Ec_2Epoly_2Epoly @ V0l @ V2x ) )
=> ! [V0l: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1x: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Elim_2Ediffl @ ( F0 @ V0l ) @ ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Ediff @ V0l ) @ V1x ) @ V1x ) ) ).
thf(thm_2Epoly_2EPOLY__DIFFERENTIABLE,axiom,
! [F0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal] :
( ! [V0l: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2x: mono_2Etyop_2Erealax_2Ereal] :
( ( F0 @ V0l @ V2x )
= ( mono_2Ec_2Epoly_2Epoly @ V0l @ V2x ) )
=> ! [V0l: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1x: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Elim_2Edifferentiable @ ( F0 @ V0l ) @ V1x ) ) ).
thf(thm_2Epoly_2EPOLY__CONT,axiom,
! [F0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal] :
( ! [V0l: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2x: mono_2Etyop_2Erealax_2Ereal] :
( ( F0 @ V0l @ V2x )
= ( mono_2Ec_2Epoly_2Epoly @ V0l @ V2x ) )
=> ! [V0l: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1x: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Elim_2Econtl @ ( F0 @ V0l ) @ V1x ) ) ).
thf(thm_2Epoly_2EPOLY__IVT__POS,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1a: mono_2Etyop_2Erealax_2Ereal,V2b: mono_2Etyop_2Erealax_2Ereal] :
( ( ( mono_2Ec_2Erealax_2Ereal__lt @ V1a @ V2b )
& ( mono_2Ec_2Erealax_2Ereal__lt @ ( mono_2Ec_2Epoly_2Epoly @ V0p @ V1a ) @ ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) )
& ( mono_2Ec_2Ereal_2Ereal__gt @ ( mono_2Ec_2Epoly_2Epoly @ V0p @ V2b ) @ ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) ) )
=> ? [V3x: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Erealax_2Ereal__lt @ V1a @ V3x )
& ( mono_2Ec_2Erealax_2Ereal__lt @ V3x @ V2b )
& ( ( mono_2Ec_2Epoly_2Epoly @ V0p @ V3x )
= ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__IVT__NEG,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1a: mono_2Etyop_2Erealax_2Ereal,V2b: mono_2Etyop_2Erealax_2Ereal] :
( ( ( mono_2Ec_2Erealax_2Ereal__lt @ V1a @ V2b )
& ( mono_2Ec_2Ereal_2Ereal__gt @ ( mono_2Ec_2Epoly_2Epoly @ V0p @ V1a ) @ ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) )
& ( mono_2Ec_2Erealax_2Ereal__lt @ ( mono_2Ec_2Epoly_2Epoly @ V0p @ V2b ) @ ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) ) )
=> ? [V3x: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Erealax_2Ereal__lt @ V1a @ V3x )
& ( mono_2Ec_2Erealax_2Ereal__lt @ V3x @ V2b )
& ( ( mono_2Ec_2Epoly_2Epoly @ V0p @ V3x )
= ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__MVT,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1a: mono_2Etyop_2Erealax_2Ereal,V2b: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Erealax_2Ereal__lt @ V1a @ V2b )
=> ? [V3x: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Erealax_2Ereal__lt @ V1a @ V3x )
& ( mono_2Ec_2Erealax_2Ereal__lt @ V3x @ V2b )
& ( ( mono_2Ec_2Ereal_2Ereal__sub @ ( mono_2Ec_2Epoly_2Epoly @ V0p @ V2b ) @ ( mono_2Ec_2Epoly_2Epoly @ V0p @ V1a ) )
= ( mono_2Ec_2Erealax_2Ereal__mul @ ( mono_2Ec_2Ereal_2Ereal__sub @ V2b @ V1a ) @ ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Ediff @ V0p ) @ V3x ) ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__ADD__RZERO,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__add @ V0p @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) )
= ( mono_2Ec_2Epoly_2Epoly @ V0p ) ) ).
thf(thm_2Epoly_2EPOLY__MUL__ASSOC,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1q: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2r: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__mul @ V0p @ ( mono_2Ec_2Epoly_2Epoly__mul @ V1q @ V2r ) ) )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__mul @ ( mono_2Ec_2Epoly_2Epoly__mul @ V0p @ V1q ) @ V2r ) ) ) ).
