ITP001 Axioms: ITP113^4.ax
%------------------------------------------------------------------------------
% File : ITP113^4 : TPTP v9.0.0. 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 : realax.ax [Gau19]
% : HL4113^4.ax [TPAP]
% Status : Satisfiable
% Syntax : Number of formulae : 502 ( 204 unt; 244 typ; 0 def)
% Number of atoms : 409 ( 227 equ; 14 cnn)
% Maximal formula atoms : 4 ( 0 avg)
% Number of connectives : 3398 ( 14 ~; 5 |; 24 &;3298 @)
% ( 18 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg;3298 nst)
% Number of types : 7 ( 6 usr)
% Number of type conns : 758 ( 758 >; 0 *; 0 +; 0 <<)
% Number of symbols : 240 ( 238 usr; 57 con; 0-4 aty)
% Number of variables : 464 ( 0 ^ 449 !; 15 ?; 464 :)
% 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_2Ehreal_2Ehreal,type,
mono_2Etyop_2Ehreal_2Ehreal: $tType ).
thf(mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: $tType ).
thf(mono_2Etyop_2Erealax_2Ereal,type,
mono_2Etyop_2Erealax_2Ereal: $tType ).
thf(tyop_2Ehreal_2Ehreal,type,
tyop_2Ehreal_2Ehreal: d ).
thf(tyop_2Emin_2Ebool,type,
tyop_2Emin_2Ebool: d ).
thf(tyop_2Emin_2Efun,type,
tyop_2Emin_2Efun: d > d > 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_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_2Emin_2E_3D_2E0,type,
c_2Emin_2E_3D_2E0: u ).
thf(c_2Emin_2E_3D_2E2,type,
c_2Emin_2E_3D_2E2: du > du > u ).
thf(c_2Emin_2E_3D_3D_3E_2E0,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
thf(c_2Emin_2E_3D_3D_3E_2E2,type,
c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
thf(c_2Ebool_2E_3F_2E0,type,
c_2Ebool_2E_3F_2E0: u ).
thf(c_2Ebool_2E_3F_2E1,type,
c_2Ebool_2E_3F_2E1: du > u ).
thf(c_2Emin_2E_40_2E0,type,
c_2Emin_2E_40_2E0: u ).
thf(c_2Emin_2E_40_2E1,type,
c_2Emin_2E_40_2E1: du > u ).
thf(c_2Ebool_2ECOND_2E0,type,
c_2Ebool_2ECOND_2E0: u ).
thf(c_2Ebool_2ECOND_2E3,type,
c_2Ebool_2ECOND_2E3: du > du > du > u ).
thf(c_2Ebool_2EF_2E0,type,
c_2Ebool_2EF_2E0: u ).
thf(c_2Equotient_2EQUOTIENT_2E0,type,
c_2Equotient_2EQUOTIENT_2E0: u ).
thf(c_2Equotient_2EQUOTIENT_2E3,type,
c_2Equotient_2EQUOTIENT_2E3: du > du > du > u ).
thf(c_2Ebool_2ET_2E0,type,
c_2Ebool_2ET_2E0: u ).
thf(c_2Ebool_2ETYPE__DEFINITION_2E0,type,
c_2Ebool_2ETYPE__DEFINITION_2E0: u ).
thf(c_2Ebool_2ETYPE__DEFINITION_2E2,type,
c_2Ebool_2ETYPE__DEFINITION_2E2: du > du > u ).
thf(c_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_2Ehreal_2Ehreal__1_2E0,type,
c_2Ehreal_2Ehreal__1_2E0: u ).
thf(c_2Ehreal_2Ehreal__add_2E0,type,
c_2Ehreal_2Ehreal__add_2E0: u ).
thf(c_2Ehreal_2Ehreal__add_2E2,type,
c_2Ehreal_2Ehreal__add_2E2: du > du > u ).
thf(c_2Ehreal_2Ehreal__inv_2E0,type,
c_2Ehreal_2Ehreal__inv_2E0: u ).
thf(c_2Ehreal_2Ehreal__inv_2E1,type,
c_2Ehreal_2Ehreal__inv_2E1: du > u ).
thf(c_2Ehreal_2Ehreal__lt_2E0,type,
c_2Ehreal_2Ehreal__lt_2E0: u ).
thf(c_2Ehreal_2Ehreal__lt_2E2,type,
c_2Ehreal_2Ehreal__lt_2E2: du > du > u ).
thf(c_2Ehreal_2Ehreal__mul_2E0,type,
c_2Ehreal_2Ehreal__mul_2E0: u ).
thf(c_2Ehreal_2Ehreal__mul_2E2,type,
c_2Ehreal_2Ehreal__mul_2E2: du > du > u ).
thf(c_2Erealax_2Ehreal__of__real_2E0,type,
c_2Erealax_2Ehreal__of__real_2E0: u ).
thf(c_2Erealax_2Ehreal__of__real_2E1,type,
c_2Erealax_2Ehreal__of__real_2E1: du > u ).
thf(c_2Erealax_2Ehreal__of__treal_2E0,type,
c_2Erealax_2Ehreal__of__treal_2E0: u ).
thf(c_2Erealax_2Ehreal__of__treal_2E1,type,
c_2Erealax_2Ehreal__of__treal_2E1: du > u ).
thf(c_2Ehreal_2Ehreal__sub_2E0,type,
c_2Ehreal_2Ehreal__sub_2E0: u ).
thf(c_2Ehreal_2Ehreal__sub_2E2,type,
c_2Ehreal_2Ehreal__sub_2E2: du > du > u ).
thf(c_2Erealax_2Einv_2E0,type,
c_2Erealax_2Einv_2E0: u ).
thf(c_2Erealax_2Einv_2E1,type,
c_2Erealax_2Einv_2E1: du > u ).
thf(c_2Erealax_2Ereal__0_2E0,type,
c_2Erealax_2Ereal__0_2E0: u ).
thf(c_2Erealax_2Ereal__1_2E0,type,
c_2Erealax_2Ereal__1_2E0: u ).
thf(c_2Erealax_2Ereal__ABS_2E0,type,
c_2Erealax_2Ereal__ABS_2E0: u ).
thf(c_2Erealax_2Ereal__ABS_2E1,type,
c_2Erealax_2Ereal__ABS_2E1: du > u ).
thf(c_2Erealax_2Ereal__ABS__CLASS_2E0,type,
c_2Erealax_2Ereal__ABS__CLASS_2E0: u ).
thf(c_2Erealax_2Ereal__ABS__CLASS_2E1,type,
c_2Erealax_2Ereal__ABS__CLASS_2E1: du > u ).
thf(c_2Erealax_2Ereal__REP_2E0,type,
c_2Erealax_2Ereal__REP_2E0: u ).
thf(c_2Erealax_2Ereal__REP_2E1,type,
c_2Erealax_2Ereal__REP_2E1: du > u ).
thf(c_2Erealax_2Ereal__REP__CLASS_2E0,type,
c_2Erealax_2Ereal__REP__CLASS_2E0: u ).
thf(c_2Erealax_2Ereal__REP__CLASS_2E1,type,
c_2Erealax_2Ereal__REP__CLASS_2E1: 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_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_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_2Erealax_2Ereal__of__hreal_2E0,type,
c_2Erealax_2Ereal__of__hreal_2E0: u ).
thf(c_2Erealax_2Ereal__of__hreal_2E1,type,
c_2Erealax_2Ereal__of__hreal_2E1: du > u ).
thf(c_2Erealax_2Etreal__0_2E0,type,
c_2Erealax_2Etreal__0_2E0: u ).
thf(c_2Erealax_2Etreal__1_2E0,type,
c_2Erealax_2Etreal__1_2E0: u ).
thf(c_2Erealax_2Etreal__add_2E0,type,
c_2Erealax_2Etreal__add_2E0: u ).
thf(c_2Erealax_2Etreal__add_2E2,type,
c_2Erealax_2Etreal__add_2E2: du > du > u ).
thf(c_2Erealax_2Etreal__eq_2E0,type,
c_2Erealax_2Etreal__eq_2E0: u ).
thf(c_2Erealax_2Etreal__eq_2E1,type,
c_2Erealax_2Etreal__eq_2E1: du > u ).
thf(c_2Erealax_2Etreal__eq_2E2,type,
c_2Erealax_2Etreal__eq_2E2: du > du > u ).
thf(c_2Erealax_2Etreal__inv_2E0,type,
c_2Erealax_2Etreal__inv_2E0: u ).
thf(c_2Erealax_2Etreal__inv_2E1,type,
c_2Erealax_2Etreal__inv_2E1: du > u ).
thf(c_2Erealax_2Etreal__lt_2E0,type,
c_2Erealax_2Etreal__lt_2E0: u ).
thf(c_2Erealax_2Etreal__lt_2E2,type,
c_2Erealax_2Etreal__lt_2E2: du > du > u ).
thf(c_2Erealax_2Etreal__mul_2E0,type,
c_2Erealax_2Etreal__mul_2E0: u ).
thf(c_2Erealax_2Etreal__mul_2E2,type,
c_2Erealax_2Etreal__mul_2E2: du > du > u ).
