TPTP Problem File: ITP021

TPTP Problem File: ITP021_4.p

%------------------------------------------------------------------------------
% File     : ITP021_4 : TPTP v8.2.0. Bugfixed v7.5.0.
% Domain   : Interactive Theorem Proving
% Problem  : HOL4 syntactic export of thm_2Eextreal_2Emax__le.p, chainy mode
% Version  : [BG+19] axioms.
% English  :

% Refs     : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
%          : [Gau20] Gauthier (2020), Email to Geoff Sutcliffe
% Source   : [BG+19]
% Names    : thm_2Eextreal_2Emax__le.p [Gau20]
%          : HL410001_4.p [TPAP]

% Status   : Theorem
% Rating   : 0.78 v8.2.0, 0.90 v8.1.0, 0.91 v7.5.0
% Syntax   : Number of formulae    : 82800 (29877 unt;42117 typ;   0 def)
%            Number of atoms       : 74886 (47287 equ)
%            Maximal formula atoms :  912 (   0 avg)
%            Number of connectives : 37596 (3393   ~;1822   |;13349   &)
%                                         (8001 <=>;11031  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  360 (   4 avg)
%            Maximal term depth    :  130 (   3 avg)
%            Number of types       : 2094 (2093 usr)
%            Number of type conns  : 36319 (24196   >;12123   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   0 prp; 1-2 aty)
%            Number of functors    : 14811 (14811 usr;4338 con; 0-9 aty)
%            Number of variables   : 127338 (113088   !;14250   ?;127338   :)
% SPC      : TF0_THM_EQU_NAR