thf(thm_2Epoly_2EPOLY__EXP__ADD,axiom,
! [V0d: mono_2Etyop_2Enum_2Enum,V1n: mono_2Etyop_2Enum_2Enum,V2p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__exp @ V2p @ ( mono_2Ec_2Earithmetic_2E_2B @ V1n @ V0d ) ) )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__mul @ ( mono_2Ec_2Epoly_2Epoly__exp @ V2p @ V1n ) @ ( mono_2Ec_2Epoly_2Epoly__exp @ V2p @ V0d ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__DIFF__AUX__ADD,axiom,
! [V0p1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1p2: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__diff__aux @ V2n @ ( mono_2Ec_2Epoly_2Epoly__add @ V0p1 @ V1p2 ) ) )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__add @ ( mono_2Ec_2Epoly_2Epoly__diff__aux @ V2n @ V0p1 ) @ ( mono_2Ec_2Epoly_2Epoly__diff__aux @ V2n @ V1p2 ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__DIFF__AUX__CMUL,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1c: mono_2Etyop_2Erealax_2Ereal,V2n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__diff__aux @ V2n @ ( mono_2Ec_2Epoly_2E_23_23 @ V1c @ V0p ) ) )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2E_23_23 @ V1c @ ( mono_2Ec_2Epoly_2Epoly__diff__aux @ V2n @ V0p ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__DIFF__AUX__NEG,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__diff__aux @ V1n @ ( mono_2Ec_2Epoly_2Epoly__neg @ V0p ) ) )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__neg @ ( mono_2Ec_2Epoly_2Epoly__diff__aux @ V1n @ V0p ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__DIFF__AUX__MUL__LEMMA,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__diff__aux @ ( mono_2Ec_2Enum_2ESUC @ V1n ) @ V0p ) )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__add @ ( mono_2Ec_2Epoly_2Epoly__diff__aux @ V1n @ V0p ) @ V0p ) ) ) ).
thf(thm_2Epoly_2EPOLY__DIFF__ADD,axiom,
! [V0p1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1p2: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Ediff @ ( mono_2Ec_2Epoly_2Epoly__add @ V0p1 @ V1p2 ) ) )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__add @ ( mono_2Ec_2Epoly_2Ediff @ V0p1 ) @ ( mono_2Ec_2Epoly_2Ediff @ V1p2 ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__DIFF__CMUL,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1c: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Ediff @ ( mono_2Ec_2Epoly_2E_23_23 @ V1c @ V0p ) ) )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2E_23_23 @ V1c @ ( mono_2Ec_2Epoly_2Ediff @ V0p ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__DIFF__NEG,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Ediff @ ( mono_2Ec_2Epoly_2Epoly__neg @ V0p ) ) )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__neg @ ( mono_2Ec_2Epoly_2Ediff @ V0p ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__DIFF__MUL__LEMMA,axiom,
! [V0t: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1h: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Ediff @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V1h @ V0t ) ) )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__add @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Epoly_2Ediff @ V0t ) ) @ V0t ) ) ) ).
thf(thm_2Epoly_2EPOLY__DIFF__MUL,axiom,
! [V0p1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1p2: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Ediff @ ( mono_2Ec_2Epoly_2Epoly__mul @ V0p1 @ V1p2 ) ) )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__add @ ( mono_2Ec_2Epoly_2Epoly__mul @ V0p1 @ ( mono_2Ec_2Epoly_2Ediff @ V1p2 ) ) @ ( mono_2Ec_2Epoly_2Epoly__mul @ ( mono_2Ec_2Epoly_2Ediff @ V0p1 ) @ V1p2 ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__DIFF__EXP,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Ediff @ ( mono_2Ec_2Epoly_2Epoly__exp @ V0p @ ( mono_2Ec_2Enum_2ESUC @ V1n ) ) ) )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__mul @ ( mono_2Ec_2Epoly_2E_23_23 @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Enum_2ESUC @ V1n ) ) @ ( mono_2Ec_2Epoly_2Epoly__exp @ V0p @ V1n ) ) @ ( mono_2Ec_2Epoly_2Ediff @ V0p ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__DIFF__EXP__PRIME,axiom,
! [V0n: mono_2Etyop_2Enum_2Enum,V1a: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Ediff @ ( mono_2Ec_2Epoly_2Epoly__exp @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__neg @ V1a ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ ( mono_2Ec_2Enum_2ESUC @ V0n ) ) ) )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2E_23_23 @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Enum_2ESUC @ V0n ) ) @ ( mono_2Ec_2Epoly_2Epoly__exp @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__neg @ V1a ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ V0n ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__LINEAR__REM,axiom,
! [V0a: mono_2Etyop_2Erealax_2Ereal,V1t: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2h: mono_2Etyop_2Erealax_2Ereal] :
? [V3q: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V4r: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V2h @ V1t )
= ( mono_2Ec_2Epoly_2Epoly__add @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V4r @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) @ ( mono_2Ec_2Epoly_2Epoly__mul @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__neg @ V0a ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ V3q ) ) ) ).