thf(c_2Erealax_2Etreal__neg_2E0,type,
c_2Erealax_2Etreal__neg_2E0: u ).
thf(c_2Erealax_2Etreal__neg_2E1,type,
c_2Erealax_2Etreal__neg_2E1: du > u ).
thf(c_2Erealax_2Etreal__of__hreal_2E0,type,
c_2Erealax_2Etreal__of__hreal_2E0: u ).
thf(c_2Erealax_2Etreal__of__hreal_2E1,type,
c_2Erealax_2Etreal__of__hreal_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_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29: ( $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: ( ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o ) > ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal: ( ( mono_2Etyop_2Ehreal_2Ehreal > $o ) > mono_2Etyop_2Ehreal_2Ehreal ) > ( mono_2Etyop_2Ehreal_2Ehreal > $o ) > mono_2Etyop_2Ehreal_2Ehreal ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > mono_2Etyop_2Erealax_2Ereal ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > mono_2Etyop_2Erealax_2Ereal ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Erealax_2Ereal ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Erealax_2Ereal ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Erealax_2Ereal ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Erealax_2Ereal ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > $o ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Ehreal_2Ehreal > $o ) > mono_2Etyop_2Ehreal_2Ehreal > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > $o ) > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > $o ) > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
mono_2Eapp_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: ( mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal ).
thf(mono_2Eapp_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: ( mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal,type,
mono_2Eapp_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal: ( mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal ).
thf(mono_2Eapp_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
mono_2Eapp_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: ( mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Erealax_2Ereal,type,
mono_2Eapp_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Erealax_2Ereal ).
thf(mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ).
thf(mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Ehreal_2Ehreal,type,
mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Ehreal_2Ehreal: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Ehreal_2Ehreal ).
thf(mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
thf(mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal,type,
mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > 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_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ).
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_2Ehreal_2Ehreal,type,
mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Ehreal_2Ehreal: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Ehreal_2Ehreal ).
thf(mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_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_2Epair_2E_2C_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal,type,
mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
thf(mono_2Ec_2Ebool_2E_2F_5C,type,
mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(mono_2Ec_2Emin_2E_3D_3D_3E,type,
mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Ehreal_2Ehreal,type,
mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Ehreal_2Ehreal: ( mono_2Etyop_2Ehreal_2Ehreal > $o ) > mono_2Etyop_2Ehreal_2Ehreal ).
thf(mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
thf(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
thf(mono_2Ec_2Ebool_2EF,type,
mono_2Ec_2Ebool_2EF: $o ).
thf(mono_2Ec_2Equotient_2EQUOTIENT_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal,type,
mono_2Ec_2Equotient_2EQUOTIENT_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Erealax_2Ereal ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > $o ).
thf(mono_2Ec_2Ebool_2ET,type,
mono_2Ec_2Ebool_2ET: $o ).
thf(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal,type,
mono_2Ec_2Ebool_2ETYPE__DEFINITION_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o ).
thf(mono_2Ec_2Ebool_2E_5C_2F,type,
mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(mono_2Ec_2Ehreal_2Ehreal__1,type,
mono_2Ec_2Ehreal_2Ehreal__1: mono_2Etyop_2Ehreal_2Ehreal ).
thf(mono_2Ec_2Ehreal_2Ehreal__add,type,
mono_2Ec_2Ehreal_2Ehreal__add: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal ).
thf(mono_2Ec_2Ehreal_2Ehreal__inv,type,
mono_2Ec_2Ehreal_2Ehreal__inv: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal ).
thf(mono_2Ec_2Ehreal_2Ehreal__lt,type,
mono_2Ec_2Ehreal_2Ehreal__lt: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > $o ).
thf(mono_2Ec_2Ehreal_2Ehreal__mul,type,
mono_2Ec_2Ehreal_2Ehreal__mul: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal ).
thf(mono_2Ec_2Erealax_2Ehreal__of__real,type,
mono_2Ec_2Erealax_2Ehreal__of__real: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Ehreal_2Ehreal ).
thf(mono_2Ec_2Erealax_2Ehreal__of__treal,type,
mono_2Ec_2Erealax_2Ehreal__of__treal: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Ehreal_2Ehreal ).
thf(mono_2Ec_2Ehreal_2Ehreal__sub,type,
mono_2Ec_2Ehreal_2Ehreal__sub: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal ).
thf(mono_2Ec_2Erealax_2Einv,type,
mono_2Ec_2Erealax_2Einv: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).
thf(mono_2Ec_2Erealax_2Ereal__0,type,
mono_2Ec_2Erealax_2Ereal__0: mono_2Etyop_2Erealax_2Ereal ).
thf(mono_2Ec_2Erealax_2Ereal__1,type,
mono_2Ec_2Erealax_2Ereal__1: mono_2Etyop_2Erealax_2Ereal ).
thf(mono_2Ec_2Erealax_2Ereal__ABS,type,
mono_2Ec_2Erealax_2Ereal__ABS: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Erealax_2Ereal ).
thf(mono_2Ec_2Erealax_2Ereal__ABS__CLASS,type,
mono_2Ec_2Erealax_2Ereal__ABS__CLASS: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > mono_2Etyop_2Erealax_2Ereal ).
thf(mono_2Ec_2Erealax_2Ereal__REP,type,
mono_2Ec_2Erealax_2Ereal__REP: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
thf(mono_2Ec_2Erealax_2Ereal__REP__CLASS,type,
mono_2Ec_2Erealax_2Ereal__REP__CLASS: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ).
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_2Erealax_2Ereal__lt,type,
mono_2Ec_2Erealax_2Ereal__lt: 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_2Erealax_2Ereal__of__hreal,type,
mono_2Ec_2Erealax_2Ereal__of__hreal: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Erealax_2Ereal ).
thf(mono_2Ec_2Erealax_2Etreal__0,type,
mono_2Ec_2Erealax_2Etreal__0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
thf(mono_2Ec_2Erealax_2Etreal__1,type,
mono_2Ec_2Erealax_2Etreal__1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
thf(mono_2Ec_2Erealax_2Etreal__add,type,
mono_2Ec_2Erealax_2Etreal__add: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
thf(mono_2Ec_2Erealax_2Etreal__eq,type,
mono_2Ec_2Erealax_2Etreal__eq: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ).
thf(mono_2Ec_2Erealax_2Etreal__inv,type,
mono_2Ec_2Erealax_2Etreal__inv: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
thf(mono_2Ec_2Erealax_2Etreal__lt,type,
mono_2Ec_2Erealax_2Etreal__lt: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ).
thf(mono_2Ec_2Erealax_2Etreal__mul,type,
mono_2Ec_2Erealax_2Etreal__mul: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
thf(mono_2Ec_2Erealax_2Etreal__neg,type,
mono_2Ec_2Erealax_2Etreal__neg: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
thf(mono_2Ec_2Erealax_2Etreal__of__hreal,type,
mono_2Ec_2Erealax_2Etreal__of__hreal: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
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_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29: ( $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29: ( ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29: ( ( mono_2Etyop_2Ehreal_2Ehreal > $o ) > mono_2Etyop_2Ehreal_2Ehreal ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > mono_2Etyop_2Erealax_2Ereal ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Erealax_2Ereal ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Erealax_2Ereal ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Ehreal_2Ehreal > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29: ( mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: ( mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29: ( mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: ( mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: ( mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29: ( mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Erealax_2Ereal ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Ehreal_2Ehreal ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > 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_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > 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_2Ehreal_2Ehreal_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Ehreal_2Ehreal_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Ehreal_2Ehreal ) > u ).
thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_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_2Ehreal_2Ehreal,type,
i_mono_2Etyop_2Ehreal_2Ehreal: mono_2Etyop_2Ehreal_2Ehreal > u ).
thf(i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_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_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29: du > $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29: du > ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29: du > ( mono_2Etyop_2Ehreal_2Ehreal > $o ) > mono_2Etyop_2Ehreal_2Ehreal ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: du > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29: du > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > mono_2Etyop_2Erealax_2Ereal ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29: du > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Erealax_2Ereal ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Erealax_2Ereal ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Ehreal_2Ehreal > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29: du > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: du > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29: du > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: du > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: du > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29: du > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Erealax_2Ereal ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Ehreal_2Ehreal ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > 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_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ).