% Comments :
% Bugfixes : v7.5.0 - Bugfixes in axioms and export.
%------------------------------------------------------------------------------
include('Axioms/ITP001/ITP002_4.ax').
include('Axioms/ITP001/ITP003_4.ax').
include('Axioms/ITP001/ITP004_4.ax').
include('Axioms/ITP001/ITP005_4.ax').
include('Axioms/ITP001/ITP006_4.ax').
include('Axioms/ITP001/ITP007_4.ax').
include('Axioms/ITP001/ITP008_4.ax').
include('Axioms/ITP001/ITP009_4.ax').
include('Axioms/ITP001/ITP010_4.ax').
include('Axioms/ITP001/ITP011_4.ax').
include('Axioms/ITP001/ITP012_4.ax').
include('Axioms/ITP001/ITP013_4.ax').
include('Axioms/ITP001/ITP014_4.ax').
include('Axioms/ITP001/ITP015_4.ax').
include('Axioms/ITP001/ITP016_4.ax').
include('Axioms/ITP001/ITP017_4.ax').
include('Axioms/ITP001/ITP018_4.ax').
include('Axioms/ITP001/ITP019_4.ax').
include('Axioms/ITP001/ITP020_4.ax').
include('Axioms/ITP001/ITP021_4.ax').
include('Axioms/ITP001/ITP022_4.ax').
include('Axioms/ITP001/ITP023_4.ax').
include('Axioms/ITP001/ITP024_4.ax').
include('Axioms/ITP001/ITP025_4.ax').
include('Axioms/ITP001/ITP026_4.ax').
include('Axioms/ITP001/ITP027_4.ax').
include('Axioms/ITP001/ITP028_4.ax').
include('Axioms/ITP001/ITP029_4.ax').
include('Axioms/ITP001/ITP030_4.ax').
include('Axioms/ITP001/ITP031_4.ax').
include('Axioms/ITP001/ITP032_4.ax').
include('Axioms/ITP001/ITP033_4.ax').
include('Axioms/ITP001/ITP034_4.ax').
include('Axioms/ITP001/ITP035_4.ax').
include('Axioms/ITP001/ITP036_4.ax').
include('Axioms/ITP001/ITP037_4.ax').
include('Axioms/ITP001/ITP038_4.ax').
include('Axioms/ITP001/ITP039_4.ax').
include('Axioms/ITP001/ITP040_4.ax').
include('Axioms/ITP001/ITP041_4.ax').
include('Axioms/ITP001/ITP042_4.ax').
include('Axioms/ITP001/ITP043_4.ax').
include('Axioms/ITP001/ITP044_4.ax').
include('Axioms/ITP001/ITP045_4.ax').
include('Axioms/ITP001/ITP046_4.ax').
include('Axioms/ITP001/ITP047_4.ax').
include('Axioms/ITP001/ITP048_4.ax').
include('Axioms/ITP001/ITP049_4.ax').
include('Axioms/ITP001/ITP050_4.ax').
include('Axioms/ITP001/ITP051_4.ax').
include('Axioms/ITP001/ITP052_4.ax').
include('Axioms/ITP001/ITP053_4.ax').
include('Axioms/ITP001/ITP054_4.ax').
include('Axioms/ITP001/ITP055_4.ax').
include('Axioms/ITP001/ITP056_4.ax').
include('Axioms/ITP001/ITP057_4.ax').
include('Axioms/ITP001/ITP058_4.ax').
include('Axioms/ITP001/ITP059_4.ax').
include('Axioms/ITP001/ITP060_4.ax').
include('Axioms/ITP001/ITP061_4.ax').
include('Axioms/ITP001/ITP062_4.ax').
include('Axioms/ITP001/ITP063_4.ax').
include('Axioms/ITP001/ITP064_4.ax').
include('Axioms/ITP001/ITP065_4.ax').
include('Axioms/ITP001/ITP066_4.ax').
include('Axioms/ITP001/ITP067_4.ax').
include('Axioms/ITP001/ITP068_4.ax').
include('Axioms/ITP001/ITP069_4.ax').
include('Axioms/ITP001/ITP070_4.ax').
include('Axioms/ITP001/ITP071_4.ax').
include('Axioms/ITP001/ITP072_4.ax').
include('Axioms/ITP001/ITP073_4.ax').
include('Axioms/ITP001/ITP074_4.ax').
include('Axioms/ITP001/ITP075_4.ax').
include('Axioms/ITP001/ITP076_4.ax').
include('Axioms/ITP001/ITP077_4.ax').
include('Axioms/ITP001/ITP078_4.ax').
include('Axioms/ITP001/ITP079_4.ax').
include('Axioms/ITP001/ITP080_4.ax').
include('Axioms/ITP001/ITP081_4.ax').
include('Axioms/ITP001/ITP082_4.ax').
include('Axioms/ITP001/ITP083_4.ax').
include('Axioms/ITP001/ITP084_4.ax').
include('Axioms/ITP001/ITP085_4.ax').
include('Axioms/ITP001/ITP086_4.ax').
include('Axioms/ITP001/ITP087_4.ax').
include('Axioms/ITP001/ITP088_4.ax').
include('Axioms/ITP001/ITP089_4.ax').
include('Axioms/ITP001/ITP090_4.ax').
include('Axioms/ITP001/ITP091_4.ax').
include('Axioms/ITP001/ITP092_4.ax').
include('Axioms/ITP001/ITP093_4.ax').
include('Axioms/ITP001/ITP094_4.ax').
include('Axioms/ITP001/ITP095_4.ax').
include('Axioms/ITP001/ITP096_4.ax').
include('Axioms/ITP001/ITP097_4.ax').
include('Axioms/ITP001/ITP098_4.ax').
include('Axioms/ITP001/ITP099_4.ax').
include('Axioms/ITP001/ITP100_4.ax').
include('Axioms/ITP001/ITP101_4.ax').
include('Axioms/ITP001/ITP102_4.ax').
include('Axioms/ITP001/ITP103_4.ax').
include('Axioms/ITP001/ITP104_4.ax').
include('Axioms/ITP001/ITP105_4.ax').
include('Axioms/ITP001/ITP106_4.ax').
include('Axioms/ITP001/ITP107_4.ax').
include('Axioms/ITP001/ITP108_4.ax').
include('Axioms/ITP001/ITP109_4.ax').
include('Axioms/ITP001/ITP110_4.ax').
include('Axioms/ITP001/ITP111_4.ax').
include('Axioms/ITP001/ITP112_4.ax').
include('Axioms/ITP001/ITP113_4.ax').
include('Axioms/ITP001/ITP114_4.ax').
include('Axioms/ITP001/ITP116_4.ax').
include('Axioms/ITP001/ITP117_4.ax').
include('Axioms/ITP001/ITP118_4.ax').
include('Axioms/ITP001/ITP119_4.ax').
include('Axioms/ITP001/ITP120_4.ax').
include('Axioms/ITP001/ITP121_4.ax').
include('Axioms/ITP001/ITP123_4.ax').
include('Axioms/ITP001/ITP124_4.ax').
include('Axioms/ITP001/ITP126_4.ax').
include('Axioms/ITP001/ITP127_4.ax').
include('Axioms/ITP001/ITP128_4.ax').
include('Axioms/ITP001/ITP129_4.ax').
include('Axioms/ITP001/ITP130_4.ax').
include('Axioms/ITP001/ITP131_4.ax').
include('Axioms/ITP001/ITP132_4.ax').
include('Axioms/ITP001/ITP133_4.ax').
include('Axioms/ITP001/ITP134_4.ax').
include('Axioms/ITP001/ITP135_4.ax').
include('Axioms/ITP001/ITP136_4.ax').
include('Axioms/ITP001/ITP137_4.ax').
include('Axioms/ITP001/ITP138_4.ax').
include('Axioms/ITP001/ITP139_4.ax').
include('Axioms/ITP001/ITP140_4.ax').
include('Axioms/ITP001/ITP141_4.ax').
include('Axioms/ITP001/ITP142_4.ax').
%------------------------------------------------------------------------------
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_2Eextreal_2Eextreal,type,
    mono_2Etyop_2Eextreal_2Eextreal: $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_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Enum_2Enum_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Enum_2Enum_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Erealax_2Ereal_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Erealax_2Ereal_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29: $tType ).