thf(thm_2Epoly_2EPOLY__LINEAR__DIVIDES,axiom,
! [V0a: mono_2Etyop_2Erealax_2Ereal,V1p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( ( mono_2Ec_2Epoly_2Epoly @ V1p @ V0a )
= ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) )
<=> ( ( V1p = mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal )
| ? [V2q: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( V1p
= ( mono_2Ec_2Epoly_2Epoly__mul @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__neg @ V0a ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ V2q ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__LENGTH__MUL,axiom,
! [V0a: mono_2Etyop_2Erealax_2Ereal,V1q: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Elist_2ELENGTH_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Epoly_2Epoly__mul @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__neg @ V0a ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ V1q ) )
= ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Elist_2ELENGTH_2Emono_2Etyop_2Erealax_2Ereal @ V1q ) ) ) ).
thf(thm_2Epoly_2EPOLY__ROOTS__INDEX__LEMMA,axiom,
! [V0n: mono_2Etyop_2Enum_2Enum,V1p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( ( (~)
@ ( ( mono_2Ec_2Epoly_2Epoly @ V1p )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) )
& ( ( mono_2Ec_2Elist_2ELENGTH_2Emono_2Etyop_2Erealax_2Ereal @ V1p )
= V0n ) )
=> ? [V2i: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal] :
! [V3x: mono_2Etyop_2Erealax_2Ereal] :
( ( ( mono_2Ec_2Epoly_2Epoly @ V1p @ V3x )
= ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) )
=> ? [V4m: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V4m @ V0n )
& ( V3x
= ( V2i @ V4m ) ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__ROOTS__INDEX__LENGTH,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( (~)
@ ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) )
=> ? [V1i: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal] :
! [V2x: mono_2Etyop_2Erealax_2Ereal] :
( ( ( mono_2Ec_2Epoly_2Epoly @ V0p @ V2x )
= ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) )
=> ? [V3n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V3n @ ( mono_2Ec_2Elist_2ELENGTH_2Emono_2Etyop_2Erealax_2Ereal @ V0p ) )
& ( V2x
= ( V1i @ V3n ) ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__ROOTS__FINITE__LEMMA,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( (~)
@ ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) )
=> ? [V1N: mono_2Etyop_2Enum_2Enum,V2i: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal] :
! [V3x: mono_2Etyop_2Erealax_2Ereal] :
( ( ( mono_2Ec_2Epoly_2Epoly @ V0p @ V3x )
= ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) )
=> ? [V4n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Eprim__rec_2E_3C @ V4n @ V1N )
& ( V3x
= ( V2i @ V4n ) ) ) ) ) ).
thf(thm_2Epoly_2EFINITE__LEMMA,axiom,
! [V0i: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal,V1N: mono_2Etyop_2Enum_2Enum,V2P: mono_2Etyop_2Erealax_2Ereal > $o] :
( ! [V3x: mono_2Etyop_2Erealax_2Ereal] :
( ( V2P @ V3x )
=> ? [V4n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Eprim__rec_2E_3C @ V4n @ V1N )
& ( V3x
= ( V0i @ V4n ) ) ) )
=> ? [V5a: mono_2Etyop_2Erealax_2Ereal] :
! [V6x: mono_2Etyop_2Erealax_2Ereal] :
( ( V2P @ V6x )
=> ( mono_2Ec_2Erealax_2Ereal__lt @ V6x @ V5a ) ) ) ).