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_2Ehreal_2Ehreal_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Ehreal_2Ehreal_29: du > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Ehreal_2Ehreal ).
thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: du > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_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_2Ehreal_2Ehreal,type,
j_mono_2Etyop_2Ehreal_2Ehreal: du > mono_2Etyop_2Ehreal_2Ehreal ).
thf(j_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
j_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_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_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) @ tyop_2Ehreal_2Ehreal ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) @ tyop_2Ehreal_2Ehreal ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Erealax_2Ereal ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Erealax_2Ereal ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Ehreal_2Ehreal ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Ehreal_2Ehreal ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Erealax_2Ereal ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ 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_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ 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_2Ehreal_2Ehreal_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Ehreal_2Ehreal_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Ehreal_2Ehreal_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Ehreal_2Ehreal ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Ehreal_2Ehreal ) @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ 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_2Ehreal_2Ehreal,axiom,
! [V0_2E0: u] :
( ( s @ tyop_2Ehreal_2Ehreal @ ( i_mono_2Etyop_2Ehreal_2Ehreal @ ( j_mono_2Etyop_2Ehreal_2Ehreal @ ( s @ tyop_2Ehreal_2Ehreal @ V0_2E0 ) ) ) )
= ( s @ tyop_2Ehreal_2Ehreal @ V0_2E0 ) ) ).
thf(ij_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0_2E0: u] :
( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ ( j_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ V0_2E0 ) ) ) )
= ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ 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_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29,axiom,
! [V0: $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0: ( mono_2Etyop_2Ehreal_2Ehreal > $o ) > mono_2Etyop_2Ehreal_2Ehreal] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29,axiom,
! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > mono_2Etyop_2Erealax_2Ereal] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Erealax_2Ereal ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Erealax_2Ereal ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Erealax_2Ereal] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Ehreal_2Ehreal] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Erealax_2Ereal] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_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_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_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_2Ehreal_2Ehreal_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Ehreal_2Ehreal] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Ehreal_2Ehreal_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Ehreal_2Ehreal_29 @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_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_2Ehreal_2Ehreal,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal] :
( ( j_mono_2Etyop_2Ehreal_2Ehreal @ ( s @ tyop_2Ehreal_2Ehreal @ ( i_mono_2Etyop_2Ehreal_2Ehreal @ V0 ) ) )
= V0 ) ).
thf(ji_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( j_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_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_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,axiom,
! [V0: $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1: $o] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o,V1: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal,axiom,
! [V0: ( mono_2Etyop_2Ehreal_2Ehreal > $o ) > mono_2Etyop_2Ehreal_2Ehreal,V1: mono_2Etyop_2Ehreal_2Ehreal > $o] :
( ( s @ tyop_2Ehreal_2Ehreal @ ( i_mono_2Etyop_2Ehreal_2Ehreal @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Ehreal_2Ehreal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $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_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o] :
( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal,axiom,
! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o] :
( ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Erealax_2Ereal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Erealax_2Ereal ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Erealax_2Ereal ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Erealax_2Ereal] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o,V1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $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_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > $o,V1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > $o,V1: mono_2Etyop_2Ehreal_2Ehreal] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Ehreal_2Ehreal @ ( i_mono_2Etyop_2Ehreal_2Ehreal @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > $o,V1: mono_2Etyop_2Ehreal_2Ehreal] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Ehreal_2Ehreal @ ( i_mono_2Etyop_2Ehreal_2Ehreal @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > $o,V1: mono_2Etyop_2Ehreal_2Ehreal] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ tyop_2Ehreal_2Ehreal @ ( i_mono_2Etyop_2Ehreal_2Ehreal @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal,V1: mono_2Etyop_2Ehreal_2Ehreal] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ V0 ) ) @ ( s @ tyop_2Ehreal_2Ehreal @ ( i_mono_2Etyop_2Ehreal_2Ehreal @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1: mono_2Etyop_2Ehreal_2Ehreal] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29 @ V0 ) ) @ ( s @ tyop_2Ehreal_2Ehreal @ ( i_mono_2Etyop_2Ehreal_2Ehreal @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal,V1: mono_2Etyop_2Ehreal_2Ehreal] :
( ( s @ tyop_2Ehreal_2Ehreal @ ( i_mono_2Etyop_2Ehreal_2Ehreal @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Ehreal_2Ehreal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ V0 ) ) @ ( s @ tyop_2Ehreal_2Ehreal @ ( i_mono_2Etyop_2Ehreal_2Ehreal @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1: mono_2Etyop_2Ehreal_2Ehreal] :
( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ V0 ) ) @ ( s @ tyop_2Ehreal_2Ehreal @ ( i_mono_2Etyop_2Ehreal_2Ehreal @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Erealax_2Ereal,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Ehreal_2Ehreal] :
( ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Erealax_2Ereal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29 @ V0 ) ) @ ( s @ tyop_2Ehreal_2Ehreal @ ( i_mono_2Etyop_2Ehreal_2Ehreal @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Ehreal_2Ehreal,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Ehreal_2Ehreal,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( s @ tyop_2Ehreal_2Ehreal @ ( i_mono_2Etyop_2Ehreal_2Ehreal @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Ehreal_2Ehreal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29 @ V0 ) ) @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ V0 ) ) @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Erealax_2Ereal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29 @ V0 ) ) @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ 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_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_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_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_2Ehreal_2Ehreal,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Ehreal_2Ehreal,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( s @ tyop_2Ehreal_2Ehreal @ ( i_mono_2Etyop_2Ehreal_2Ehreal @ ( V0 @ V1 ) ) )
= ( s @ tyop_2Ehreal_2Ehreal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Ehreal_2Ehreal_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_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ ( V0 @ V1 ) ) )
= ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_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_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29 @ mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) ) @ c_2Epair_2E_2C_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal,V1: mono_2Etyop_2Ehreal_2Ehreal] :
( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal @ V0 @ V1 ) ) )
= ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ tyop_2Ehreal_2Ehreal @ ( i_mono_2Etyop_2Ehreal_2Ehreal @ V0 ) ) @ ( s @ tyop_2Ehreal_2Ehreal @ ( i_mono_2Etyop_2Ehreal_2Ehreal @ V1 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Ehreal_2Ehreal,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29 @ mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Ehreal_2Ehreal ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) @ tyop_2Ehreal_2Ehreal ) @ c_2Emin_2E_40_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Ehreal_2Ehreal,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > $o] :
( ( s @ tyop_2Ehreal_2Ehreal @ ( i_mono_2Etyop_2Ehreal_2Ehreal @ ( mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Ehreal_2Ehreal @ V0 ) ) )
= ( s @ tyop_2Ehreal_2Ehreal @ ( c_2Emin_2E_40_2E1 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Ehreal_2Ehreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ c_2Emin_2E_40_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o] :
( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ ( mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ V0 ) ) )
= ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( c_2Emin_2E_40_2E1 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29 @ mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) ) ) @ c_2Ebool_2ECOND_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0: $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ V0 @ V1 @ V2 ) ) )
= ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ V1 ) ) @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ V2 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Equotient_2EQUOTIENT_2E0_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29 @ mono_2Ec_2Equotient_2EQUOTIENT_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Erealax_2Ereal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ tyop_2Emin_2Ebool ) ) ) @ c_2Equotient_2EQUOTIENT_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Erealax_2Ereal,V2: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Equotient_2EQUOTIENT_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal @ V0 @ V1 @ V2 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29 @ V1 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 @ V2 ) ) ) ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ETYPE__DEFINITION_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal,axiom,
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 @ mono_2Ec_2Ebool_2ETYPE__DEFINITION_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ tyop_2Emin_2Ebool ) ) @ c_2Ebool_2ETYPE__DEFINITION_2E0 ) ) ).
thf(monoeq_2Emono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal,axiom,
! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o,V1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Ebool_2ETYPE__DEFINITION_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal @ V0 @ V1 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2ETYPE__DEFINITION_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Ehreal_2Ehreal @ tyop_2Ehreal_2Ehreal ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29 @ V1 ) ) ) ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: $o > $o,V1: $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: $o > $o > $o,V1: $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,axiom,
! [V0: $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1: $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o,V1: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal,axiom,
! [V0: ( mono_2Etyop_2Ehreal_2Ehreal > $o ) > mono_2Etyop_2Ehreal_2Ehreal,V1: mono_2Etyop_2Ehreal_2Ehreal > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal,axiom,
! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Erealax_2Ereal ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Erealax_2Ereal ) > ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Erealax_2Ereal] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o,V1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > $o,V1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > $o,V1: mono_2Etyop_2Ehreal_2Ehreal] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > $o,V1: mono_2Etyop_2Ehreal_2Ehreal] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > $o,V1: mono_2Etyop_2Ehreal_2Ehreal] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal,V1: mono_2Etyop_2Ehreal_2Ehreal] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1: mono_2Etyop_2Ehreal_2Ehreal] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal,V1: mono_2Etyop_2Ehreal_2Ehreal] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1: mono_2Etyop_2Ehreal_2Ehreal] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Erealax_2Ereal,axiom,
! [V0: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Ehreal_2Ehreal] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Ehreal_2Ehreal,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Ehreal_2Ehreal,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal,axiom,
! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( 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_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $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_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_2Ehreal_2Ehreal,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Ehreal_2Ehreal,V1: mono_2Etyop_2Erealax_2Ereal] :
( ( V0 @ V1 )
= ( V0 @ V1 ) ) ).
thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_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_2Erealax_2Etreal__0,axiom,
( mono_2Ec_2Erealax_2Etreal__0
= ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal @ mono_2Ec_2Ehreal_2Ehreal__1 @ mono_2Ec_2Ehreal_2Ehreal__1 ) ) ).
thf(thm_2Erealax_2Etreal__1,axiom,
( mono_2Ec_2Erealax_2Etreal__1
= ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal @ ( mono_2Ec_2Ehreal_2Ehreal__add @ mono_2Ec_2Ehreal_2Ehreal__1 @ mono_2Ec_2Ehreal_2Ehreal__1 ) @ mono_2Ec_2Ehreal_2Ehreal__1 ) ) ).
