ITP001 Axioms: ITP099_4.ax
%------------------------------------------------------------------------------
% File : ITP099_4 : TPTP v8.2.0. Bugfixed v7.5.0.
% Domain : Interactive Theorem Proving
% Axioms : HOL4 syntactic export, chainy mode
% Version : [BG+19] axioms.
% English :
% Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% Source : [BG+19]
% Names : hreal.ax [Gau19]
% : HL4099_4.ax [TPAP]
% Status : Satisfiable
% Syntax : Number of formulae : 361 ( 120 unt; 188 typ; 0 def)
% Number of atoms : 290 ( 142 equ)
% Maximal formula atoms : 9 ( 0 avg)
% Number of connectives : 136 ( 19 ~; 9 |; 39 &)
% ( 31 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 25 ( 24 usr)
% Number of type conns : 157 ( 109 >; 48 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty)
% Number of functors : 163 ( 163 usr; 55 con; 0-2 aty)
% Number of variables : 380 ( 342 !; 38 ?; 380 :)
% SPC : TF0_SAT_EQU_NAR
% Comments :
% Bugfixes : v7.5.0 - Fixes to the axioms.
%------------------------------------------------------------------------------
tff(u,type,
u: $tType ).
tff(d,type,
d: $tType ).
tff(du,type,
du: $tType ).
tff(mono_2Etyop_2Emin_2Ebool,type,
mono_2Etyop_2Emin_2Ebool: $tType ).
tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: $tType ).
tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: $tType ).
tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29: $tType ).
tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: $tType ).
tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29: $tType ).
tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29: $tType ).
tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29: $tType ).
tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: $tType ).
tff(mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29: $tType ).
tff(mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29: $tType ).
tff(mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29_29,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29_29: $tType ).
tff(mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29: $tType ).
tff(mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29: $tType ).
tff(mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29: $tType ).
tff(mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29: $tType ).
tff(mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_29,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_29: $tType ).
tff(mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: $tType ).
tff(mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: $tType ).
tff(mono_2Etyop_2Ehrat_2Ehrat,type,
mono_2Etyop_2Ehrat_2Ehrat: $tType ).
tff(mono_2Etyop_2Ehreal_2Ehreal,type,
mono_2Etyop_2Ehreal_2Ehreal: $tType ).
tff(tyop_2Ehrat_2Ehrat,type,
tyop_2Ehrat_2Ehrat: d ).
tff(tyop_2Ehreal_2Ehreal,type,
tyop_2Ehreal_2Ehreal: d ).
tff(tyop_2Emin_2Ebool,type,
tyop_2Emin_2Ebool: d ).
tff(tyop_2Emin_2Efun,type,
tyop_2Emin_2Efun: ( d * d ) > d ).
tff(s,type,
s: ( d * u ) > du ).
tff(app_2E2,type,
app_2E2: ( du * du ) > u ).
tff(p,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
tff(combin_i_2E0,type,
combin_i_2E0: u ).
tff(combin_k_2E0,type,
combin_k_2E0: u ).
tff(combin_s_2E0,type,
combin_s_2E0: u ).
tff(c_2Ebool_2E_21_2E0,type,
c_2Ebool_2E_21_2E0: u ).
tff(c_2Ebool_2E_21_2E1,type,
c_2Ebool_2E_21_2E1: du > u ).
tff(c_2Ebool_2E_2F_5C_2E0,type,
c_2Ebool_2E_2F_5C_2E0: u ).
tff(c_2Ebool_2E_2F_5C_2E2,type,
c_2Ebool_2E_2F_5C_2E2: ( du * du ) > u ).
tff(c_2Emin_2E_3D_2E0,type,
c_2Emin_2E_3D_2E0: u ).
tff(c_2Emin_2E_3D_2E2,type,
c_2Emin_2E_3D_2E2: ( du * du ) > u ).
tff(c_2Emin_2E_3D_3D_3E_2E0,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
tff(c_2Emin_2E_3D_3D_3E_2E2,type,
c_2Emin_2E_3D_3D_3E_2E2: ( du * du ) > u ).
tff(c_2Ebool_2E_3F_2E0,type,
c_2Ebool_2E_3F_2E0: u ).
tff(c_2Ebool_2E_3F_2E1,type,
c_2Ebool_2E_3F_2E1: du > u ).
tff(c_2Ebool_2EF_2E0,type,
c_2Ebool_2EF_2E0: u ).
tff(c_2Ebool_2ET_2E0,type,
c_2Ebool_2ET_2E0: u ).
tff(c_2Ebool_2ETYPE__DEFINITION_2E0,type,
c_2Ebool_2ETYPE__DEFINITION_2E0: u ).
tff(c_2Ebool_2ETYPE__DEFINITION_2E2,type,
c_2Ebool_2ETYPE__DEFINITION_2E2: ( du * du ) > u ).
tff(c_2Ebool_2E_5C_2F_2E0,type,
c_2Ebool_2E_5C_2F_2E0: u ).
tff(c_2Ebool_2E_5C_2F_2E2,type,
c_2Ebool_2E_5C_2F_2E2: ( du * du ) > u ).
tff(c_2Ehreal_2Ecut_2E0,type,
c_2Ehreal_2Ecut_2E0: u ).
tff(c_2Ehreal_2Ecut_2E1,type,
c_2Ehreal_2Ecut_2E1: du > u ).
tff(c_2Ehreal_2Ecut_2E2,type,
c_2Ehreal_2Ecut_2E2: ( du * du ) > u ).
tff(c_2Ehreal_2Ecut__of__hrat_2E0,type,
c_2Ehreal_2Ecut__of__hrat_2E0: u ).
tff(c_2Ehreal_2Ecut__of__hrat_2E1,type,
c_2Ehreal_2Ecut__of__hrat_2E1: du > u ).
tff(c_2Ehreal_2Ecut__of__hrat_2E2,type,
c_2Ehreal_2Ecut__of__hrat_2E2: ( du * du ) > u ).
tff(c_2Ehrat_2Ehrat__1_2E0,type,
c_2Ehrat_2Ehrat__1_2E0: u ).
tff(c_2Ehrat_2Ehrat__add_2E0,type,
c_2Ehrat_2Ehrat__add_2E0: u ).
tff(c_2Ehrat_2Ehrat__add_2E2,type,
c_2Ehrat_2Ehrat__add_2E2: ( du * du ) > u ).
tff(c_2Ehrat_2Ehrat__inv_2E0,type,
c_2Ehrat_2Ehrat__inv_2E0: u ).
tff(c_2Ehrat_2Ehrat__inv_2E1,type,
c_2Ehrat_2Ehrat__inv_2E1: du > u ).
tff(c_2Ehreal_2Ehrat__lt_2E0,type,
c_2Ehreal_2Ehrat__lt_2E0: u ).
tff(c_2Ehreal_2Ehrat__lt_2E2,type,
c_2Ehreal_2Ehrat__lt_2E2: ( du * du ) > u ).
tff(c_2Ehrat_2Ehrat__mul_2E0,type,
c_2Ehrat_2Ehrat__mul_2E0: u ).
tff(c_2Ehrat_2Ehrat__mul_2E2,type,
c_2Ehrat_2Ehrat__mul_2E2: ( du * du ) > u ).
tff(c_2Ehreal_2Ehreal_2E0,type,
c_2Ehreal_2Ehreal_2E0: u ).
tff(c_2Ehreal_2Ehreal_2E1,type,
c_2Ehreal_2Ehreal_2E1: du > u ).
tff(c_2Ehreal_2Ehreal__1_2E0,type,
c_2Ehreal_2Ehreal__1_2E0: u ).
tff(c_2Ehreal_2Ehreal__add_2E0,type,
c_2Ehreal_2Ehreal__add_2E0: u ).
tff(c_2Ehreal_2Ehreal__add_2E2,type,
c_2Ehreal_2Ehreal__add_2E2: ( du * du ) > u ).
tff(c_2Ehreal_2Ehreal__inv_2E0,type,
c_2Ehreal_2Ehreal__inv_2E0: u ).
tff(c_2Ehreal_2Ehreal__inv_2E1,type,
c_2Ehreal_2Ehreal__inv_2E1: du > u ).
tff(c_2Ehreal_2Ehreal__lt_2E0,type,
c_2Ehreal_2Ehreal__lt_2E0: u ).