thf(thm_2Epoly_2EPOLY__ROOTS__FINITE,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( (~)
@ ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) )
<=> ? [V1N: mono_2Etyop_2Enum_2Enum,V2i: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal] :
! [V3x: mono_2Etyop_2Erealax_2Ereal] :
( ( ( mono_2Ec_2Epoly_2Epoly @ V0p @ V3x )
= ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) )
=> ? [V4n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Eprim__rec_2E_3C @ V4n @ V1N )
& ( V3x
= ( V2i @ V4n ) ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__ENTIRE__LEMMA,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1q: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( ( (~)
@ ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) )
& ( (~)
@ ( ( mono_2Ec_2Epoly_2Epoly @ V1q )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) ) )
=> ( (~)
@ ( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__mul @ V0p @ V1q ) )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__ENTIRE,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1q: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__mul @ V0p @ V1q ) )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) )
<=> ( ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) )
| ( ( mono_2Ec_2Epoly_2Epoly @ V1q )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__MUL__LCANCEL,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1q: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2r: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__mul @ V0p @ V1q ) )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__mul @ V0p @ V2r ) ) )
<=> ( ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) )
| ( ( mono_2Ec_2Epoly_2Epoly @ V1q )
= ( mono_2Ec_2Epoly_2Epoly @ V2r ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__EXP__EQ__0,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1n: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__exp @ V0p @ V1n ) )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) )
<=> ( ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) )
& ( (~) @ ( V1n = mono_2Ec_2Enum_2E0 ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__PRIME__EQ__0,axiom,
! [V0a: mono_2Etyop_2Erealax_2Ereal] :
( (~)
@ ( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V0a @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) ) ).
thf(thm_2Epoly_2EPOLY__EXP__PRIME__EQ__0,axiom,
! [V0a: mono_2Etyop_2Erealax_2Ereal,V1n: mono_2Etyop_2Enum_2Enum] :
( (~)
@ ( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__exp @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V0a @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ V1n ) )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) ) ).
thf(thm_2Epoly_2EPOLY__ZERO__LEMMA,axiom,
! [V0h: mono_2Etyop_2Erealax_2Ereal,V1t: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V0h @ V1t ) )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) )
=> ( ( V0h
= ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) )
& ( ( mono_2Ec_2Epoly_2Epoly @ V1t )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__ZERO,axiom,
! [F0: mono_2Etyop_2Erealax_2Ereal > $o] :
( ! [V1c: mono_2Etyop_2Erealax_2Ereal] :
( ( F0 @ V1c )
<=> ( V1c
= ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) ) )
=> ! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) )
<=> ( mono_2Ec_2Elist_2EEVERY_2Emono_2Etyop_2Erealax_2Ereal @ F0 @ V0p ) ) ) ).
thf(thm_2Epoly_2EPOLY__DIFF__AUX__ISZERO,axiom,
! [F1: mono_2Etyop_2Erealax_2Ereal > $o,F0: mono_2Etyop_2Erealax_2Ereal > $o] :
( ! [V3c: mono_2Etyop_2Erealax_2Ereal] :
( ( F1 @ V3c )
<=> ( V3c
= ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) ) )
=> ( ! [V2c: mono_2Etyop_2Erealax_2Ereal] :
( ( F0 @ V2c )
<=> ( V2c
= ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) ) )
=> ! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Elist_2EEVERY_2Emono_2Etyop_2Erealax_2Ereal @ F0 @ ( mono_2Ec_2Epoly_2Epoly__diff__aux @ ( mono_2Ec_2Enum_2ESUC @ V1n ) @ V0p ) )
= ( mono_2Ec_2Elist_2EEVERY_2Emono_2Etyop_2Erealax_2Ereal @ F1 @ V0p ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__DIFF__ISZERO,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Ediff @ V0p ) )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) )
=> ? [V1h: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V1h @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__DIFF__ZERO,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) )
=> ( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Ediff @ V0p ) )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) ) ).