thf(thm_2Erealax_2Etreal__neg,axiom,
! [V0x: mono_2Etyop_2Ehreal_2Ehreal,V1y: mono_2Etyop_2Ehreal_2Ehreal] :
( ( mono_2Ec_2Erealax_2Etreal__neg @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal @ V0x @ V1y ) )
= ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal @ V1y @ V0x ) ) ).
thf(thm_2Erealax_2Etreal__add,axiom,
! [V0x1: mono_2Etyop_2Ehreal_2Ehreal,V1y1: mono_2Etyop_2Ehreal_2Ehreal,V2x2: mono_2Etyop_2Ehreal_2Ehreal,V3y2: mono_2Etyop_2Ehreal_2Ehreal] :
( ( mono_2Ec_2Erealax_2Etreal__add @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal @ V0x1 @ V1y1 ) @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal @ V2x2 @ V3y2 ) )
= ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal @ ( mono_2Ec_2Ehreal_2Ehreal__add @ V0x1 @ V2x2 ) @ ( mono_2Ec_2Ehreal_2Ehreal__add @ V1y1 @ V3y2 ) ) ) ).
thf(thm_2Erealax_2Etreal__mul,axiom,
! [V0x1: mono_2Etyop_2Ehreal_2Ehreal,V1y1: mono_2Etyop_2Ehreal_2Ehreal,V2x2: mono_2Etyop_2Ehreal_2Ehreal,V3y2: mono_2Etyop_2Ehreal_2Ehreal] :
( ( mono_2Ec_2Erealax_2Etreal__mul @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal @ V0x1 @ V1y1 ) @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal @ V2x2 @ V3y2 ) )
= ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal @ ( mono_2Ec_2Ehreal_2Ehreal__add @ ( mono_2Ec_2Ehreal_2Ehreal__mul @ V0x1 @ V2x2 ) @ ( mono_2Ec_2Ehreal_2Ehreal__mul @ V1y1 @ V3y2 ) ) @ ( mono_2Ec_2Ehreal_2Ehreal__add @ ( mono_2Ec_2Ehreal_2Ehreal__mul @ V0x1 @ V3y2 ) @ ( mono_2Ec_2Ehreal_2Ehreal__mul @ V1y1 @ V2x2 ) ) ) ) ).
thf(thm_2Erealax_2Etreal__lt,axiom,
! [V0x1: mono_2Etyop_2Ehreal_2Ehreal,V1y1: mono_2Etyop_2Ehreal_2Ehreal,V2x2: mono_2Etyop_2Ehreal_2Ehreal,V3y2: mono_2Etyop_2Ehreal_2Ehreal] :
( ( mono_2Ec_2Erealax_2Etreal__lt @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal @ V0x1 @ V1y1 ) @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal @ V2x2 @ V3y2 ) )
= ( mono_2Ec_2Ehreal_2Ehreal__lt @ ( mono_2Ec_2Ehreal_2Ehreal__add @ V0x1 @ V3y2 ) @ ( mono_2Ec_2Ehreal_2Ehreal__add @ V2x2 @ V1y1 ) ) ) ).
thf(thm_2Erealax_2Etreal__inv,axiom,
! [F0: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > $o] :
( ! [V0x: mono_2Etyop_2Ehreal_2Ehreal,V1y: mono_2Etyop_2Ehreal_2Ehreal] :
( ( F0 @ V0x @ V1y )
<=> ( V0x = V1y ) )
=> ! [V0x: mono_2Etyop_2Ehreal_2Ehreal,V1y: mono_2Etyop_2Ehreal_2Ehreal] :
( ( mono_2Ec_2Erealax_2Etreal__inv @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal @ V0x @ V1y ) )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ ( F0 @ V0x @ V1y ) @ mono_2Ec_2Erealax_2Etreal__0 @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ ( mono_2Ec_2Ehreal_2Ehreal__lt @ V1y @ V0x ) @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal @ ( mono_2Ec_2Ehreal_2Ehreal__add @ ( mono_2Ec_2Ehreal_2Ehreal__inv @ ( mono_2Ec_2Ehreal_2Ehreal__sub @ V0x @ V1y ) ) @ mono_2Ec_2Ehreal_2Ehreal__1 ) @ mono_2Ec_2Ehreal_2Ehreal__1 ) @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal @ mono_2Ec_2Ehreal_2Ehreal__1 @ ( mono_2Ec_2Ehreal_2Ehreal__add @ ( mono_2Ec_2Ehreal_2Ehreal__inv @ ( mono_2Ec_2Ehreal_2Ehreal__sub @ V1y @ V0x ) ) @ mono_2Ec_2Ehreal_2Ehreal__1 ) ) ) ) ) ) ).
thf(thm_2Erealax_2Etreal__eq,axiom,
! [V0x1: mono_2Etyop_2Ehreal_2Ehreal,V1y1: mono_2Etyop_2Ehreal_2Ehreal,V2x2: mono_2Etyop_2Ehreal_2Ehreal,V3y2: mono_2Etyop_2Ehreal_2Ehreal] :
( ( mono_2Ec_2Erealax_2Etreal__eq @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal @ V0x1 @ V1y1 ) @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal @ V2x2 @ V3y2 ) )
<=> ( ( mono_2Ec_2Ehreal_2Ehreal__add @ V0x1 @ V3y2 )
= ( mono_2Ec_2Ehreal_2Ehreal__add @ V2x2 @ V1y1 ) ) ) ).
thf(thm_2Erealax_2Etreal__of__hreal,axiom,
! [V0x: mono_2Etyop_2Ehreal_2Ehreal] :
( ( mono_2Ec_2Erealax_2Etreal__of__hreal @ V0x )
= ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal @ ( mono_2Ec_2Ehreal_2Ehreal__add @ V0x @ mono_2Ec_2Ehreal_2Ehreal__1 ) @ mono_2Ec_2Ehreal_2Ehreal__1 ) ) ).
thf(thm_2Erealax_2Ehreal__of__treal,axiom,
! [F0: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal > $o] :
( ! [V0x: mono_2Etyop_2Ehreal_2Ehreal,V1y: mono_2Etyop_2Ehreal_2Ehreal,V2d: mono_2Etyop_2Ehreal_2Ehreal] :
( ( F0 @ V0x @ V1y @ V2d )
<=> ( V0x
= ( mono_2Ec_2Ehreal_2Ehreal__add @ V1y @ V2d ) ) )
=> ! [V0x: mono_2Etyop_2Ehreal_2Ehreal,V1y: mono_2Etyop_2Ehreal_2Ehreal] :
( ( mono_2Ec_2Erealax_2Ehreal__of__treal @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal @ V0x @ V1y ) )
= ( mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Ehreal_2Ehreal @ ( F0 @ V0x @ V1y ) ) ) ) ).
thf(thm_2Erealax_2Ereal__TY__DEF,axiom,
! [F0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o ) > $o] :
( ! [V1c: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o] :
( ( F0 @ V1c )
<=> ? [V2r: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( mono_2Ec_2Erealax_2Etreal__eq @ V2r @ V2r )
& ( V1c
= ( mono_2Ec_2Erealax_2Etreal__eq @ V2r ) ) ) )
=> ? [V0rep: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o] : ( mono_2Ec_2Ebool_2ETYPE__DEFINITION_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal @ F0 @ V0rep ) ) ).
thf(thm_2Erealax_2Ereal__bijections,axiom,
( ! [V0a: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Erealax_2Ereal__ABS__CLASS @ ( mono_2Ec_2Erealax_2Ereal__REP__CLASS @ V0a ) )
= V0a )
& ! [V1r: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o] :
( ? [V2r: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( mono_2Ec_2Erealax_2Etreal__eq @ V2r @ V2r )
& ( V1r
= ( mono_2Ec_2Erealax_2Etreal__eq @ V2r ) ) )
<=> ( ( mono_2Ec_2Erealax_2Ereal__REP__CLASS @ ( mono_2Ec_2Erealax_2Ereal__ABS__CLASS @ V1r ) )
= V1r ) ) ) ).
thf(thm_2Erealax_2Ereal__REP__def,axiom,
! [V0a: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Erealax_2Ereal__REP @ V0a )
= ( mono_2Ec_2Emin_2E_40_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 @ ( mono_2Ec_2Erealax_2Ereal__REP__CLASS @ V0a ) ) ) ).
thf(thm_2Erealax_2Ereal__ABS__def,axiom,
! [V0r: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( mono_2Ec_2Erealax_2Ereal__ABS @ V0r )
= ( mono_2Ec_2Erealax_2Ereal__ABS__CLASS @ ( mono_2Ec_2Erealax_2Etreal__eq @ V0r ) ) ) ).
thf(thm_2Erealax_2Ereal__0,axiom,
( mono_2Ec_2Erealax_2Ereal__0
= ( mono_2Ec_2Erealax_2Ereal__ABS @ mono_2Ec_2Erealax_2Etreal__0 ) ) ).