tff(c_2Ehreal_2Ehreal__lt_2E2,type,
c_2Ehreal_2Ehreal__lt_2E2: ( du * du ) > u ).
tff(c_2Ehreal_2Ehreal__mul_2E0,type,
c_2Ehreal_2Ehreal__mul_2E0: u ).
tff(c_2Ehreal_2Ehreal__mul_2E2,type,
c_2Ehreal_2Ehreal__mul_2E2: ( du * du ) > u ).
tff(c_2Ehreal_2Ehreal__sub_2E0,type,
c_2Ehreal_2Ehreal__sub_2E0: u ).
tff(c_2Ehreal_2Ehreal__sub_2E2,type,
c_2Ehreal_2Ehreal__sub_2E2: ( du * du ) > u ).
tff(c_2Ehreal_2Ehreal__sup_2E0,type,
c_2Ehreal_2Ehreal__sup_2E0: u ).
tff(c_2Ehreal_2Ehreal__sup_2E1,type,
c_2Ehreal_2Ehreal__sup_2E1: du > u ).
tff(c_2Ehreal_2Eisacut_2E0,type,
c_2Ehreal_2Eisacut_2E0: u ).
tff(c_2Ehreal_2Eisacut_2E1,type,
c_2Ehreal_2Eisacut_2E1: du > u ).
tff(c_2Ebool_2E_7E_2E0,type,
c_2Ebool_2E_7E_2E0: u ).
tff(c_2Ebool_2E_7E_2E1,type,
c_2Ebool_2E_7E_2E1: du > u ).
tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 ).
tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Ebool ).
tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Ehreal_2Ehreal ).
tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29 ).
tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Ehreal_2Ehreal ).
tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29 ) > mono_2Etyop_2Emin_2Ebool ).
tff(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Ehrat_2Ehrat ) > mono_2Etyop_2Emin_2Ebool ).
tff(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Ehrat_2Ehrat ) > mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29 ).
tff(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29_29 * mono_2Etyop_2Ehrat_2Ehrat ) > mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29 ).
tff(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Ehrat_2Ehrat,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Ehrat_2Ehrat: ( mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29 * mono_2Etyop_2Ehrat_2Ehrat ) > mono_2Etyop_2Ehrat_2Ehrat ).
tff(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Ebool,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Emin_2Ebool ).
tff(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29 ).
tff(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29 ).
tff(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_29 * mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29 ).
tff(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 * mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
tff(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 * mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Ehreal_2Ehreal ).
tff(mono_2Ec_2Ebool_2E_2F_5C_2E0,type,
mono_2Ec_2Ebool_2E_2F_5C_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(mono_2Ec_2Ebool_2E_2F_5C_2E2,type,
mono_2Ec_2Ebool_2E_2F_5C_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(mono_2Ec_2Emin_2E_3D_3D_3E_2E0,type,
mono_2Ec_2Emin_2E_3D_3D_3E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(mono_2Ec_2Emin_2E_3D_3D_3E_2E2,type,
mono_2Ec_2Emin_2E_3D_3D_3E_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(mono_2Ec_2Ebool_2EF_2E0,type,
mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(mono_2Ec_2Ebool_2ET_2E0,type,
mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal,type,
mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 ).
tff(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal,type,
mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29 ) > mono_2Etyop_2Emin_2Ebool ).
tff(mono_2Ec_2Ebool_2E_5C_2F_2E0,type,
mono_2Ec_2Ebool_2E_5C_2F_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(mono_2Ec_2Ebool_2E_5C_2F_2E2,type,
mono_2Ec_2Ebool_2E_5C_2F_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(mono_2Ec_2Ehreal_2Ecut_2E0,type,
mono_2Ec_2Ehreal_2Ecut_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29 ).
tff(mono_2Ec_2Ehreal_2Ecut_2E1,type,
mono_2Ec_2Ehreal_2Ecut_2E1: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29 ).
tff(mono_2Ec_2Ehreal_2Ecut_2E2,type,
mono_2Ec_2Ehreal_2Ecut_2E2: ( mono_2Etyop_2Ehreal_2Ehreal * mono_2Etyop_2Ehrat_2Ehrat ) > mono_2Etyop_2Emin_2Ebool ).
tff(mono_2Ec_2Ehreal_2Ecut__of__hrat_2E0,type,
mono_2Ec_2Ehreal_2Ecut__of__hrat_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29 ).
tff(mono_2Ec_2Ehreal_2Ecut__of__hrat_2E1,type,
mono_2Ec_2Ehreal_2Ecut__of__hrat_2E1: mono_2Etyop_2Ehrat_2Ehrat > mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29 ).
tff(mono_2Ec_2Ehreal_2Ecut__of__hrat_2E2,type,
mono_2Ec_2Ehreal_2Ecut__of__hrat_2E2: ( mono_2Etyop_2Ehrat_2Ehrat * mono_2Etyop_2Ehrat_2Ehrat ) > mono_2Etyop_2Emin_2Ebool ).
tff(mono_2Ec_2Ehrat_2Ehrat__1_2E0,type,
mono_2Ec_2Ehrat_2Ehrat__1_2E0: mono_2Etyop_2Ehrat_2Ehrat ).
tff(mono_2Ec_2Ehrat_2Ehrat__add_2E0,type,
mono_2Ec_2Ehrat_2Ehrat__add_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29_29 ).
tff(mono_2Ec_2Ehrat_2Ehrat__add_2E2,type,
mono_2Ec_2Ehrat_2Ehrat__add_2E2: ( mono_2Etyop_2Ehrat_2Ehrat * mono_2Etyop_2Ehrat_2Ehrat ) > mono_2Etyop_2Ehrat_2Ehrat ).
tff(mono_2Ec_2Ehrat_2Ehrat__inv_2E0,type,
mono_2Ec_2Ehrat_2Ehrat__inv_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29 ).
tff(mono_2Ec_2Ehrat_2Ehrat__inv_2E1,type,
mono_2Ec_2Ehrat_2Ehrat__inv_2E1: mono_2Etyop_2Ehrat_2Ehrat > mono_2Etyop_2Ehrat_2Ehrat ).
tff(mono_2Ec_2Ehreal_2Ehrat__lt_2E0,type,
mono_2Ec_2Ehreal_2Ehrat__lt_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29 ).
tff(mono_2Ec_2Ehreal_2Ehrat__lt_2E2,type,
mono_2Ec_2Ehreal_2Ehrat__lt_2E2: ( mono_2Etyop_2Ehrat_2Ehrat * mono_2Etyop_2Ehrat_2Ehrat ) > mono_2Etyop_2Emin_2Ebool ).
tff(mono_2Ec_2Ehrat_2Ehrat__mul_2E0,type,
mono_2Ec_2Ehrat_2Ehrat__mul_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29_29 ).
tff(mono_2Ec_2Ehrat_2Ehrat__mul_2E2,type,
mono_2Ec_2Ehrat_2Ehrat__mul_2E2: ( mono_2Etyop_2Ehrat_2Ehrat * mono_2Etyop_2Ehrat_2Ehrat ) > mono_2Etyop_2Ehrat_2Ehrat ).
tff(mono_2Ec_2Ehreal_2Ehreal_2E0,type,
mono_2Ec_2Ehreal_2Ehreal_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29 ).
tff(mono_2Ec_2Ehreal_2Ehreal_2E1,type,
mono_2Ec_2Ehreal_2Ehreal_2E1: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29 > mono_2Etyop_2Ehreal_2Ehreal ).
tff(mono_2Ec_2Ehreal_2Ehreal__1_2E0,type,
mono_2Ec_2Ehreal_2Ehreal__1_2E0: mono_2Etyop_2Ehreal_2Ehreal ).
tff(mono_2Ec_2Ehreal_2Ehreal__add_2E0,type,
mono_2Ec_2Ehreal_2Ehreal__add_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 ).
tff(mono_2Ec_2Ehreal_2Ehreal__add_2E2,type,
mono_2Ec_2Ehreal_2Ehreal__add_2E2: ( mono_2Etyop_2Ehreal_2Ehreal * mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Ehreal_2Ehreal ).
tff(mono_2Ec_2Ehreal_2Ehreal__inv_2E0,type,
mono_2Ec_2Ehreal_2Ehreal__inv_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
tff(mono_2Ec_2Ehreal_2Ehreal__inv_2E1,type,
mono_2Ec_2Ehreal_2Ehreal__inv_2E1: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal ).