thf(thm_2Epoly_2EPOLY__DIFF__WELLDEF,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1q: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ V1q ) )
=> ( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Ediff @ V0p ) )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Ediff @ V1q ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__PRIMES,axiom,
! [V0a: mono_2Etyop_2Erealax_2Ereal,V1p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2q: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Epoly_2Epoly__divides @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V0a @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ ( mono_2Ec_2Epoly_2Epoly__mul @ V1p @ V2q ) )
<=> ( ( mono_2Ec_2Epoly_2Epoly__divides @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V0a @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ V1p )
| ( mono_2Ec_2Epoly_2Epoly__divides @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ V0a @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ V2q ) ) ) ).
thf(thm_2Epoly_2EPOLY__DIVIDES__REFL,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] : ( mono_2Ec_2Epoly_2Epoly__divides @ V0p @ V0p ) ).
thf(thm_2Epoly_2EPOLY__DIVIDES__TRANS,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1q: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2r: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( ( mono_2Ec_2Epoly_2Epoly__divides @ V0p @ V1q )
& ( mono_2Ec_2Epoly_2Epoly__divides @ V1q @ V2r ) )
=> ( mono_2Ec_2Epoly_2Epoly__divides @ V0p @ V2r ) ) ).
thf(thm_2Epoly_2EPOLY__DIVIDES__EXP,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1m: mono_2Etyop_2Enum_2Enum,V2n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V1m @ V2n )
=> ( mono_2Ec_2Epoly_2Epoly__divides @ ( mono_2Ec_2Epoly_2Epoly__exp @ V0p @ V1m ) @ ( mono_2Ec_2Epoly_2Epoly__exp @ V0p @ V2n ) ) ) ).
thf(thm_2Epoly_2EPOLY__EXP__DIVIDES,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1q: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2m: mono_2Etyop_2Enum_2Enum,V3n: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Epoly_2Epoly__divides @ ( mono_2Ec_2Epoly_2Epoly__exp @ V0p @ V3n ) @ V1q )
& ( mono_2Ec_2Earithmetic_2E_3C_3D @ V2m @ V3n ) )
=> ( mono_2Ec_2Epoly_2Epoly__divides @ ( mono_2Ec_2Epoly_2Epoly__exp @ V0p @ V2m ) @ V1q ) ) ).
thf(thm_2Epoly_2EPOLY__DIVIDES__ADD,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1q: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2r: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( ( mono_2Ec_2Epoly_2Epoly__divides @ V0p @ V1q )
& ( mono_2Ec_2Epoly_2Epoly__divides @ V0p @ V2r ) )
=> ( mono_2Ec_2Epoly_2Epoly__divides @ V0p @ ( mono_2Ec_2Epoly_2Epoly__add @ V1q @ V2r ) ) ) ).
thf(thm_2Epoly_2EPOLY__DIVIDES__SUB,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1q: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2r: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( ( mono_2Ec_2Epoly_2Epoly__divides @ V0p @ V1q )
& ( mono_2Ec_2Epoly_2Epoly__divides @ V0p @ ( mono_2Ec_2Epoly_2Epoly__add @ V1q @ V2r ) ) )
=> ( mono_2Ec_2Epoly_2Epoly__divides @ V0p @ V2r ) ) ).
thf(thm_2Epoly_2EPOLY__DIVIDES__SUB2,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1q: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2r: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( ( mono_2Ec_2Epoly_2Epoly__divides @ V0p @ V2r )
& ( mono_2Ec_2Epoly_2Epoly__divides @ V0p @ ( mono_2Ec_2Epoly_2Epoly__add @ V1q @ V2r ) ) )
=> ( mono_2Ec_2Epoly_2Epoly__divides @ V0p @ V1q ) ) ).
thf(thm_2Epoly_2EPOLY__DIVIDES__ZERO,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1q: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) )
=> ( mono_2Ec_2Epoly_2Epoly__divides @ V1q @ V0p ) ) ).