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

tff(mono_2Etyop_2Erealax_2Ereal,type,
    mono_2Etyop_2Erealax_2Ereal: $tType ).

tff(mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29,type,
    mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29: $tType ).

tff(tyop_2Eextreal_2Eextreal,type,
    tyop_2Eextreal_2Eextreal: d ).

tff(tyop_2Eind__type_2Erecspace,type,
    tyop_2Eind__type_2Erecspace: d > d ).

tff(tyop_2Emin_2Ebool,type,
    tyop_2Emin_2Ebool: d ).

tff(tyop_2Emin_2Efun,type,
    tyop_2Emin_2Efun: ( d * d ) > d ).

tff(tyop_2Enum_2Enum,type,
    tyop_2Enum_2Enum: d ).

tff(tyop_2Epair_2Eprod,type,
    tyop_2Epair_2Eprod: ( d * d ) > d ).

tff(tyop_2Erealax_2Ereal,type,
    tyop_2Erealax_2Ereal: 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_2Earithmetic_2E_2A_2E0,type,
    c_2Earithmetic_2E_2A_2E0: u ).

tff(c_2Earithmetic_2E_2A_2E2,type,
    c_2Earithmetic_2E_2A_2E2: ( du * du ) > u ).

tff(c_2Earithmetic_2E_2B_2E0,type,
    c_2Earithmetic_2E_2B_2E0: u ).

tff(c_2Earithmetic_2E_2B_2E2,type,
    c_2Earithmetic_2E_2B_2E2: ( du * du ) > u ).

tff(c_2Epair_2E_2C_2E0,type,
    c_2Epair_2E_2C_2E0: u ).

tff(c_2Epair_2E_2C_2E2,type,
    c_2Epair_2E_2C_2E2: ( du * du ) > u ).

tff(c_2Eseq_2E_2D_2D_3E_2E0,type,
    c_2Eseq_2E_2D_2D_3E_2E0: u ).

tff(c_2Eseq_2E_2D_2D_3E_2E2,type,
    c_2Eseq_2E_2D_2D_3E_2E2: ( du * du ) > u ).

tff(c_2Ereal_2E_2F_2E0,type,
    c_2Ereal_2E_2F_2E0: u ).

tff(c_2Ereal_2E_2F_2E2,type,
    c_2Ereal_2E_2F_2E2: ( du * 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_2Enum_2E0_2E0,type,
    c_2Enum_2E0_2E0: u ).

tff(c_2Earithmetic_2E_3C_3D_2E0,type,
    c_2Earithmetic_2E_3C_3D_2E0: u ).