thf(thm_2Erealax_2Ereal__1,axiom,
( mono_2Ec_2Erealax_2Ereal__1
= ( mono_2Ec_2Erealax_2Ereal__ABS @ mono_2Ec_2Erealax_2Etreal__1 ) ) ).
thf(thm_2Erealax_2Ereal__neg,axiom,
! [V0T1: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Erealax_2Ereal__neg @ V0T1 )
= ( mono_2Ec_2Erealax_2Ereal__ABS @ ( mono_2Ec_2Erealax_2Etreal__neg @ ( mono_2Ec_2Erealax_2Ereal__REP @ V0T1 ) ) ) ) ).
thf(thm_2Erealax_2Ereal__inv,axiom,
! [V0T1: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Erealax_2Einv @ V0T1 )
= ( mono_2Ec_2Erealax_2Ereal__ABS @ ( mono_2Ec_2Erealax_2Etreal__inv @ ( mono_2Ec_2Erealax_2Ereal__REP @ V0T1 ) ) ) ) ).
thf(thm_2Erealax_2Ereal__add,axiom,
! [V0T1: mono_2Etyop_2Erealax_2Ereal,V1T2: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Erealax_2Ereal__add @ V0T1 @ V1T2 )
= ( mono_2Ec_2Erealax_2Ereal__ABS @ ( mono_2Ec_2Erealax_2Etreal__add @ ( mono_2Ec_2Erealax_2Ereal__REP @ V0T1 ) @ ( mono_2Ec_2Erealax_2Ereal__REP @ V1T2 ) ) ) ) ).
thf(thm_2Erealax_2Ereal__mul,axiom,
! [V0T1: mono_2Etyop_2Erealax_2Ereal,V1T2: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Erealax_2Ereal__mul @ V0T1 @ V1T2 )
= ( mono_2Ec_2Erealax_2Ereal__ABS @ ( mono_2Ec_2Erealax_2Etreal__mul @ ( mono_2Ec_2Erealax_2Ereal__REP @ V0T1 ) @ ( mono_2Ec_2Erealax_2Ereal__REP @ V1T2 ) ) ) ) ).
thf(thm_2Erealax_2Ereal__lt,axiom,
! [V0T1: mono_2Etyop_2Erealax_2Ereal,V1T2: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Erealax_2Ereal__lt @ V0T1 @ V1T2 )
= ( mono_2Ec_2Erealax_2Etreal__lt @ ( mono_2Ec_2Erealax_2Ereal__REP @ V0T1 ) @ ( mono_2Ec_2Erealax_2Ereal__REP @ V1T2 ) ) ) ).
thf(thm_2Erealax_2Ereal__of__hreal,axiom,
! [V0T1: mono_2Etyop_2Ehreal_2Ehreal] :
( ( mono_2Ec_2Erealax_2Ereal__of__hreal @ V0T1 )
= ( mono_2Ec_2Erealax_2Ereal__ABS @ ( mono_2Ec_2Erealax_2Etreal__of__hreal @ V0T1 ) ) ) ).
thf(thm_2Erealax_2Ehreal__of__real,axiom,
! [V0T1: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Erealax_2Ehreal__of__real @ V0T1 )
= ( mono_2Ec_2Erealax_2Ehreal__of__treal @ ( mono_2Ec_2Erealax_2Ereal__REP @ V0T1 ) ) ) ).
thf(thm_2Erealax_2EHREAL__RDISTRIB,axiom,
! [V0x: mono_2Etyop_2Ehreal_2Ehreal,V1y: mono_2Etyop_2Ehreal_2Ehreal,V2z: mono_2Etyop_2Ehreal_2Ehreal] :
( ( mono_2Ec_2Ehreal_2Ehreal__mul @ ( mono_2Ec_2Ehreal_2Ehreal__add @ V0x @ V1y ) @ V2z )
= ( mono_2Ec_2Ehreal_2Ehreal__add @ ( mono_2Ec_2Ehreal_2Ehreal__mul @ V0x @ V2z ) @ ( mono_2Ec_2Ehreal_2Ehreal__mul @ V1y @ V2z ) ) ) ).
thf(thm_2Erealax_2EHREAL__EQ__ADDR,axiom,
! [V0X: mono_2Etyop_2Ehreal_2Ehreal,V1Y: mono_2Etyop_2Ehreal_2Ehreal] :
( (~)
@ ( ( mono_2Ec_2Ehreal_2Ehreal__add @ V0X @ V1Y )
= V0X ) ) ).
thf(thm_2Erealax_2EHREAL__EQ__ADDL,axiom,
! [V0x: mono_2Etyop_2Ehreal_2Ehreal,V1y: mono_2Etyop_2Ehreal_2Ehreal] :
( (~)
@ ( V0x
= ( mono_2Ec_2Ehreal_2Ehreal__add @ V0x @ V1y ) ) ) ).
thf(thm_2Erealax_2EHREAL__EQ__LADD,axiom,
! [V0x: mono_2Etyop_2Ehreal_2Ehreal,V1y: mono_2Etyop_2Ehreal_2Ehreal,V2z: mono_2Etyop_2Ehreal_2Ehreal] :
( ( ( mono_2Ec_2Ehreal_2Ehreal__add @ V0x @ V1y )
= ( mono_2Ec_2Ehreal_2Ehreal__add @ V0x @ V2z ) )
<=> ( V1y = V2z ) ) ).
thf(thm_2Erealax_2EHREAL__LT__REFL,axiom,
! [V0x: mono_2Etyop_2Ehreal_2Ehreal] : ( (~) @ ( mono_2Ec_2Ehreal_2Ehreal__lt @ V0x @ V0x ) ) ).
thf(thm_2Erealax_2EHREAL__LT__ADDL,axiom,
! [V0x: mono_2Etyop_2Ehreal_2Ehreal,V1y: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__lt @ V0x @ ( mono_2Ec_2Ehreal_2Ehreal__add @ V0x @ V1y ) ) ).
thf(thm_2Erealax_2EHREAL__LT__NE,axiom,
! [V0x: mono_2Etyop_2Ehreal_2Ehreal,V1y: mono_2Etyop_2Ehreal_2Ehreal] :
( ( mono_2Ec_2Ehreal_2Ehreal__lt @ V0x @ V1y )
=> ( (~) @ ( V0x = V1y ) ) ) ).
thf(thm_2Erealax_2EHREAL__LT__ADDR,axiom,
! [V0x: mono_2Etyop_2Ehreal_2Ehreal,V1y: mono_2Etyop_2Ehreal_2Ehreal] : ( (~) @ ( mono_2Ec_2Ehreal_2Ehreal__lt @ ( mono_2Ec_2Ehreal_2Ehreal__add @ V0x @ V1y ) @ V0x ) ) ).
thf(thm_2Erealax_2EHREAL__LT__GT,axiom,
! [V0x: mono_2Etyop_2Ehreal_2Ehreal,V1y: mono_2Etyop_2Ehreal_2Ehreal] :
( ( mono_2Ec_2Ehreal_2Ehreal__lt @ V0x @ V1y )
=> ( (~) @ ( mono_2Ec_2Ehreal_2Ehreal__lt @ V1y @ V0x ) ) ) ).
thf(thm_2Erealax_2EHREAL__LT__ADD2,axiom,
! [V0x1: mono_2Etyop_2Ehreal_2Ehreal,V1x2: mono_2Etyop_2Ehreal_2Ehreal,V2y1: mono_2Etyop_2Ehreal_2Ehreal,V3y2: mono_2Etyop_2Ehreal_2Ehreal] :
( ( ( mono_2Ec_2Ehreal_2Ehreal__lt @ V0x1 @ V2y1 )
& ( mono_2Ec_2Ehreal_2Ehreal__lt @ V1x2 @ V3y2 ) )
=> ( mono_2Ec_2Ehreal_2Ehreal__lt @ ( mono_2Ec_2Ehreal_2Ehreal__add @ V0x1 @ V1x2 ) @ ( mono_2Ec_2Ehreal_2Ehreal__add @ V2y1 @ V3y2 ) ) ) ).
thf(thm_2Erealax_2EHREAL__LT__LADD,axiom,
! [V0x: mono_2Etyop_2Ehreal_2Ehreal,V1y: mono_2Etyop_2Ehreal_2Ehreal,V2z: mono_2Etyop_2Ehreal_2Ehreal] :
( ( mono_2Ec_2Ehreal_2Ehreal__lt @ ( mono_2Ec_2Ehreal_2Ehreal__add @ V0x @ V1y ) @ ( mono_2Ec_2Ehreal_2Ehreal__add @ V0x @ V2z ) )
= ( mono_2Ec_2Ehreal_2Ehreal__lt @ V1y @ V2z ) ) ).
thf(thm_2Erealax_2ETREAL__EQ__REFL,axiom,
! [V0x: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( mono_2Ec_2Erealax_2Etreal__eq @ V0x @ V0x ) ).
thf(thm_2Erealax_2ETREAL__EQ__SYM,axiom,
! [V0x: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1y: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( mono_2Ec_2Erealax_2Etreal__eq @ V0x @ V1y )
= ( mono_2Ec_2Erealax_2Etreal__eq @ V1y @ V0x ) ) ).