thf(thm_2Epoly_2EPOLY__ORDER__EXISTS,axiom,
! [V0a: mono_2Etyop_2Erealax_2Ereal,V1d: mono_2Etyop_2Enum_2Enum,V2p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( ( ( mono_2Ec_2Elist_2ELENGTH_2Emono_2Etyop_2Erealax_2Ereal @ V2p )
= V1d )
& ( (~)
@ ( ( mono_2Ec_2Epoly_2Epoly @ V2p )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) ) )
=> ? [V3n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Epoly_2Epoly__divides @ ( mono_2Ec_2Epoly_2Epoly__exp @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__neg @ V0a ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ V3n ) @ V2p )
& ( (~) @ ( mono_2Ec_2Epoly_2Epoly__divides @ ( mono_2Ec_2Epoly_2Epoly__exp @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__neg @ V0a ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ ( mono_2Ec_2Enum_2ESUC @ V3n ) ) @ V2p ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__ORDER,axiom,
! [F0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Enum_2Enum > $o] :
( ! [V1a: mono_2Etyop_2Erealax_2Ereal,V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2n: mono_2Etyop_2Enum_2Enum] :
( ( F0 @ V1a @ V0p @ V2n )
<=> ( ( mono_2Ec_2Epoly_2Epoly__divides @ ( mono_2Ec_2Epoly_2Epoly__exp @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__neg @ V1a ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ V2n ) @ V0p )
& ( (~) @ ( mono_2Ec_2Epoly_2Epoly__divides @ ( mono_2Ec_2Epoly_2Epoly__exp @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__neg @ V1a ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ ( mono_2Ec_2Enum_2ESUC @ V2n ) ) @ V0p ) ) ) )
=> ! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1a: mono_2Etyop_2Erealax_2Ereal] :
( ( (~)
@ ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) )
=> ( mono_2Ec_2Ebool_2E_3F_21_2Emono_2Etyop_2Enum_2Enum @ ( F0 @ V1a @ V0p ) ) ) ) ).
thf(thm_2Epoly_2EORDER,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1a: mono_2Etyop_2Erealax_2Ereal,V2n: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Epoly_2Epoly__divides @ ( mono_2Ec_2Epoly_2Epoly__exp @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__neg @ V1a ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ V2n ) @ V0p )
& ( (~) @ ( mono_2Ec_2Epoly_2Epoly__divides @ ( mono_2Ec_2Epoly_2Epoly__exp @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__neg @ V1a ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ ( mono_2Ec_2Enum_2ESUC @ V2n ) ) @ V0p ) ) )
<=> ( ( V2n
= ( mono_2Ec_2Epoly_2Epoly__order @ V1a @ V0p ) )
& ( (~)
@ ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) ) ) ) ).
thf(thm_2Epoly_2EORDER__THM,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1a: mono_2Etyop_2Erealax_2Ereal] :
( ( (~)
@ ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) )
=> ( ( mono_2Ec_2Epoly_2Epoly__divides @ ( mono_2Ec_2Epoly_2Epoly__exp @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__neg @ V1a ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ ( mono_2Ec_2Epoly_2Epoly__order @ V1a @ V0p ) ) @ V0p )
& ( (~) @ ( mono_2Ec_2Epoly_2Epoly__divides @ ( mono_2Ec_2Epoly_2Epoly__exp @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__neg @ V1a ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Epoly_2Epoly__order @ V1a @ V0p ) ) ) @ V0p ) ) ) ) ).
thf(thm_2Epoly_2EORDER__UNIQUE,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1a: mono_2Etyop_2Erealax_2Ereal,V2n: mono_2Etyop_2Enum_2Enum] :
( ( ( (~)
@ ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) )
& ( mono_2Ec_2Epoly_2Epoly__divides @ ( mono_2Ec_2Epoly_2Epoly__exp @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__neg @ V1a ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ V2n ) @ V0p )
& ( (~) @ ( mono_2Ec_2Epoly_2Epoly__divides @ ( mono_2Ec_2Epoly_2Epoly__exp @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__neg @ V1a ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ ( mono_2Ec_2Enum_2ESUC @ V2n ) ) @ V0p ) ) )
=> ( V2n
= ( mono_2Ec_2Epoly_2Epoly__order @ V1a @ V0p ) ) ) ).
thf(thm_2Epoly_2EORDER__POLY,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1q: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2a: mono_2Etyop_2Erealax_2Ereal] :
( ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ V1q ) )
=> ( ( mono_2Ec_2Epoly_2Epoly__order @ V2a @ V0p )
= ( mono_2Ec_2Epoly_2Epoly__order @ V2a @ V1q ) ) ) ).