tff(c_2Earithmetic_2E_3C_3D_2E2,type,
    c_2Earithmetic_2E_3C_3D_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_2Emin_2E_40_2E0,type,
    c_2Emin_2E_40_2E0: u ).

tff(c_2Emin_2E_40_2E1,type,
    c_2Emin_2E_40_2E1: du > u ).

tff(c_2Ebool_2EARB_2E0,type,
    c_2Ebool_2EARB_2E0: u ).

tff(c_2Earithmetic_2EBIT1_2E0,type,
    c_2Earithmetic_2EBIT1_2E0: u ).

tff(c_2Earithmetic_2EBIT1_2E1,type,
    c_2Earithmetic_2EBIT1_2E1: du > u ).

tff(c_2Earithmetic_2EBIT2_2E0,type,
    c_2Earithmetic_2EBIT2_2E0: u ).

tff(c_2Earithmetic_2EBIT2_2E1,type,
    c_2Earithmetic_2EBIT2_2E1: du > u ).

tff(c_2Eind__type_2EBOTTOM_2E0,type,
    c_2Eind__type_2EBOTTOM_2E0: u ).

tff(c_2Epred__set_2ECARD_2E0,type,
    c_2Epred__set_2ECARD_2E0: u ).

tff(c_2Epred__set_2ECARD_2E1,type,
    c_2Epred__set_2ECARD_2E1: du > u ).

tff(c_2Ebool_2ECOND_2E0,type,
    c_2Ebool_2ECOND_2E0: u ).

tff(c_2Ebool_2ECOND_2E3,type,
    c_2Ebool_2ECOND_2E3: ( du * du * du ) > u ).

tff(c_2Eind__type_2ECONSTR_2E0,type,
    c_2Eind__type_2ECONSTR_2E0: u ).

tff(c_2Eind__type_2ECONSTR_2E3,type,
    c_2Eind__type_2ECONSTR_2E3: ( du * du * du ) > u ).

tff(c_2Epred__set_2ECROSS_2E0,type,
    c_2Epred__set_2ECROSS_2E0: u ).

tff(c_2Epred__set_2ECROSS_2E2,type,
    c_2Epred__set_2ECROSS_2E2: ( du * du ) > u ).

tff(c_2Ebool_2EDATATYPE_2E0,type,
    c_2Ebool_2EDATATYPE_2E0: u ).

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

tff(c_2Epred__set_2EDELETE_2E0,type,
    c_2Epred__set_2EDELETE_2E0: u ).

tff(c_2Epred__set_2EDELETE_2E2,type,
    c_2Epred__set_2EDELETE_2E2: ( du * du ) > u ).

tff(c_2Epred__set_2EDIFF_2E0,type,
    c_2Epred__set_2EDIFF_2E0: u ).

tff(c_2Epred__set_2EDIFF_2E2,type,
    c_2Epred__set_2EDIFF_2E2: ( du * du ) > u ).

tff(c_2Epred__set_2EDISJOINT_2E0,type,
    c_2Epred__set_2EDISJOINT_2E0: u ).

tff(c_2Epred__set_2EDISJOINT_2E2,type,
    c_2Epred__set_2EDISJOINT_2E2: ( du * du ) > u ).

tff(c_2Epred__set_2EEMPTY_2E0,type,
    c_2Epred__set_2EEMPTY_2E0: u ).

tff(c_2Earithmetic_2EEVEN_2E0,type,
    c_2Earithmetic_2EEVEN_2E0: u ).

tff(c_2Earithmetic_2EEVEN_2E1,type,
    c_2Earithmetic_2EEVEN_2E1: du > u ).

tff(c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E0,type,
    c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E0: u ).

tff(c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2,type,
    c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2: ( du * du ) > u ).

tff(c_2Ebool_2EF_2E0,type,
    c_2Ebool_2EF_2E0: u ).

tff(c_2Epred__set_2EFINITE_2E0,type,
    c_2Epred__set_2EFINITE_2E0: u ).

tff(c_2Epred__set_2EFINITE_2E1,type,
    c_2Epred__set_2EFINITE_2E1: du > u ).

tff(c_2Epair_2EFST_2E0,type,
    c_2Epair_2EFST_2E0: u ).

tff(c_2Epair_2EFST_2E1,type,
    c_2Epair_2EFST_2E1: du > u ).

tff(c_2Ecombin_2EI_2E0,type,
    c_2Ecombin_2EI_2E0: u ).