tff(mono_2Ec_2Ehreal_2Ehreal__lt_2E0,type,
mono_2Ec_2Ehreal_2Ehreal__lt_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29 ).
tff(mono_2Ec_2Ehreal_2Ehreal__lt_2E2,type,
mono_2Ec_2Ehreal_2Ehreal__lt_2E2: ( mono_2Etyop_2Ehreal_2Ehreal * mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Emin_2Ebool ).
tff(mono_2Ec_2Ehreal_2Ehreal__mul_2E0,type,
mono_2Ec_2Ehreal_2Ehreal__mul_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 ).
tff(mono_2Ec_2Ehreal_2Ehreal__mul_2E2,type,
mono_2Ec_2Ehreal_2Ehreal__mul_2E2: ( mono_2Etyop_2Ehreal_2Ehreal * mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Ehreal_2Ehreal ).
tff(mono_2Ec_2Ehreal_2Ehreal__sub_2E0,type,
mono_2Ec_2Ehreal_2Ehreal__sub_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 ).
tff(mono_2Ec_2Ehreal_2Ehreal__sub_2E2,type,
mono_2Ec_2Ehreal_2Ehreal__sub_2E2: ( mono_2Etyop_2Ehreal_2Ehreal * mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Ehreal_2Ehreal ).
tff(mono_2Ec_2Ehreal_2Ehreal__sup_2E0,type,
mono_2Ec_2Ehreal_2Ehreal__sup_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29 ).
tff(mono_2Ec_2Ehreal_2Ehreal__sup_2E1,type,
mono_2Ec_2Ehreal_2Ehreal__sup_2E1: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29 > mono_2Etyop_2Ehreal_2Ehreal ).
tff(mono_2Ec_2Ehreal_2Eisacut_2E0,type,
mono_2Ec_2Ehreal_2Eisacut_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 ).
tff(mono_2Ec_2Ehreal_2Eisacut_2E1,type,
mono_2Ec_2Ehreal_2Eisacut_2E1: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29 > mono_2Etyop_2Emin_2Ebool ).
tff(mono_2Ec_2Ebool_2E_7E_2E0,type,
mono_2Ec_2Ebool_2E_7E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(mono_2Ec_2Ebool_2E_7E_2E1,type,
mono_2Ec_2Ebool_2E_7E_2E1: mono_2Etyop_2Emin_2Ebool > mono_2Etyop_2Emin_2Ebool ).
tff(i_mono_2Etyop_2Emin_2Ebool,type,
i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).
tff(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: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 > u ).
tff(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: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 > u ).
tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 > u ).
tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 > u ).
tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29 > u ).
tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29 > u ).
tff(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_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29 > u ).
tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 > u ).
tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29 > u ).
tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29 > u ).
tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29_29 > u ).
tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29 > u ).
tff(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_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29 > u ).
tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29 > u ).
tff(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_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29 > u ).
tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_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_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_29 > u ).
tff(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_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 > u ).
tff(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_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > u ).
tff(i_mono_2Etyop_2Ehrat_2Ehrat,type,
i_mono_2Etyop_2Ehrat_2Ehrat: mono_2Etyop_2Ehrat_2Ehrat > u ).
tff(i_mono_2Etyop_2Ehreal_2Ehreal,type,
i_mono_2Etyop_2Ehreal_2Ehreal: mono_2Etyop_2Ehreal_2Ehreal > u ).
tff(j_mono_2Etyop_2Emin_2Ebool,type,
j_mono_2Etyop_2Emin_2Ebool: du > mono_2Etyop_2Emin_2Ebool ).
tff(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 > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(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 > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 ).
tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 ).
tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29 ).
tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29 ).
tff(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_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29 ).
tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 ).
tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29 ).
tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29 ).
tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29_29 ).
tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29 ).
tff(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_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29 ).
tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29 ).
tff(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_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29 ).
tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_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_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_29 ).
tff(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_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 ).
tff(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_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).
tff(j_mono_2Etyop_2Ehrat_2Ehrat,type,
j_mono_2Etyop_2Ehrat_2Ehrat: du > mono_2Etyop_2Ehrat_2Ehrat ).
tff(j_mono_2Etyop_2Ehreal_2Ehreal,type,
j_mono_2Etyop_2Ehreal_2Ehreal: du > mono_2Etyop_2Ehreal_2Ehreal ).
tff(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) ) ) ).
tff(reserved_2Eho_2Eboolext,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Ebool,V1_2E0: mono_2Etyop_2Emin_2Ebool] :
( ( p(V0_2E0)
<=> p(V1_2E0) )
=> ( V0_2E0 = V1_2E0 ) ) ).
tff(reserved_2Eho_2Etruth,axiom,
p(mono_2Ec_2Ebool_2ET_2E0) ).
tff(reserved_2Eho_2Enotfalse,axiom,
~ p(mono_2Ec_2Ebool_2EF_2E0) ).
tff(reserved_2Eho_2Ebool__cases__ax,axiom,
! [V0t_2E0: mono_2Etyop_2Emin_2Ebool] :
( ( V0t_2E0 = mono_2Ec_2Ebool_2ET_2E0 )
| ( V0t_2E0 = mono_2Ec_2Ebool_2EF_2E0 ) ) ).
tff(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) ) ).
tff(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) ) ).
tff(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))))) ) ).
tff(reserved_2Elogic_2E_2F_5C,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Ebool,V1_2E0: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Ebool_2E_2F_5C_2E2(V0_2E0,V1_2E0))
<=> ( p(V0_2E0)
& p(V1_2E0) ) ) ).
tff(reserved_2Elogic_2E_5C_2F,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Ebool,V1_2E0: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Ebool_2E_5C_2F_2E2(V0_2E0,V1_2E0))
<=> ( p(V0_2E0)
| p(V1_2E0) ) ) ).
tff(reserved_2Elogic_2E_7E,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Ebool_2E_7E_2E1(V0_2E0))
<=> ~ p(V0_2E0) ) ).
tff(reserved_2Elogic_2E_3D_3D_3E,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Ebool,V1_2E0: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Emin_2E_3D_3D_3E_2E2(V0_2E0,V1_2E0))
<=> ( p(V0_2E0)
=> p(V1_2E0) ) ) ).
tff(reserved_2Elogic_2E_3D,axiom,
! [A_27a: d,V0_2E0: u,V1_2E0: u] :
( p(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) ) ) ).
tff(reserved_2Equant_2E_21,axiom,
! [A_27a: d,V0f_2E0: u] :
( p(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] : p(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))))) ) ).
tff(reserved_2Equant_2E_3F,axiom,
! [A_27a: d,V0f_2E0: u] :
( p(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] : p(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))))) ) ).
tff(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) ) ).
tff(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) ) ).
tff(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) ) ).
tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_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_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool)),V0_2E0) ) ).
tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V0_2E0) ) ).
tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),tyop_2Ehreal_2Ehreal),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),tyop_2Ehreal_2Ehreal),V0_2E0) ) ).
tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),V0_2E0) ) ).
tff(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) ) ).
tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),V0_2E0) ) ).
tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),V0_2E0) ) ).
tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),V0_2E0) ) ).
tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29_29,axiom,
! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Ehrat_2Ehrat)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29_29(s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Ehrat_2Ehrat)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Ehrat_2Ehrat)),V0_2E0) ) ).
tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29,axiom,
! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Ehrat_2Ehrat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29(s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Ehrat_2Ehrat),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Ehrat_2Ehrat),V0_2E0) ) ).
tff(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) ) ).
tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),V0_2E0) ) ).
tff(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) ) ).
tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_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_2Ehrat_2Ehrat,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_29(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool))),V0_2E0) ) ).
tff(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) ) ).
tff(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) ) ).
tff(ij_2Emono_2Etyop_2Ehrat_2Ehrat,axiom,
! [V0_2E0: u] : ( s(tyop_2Ehrat_2Ehrat,i_mono_2Etyop_2Ehrat_2Ehrat(j_mono_2Etyop_2Ehrat_2Ehrat(s(tyop_2Ehrat_2Ehrat,V0_2E0)))) = s(tyop_2Ehrat_2Ehrat,V0_2E0) ) ).
tff(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) ) ).
tff(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Ebool] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(V0_2E0))) = V0_2E0 ) ).
tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: 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),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).
tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: 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)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ) ).
tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ) ).
tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).
tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29(V0_2E0))) = V0_2E0 ) ).
tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ) ).
tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0_2E0: 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),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29(V0_2E0))) = V0_2E0 ) ).
tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).
tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).
tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ) ).
tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29_29,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29_29(s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Ehrat_2Ehrat)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29_29(V0_2E0))) = V0_2E0 ) ).
tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29(s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Ehrat_2Ehrat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29(V0_2E0))) = V0_2E0 ) ).
tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: 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),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).
tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ) ).
tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: 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)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ) ).
tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_29(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_29(V0_2E0))) = V0_2E0 ) ).
tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
! [V0_2E0: 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)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(V0_2E0))) = V0_2E0 ) ).
tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0_2E0: 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),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(V0_2E0))) = V0_2E0 ) ).
tff(ji_2Emono_2Etyop_2Ehrat_2Ehrat,axiom,
! [V0_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( j_mono_2Etyop_2Ehrat_2Ehrat(s(tyop_2Ehrat_2Ehrat,i_mono_2Etyop_2Ehrat_2Ehrat(V0_2E0))) = V0_2E0 ) ).
tff(ji_2Emono_2Etyop_2Ehreal_2Ehreal,axiom,
! [V0_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( j_mono_2Etyop_2Ehreal_2Ehreal(s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(V0_2E0))) = V0_2E0 ) ).
tff(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)))) ) ).
tff(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2,axiom,
! [X0_2E0: mono_2Etyop_2Emin_2Ebool,X1_2E0: mono_2Etyop_2Emin_2Ebool] :
( ( p(X0_2E0)
& p(X1_2E0) )
<=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_2F_5C_2E0,X0_2E0),X1_2E0)) ) ).
tff(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) )
<=> p(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))))) ) ).
tff(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2,axiom,
! [X0_2E0: mono_2Etyop_2Emin_2Ebool,X1_2E0: mono_2Etyop_2Emin_2Ebool] :
( ( p(X0_2E0)
=> p(X1_2E0) )
<=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Emin_2E_3D_3D_3E_2E0,X0_2E0),X1_2E0)) ) ).
tff(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)))) ) ).
tff(arityeq2_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal,axiom,
! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,X1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29] : ( mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal,X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2,axiom,
! [X0_2E0: mono_2Etyop_2Emin_2Ebool,X1_2E0: mono_2Etyop_2Emin_2Ebool] :
( ( p(X0_2E0)
| p(X1_2E0) )
<=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_5C_2F_2E0,X0_2E0),X1_2E0)) ) ).
tff(arityeq1_2Ec_2Ehreal_2Ecut_2E1,axiom,
! [X0_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ecut_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ehreal_2Ecut_2E0,X0_2E0) ) ).
tff(arityeq2_2Ec_2Ehreal_2Ecut_2E2,axiom,
! [X0_2E0: mono_2Etyop_2Ehreal_2Ehreal,X1_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( mono_2Ec_2Ehreal_2Ecut_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ehreal_2Ecut_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq1_2Ec_2Ehreal_2Ecut__of__hrat_2E1,axiom,
! [X0_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( mono_2Ec_2Ehreal_2Ecut__of__hrat_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ehreal_2Ecut__of__hrat_2E0,X0_2E0) ) ).
tff(arityeq2_2Ec_2Ehreal_2Ecut__of__hrat_2E2,axiom,
! [X0_2E0: mono_2Etyop_2Ehrat_2Ehrat,X1_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( mono_2Ec_2Ehreal_2Ecut__of__hrat_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ehreal_2Ecut__of__hrat_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ehrat_2Ehrat__add_2E2,axiom,
! [X0_2E0: mono_2Etyop_2Ehrat_2Ehrat,X1_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( mono_2Ec_2Ehrat_2Ehrat__add_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Ehrat_2Ehrat(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29(mono_2Ec_2Ehrat_2Ehrat__add_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq1_2Ec_2Ehrat_2Ehrat__inv_2E1,axiom,
! [X0_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( mono_2Ec_2Ehrat_2Ehrat__inv_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Ehrat_2Ehrat(mono_2Ec_2Ehrat_2Ehrat__inv_2E0,X0_2E0) ) ).
tff(arityeq2_2Ec_2Ehreal_2Ehrat__lt_2E2,axiom,
! [X0_2E0: mono_2Etyop_2Ehrat_2Ehrat,X1_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( mono_2Ec_2Ehreal_2Ehrat__lt_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ehreal_2Ehrat__lt_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ehrat_2Ehrat__mul_2E2,axiom,
! [X0_2E0: mono_2Etyop_2Ehrat_2Ehrat,X1_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( mono_2Ec_2Ehrat_2Ehrat__mul_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Ehrat_2Ehrat(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29(mono_2Ec_2Ehrat_2Ehrat__mul_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq1_2Ec_2Ehreal_2Ehreal_2E1,axiom,
! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29] : ( mono_2Ec_2Ehreal_2Ehreal_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal(mono_2Ec_2Ehreal_2Ehreal_2E0,X0_2E0) ) ).
tff(arityeq2_2Ec_2Ehreal_2Ehreal__add_2E2,axiom,
! [X0_2E0: mono_2Etyop_2Ehreal_2Ehreal,X1_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__add_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Ec_2Ehreal_2Ehreal__add_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq1_2Ec_2Ehreal_2Ehreal__inv_2E1,axiom,
! [X0_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__inv_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(mono_2Ec_2Ehreal_2Ehreal__inv_2E0,X0_2E0) ) ).
tff(arityeq2_2Ec_2Ehreal_2Ehreal__lt_2E2,axiom,
! [X0_2E0: mono_2Etyop_2Ehreal_2Ehreal,X1_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__lt_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ehreal_2Ehreal__lt_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ehreal_2Ehreal__mul_2E2,axiom,
! [X0_2E0: mono_2Etyop_2Ehreal_2Ehreal,X1_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__mul_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Ec_2Ehreal_2Ehreal__mul_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq2_2Ec_2Ehreal_2Ehreal__sub_2E2,axiom,
! [X0_2E0: mono_2Etyop_2Ehreal_2Ehreal,X1_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__sub_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Ec_2Ehreal_2Ehreal__sub_2E0,X0_2E0),X1_2E0) ) ).
tff(arityeq1_2Ec_2Ehreal_2Ehreal__sup_2E1,axiom,
! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29] : ( mono_2Ec_2Ehreal_2Ehreal__sup_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal(mono_2Ec_2Ehreal_2Ehreal__sup_2E0,X0_2E0) ) ).
tff(arityeq1_2Ec_2Ehreal_2Eisacut_2E1,axiom,
! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29] : ( mono_2Ec_2Ehreal_2Eisacut_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ehreal_2Eisacut_2E0,X0_2E0) ) ).
tff(arityeq1_2Ec_2Ebool_2E_7E_2E1,axiom,
! [X0_2E0: mono_2Etyop_2Emin_2Ebool] :
( ~ p(X0_2E0)
<=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2E_7E_2E0,X0_2E0)) ) ).
tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Ebool] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = 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_2E0)),s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(V1_2E0)))) ) ).
tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Emin_2Ebool] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = 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_2E0)),s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(V1_2E0)))) ) ).
tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ) ).
tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ) ).
tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29] : ( s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal(V0_2E0,V1_2E0))) = s(tyop_2Ehreal_2Ehreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ) ).
tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29] : ( s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ) ).
tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29] : ( s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal(V0_2E0,V1_2E0))) = 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_2E0)),s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ) ).
tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(V1_2E0)))) ) ).
tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Ehrat_2Ehrat,i_mono_2Etyop_2Ehrat_2Ehrat(V1_2E0)))) ) ).
tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Ehrat_2Ehrat,i_mono_2Etyop_2Ehrat_2Ehrat(V1_2E0)))) ) ).
tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29_29,V1_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Ehrat_2Ehrat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Ehrat_2Ehrat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Ehrat_2Ehrat)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29_29(V0_2E0)),s(tyop_2Ehrat_2Ehrat,i_mono_2Etyop_2Ehrat_2Ehrat(V1_2E0)))) ) ).
tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Ehrat_2Ehrat,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29,V1_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( s(tyop_2Ehrat_2Ehrat,i_mono_2Etyop_2Ehrat_2Ehrat(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Ehrat_2Ehrat(V0_2E0,V1_2E0))) = s(tyop_2Ehrat_2Ehrat,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Ehrat_2Ehrat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Ehrat_2Ehrat_29(V0_2E0)),s(tyop_2Ehrat_2Ehrat,i_mono_2Etyop_2Ehrat_2Ehrat(V1_2E0)))) ) ).
tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Ebool,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = 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_2E0)),s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(V1_2E0)))) ) ).
tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(V1_2E0)))) ) ).
tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: 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(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = 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_2E0)),s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(V1_2E0)))) ) ).
tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_29,V1_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_29(V0_2E0)),s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(V1_2E0)))) ) ).
tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,V1_2E0: 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(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(V0_2E0,V1_2E0))) = 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_2E0)),s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(V1_2E0)))) ) ).
tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(V0_2E0,V1_2E0))) = 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_2E0)),s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(V1_2E0)))) ) ).
tff(monoeq_2Emono_2Ec_2Ebool_2ETYPE__DEFINITION_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal,axiom,
s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool)),c_2Ebool_2ETYPE__DEFINITION_2E0) ).
tff(monoeq_2Emono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal,axiom,
! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehrat_2Ehrat,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(V1_2E0)))) ) ).
tff(thm_2Ehreal_2Ehrat__lt,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V0x_2E0,V1y_2E0))
<=> ? [V2d_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( V1y_2E0 = mono_2Ec_2Ehrat_2Ehrat__add_2E2(V0x_2E0,V2d_2E0) ) ) ).
tff(thm_2Ehreal_2Eisacut,axiom,
! [V0C_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29] :
( p(mono_2Ec_2Ehreal_2Eisacut_2E1(V0C_2E0))
<=> ( ? [V1x_2E0: mono_2Etyop_2Ehrat_2Ehrat] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Ebool(V0C_2E0,V1x_2E0))
& ? [V2x_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Ebool(V0C_2E0,V2x_2E0))
& ! [V3x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V4y_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Ebool(V0C_2E0,V3x_2E0))
& p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V4y_2E0,V3x_2E0)) )
=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Ebool(V0C_2E0,V4y_2E0)) )
& ! [V5x_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Ebool(V0C_2E0,V5x_2E0))
=> ? [V6y_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Ebool(V0C_2E0,V6y_2E0))
& p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V5x_2E0,V6y_2E0)) ) ) ) ) ).
tff(thm_2Ehreal_2Ecut__of__hrat,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1x_27_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( mono_2Ec_2Ehreal_2Ecut__of__hrat_2E2(V0x_2E0,V1x_27_2E0) = mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V1x_27_2E0,V0x_2E0) ) ).
tff(thm_2Ehreal_2Ehreal__TY__DEF,axiom,
? [V0rep_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29] : p(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal(mono_2Ec_2Ehreal_2Eisacut_2E0,V0rep_2E0)) ).
tff(thm_2Ehreal_2Ehreal__tybij,axiom,
( ! [V0a_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal_2E1(mono_2Ec_2Ehreal_2Ecut_2E1(V0a_2E0)) = V0a_2E0 )
& ! [V1r_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29] :
( p(mono_2Ec_2Ehreal_2Eisacut_2E1(V1r_2E0))
<=> ( mono_2Ec_2Ehreal_2Ecut_2E1(mono_2Ec_2Ehreal_2Ehreal_2E1(V1r_2E0)) = V1r_2E0 ) ) ) ).
tff(thm_2Ehreal_2Ehreal__1,axiom,
mono_2Ec_2Ehreal_2Ehreal__1_2E0 = mono_2Ec_2Ehreal_2Ehreal_2E1(mono_2Ec_2Ehreal_2Ecut__of__hrat_2E1(mono_2Ec_2Ehrat_2Ehrat__1_2E0)) ).
tff(thm_2Ehreal_2Ehreal__add,axiom,
! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_29] :
( ! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1Y_2E0: mono_2Etyop_2Ehreal_2Ehreal,V2w_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(F0_2E0,V0X_2E0),V1Y_2E0),V2w_2E0))
<=> ? [V3x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V4y_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( ( V2w_2E0 = mono_2Ec_2Ehrat_2Ehrat__add_2E2(V3x_2E0,V4y_2E0) )
& p(mono_2Ec_2Ehreal_2Ecut_2E2(V0X_2E0,V3x_2E0))
& p(mono_2Ec_2Ehreal_2Ecut_2E2(V1Y_2E0,V4y_2E0)) ) )
=> ! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1Y_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__add_2E2(V0X_2E0,V1Y_2E0) = mono_2Ec_2Ehreal_2Ehreal_2E1(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(F0_2E0,V0X_2E0),V1Y_2E0)) ) ) ).
tff(thm_2Ehreal_2Ehreal__mul,axiom,
! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_29] :
( ! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1Y_2E0: mono_2Etyop_2Ehreal_2Ehreal,V2w_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(F0_2E0,V0X_2E0),V1Y_2E0),V2w_2E0))
<=> ? [V3x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V4y_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( ( V2w_2E0 = mono_2Ec_2Ehrat_2Ehrat__mul_2E2(V3x_2E0,V4y_2E0) )
& p(mono_2Ec_2Ehreal_2Ecut_2E2(V0X_2E0,V3x_2E0))
& p(mono_2Ec_2Ehreal_2Ecut_2E2(V1Y_2E0,V4y_2E0)) ) )
=> ! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1Y_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__mul_2E2(V0X_2E0,V1Y_2E0) = mono_2Ec_2Ehreal_2Ehreal_2E1(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(F0_2E0,V0X_2E0),V1Y_2E0)) ) ) ).
tff(thm_2Ehreal_2Ehreal__inv,axiom,
! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29] :
( ! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1w_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(F0_2E0,V0X_2E0),V1w_2E0))
<=> ? [V2d_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V2d_2E0,mono_2Ec_2Ehrat_2Ehrat__1_2E0))
& ! [V3x_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Ec_2Ehreal_2Ecut_2E2(V0X_2E0,V3x_2E0))
=> p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(mono_2Ec_2Ehrat_2Ehrat__mul_2E2(V1w_2E0,V3x_2E0),V2d_2E0)) ) ) )
=> ! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__inv_2E1(V0X_2E0) = mono_2Ec_2Ehreal_2Ehreal_2E1(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(F0_2E0,V0X_2E0)) ) ) ).
tff(thm_2Ehreal_2Ehreal__sup,axiom,
! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29] :
( ! [V0P_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29,V1w_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(F0_2E0,V0P_2E0),V1w_2E0))
<=> ? [V2X_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,V2X_2E0))
& p(mono_2Ec_2Ehreal_2Ecut_2E2(V2X_2E0,V1w_2E0)) ) )
=> ! [V0P_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29] : ( mono_2Ec_2Ehreal_2Ehreal__sup_2E1(V0P_2E0) = mono_2Ec_2Ehreal_2Ehreal_2E1(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(F0_2E0,V0P_2E0)) ) ) ).
tff(thm_2Ehreal_2Ehreal__lt,axiom,
! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1Y_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
( p(mono_2Ec_2Ehreal_2Ehreal__lt_2E2(V0X_2E0,V1Y_2E0))
<=> ( ( V0X_2E0 != V1Y_2E0 )
& ! [V2x_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Ec_2Ehreal_2Ecut_2E2(V0X_2E0,V2x_2E0))
=> p(mono_2Ec_2Ehreal_2Ecut_2E2(V1Y_2E0,V2x_2E0)) ) ) ) ).
tff(thm_2Ehreal_2Ehreal__sub,axiom,
! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_29] :
( ! [V1X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V0Y_2E0: mono_2Etyop_2Ehreal_2Ehreal,V2w_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(F0_2E0,V1X_2E0),V0Y_2E0),V2w_2E0))
<=> ? [V3x_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( ~ p(mono_2Ec_2Ehreal_2Ecut_2E2(V1X_2E0,V3x_2E0))
& p(mono_2Ec_2Ehreal_2Ecut_2E2(V0Y_2E0,mono_2Ec_2Ehrat_2Ehrat__add_2E2(V3x_2E0,V2w_2E0))) ) )
=> ! [V0Y_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1X_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__sub_2E2(V0Y_2E0,V1X_2E0) = mono_2Ec_2Ehreal_2Ehreal_2E1(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(F0_2E0,V1X_2E0),V0Y_2E0)) ) ) ).
tff(thm_2Ehreal_2EHRAT__LT__REFL,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ~ p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V0x_2E0,V0x_2E0)) ).