thf(thm_2Epoly_2EORDER__ROOT,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1a: mono_2Etyop_2Erealax_2Ereal] :
( ( ( mono_2Ec_2Epoly_2Epoly @ V0p @ V1a )
= ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) )
<=> ( ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) )
| ( (~)
@ ( ( mono_2Ec_2Epoly_2Epoly__order @ V1a @ V0p )
= mono_2Ec_2Enum_2E0 ) ) ) ) ).
thf(thm_2Epoly_2EORDER__DIVIDES,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1a: mono_2Etyop_2Erealax_2Ereal,V2n: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Epoly_2Epoly__divides @ ( mono_2Ec_2Epoly_2Epoly__exp @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__neg @ V1a ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ V2n ) @ V0p )
<=> ( ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) )
| ( mono_2Ec_2Earithmetic_2E_3C_3D @ V2n @ ( mono_2Ec_2Epoly_2Epoly__order @ V1a @ V0p ) ) ) ) ).
thf(thm_2Epoly_2EORDER__DECOMP,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1a: mono_2Etyop_2Erealax_2Ereal] :
( ( (~)
@ ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) )
=> ? [V2q: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__mul @ ( mono_2Ec_2Epoly_2Epoly__exp @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__neg @ V1a ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ ( mono_2Ec_2Epoly_2Epoly__order @ V1a @ V0p ) ) @ V2q ) ) )
& ( (~) @ ( mono_2Ec_2Epoly_2Epoly__divides @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__neg @ V1a ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ V2q ) ) ) ) ).
thf(thm_2Epoly_2EORDER__MUL,axiom,
! [V0a: mono_2Etyop_2Erealax_2Ereal,V1p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2q: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( (~)
@ ( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__mul @ V1p @ V2q ) )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) )
=> ( ( mono_2Ec_2Epoly_2Epoly__order @ V0a @ ( mono_2Ec_2Epoly_2Epoly__mul @ V1p @ V2q ) )
= ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Epoly_2Epoly__order @ V0a @ V1p ) @ ( mono_2Ec_2Epoly_2Epoly__order @ V0a @ V2q ) ) ) ) ).
thf(thm_2Epoly_2EORDER__DIFF,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1a: mono_2Etyop_2Erealax_2Ereal] :
( ( ( (~)
@ ( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Ediff @ V0p ) )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) )
& ( (~)
@ ( ( mono_2Ec_2Epoly_2Epoly__order @ V1a @ V0p )
= mono_2Ec_2Enum_2E0 ) ) )
=> ( ( mono_2Ec_2Epoly_2Epoly__order @ V1a @ V0p )
= ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Epoly_2Epoly__order @ V1a @ ( mono_2Ec_2Epoly_2Ediff @ V0p ) ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__SQUAREFREE__DECOMP__ORDER,axiom,
! [F0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > $o] :
( ! [V6a: mono_2Etyop_2Erealax_2Ereal,V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( F0 @ V6a @ V0p )
<=> ( ( mono_2Ec_2Epoly_2Epoly__order @ V6a @ V0p )
= mono_2Ec_2Enum_2E0 ) )
=> ! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1q: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2d: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V3e: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V4r: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V5s: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( ( (~)
@ ( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Ediff @ V0p ) )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) )
& ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__mul @ V1q @ V2d ) ) )
& ( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Ediff @ V0p ) )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__mul @ V3e @ V2d ) ) )
& ( ( mono_2Ec_2Epoly_2Epoly @ V2d )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__add @ ( mono_2Ec_2Epoly_2Epoly__mul @ V4r @ V0p ) @ ( mono_2Ec_2Epoly_2Epoly__mul @ V5s @ ( mono_2Ec_2Epoly_2Ediff @ V0p ) ) ) ) ) )
=> ! [V6a: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Epoly_2Epoly__order @ V6a @ V1q )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ ( F0 @ V6a @ V0p ) @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ) ).
thf(thm_2Epoly_2ERSQUAREFREE__ROOTS,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Epoly_2Ersquarefree @ V0p )
<=> ! [V1a: mono_2Etyop_2Erealax_2Ereal] :
( (~)
@ ( ( ( mono_2Ec_2Epoly_2Epoly @ V0p @ V1a )
= ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) )
& ( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Ediff @ V0p ) @ V1a )
= ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ) ).