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

tff(c_2Epred__set_2EIMAGE_2E0,type,
    c_2Epred__set_2EIMAGE_2E0: u ).

tff(c_2Epred__set_2EIMAGE_2E2,type,
    c_2Epred__set_2EIMAGE_2E2: ( du * du ) > u ).

tff(c_2Ebool_2EIN_2E0,type,
    c_2Ebool_2EIN_2E0: u ).

tff(c_2Ebool_2EIN_2E2,type,
    c_2Ebool_2EIN_2E2: ( du * du ) > u ).

tff(c_2Epred__set_2EINJ_2E0,type,
    c_2Epred__set_2EINJ_2E0: u ).

tff(c_2Epred__set_2EINJ_2E3,type,
    c_2Epred__set_2EINJ_2E3: ( du * du * du ) > u ).

tff(c_2Epred__set_2EINSERT_2E0,type,
    c_2Epred__set_2EINSERT_2E0: u ).

tff(c_2Epred__set_2EINSERT_2E2,type,
    c_2Epred__set_2EINSERT_2E2: ( du * du ) > u ).

tff(c_2Epred__set_2EINTER_2E0,type,
    c_2Epred__set_2EINTER_2E0: u ).

tff(c_2Epred__set_2EINTER_2E2,type,
    c_2Epred__set_2EINTER_2E2: ( du * du ) > u ).

tff(c_2Epred__set_2EITSET_2E0,type,
    c_2Epred__set_2EITSET_2E0: u ).

tff(c_2Epred__set_2EITSET_2E3,type,
    c_2Epred__set_2EITSET_2E3: ( du * du * du ) > u ).

tff(c_2Earithmetic_2ENUMERAL_2E0,type,
    c_2Earithmetic_2ENUMERAL_2E0: u ).

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

tff(c_2Eextreal_2ENegInf_2E0,type,
    c_2Eextreal_2ENegInf_2E0: u ).

tff(c_2Eextreal_2ENormal_2E0,type,
    c_2Eextreal_2ENormal_2E0: u ).

tff(c_2Eextreal_2ENormal_2E1,type,
    c_2Eextreal_2ENormal_2E1: du > u ).

tff(c_2Earithmetic_2EODD_2E0,type,
    c_2Earithmetic_2EODD_2E0: u ).

tff(c_2Earithmetic_2EODD_2E1,type,
    c_2Earithmetic_2EODD_2E1: du > u ).

tff(c_2Eextreal_2EPosInf_2E0,type,
    c_2Eextreal_2EPosInf_2E0: u ).

tff(c_2Ereal__sigma_2EREAL__SUM__IMAGE_2E0,type,
    c_2Ereal__sigma_2EREAL__SUM__IMAGE_2E0: u ).

tff(c_2Ereal__sigma_2EREAL__SUM__IMAGE_2E2,type,
    c_2Ereal__sigma_2EREAL__SUM__IMAGE_2E2: ( du * du ) > u ).

tff(c_2Epair_2ESND_2E0,type,
    c_2Epair_2ESND_2E0: u ).

tff(c_2Epair_2ESND_2E1,type,
    c_2Epair_2ESND_2E1: du > u ).

tff(c_2Epred__set_2ESUBSET_2E0,type,
    c_2Epred__set_2ESUBSET_2E0: u ).

tff(c_2Epred__set_2ESUBSET_2E2,type,
    c_2Epred__set_2ESUBSET_2E2: ( du * du ) > u ).

tff(c_2Enum_2ESUC_2E0,type,
    c_2Enum_2ESUC_2E0: u ).

tff(c_2Enum_2ESUC_2E1,type,
    c_2Enum_2ESUC_2E1: du > 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_2Epair_2EUNCURRY_2E0,type,
    c_2Epair_2EUNCURRY_2E0: u ).

tff(c_2Epair_2EUNCURRY_2E1,type,
    c_2Epair_2EUNCURRY_2E1: du > u ).

tff(c_2Epred__set_2EUNION_2E0,type,
    c_2Epred__set_2EUNION_2E0: u ).

tff(c_2Epred__set_2EUNION_2E2,type,
    c_2Epred__set_2EUNION_2E2: ( du * du ) > u ).

tff(c_2Epred__set_2EUNIV_2E0,type,
    c_2Epred__set_2EUNIV_2E0: u ).

tff(c_2Erelation_2EWF_2E0,type,
    c_2Erelation_2EWF_2E0: u ).