tff(thm_2Ehreal_2EHRAT__LT__TRANS,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat,V2z_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( ( p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V0x_2E0,V1y_2E0))
& p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V1y_2E0,V2z_2E0)) )
=> p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V0x_2E0,V2z_2E0)) ) ).
tff(thm_2Ehreal_2EHRAT__LT__ANTISYM,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
~ ( p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V0x_2E0,V1y_2E0))
& p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V1y_2E0,V0x_2E0)) ) ).
tff(thm_2Ehreal_2EHRAT__LT__TOTAL,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( ( V0x_2E0 = V1y_2E0 )
| p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V0x_2E0,V1y_2E0))
| p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V1y_2E0,V0x_2E0)) ) ).
tff(thm_2Ehreal_2EHRAT__MUL__RID,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( mono_2Ec_2Ehrat_2Ehrat__mul_2E2(V0x_2E0,mono_2Ec_2Ehrat_2Ehrat__1_2E0) = V0x_2E0 ) ).
tff(thm_2Ehreal_2EHRAT__MUL__RINV,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( mono_2Ec_2Ehrat_2Ehrat__mul_2E2(V0x_2E0,mono_2Ec_2Ehrat_2Ehrat__inv_2E1(V0x_2E0)) = mono_2Ec_2Ehrat_2Ehrat__1_2E0 ) ).
tff(thm_2Ehreal_2EHRAT__RDISTRIB,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat,V2z_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( mono_2Ec_2Ehrat_2Ehrat__mul_2E2(mono_2Ec_2Ehrat_2Ehrat__add_2E2(V0x_2E0,V1y_2E0),V2z_2E0) = mono_2Ec_2Ehrat_2Ehrat__add_2E2(mono_2Ec_2Ehrat_2Ehrat__mul_2E2(V0x_2E0,V2z_2E0),mono_2Ec_2Ehrat_2Ehrat__mul_2E2(V1y_2E0,V2z_2E0)) ) ).
tff(thm_2Ehreal_2EHRAT__LT__ADDL,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat] : p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V0x_2E0,mono_2Ec_2Ehrat_2Ehrat__add_2E2(V0x_2E0,V1y_2E0))) ).
tff(thm_2Ehreal_2EHRAT__LT__ADDR,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat] : p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V1y_2E0,mono_2Ec_2Ehrat_2Ehrat__add_2E2(V0x_2E0,V1y_2E0))) ).
tff(thm_2Ehreal_2EHRAT__LT__GT,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V0x_2E0,V1y_2E0))
=> ~ p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V1y_2E0,V0x_2E0)) ) ).
tff(thm_2Ehreal_2EHRAT__LT__NE,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V0x_2E0,V1y_2E0))
=> ( V0x_2E0 != V1y_2E0 ) ) ).
tff(thm_2Ehreal_2EHRAT__EQ__LADD,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat,V2z_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( ( mono_2Ec_2Ehrat_2Ehrat__add_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2Ehrat_2Ehrat__add_2E2(V0x_2E0,V2z_2E0) )
<=> ( V1y_2E0 = V2z_2E0 ) ) ).
tff(thm_2Ehreal_2EHRAT__EQ__LMUL,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat,V2z_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( ( mono_2Ec_2Ehrat_2Ehrat__mul_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2Ehrat_2Ehrat__mul_2E2(V0x_2E0,V2z_2E0) )
<=> ( V1y_2E0 = V2z_2E0 ) ) ).
tff(thm_2Ehreal_2EHRAT__LT__ADD2,axiom,
! [V0u_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1v_2E0: mono_2Etyop_2Ehrat_2Ehrat,V2x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V3y_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( ( p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V0u_2E0,V2x_2E0))
& p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V1v_2E0,V3y_2E0)) )
=> p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(mono_2Ec_2Ehrat_2Ehrat__add_2E2(V0u_2E0,V1v_2E0),mono_2Ec_2Ehrat_2Ehrat__add_2E2(V2x_2E0,V3y_2E0))) ) ).
tff(thm_2Ehreal_2EHRAT__LT__LADD,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat,V2z_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( mono_2Ec_2Ehreal_2Ehrat__lt_2E2(mono_2Ec_2Ehrat_2Ehrat__add_2E2(V2z_2E0,V0x_2E0),mono_2Ec_2Ehrat_2Ehrat__add_2E2(V2z_2E0,V1y_2E0)) = mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V0x_2E0,V1y_2E0) ) ).
tff(thm_2Ehreal_2EHRAT__LT__RADD,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat,V2z_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( mono_2Ec_2Ehreal_2Ehrat__lt_2E2(mono_2Ec_2Ehrat_2Ehrat__add_2E2(V0x_2E0,V2z_2E0),mono_2Ec_2Ehrat_2Ehrat__add_2E2(V1y_2E0,V2z_2E0)) = mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V0x_2E0,V1y_2E0) ) ).
tff(thm_2Ehreal_2EHRAT__LT__MUL2,axiom,
! [V0u_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1v_2E0: mono_2Etyop_2Ehrat_2Ehrat,V2x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V3y_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( ( p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V0u_2E0,V2x_2E0))
& p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V1v_2E0,V3y_2E0)) )
=> p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(mono_2Ec_2Ehrat_2Ehrat__mul_2E2(V0u_2E0,V1v_2E0),mono_2Ec_2Ehrat_2Ehrat__mul_2E2(V2x_2E0,V3y_2E0))) ) ).
tff(thm_2Ehreal_2EHRAT__LT__LMUL,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat,V2z_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( mono_2Ec_2Ehreal_2Ehrat__lt_2E2(mono_2Ec_2Ehrat_2Ehrat__mul_2E2(V2z_2E0,V0x_2E0),mono_2Ec_2Ehrat_2Ehrat__mul_2E2(V2z_2E0,V1y_2E0)) = mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V0x_2E0,V1y_2E0) ) ).
tff(thm_2Ehreal_2EHRAT__LT__RMUL,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat,V2z_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( mono_2Ec_2Ehreal_2Ehrat__lt_2E2(mono_2Ec_2Ehrat_2Ehrat__mul_2E2(V0x_2E0,V2z_2E0),mono_2Ec_2Ehrat_2Ehrat__mul_2E2(V1y_2E0,V2z_2E0)) = mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V0x_2E0,V1y_2E0) ) ).
tff(thm_2Ehreal_2EHRAT__LT__LMUL1,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( mono_2Ec_2Ehreal_2Ehrat__lt_2E2(mono_2Ec_2Ehrat_2Ehrat__mul_2E2(V0x_2E0,V1y_2E0),V1y_2E0) = mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V0x_2E0,mono_2Ec_2Ehrat_2Ehrat__1_2E0) ) ).
tff(thm_2Ehreal_2EHRAT__LT__RMUL1,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( mono_2Ec_2Ehreal_2Ehrat__lt_2E2(mono_2Ec_2Ehrat_2Ehrat__mul_2E2(V0x_2E0,V1y_2E0),V0x_2E0) = mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V1y_2E0,mono_2Ec_2Ehrat_2Ehrat__1_2E0) ) ).
tff(thm_2Ehreal_2EHRAT__GT__LMUL1,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V1y_2E0,mono_2Ec_2Ehrat_2Ehrat__mul_2E2(V0x_2E0,V1y_2E0)) = mono_2Ec_2Ehreal_2Ehrat__lt_2E2(mono_2Ec_2Ehrat_2Ehrat__1_2E0,V0x_2E0) ) ).
tff(thm_2Ehreal_2EHRAT__LT__L1,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( mono_2Ec_2Ehreal_2Ehrat__lt_2E2(mono_2Ec_2Ehrat_2Ehrat__mul_2E2(mono_2Ec_2Ehrat_2Ehrat__inv_2E1(V0x_2E0),V1y_2E0),mono_2Ec_2Ehrat_2Ehrat__1_2E0) = mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V1y_2E0,V0x_2E0) ) ).
tff(thm_2Ehreal_2EHRAT__LT__R1,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( mono_2Ec_2Ehreal_2Ehrat__lt_2E2(mono_2Ec_2Ehrat_2Ehrat__mul_2E2(V0x_2E0,mono_2Ec_2Ehrat_2Ehrat__inv_2E1(V1y_2E0)),mono_2Ec_2Ehrat_2Ehrat__1_2E0) = mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V0x_2E0,V1y_2E0) ) ).