thf(thm_2Epoly_2ERSQUAREFREE__DECOMP,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1a: mono_2Etyop_2Erealax_2Ereal] :
( ( ( mono_2Ec_2Epoly_2Ersquarefree @ V0p )
& ( ( mono_2Ec_2Epoly_2Epoly @ V0p @ V1a )
= ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) ) )
=> ? [V2q: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__mul @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Erealax_2Ereal__neg @ V1a ) @ ( mono_2Ec_2Elist_2ECONS_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) @ V2q ) ) )
& ( (~)
@ ( ( mono_2Ec_2Epoly_2Epoly @ V2q @ V1a )
= ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__SQUAREFREE__DECOMP,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1q: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V2d: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V3e: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V4r: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V5s: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( ( (~)
@ ( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Ediff @ V0p ) )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) )
& ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__mul @ V1q @ V2d ) ) )
& ( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Ediff @ V0p ) )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__mul @ V3e @ V2d ) ) )
& ( ( mono_2Ec_2Epoly_2Epoly @ V2d )
= ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Epoly__add @ ( mono_2Ec_2Epoly_2Epoly__mul @ V4r @ V0p ) @ ( mono_2Ec_2Epoly_2Epoly__mul @ V5s @ ( mono_2Ec_2Epoly_2Ediff @ V0p ) ) ) ) ) )
=> ( ( mono_2Ec_2Epoly_2Ersquarefree @ V1q )
& ! [V6a: mono_2Etyop_2Erealax_2Ereal] :
( ( ( mono_2Ec_2Epoly_2Epoly @ V1q @ V6a )
= ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) )
<=> ( ( mono_2Ec_2Epoly_2Epoly @ V0p @ V6a )
= ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__NORMALIZE,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Epoly_2Enormalize @ V0p ) )
= ( mono_2Ec_2Epoly_2Epoly @ V0p ) ) ).
thf(thm_2Epoly_2EDEGREE__ZERO,axiom,
! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) )
=> ( ( mono_2Ec_2Epoly_2Edegree @ V0p )
= mono_2Ec_2Enum_2E0 ) ) ).
thf(thm_2Epoly_2EPOLY__ROOTS__FINITE__SET,axiom,
! [F1: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > $o,F0: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29] :
( ! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1x: mono_2Etyop_2Erealax_2Ereal] :
( ( F1 @ V0p @ V1x )
<=> ( ( mono_2Ec_2Epoly_2Epoly @ V0p @ V1x )
= ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) ) )
=> ( ! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29,V1x: mono_2Etyop_2Erealax_2Ereal] :
( ( F0 @ V0p @ V1x )
= ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool @ V1x @ ( F1 @ V0p @ V1x ) ) )
=> ! [V0p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( (~)
@ ( ( mono_2Ec_2Epoly_2Epoly @ V0p )
= ( mono_2Ec_2Epoly_2Epoly @ mono_2Ec_2Elist_2ENIL_2Emono_2Etyop_2Erealax_2Ereal ) ) )
=> ( mono_2Ec_2Epred__set_2EFINITE_2Emono_2Etyop_2Erealax_2Ereal @ ( mono_2Ec_2Epred__set_2EGSPEC_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ ( F0 @ V0p ) ) ) ) ) ) ).
thf(thm_2Epoly_2EPOLY__MONO,axiom,
! [V0x: mono_2Etyop_2Erealax_2Ereal,V1k: mono_2Etyop_2Erealax_2Ereal,V2p: mono_2Etyop_2Elist_2Elist_28tyop_2Erealax_2Ereal_29] :
( ( mono_2Ec_2Ereal_2Ereal__lte @ ( mono_2Ec_2Ereal_2Eabs @ V0x ) @ V1k )
=> ( mono_2Ec_2Ereal_2Ereal__lte @ ( mono_2Ec_2Ereal_2Eabs @ ( mono_2Ec_2Epoly_2Epoly @ V2p @ V0x ) ) @ ( mono_2Ec_2Epoly_2Epoly @ ( mono_2Ec_2Elist_2EMAP_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @ mono_2Ec_2Ereal_2Eabs @ V2p ) @ V1k ) ) ) ).
%------------------------------------------------------------------------------