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

tff(c_2Erelation_2EWFREC_2E0,type,
    c_2Erelation_2EWFREC_2E0: u ).

tff(c_2Erelation_2EWFREC_2E2,type,
    c_2Erelation_2EWFREC_2E2: ( du * du ) > u ).

tff(c_2Earithmetic_2EZERO_2E0,type,
    c_2Earithmetic_2EZERO_2E0: 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_2Ereal_2Eabs_2E0,type,
    c_2Ereal_2Eabs_2E0: u ).

tff(c_2Ereal_2Eabs_2E1,type,
    c_2Ereal_2Eabs_2E1: du > u ).

tff(c_2Epred__set_2Ecount_2E0,type,
    c_2Epred__set_2Ecount_2E0: u ).

tff(c_2Epred__set_2Ecount_2E1,type,
    c_2Epred__set_2Ecount_2E1: du > u ).

tff(c_2Etransc_2Eexp_2E0,type,
    c_2Etransc_2Eexp_2E0: u ).

tff(c_2Etransc_2Eexp_2E1,type,
    c_2Etransc_2Eexp_2E1: du > u ).

tff(c_2Eextreal_2Eext__mono__decreasing_2E0,type,
    c_2Eextreal_2Eext__mono__decreasing_2E0: u ).

tff(c_2Eextreal_2Eext__mono__decreasing_2E1,type,
    c_2Eextreal_2Eext__mono__decreasing_2E1: du > u ).

tff(c_2Eextreal_2Eext__mono__increasing_2E0,type,
    c_2Eextreal_2Eext__mono__increasing_2E0: u ).

tff(c_2Eextreal_2Eext__mono__increasing_2E1,type,
    c_2Eextreal_2Eext__mono__increasing_2E1: du > u ).

tff(c_2Eextreal_2Eext__suminf_2E0,type,
    c_2Eextreal_2Eext__suminf_2E0: u ).

tff(c_2Eextreal_2Eext__suminf_2E1,type,
    c_2Eextreal_2Eext__suminf_2E1: du > u ).

tff(c_2Eextreal_2Eextreal__CASE_2E0,type,
    c_2Eextreal_2Eextreal__CASE_2E0: u ).

tff(c_2Eextreal_2Eextreal__CASE_2E4,type,
    c_2Eextreal_2Eextreal__CASE_2E4: ( du * du * du * du ) > u ).

tff(c_2Eextreal_2Eextreal__abs_2E0,type,
    c_2Eextreal_2Eextreal__abs_2E0: u ).

tff(c_2Eextreal_2Eextreal__abs_2E1,type,
    c_2Eextreal_2Eextreal__abs_2E1: du > u ).

tff(c_2Eextreal_2Eextreal__add_2E0,type,
    c_2Eextreal_2Eextreal__add_2E0: u ).

tff(c_2Eextreal_2Eextreal__add_2E2,type,
    c_2Eextreal_2Eextreal__add_2E2: ( du * du ) > u ).

tff(c_2Eextreal_2Eextreal__ainv_2E0,type,
    c_2Eextreal_2Eextreal__ainv_2E0: u ).

tff(c_2Eextreal_2Eextreal__ainv_2E1,type,
    c_2Eextreal_2Eextreal__ainv_2E1: du > u ).

tff(c_2Eextreal_2Eextreal__div_2E0,type,
    c_2Eextreal_2Eextreal__div_2E0: u ).

tff(c_2Eextreal_2Eextreal__div_2E2,type,
    c_2Eextreal_2Eextreal__div_2E2: ( du * du ) > u ).

tff(c_2Eextreal_2Eextreal__exp_2E0,type,
    c_2Eextreal_2Eextreal__exp_2E0: u ).

tff(c_2Eextreal_2Eextreal__exp_2E1,type,
    c_2Eextreal_2Eextreal__exp_2E1: du > u ).