tff(thm_2Ehreal_2EHRAT__GT__L1,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( mono_2Ec_2Ehreal_2Ehrat__lt_2E2(mono_2Ec_2Ehrat_2Ehrat__1_2E0,mono_2Ec_2Ehrat_2Ehrat__mul_2E2(mono_2Ec_2Ehrat_2Ehrat__inv_2E1(V0x_2E0),V1y_2E0)) = mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V0x_2E0,V1y_2E0) ) ).
tff(thm_2Ehreal_2EHRAT__INV__MUL,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ( mono_2Ec_2Ehrat_2Ehrat__inv_2E1(mono_2Ec_2Ehrat_2Ehrat__mul_2E2(V0x_2E0,V1y_2E0)) = mono_2Ec_2Ehrat_2Ehrat__mul_2E2(mono_2Ec_2Ehrat_2Ehrat__inv_2E1(V0x_2E0),mono_2Ec_2Ehrat_2Ehrat__inv_2E1(V1y_2E0)) ) ).
tff(thm_2Ehreal_2EHRAT__UP,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
? [V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat] : p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V0x_2E0,V1y_2E0)) ).
tff(thm_2Ehreal_2EHRAT__DOWN,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
? [V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat] : p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V1y_2E0,V0x_2E0)) ).
tff(thm_2Ehreal_2EHRAT__DOWN2,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
? [V2z_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V2z_2E0,V0x_2E0))
& p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V2z_2E0,V1y_2E0)) ) ).
tff(thm_2Ehreal_2EHRAT__MEAN,axiom,
! [V0x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V1y_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V0x_2E0,V1y_2E0))
=> ? [V2z_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V0x_2E0,V2z_2E0))
& p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V2z_2E0,V1y_2E0)) ) ) ).
tff(thm_2Ehreal_2EISACUT__HRAT,axiom,
! [V0h_2E0: mono_2Etyop_2Ehrat_2Ehrat] : p(mono_2Ec_2Ehreal_2Eisacut_2E1(mono_2Ec_2Ehreal_2Ecut__of__hrat_2E1(V0h_2E0))) ).
tff(thm_2Ehreal_2EEQUAL__CUTS,axiom,
! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1Y_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
( ( mono_2Ec_2Ehreal_2Ecut_2E1(V0X_2E0) = mono_2Ec_2Ehreal_2Ecut_2E1(V1Y_2E0) )
=> ( V0X_2E0 = V1Y_2E0 ) ) ).
tff(thm_2Ehreal_2ECUT__ISACUT,axiom,
! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal] : p(mono_2Ec_2Ehreal_2Eisacut_2E1(mono_2Ec_2Ehreal_2Ecut_2E1(V0X_2E0))) ).
tff(thm_2Ehreal_2ECUT__NONEMPTY,axiom,
! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
? [V1x_2E0: mono_2Etyop_2Ehrat_2Ehrat] : p(mono_2Ec_2Ehreal_2Ecut_2E2(V0X_2E0,V1x_2E0)) ).
tff(thm_2Ehreal_2ECUT__BOUNDED,axiom,
! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
? [V1x_2E0: mono_2Etyop_2Ehrat_2Ehrat] : ~ p(mono_2Ec_2Ehreal_2Ecut_2E2(V0X_2E0,V1x_2E0)) ).
tff(thm_2Ehreal_2ECUT__DOWN,axiom,
! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V2y_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( ( p(mono_2Ec_2Ehreal_2Ecut_2E2(V0X_2E0,V1x_2E0))
& p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V2y_2E0,V1x_2E0)) )
=> p(mono_2Ec_2Ehreal_2Ecut_2E2(V0X_2E0,V2y_2E0)) ) ).
tff(thm_2Ehreal_2ECUT__UP,axiom,
! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1x_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Ec_2Ehreal_2Ecut_2E2(V0X_2E0,V1x_2E0))
=> ? [V2y_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Ec_2Ehreal_2Ecut_2E2(V0X_2E0,V2y_2E0))
& p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V1x_2E0,V2y_2E0)) ) ) ).
tff(thm_2Ehreal_2ECUT__UBOUND,axiom,
! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V2y_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( ( ~ p(mono_2Ec_2Ehreal_2Ecut_2E2(V0X_2E0,V1x_2E0))
& p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V1x_2E0,V2y_2E0)) )
=> ~ p(mono_2Ec_2Ehreal_2Ecut_2E2(V0X_2E0,V2y_2E0)) ) ).
tff(thm_2Ehreal_2ECUT__STRADDLE,axiom,
! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V2y_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( ( p(mono_2Ec_2Ehreal_2Ecut_2E2(V0X_2E0,V1x_2E0))
& ~ p(mono_2Ec_2Ehreal_2Ecut_2E2(V0X_2E0,V2y_2E0)) )
=> p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V1x_2E0,V2y_2E0)) ) ).
tff(thm_2Ehreal_2ECUT__NEARTOP__ADD,axiom,
! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1e_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
? [V2x_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Ec_2Ehreal_2Ecut_2E2(V0X_2E0,V2x_2E0))
& ~ p(mono_2Ec_2Ehreal_2Ecut_2E2(V0X_2E0,mono_2Ec_2Ehrat_2Ehrat__add_2E2(V2x_2E0,V1e_2E0))) ) ).
tff(thm_2Ehreal_2ECUT__NEARTOP__MUL,axiom,
! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1u_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(mono_2Ec_2Ehrat_2Ehrat__1_2E0,V1u_2E0))
=> ? [V2x_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Ec_2Ehreal_2Ecut_2E2(V0X_2E0,V2x_2E0))
& ~ p(mono_2Ec_2Ehreal_2Ecut_2E2(V0X_2E0,mono_2Ec_2Ehrat_2Ehrat__mul_2E2(V1u_2E0,V2x_2E0))) ) ) ).
tff(thm_2Ehreal_2EHREAL__INV__ISACUT,axiom,
! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29] :
( ! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1w_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(F0_2E0,V0X_2E0),V1w_2E0))
<=> ? [V2d_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(V2d_2E0,mono_2Ec_2Ehrat_2Ehrat__1_2E0))
& ! [V3x_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Ec_2Ehreal_2Ecut_2E2(V0X_2E0,V3x_2E0))
=> p(mono_2Ec_2Ehreal_2Ehrat__lt_2E2(mono_2Ec_2Ehrat_2Ehrat__mul_2E2(V1w_2E0,V3x_2E0),V2d_2E0)) ) ) )
=> ! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal] : p(mono_2Ec_2Ehreal_2Eisacut_2E1(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(F0_2E0,V0X_2E0))) ) ).
tff(thm_2Ehreal_2EHREAL__ADD__ISACUT,axiom,
! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_29] :
( ! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1Y_2E0: mono_2Etyop_2Ehreal_2Ehreal,V2w_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(F0_2E0,V0X_2E0),V1Y_2E0),V2w_2E0))
<=> ? [V3x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V4y_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( ( V2w_2E0 = mono_2Ec_2Ehrat_2Ehrat__add_2E2(V3x_2E0,V4y_2E0) )
& p(mono_2Ec_2Ehreal_2Ecut_2E2(V0X_2E0,V3x_2E0))
& p(mono_2Ec_2Ehreal_2Ecut_2E2(V1Y_2E0,V4y_2E0)) ) )
=> ! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1Y_2E0: mono_2Etyop_2Ehreal_2Ehreal] : p(mono_2Ec_2Ehreal_2Eisacut_2E1(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(F0_2E0,V0X_2E0),V1Y_2E0))) ) ).
tff(thm_2Ehreal_2EHREAL__MUL__ISACUT,axiom,
! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_29] :
( ! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1Y_2E0: mono_2Etyop_2Ehreal_2Ehreal,V2w_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(F0_2E0,V0X_2E0),V1Y_2E0),V2w_2E0))
<=> ? [V3x_2E0: mono_2Etyop_2Ehrat_2Ehrat,V4y_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( ( V2w_2E0 = mono_2Ec_2Ehrat_2Ehrat__mul_2E2(V3x_2E0,V4y_2E0) )
& p(mono_2Ec_2Ehreal_2Ecut_2E2(V0X_2E0,V3x_2E0))
& p(mono_2Ec_2Ehreal_2Ecut_2E2(V1Y_2E0,V4y_2E0)) ) )
=> ! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1Y_2E0: mono_2Etyop_2Ehreal_2Ehreal] : p(mono_2Ec_2Ehreal_2Eisacut_2E1(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(F0_2E0,V0X_2E0),V1Y_2E0))) ) ).