thf(thm_2Erealax_2ETREAL__EQ__TRANS,axiom,
! [V0x: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1y: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2z: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( ( mono_2Ec_2Erealax_2Etreal__eq @ V0x @ V1y )
& ( mono_2Ec_2Erealax_2Etreal__eq @ V1y @ V2z ) )
=> ( mono_2Ec_2Erealax_2Etreal__eq @ V0x @ V2z ) ) ).
thf(thm_2Erealax_2ETREAL__EQ__EQUIV,axiom,
! [V0p: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1q: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( mono_2Ec_2Erealax_2Etreal__eq @ V0p @ V1q )
<=> ( ( mono_2Ec_2Erealax_2Etreal__eq @ V0p )
= ( mono_2Ec_2Erealax_2Etreal__eq @ V1q ) ) ) ).
thf(thm_2Erealax_2ETREAL__EQ__AP,axiom,
! [V0p: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1q: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( V0p = V1q )
=> ( mono_2Ec_2Erealax_2Etreal__eq @ V0p @ V1q ) ) ).
thf(thm_2Erealax_2ETREAL__10,axiom,
(~) @ ( mono_2Ec_2Erealax_2Etreal__eq @ mono_2Ec_2Erealax_2Etreal__1 @ mono_2Ec_2Erealax_2Etreal__0 ) ).
thf(thm_2Erealax_2ETREAL__ADD__SYM,axiom,
! [V0x: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1y: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( mono_2Ec_2Erealax_2Etreal__add @ V0x @ V1y )
= ( mono_2Ec_2Erealax_2Etreal__add @ V1y @ V0x ) ) ).
thf(thm_2Erealax_2ETREAL__MUL__SYM,axiom,
! [V0x: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1y: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( mono_2Ec_2Erealax_2Etreal__mul @ V0x @ V1y )
= ( mono_2Ec_2Erealax_2Etreal__mul @ V1y @ V0x ) ) ).
thf(thm_2Erealax_2ETREAL__ADD__ASSOC,axiom,
! [V0x: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1y: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2z: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( mono_2Ec_2Erealax_2Etreal__add @ V0x @ ( mono_2Ec_2Erealax_2Etreal__add @ V1y @ V2z ) )
= ( mono_2Ec_2Erealax_2Etreal__add @ ( mono_2Ec_2Erealax_2Etreal__add @ V0x @ V1y ) @ V2z ) ) ).
thf(thm_2Erealax_2ETREAL__MUL__ASSOC,axiom,
! [V0x: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1y: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2z: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( mono_2Ec_2Erealax_2Etreal__mul @ V0x @ ( mono_2Ec_2Erealax_2Etreal__mul @ V1y @ V2z ) )
= ( mono_2Ec_2Erealax_2Etreal__mul @ ( mono_2Ec_2Erealax_2Etreal__mul @ V0x @ V1y ) @ V2z ) ) ).
thf(thm_2Erealax_2ETREAL__LDISTRIB,axiom,
! [V0x: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1y: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2z: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( mono_2Ec_2Erealax_2Etreal__mul @ V0x @ ( mono_2Ec_2Erealax_2Etreal__add @ V1y @ V2z ) )
= ( mono_2Ec_2Erealax_2Etreal__add @ ( mono_2Ec_2Erealax_2Etreal__mul @ V0x @ V1y ) @ ( mono_2Ec_2Erealax_2Etreal__mul @ V0x @ V2z ) ) ) ).
thf(thm_2Erealax_2ETREAL__ADD__LID,axiom,
! [V0x: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( mono_2Ec_2Erealax_2Etreal__eq @ ( mono_2Ec_2Erealax_2Etreal__add @ mono_2Ec_2Erealax_2Etreal__0 @ V0x ) @ V0x ) ).
thf(thm_2Erealax_2ETREAL__MUL__LID,axiom,
! [V0x: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( mono_2Ec_2Erealax_2Etreal__eq @ ( mono_2Ec_2Erealax_2Etreal__mul @ mono_2Ec_2Erealax_2Etreal__1 @ V0x ) @ V0x ) ).
thf(thm_2Erealax_2ETREAL__ADD__LINV,axiom,
! [V0x: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( mono_2Ec_2Erealax_2Etreal__eq @ ( mono_2Ec_2Erealax_2Etreal__add @ ( mono_2Ec_2Erealax_2Etreal__neg @ V0x ) @ V0x ) @ mono_2Ec_2Erealax_2Etreal__0 ) ).
thf(thm_2Erealax_2ETREAL__INV__0,axiom,
mono_2Ec_2Erealax_2Etreal__eq @ ( mono_2Ec_2Erealax_2Etreal__inv @ mono_2Ec_2Erealax_2Etreal__0 ) @ mono_2Ec_2Erealax_2Etreal__0 ).
thf(thm_2Erealax_2ETREAL__MUL__LINV,axiom,
! [V0x: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( (~) @ ( mono_2Ec_2Erealax_2Etreal__eq @ V0x @ mono_2Ec_2Erealax_2Etreal__0 ) )
=> ( mono_2Ec_2Erealax_2Etreal__eq @ ( mono_2Ec_2Erealax_2Etreal__mul @ ( mono_2Ec_2Erealax_2Etreal__inv @ V0x ) @ V0x ) @ mono_2Ec_2Erealax_2Etreal__1 ) ) ).
thf(thm_2Erealax_2ETREAL__LT__TOTAL,axiom,
! [V0x: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1y: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( mono_2Ec_2Erealax_2Etreal__eq @ V0x @ V1y )
| ( mono_2Ec_2Erealax_2Etreal__lt @ V0x @ V1y )
| ( mono_2Ec_2Erealax_2Etreal__lt @ V1y @ V0x ) ) ).
thf(thm_2Erealax_2ETREAL__LT__REFL,axiom,
! [V0x: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( (~) @ ( mono_2Ec_2Erealax_2Etreal__lt @ V0x @ V0x ) ) ).
thf(thm_2Erealax_2ETREAL__LT__TRANS,axiom,
! [V0x: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1y: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2z: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( ( mono_2Ec_2Erealax_2Etreal__lt @ V0x @ V1y )
& ( mono_2Ec_2Erealax_2Etreal__lt @ V1y @ V2z ) )
=> ( mono_2Ec_2Erealax_2Etreal__lt @ V0x @ V2z ) ) ).
thf(thm_2Erealax_2ETREAL__LT__ADD,axiom,
! [V0x: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1y: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2z: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( mono_2Ec_2Erealax_2Etreal__lt @ V1y @ V2z )
=> ( mono_2Ec_2Erealax_2Etreal__lt @ ( mono_2Ec_2Erealax_2Etreal__add @ V0x @ V1y ) @ ( mono_2Ec_2Erealax_2Etreal__add @ V0x @ V2z ) ) ) ).
thf(thm_2Erealax_2ETREAL__LT__MUL,axiom,
! [V0x: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1y: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( ( mono_2Ec_2Erealax_2Etreal__lt @ mono_2Ec_2Erealax_2Etreal__0 @ V0x )
& ( mono_2Ec_2Erealax_2Etreal__lt @ mono_2Ec_2Erealax_2Etreal__0 @ V1y ) )
=> ( mono_2Ec_2Erealax_2Etreal__lt @ mono_2Ec_2Erealax_2Etreal__0 @ ( mono_2Ec_2Erealax_2Etreal__mul @ V0x @ V1y ) ) ) ).
thf(thm_2Erealax_2ETREAL__BIJ,axiom,
( ! [V0h: mono_2Etyop_2Ehreal_2Ehreal] :
( ( mono_2Ec_2Erealax_2Ehreal__of__treal @ ( mono_2Ec_2Erealax_2Etreal__of__hreal @ V0h ) )
= V0h )
& ! [V1r: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( mono_2Ec_2Erealax_2Etreal__lt @ mono_2Ec_2Erealax_2Etreal__0 @ V1r )
= ( mono_2Ec_2Erealax_2Etreal__eq @ ( mono_2Ec_2Erealax_2Etreal__of__hreal @ ( mono_2Ec_2Erealax_2Ehreal__of__treal @ V1r ) ) @ V1r ) ) ) ).
thf(thm_2Erealax_2ETREAL__ISO,axiom,
! [V0h: mono_2Etyop_2Ehreal_2Ehreal,V1i: mono_2Etyop_2Ehreal_2Ehreal] :
( ( mono_2Ec_2Ehreal_2Ehreal__lt @ V0h @ V1i )
=> ( mono_2Ec_2Erealax_2Etreal__lt @ ( mono_2Ec_2Erealax_2Etreal__of__hreal @ V0h ) @ ( mono_2Ec_2Erealax_2Etreal__of__hreal @ V1i ) ) ) ).
thf(thm_2Erealax_2ETREAL__BIJ__WELLDEF,axiom,
! [V0h: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1i: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( mono_2Ec_2Erealax_2Etreal__eq @ V0h @ V1i )
=> ( ( mono_2Ec_2Erealax_2Ehreal__of__treal @ V0h )
= ( mono_2Ec_2Erealax_2Ehreal__of__treal @ V1i ) ) ) ).
thf(thm_2Erealax_2ETREAL__NEG__WELLDEF,axiom,
! [V0x1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1x2: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( mono_2Ec_2Erealax_2Etreal__eq @ V0x1 @ V1x2 )
=> ( mono_2Ec_2Erealax_2Etreal__eq @ ( mono_2Ec_2Erealax_2Etreal__neg @ V0x1 ) @ ( mono_2Ec_2Erealax_2Etreal__neg @ V1x2 ) ) ) ).
thf(thm_2Erealax_2ETREAL__ADD__WELLDEFR,axiom,
! [V0x1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1x2: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2y: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( mono_2Ec_2Erealax_2Etreal__eq @ V0x1 @ V1x2 )
=> ( mono_2Ec_2Erealax_2Etreal__eq @ ( mono_2Ec_2Erealax_2Etreal__add @ V0x1 @ V2y ) @ ( mono_2Ec_2Erealax_2Etreal__add @ V1x2 @ V2y ) ) ) ).
thf(thm_2Erealax_2ETREAL__ADD__WELLDEF,axiom,
! [V0x1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1x2: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2y1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V3y2: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( ( mono_2Ec_2Erealax_2Etreal__eq @ V0x1 @ V1x2 )
& ( mono_2Ec_2Erealax_2Etreal__eq @ V2y1 @ V3y2 ) )
=> ( mono_2Ec_2Erealax_2Etreal__eq @ ( mono_2Ec_2Erealax_2Etreal__add @ V0x1 @ V2y1 ) @ ( mono_2Ec_2Erealax_2Etreal__add @ V1x2 @ V3y2 ) ) ) ).
thf(thm_2Erealax_2ETREAL__MUL__WELLDEFR,axiom,
! [V0x1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1x2: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2y: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( mono_2Ec_2Erealax_2Etreal__eq @ V0x1 @ V1x2 )
=> ( mono_2Ec_2Erealax_2Etreal__eq @ ( mono_2Ec_2Erealax_2Etreal__mul @ V0x1 @ V2y ) @ ( mono_2Ec_2Erealax_2Etreal__mul @ V1x2 @ V2y ) ) ) ).
thf(thm_2Erealax_2ETREAL__MUL__WELLDEF,axiom,
! [V0x1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1x2: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2y1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V3y2: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( ( mono_2Ec_2Erealax_2Etreal__eq @ V0x1 @ V1x2 )
& ( mono_2Ec_2Erealax_2Etreal__eq @ V2y1 @ V3y2 ) )
=> ( mono_2Ec_2Erealax_2Etreal__eq @ ( mono_2Ec_2Erealax_2Etreal__mul @ V0x1 @ V2y1 ) @ ( mono_2Ec_2Erealax_2Etreal__mul @ V1x2 @ V3y2 ) ) ) ).
thf(thm_2Erealax_2ETREAL__LT__WELLDEFR,axiom,
! [V0x1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1x2: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2y: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( mono_2Ec_2Erealax_2Etreal__eq @ V0x1 @ V1x2 )
=> ( ( mono_2Ec_2Erealax_2Etreal__lt @ V0x1 @ V2y )
= ( mono_2Ec_2Erealax_2Etreal__lt @ V1x2 @ V2y ) ) ) ).
thf(thm_2Erealax_2ETREAL__LT__WELLDEFL,axiom,
! [V0x: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1y1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2y2: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( mono_2Ec_2Erealax_2Etreal__eq @ V1y1 @ V2y2 )
=> ( ( mono_2Ec_2Erealax_2Etreal__lt @ V0x @ V1y1 )
= ( mono_2Ec_2Erealax_2Etreal__lt @ V0x @ V2y2 ) ) ) ).
thf(thm_2Erealax_2ETREAL__LT__WELLDEF,axiom,
! [V0x1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1x2: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2y1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V3y2: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( ( mono_2Ec_2Erealax_2Etreal__eq @ V0x1 @ V1x2 )
& ( mono_2Ec_2Erealax_2Etreal__eq @ V2y1 @ V3y2 ) )
=> ( ( mono_2Ec_2Erealax_2Etreal__lt @ V0x1 @ V2y1 )
= ( mono_2Ec_2Erealax_2Etreal__lt @ V1x2 @ V3y2 ) ) ) ).
thf(thm_2Erealax_2ETREAL__INV__WELLDEF,axiom,
! [V0x1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1x2: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( mono_2Ec_2Erealax_2Etreal__eq @ V0x1 @ V1x2 )
=> ( mono_2Ec_2Erealax_2Etreal__eq @ ( mono_2Ec_2Erealax_2Etreal__inv @ V0x1 ) @ ( mono_2Ec_2Erealax_2Etreal__inv @ V1x2 ) ) ) ).
thf(thm_2Erealax_2Ereal__ABS__REP__CLASS,axiom,
( ! [V0a: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Erealax_2Ereal__ABS__CLASS @ ( mono_2Ec_2Erealax_2Ereal__REP__CLASS @ V0a ) )
= V0a )
& ! [V1c: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > $o] :
( ? [V2r: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
( ( mono_2Ec_2Erealax_2Etreal__eq @ V2r @ V2r )
& ( V1c
= ( mono_2Ec_2Erealax_2Etreal__eq @ V2r ) ) )
<=> ( ( mono_2Ec_2Erealax_2Ereal__REP__CLASS @ ( mono_2Ec_2Erealax_2Ereal__ABS__CLASS @ V1c ) )
= V1c ) ) ) ).
thf(thm_2Erealax_2Ereal__QUOTIENT,axiom,
mono_2Ec_2Equotient_2EQUOTIENT_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal @ mono_2Ec_2Erealax_2Etreal__eq @ mono_2Ec_2Erealax_2Ereal__ABS @ mono_2Ec_2Erealax_2Ereal__REP ).
thf(thm_2Erealax_2EREAL__ISO__EQ,axiom,
! [V0h: mono_2Etyop_2Ehreal_2Ehreal,V1i: mono_2Etyop_2Ehreal_2Ehreal] :
( ( mono_2Ec_2Ehreal_2Ehreal__lt @ V0h @ V1i )
= ( mono_2Ec_2Erealax_2Ereal__lt @ ( mono_2Ec_2Erealax_2Ereal__of__hreal @ V0h ) @ ( mono_2Ec_2Erealax_2Ereal__of__hreal @ V1i ) ) ) ).
thf(thm_2Erealax_2EREAL__POS,axiom,
! [V0X: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Erealax_2Ereal__lt @ mono_2Ec_2Erealax_2Ereal__0 @ ( mono_2Ec_2Erealax_2Ereal__of__hreal @ V0X ) ) ).
thf(thm_2Erealax_2ESUP__ALLPOS__LEMMA1,axiom,
! [V0P: mono_2Etyop_2Erealax_2Ereal > $o,V1y: mono_2Etyop_2Erealax_2Ereal] :
( ! [V2x: mono_2Etyop_2Erealax_2Ereal] :
( ( V0P @ V2x )
=> ( mono_2Ec_2Erealax_2Ereal__lt @ mono_2Ec_2Erealax_2Ereal__0 @ V2x ) )
=> ( ? [V3x: mono_2Etyop_2Erealax_2Ereal] :
( ( V0P @ V3x )
& ( mono_2Ec_2Erealax_2Ereal__lt @ V1y @ V3x ) )
<=> ? [V4X: mono_2Etyop_2Ehreal_2Ehreal] :
( ( V0P @ ( mono_2Ec_2Erealax_2Ereal__of__hreal @ V4X ) )
& ( mono_2Ec_2Erealax_2Ereal__lt @ V1y @ ( mono_2Ec_2Erealax_2Ereal__of__hreal @ V4X ) ) ) ) ) ).
thf(thm_2Erealax_2ESUP__ALLPOS__LEMMA2,axiom,
! [V0P: mono_2Etyop_2Erealax_2Ereal > $o,V1X: mono_2Etyop_2Ehreal_2Ehreal] :
( ( V0P @ ( mono_2Ec_2Erealax_2Ereal__of__hreal @ V1X ) )
= ( V0P @ ( mono_2Ec_2Erealax_2Ereal__of__hreal @ V1X ) ) ) ).
thf(thm_2Erealax_2ESUP__ALLPOS__LEMMA3,axiom,
! [V0P: mono_2Etyop_2Erealax_2Ereal > $o] :
( ( ! [V1x: mono_2Etyop_2Erealax_2Ereal] :
( ( V0P @ V1x )
=> ( mono_2Ec_2Erealax_2Ereal__lt @ mono_2Ec_2Erealax_2Ereal__0 @ V1x ) )
& ? [V2x: mono_2Etyop_2Erealax_2Ereal] : ( V0P @ V2x )
& ? [V3z: mono_2Etyop_2Erealax_2Ereal] :
! [V4x: mono_2Etyop_2Erealax_2Ereal] :
( ( V0P @ V4x )
=> ( mono_2Ec_2Erealax_2Ereal__lt @ V4x @ V3z ) ) )
=> ( ? [V5X: mono_2Etyop_2Ehreal_2Ehreal] : ( V0P @ ( mono_2Ec_2Erealax_2Ereal__of__hreal @ V5X ) )
& ? [V6Y: mono_2Etyop_2Ehreal_2Ehreal] :
! [V7X: mono_2Etyop_2Ehreal_2Ehreal] :
( ( V0P @ ( mono_2Ec_2Erealax_2Ereal__of__hreal @ V7X ) )
=> ( mono_2Ec_2Ehreal_2Ehreal__lt @ V7X @ V6Y ) ) ) ) ).