tff(thm_2Ehreal_2EHREAL__ADD__SYM,axiom,
! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1Y_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__add_2E2(V0X_2E0,V1Y_2E0) = mono_2Ec_2Ehreal_2Ehreal__add_2E2(V1Y_2E0,V0X_2E0) ) ).
tff(thm_2Ehreal_2EHREAL__MUL__SYM,axiom,
! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1Y_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__mul_2E2(V0X_2E0,V1Y_2E0) = mono_2Ec_2Ehreal_2Ehreal__mul_2E2(V1Y_2E0,V0X_2E0) ) ).
tff(thm_2Ehreal_2EHREAL__ADD__ASSOC,axiom,
! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1Y_2E0: mono_2Etyop_2Ehreal_2Ehreal,V2Z_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__add_2E2(V0X_2E0,mono_2Ec_2Ehreal_2Ehreal__add_2E2(V1Y_2E0,V2Z_2E0)) = mono_2Ec_2Ehreal_2Ehreal__add_2E2(mono_2Ec_2Ehreal_2Ehreal__add_2E2(V0X_2E0,V1Y_2E0),V2Z_2E0) ) ).
tff(thm_2Ehreal_2EHREAL__MUL__ASSOC,axiom,
! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1Y_2E0: mono_2Etyop_2Ehreal_2Ehreal,V2Z_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__mul_2E2(V0X_2E0,mono_2Ec_2Ehreal_2Ehreal__mul_2E2(V1Y_2E0,V2Z_2E0)) = mono_2Ec_2Ehreal_2Ehreal__mul_2E2(mono_2Ec_2Ehreal_2Ehreal__mul_2E2(V0X_2E0,V1Y_2E0),V2Z_2E0) ) ).
tff(thm_2Ehreal_2EHREAL__LDISTRIB,axiom,
! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1Y_2E0: mono_2Etyop_2Ehreal_2Ehreal,V2Z_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__mul_2E2(V0X_2E0,mono_2Ec_2Ehreal_2Ehreal__add_2E2(V1Y_2E0,V2Z_2E0)) = mono_2Ec_2Ehreal_2Ehreal__add_2E2(mono_2Ec_2Ehreal_2Ehreal__mul_2E2(V0X_2E0,V1Y_2E0),mono_2Ec_2Ehreal_2Ehreal__mul_2E2(V0X_2E0,V2Z_2E0)) ) ).
tff(thm_2Ehreal_2EHREAL__MUL__LID,axiom,
! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__mul_2E2(mono_2Ec_2Ehreal_2Ehreal__1_2E0,V0X_2E0) = V0X_2E0 ) ).
tff(thm_2Ehreal_2EHREAL__MUL__LINV,axiom,
! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__mul_2E2(mono_2Ec_2Ehreal_2Ehreal__inv_2E1(V0X_2E0),V0X_2E0) = mono_2Ec_2Ehreal_2Ehreal__1_2E0 ) ).
tff(thm_2Ehreal_2EHREAL__NOZERO,axiom,
! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1Y_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__add_2E2(V0X_2E0,V1Y_2E0) != V0X_2E0 ) ).
tff(thm_2Ehreal_2EHREAL__LT__LEMMA,axiom,
! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1Y_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
( p(mono_2Ec_2Ehreal_2Ehreal__lt_2E2(V0X_2E0,V1Y_2E0))
=> ? [V2x_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( ~ p(mono_2Ec_2Ehreal_2Ecut_2E2(V0X_2E0,V2x_2E0))
& p(mono_2Ec_2Ehreal_2Ecut_2E2(V1Y_2E0,V2x_2E0)) ) ) ).
tff(thm_2Ehreal_2EHREAL__SUB__ISACUT,axiom,
! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29_29] :
( ! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1Y_2E0: mono_2Etyop_2Ehreal_2Ehreal,V2w_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(F0_2E0,V0X_2E0),V1Y_2E0),V2w_2E0))
<=> ? [V3x_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( ~ p(mono_2Ec_2Ehreal_2Ecut_2E2(V0X_2E0,V3x_2E0))
& p(mono_2Ec_2Ehreal_2Ecut_2E2(V1Y_2E0,mono_2Ec_2Ehrat_2Ehrat__add_2E2(V3x_2E0,V2w_2E0))) ) )
=> ! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1Y_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
( p(mono_2Ec_2Ehreal_2Ehreal__lt_2E2(V0X_2E0,V1Y_2E0))
=> p(mono_2Ec_2Ehreal_2Eisacut_2E1(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29(F0_2E0,V0X_2E0),V1Y_2E0))) ) ) ).
tff(thm_2Ehreal_2EHREAL__SUB__ADD,axiom,
! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1Y_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
( p(mono_2Ec_2Ehreal_2Ehreal__lt_2E2(V0X_2E0,V1Y_2E0))
=> ( mono_2Ec_2Ehreal_2Ehreal__add_2E2(mono_2Ec_2Ehreal_2Ehreal__sub_2E2(V1Y_2E0,V0X_2E0),V0X_2E0) = V1Y_2E0 ) ) ).
tff(thm_2Ehreal_2EHREAL__LT__TOTAL,axiom,
! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1Y_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
( ( V0X_2E0 = V1Y_2E0 )
| p(mono_2Ec_2Ehreal_2Ehreal__lt_2E2(V0X_2E0,V1Y_2E0))
| p(mono_2Ec_2Ehreal_2Ehreal__lt_2E2(V1Y_2E0,V0X_2E0)) ) ).
tff(thm_2Ehreal_2EHREAL__LT,axiom,
! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1Y_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
( p(mono_2Ec_2Ehreal_2Ehreal__lt_2E2(V0X_2E0,V1Y_2E0))
<=> ? [V2D_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( V1Y_2E0 = mono_2Ec_2Ehreal_2Ehreal__add_2E2(V0X_2E0,V2D_2E0) ) ) ).
tff(thm_2Ehreal_2EHREAL__ADD__TOTAL,axiom,
! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1Y_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
( ( V0X_2E0 = V1Y_2E0 )
| ? [V2D_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( V1Y_2E0 = mono_2Ec_2Ehreal_2Ehreal__add_2E2(V0X_2E0,V2D_2E0) )
| ? [V3D_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( V0X_2E0 = mono_2Ec_2Ehreal_2Ehreal__add_2E2(V1Y_2E0,V3D_2E0) ) ) ).
tff(thm_2Ehreal_2EHREAL__SUP__ISACUT,axiom,
! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29_29] :
( ! [V0P_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29,V4w_2E0: mono_2Etyop_2Ehrat_2Ehrat] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehrat_2Ehrat_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(F0_2E0,V0P_2E0),V4w_2E0))
<=> ? [V5X_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,V5X_2E0))
& p(mono_2Ec_2Ehreal_2Ecut_2E2(V5X_2E0,V4w_2E0)) ) )
=> ! [V0P_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29] :
( ( ? [V1X_2E0: mono_2Etyop_2Ehreal_2Ehreal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,V1X_2E0))
& ? [V2Y_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
! [V3X_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,V3X_2E0))
=> p(mono_2Ec_2Ehreal_2Ehreal__lt_2E2(V3X_2E0,V2Y_2E0)) ) )
=> p(mono_2Ec_2Ehreal_2Eisacut_2E1(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehrat_2Ehrat_2Ctyop_2Emin_2Ebool_29(F0_2E0,V0P_2E0))) ) ) ).
tff(thm_2Ehreal_2EHREAL__SUP,axiom,
! [V0P_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29] :
( ( ? [V1X_2E0: mono_2Etyop_2Ehreal_2Ehreal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,V1X_2E0))
& ? [V2Y_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
! [V3X_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,V3X_2E0))
=> p(mono_2Ec_2Ehreal_2Ehreal__lt_2E2(V3X_2E0,V2Y_2E0)) ) )
=> ! [V4Y_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
( ? [V5X_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,V5X_2E0))
& p(mono_2Ec_2Ehreal_2Ehreal__lt_2E2(V4Y_2E0,V5X_2E0)) )
<=> p(mono_2Ec_2Ehreal_2Ehreal__lt_2E2(V4Y_2E0,mono_2Ec_2Ehreal_2Ehreal__sup_2E1(V0P_2E0))) ) ) ).
%------------------------------------------------------------------------------