thf(thm_2Erealax_2ESUP__ALLPOS__LEMMA4,axiom,
! [V0y: mono_2Etyop_2Erealax_2Ereal] :
( ( (~) @ ( mono_2Ec_2Erealax_2Ereal__lt @ mono_2Ec_2Erealax_2Ereal__0 @ V0y ) )
=> ! [V1x: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Erealax_2Ereal__lt @ V0y @ ( mono_2Ec_2Erealax_2Ereal__of__hreal @ V1x ) ) ) ).
thf(thm_2Erealax_2EREAL__SUP__ALLPOS,axiom,
! [V0P: mono_2Etyop_2Erealax_2Ereal > $o] :
( ( ! [V1x: mono_2Etyop_2Erealax_2Ereal] :
( ( V0P @ V1x )
=> ( mono_2Ec_2Erealax_2Ereal__lt @ mono_2Ec_2Erealax_2Ereal__0 @ V1x ) )
& ? [V2x: mono_2Etyop_2Erealax_2Ereal] : ( V0P @ V2x )
& ? [V3z: mono_2Etyop_2Erealax_2Ereal] :
! [V4x: mono_2Etyop_2Erealax_2Ereal] :
( ( V0P @ V4x )
=> ( mono_2Ec_2Erealax_2Ereal__lt @ V4x @ V3z ) ) )
=> ? [V5s: mono_2Etyop_2Erealax_2Ereal] :
! [V6y: mono_2Etyop_2Erealax_2Ereal] :
( ? [V7x: mono_2Etyop_2Erealax_2Ereal] :
( ( V0P @ V7x )
& ( mono_2Ec_2Erealax_2Ereal__lt @ V6y @ V7x ) )
<=> ( mono_2Ec_2Erealax_2Ereal__lt @ V6y @ V5s ) ) ) ).
thf(thm_2Erealax_2EREAL__10,axiom,
(~) @ ( mono_2Ec_2Erealax_2Ereal__1 = mono_2Ec_2Erealax_2Ereal__0 ) ).
thf(thm_2Erealax_2EREAL__ADD__SYM,axiom,
! [V0x: mono_2Etyop_2Erealax_2Ereal,V1y: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Erealax_2Ereal__add @ V0x @ V1y )
= ( mono_2Ec_2Erealax_2Ereal__add @ V1y @ V0x ) ) ).
thf(thm_2Erealax_2EREAL__MUL__SYM,axiom,
! [V0x: mono_2Etyop_2Erealax_2Ereal,V1y: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Erealax_2Ereal__mul @ V0x @ V1y )
= ( mono_2Ec_2Erealax_2Ereal__mul @ V1y @ V0x ) ) ).
thf(thm_2Erealax_2EREAL__ADD__ASSOC,axiom,
! [V0x: mono_2Etyop_2Erealax_2Ereal,V1y: mono_2Etyop_2Erealax_2Ereal,V2z: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Erealax_2Ereal__add @ V0x @ ( mono_2Ec_2Erealax_2Ereal__add @ V1y @ V2z ) )
= ( mono_2Ec_2Erealax_2Ereal__add @ ( mono_2Ec_2Erealax_2Ereal__add @ V0x @ V1y ) @ V2z ) ) ).
thf(thm_2Erealax_2EREAL__MUL__ASSOC,axiom,
! [V0x: mono_2Etyop_2Erealax_2Ereal,V1y: mono_2Etyop_2Erealax_2Ereal,V2z: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Erealax_2Ereal__mul @ V0x @ ( mono_2Ec_2Erealax_2Ereal__mul @ V1y @ V2z ) )
= ( mono_2Ec_2Erealax_2Ereal__mul @ ( mono_2Ec_2Erealax_2Ereal__mul @ V0x @ V1y ) @ V2z ) ) ).
thf(thm_2Erealax_2EREAL__LDISTRIB,axiom,
! [V0x: mono_2Etyop_2Erealax_2Ereal,V1y: mono_2Etyop_2Erealax_2Ereal,V2z: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Erealax_2Ereal__mul @ V0x @ ( mono_2Ec_2Erealax_2Ereal__add @ V1y @ V2z ) )
= ( mono_2Ec_2Erealax_2Ereal__add @ ( mono_2Ec_2Erealax_2Ereal__mul @ V0x @ V1y ) @ ( mono_2Ec_2Erealax_2Ereal__mul @ V0x @ V2z ) ) ) ).
thf(thm_2Erealax_2EREAL__ADD__LID,axiom,
! [V0x: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Erealax_2Ereal__add @ mono_2Ec_2Erealax_2Ereal__0 @ V0x )
= V0x ) ).
thf(thm_2Erealax_2EREAL__MUL__LID,axiom,
! [V0x: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Erealax_2Ereal__mul @ mono_2Ec_2Erealax_2Ereal__1 @ V0x )
= V0x ) ).
thf(thm_2Erealax_2EREAL__ADD__LINV,axiom,
! [V0x: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Erealax_2Ereal__add @ ( mono_2Ec_2Erealax_2Ereal__neg @ V0x ) @ V0x )
= mono_2Ec_2Erealax_2Ereal__0 ) ).
thf(thm_2Erealax_2EREAL__MUL__LINV,axiom,
! [V0x: mono_2Etyop_2Erealax_2Ereal] :
( ( (~) @ ( V0x = mono_2Ec_2Erealax_2Ereal__0 ) )
=> ( ( mono_2Ec_2Erealax_2Ereal__mul @ ( mono_2Ec_2Erealax_2Einv @ V0x ) @ V0x )
= mono_2Ec_2Erealax_2Ereal__1 ) ) ).
thf(thm_2Erealax_2EREAL__LT__TOTAL,axiom,
! [V0x: mono_2Etyop_2Erealax_2Ereal,V1y: mono_2Etyop_2Erealax_2Ereal] :
( ( V0x = V1y )
| ( mono_2Ec_2Erealax_2Ereal__lt @ V0x @ V1y )
| ( mono_2Ec_2Erealax_2Ereal__lt @ V1y @ V0x ) ) ).
thf(thm_2Erealax_2EREAL__LT__REFL,axiom,
! [V0x: mono_2Etyop_2Erealax_2Ereal] : ( (~) @ ( mono_2Ec_2Erealax_2Ereal__lt @ V0x @ V0x ) ) ).
thf(thm_2Erealax_2EREAL__LT__TRANS,axiom,
! [V0x: mono_2Etyop_2Erealax_2Ereal,V1y: mono_2Etyop_2Erealax_2Ereal,V2z: mono_2Etyop_2Erealax_2Ereal] :
( ( ( mono_2Ec_2Erealax_2Ereal__lt @ V0x @ V1y )
& ( mono_2Ec_2Erealax_2Ereal__lt @ V1y @ V2z ) )
=> ( mono_2Ec_2Erealax_2Ereal__lt @ V0x @ V2z ) ) ).
thf(thm_2Erealax_2EREAL__LT__IADD,axiom,
! [V0x: mono_2Etyop_2Erealax_2Ereal,V1y: mono_2Etyop_2Erealax_2Ereal,V2z: mono_2Etyop_2Erealax_2Ereal] :
( ( mono_2Ec_2Erealax_2Ereal__lt @ V1y @ V2z )
=> ( mono_2Ec_2Erealax_2Ereal__lt @ ( mono_2Ec_2Erealax_2Ereal__add @ V0x @ V1y ) @ ( mono_2Ec_2Erealax_2Ereal__add @ V0x @ V2z ) ) ) ).
thf(thm_2Erealax_2EREAL__LT__MUL,axiom,
! [V0x: mono_2Etyop_2Erealax_2Ereal,V1y: mono_2Etyop_2Erealax_2Ereal] :
( ( ( mono_2Ec_2Erealax_2Ereal__lt @ mono_2Ec_2Erealax_2Ereal__0 @ V0x )
& ( mono_2Ec_2Erealax_2Ereal__lt @ mono_2Ec_2Erealax_2Ereal__0 @ V1y ) )
=> ( mono_2Ec_2Erealax_2Ereal__lt @ mono_2Ec_2Erealax_2Ereal__0 @ ( mono_2Ec_2Erealax_2Ereal__mul @ V0x @ V1y ) ) ) ).
thf(thm_2Erealax_2EREAL__INV__0,axiom,
( ( mono_2Ec_2Erealax_2Einv @ mono_2Ec_2Erealax_2Ereal__0 )
= mono_2Ec_2Erealax_2Ereal__0 ) ).
%------------------------------------------------------------------------------