tff(c_2Eextreal_2Eextreal__inf_2E0,type,
    c_2Eextreal_2Eextreal__inf_2E0: u ).

tff(c_2Eextreal_2Eextreal__inf_2E1,type,
    c_2Eextreal_2Eextreal__inf_2E1: du > u ).

tff(c_2Eextreal_2Eextreal__inv_2E0,type,
    c_2Eextreal_2Eextreal__inv_2E0: u ).

tff(c_2Eextreal_2Eextreal__inv_2E1,type,
    c_2Eextreal_2Eextreal__inv_2E1: du > u ).

tff(c_2Eextreal_2Eextreal__le_2E0,type,
    c_2Eextreal_2Eextreal__le_2E0: u ).

tff(c_2Eextreal_2Eextreal__le_2E2,type,
    c_2Eextreal_2Eextreal__le_2E2: ( du * du ) > u ).

tff(c_2Eextreal_2Eextreal__lg_2E0,type,
    c_2Eextreal_2Eextreal__lg_2E0: u ).

tff(c_2Eextreal_2Eextreal__lg_2E1,type,
    c_2Eextreal_2Eextreal__lg_2E1: du > u ).

tff(c_2Eextreal_2Eextreal__logr_2E0,type,
    c_2Eextreal_2Eextreal__logr_2E0: u ).

tff(c_2Eextreal_2Eextreal__logr_2E2,type,
    c_2Eextreal_2Eextreal__logr_2E2: ( du * du ) > u ).

tff(c_2Eextreal_2Eextreal__lt_2E0,type,
    c_2Eextreal_2Eextreal__lt_2E0: u ).

tff(c_2Eextreal_2Eextreal__lt_2E2,type,
    c_2Eextreal_2Eextreal__lt_2E2: ( du * du ) > u ).

tff(c_2Eextreal_2Eextreal__max_2E0,type,
    c_2Eextreal_2Eextreal__max_2E0: u ).

tff(c_2Eextreal_2Eextreal__max_2E2,type,
    c_2Eextreal_2Eextreal__max_2E2: ( du * du ) > u ).

tff(c_2Eextreal_2Eextreal__min_2E0,type,
    c_2Eextreal_2Eextreal__min_2E0: u ).

tff(c_2Eextreal_2Eextreal__min_2E2,type,
    c_2Eextreal_2Eextreal__min_2E2: ( du * du ) > u ).

tff(c_2Eextreal_2Eextreal__mul_2E0,type,
    c_2Eextreal_2Eextreal__mul_2E0: u ).

tff(c_2Eextreal_2Eextreal__mul_2E2,type,
    c_2Eextreal_2Eextreal__mul_2E2: ( du * du ) > u ).

tff(c_2Eextreal_2Eextreal__of__num_2E0,type,
    c_2Eextreal_2Eextreal__of__num_2E0: u ).

tff(c_2Eextreal_2Eextreal__of__num_2E1,type,
    c_2Eextreal_2Eextreal__of__num_2E1: du > u ).

tff(c_2Eextreal_2Eextreal__pow_2E0,type,
    c_2Eextreal_2Eextreal__pow_2E0: u ).

tff(c_2Eextreal_2Eextreal__pow_2E2,type,
    c_2Eextreal_2Eextreal__pow_2E2: ( du * du ) > u ).

tff(c_2Eextreal_2Eextreal__size_2E0,type,
    c_2Eextreal_2Eextreal__size_2E0: u ).

tff(c_2Eextreal_2Eextreal__size_2E1,type,
    c_2Eextreal_2Eextreal__size_2E1: du > u ).

tff(c_2Eextreal_2Eextreal__sqrt_2E0,type,
    c_2Eextreal_2Eextreal__sqrt_2E0: u ).

tff(c_2Eextreal_2Eextreal__sqrt_2E1,type,
    c_2Eextreal_2Eextreal__sqrt_2E1: du > u ).

tff(c_2Eextreal_2Eextreal__sub_2E0,type,
    c_2Eextreal_2Eextreal__sub_2E0: u ).

tff(c_2Eextreal_2Eextreal__sub_2E2,type,
    c_2Eextreal_2Eextreal__sub_2E2: ( du * du ) > u ).

tff(c_2Eextreal_2Eextreal__sup_2E0,type,
    c_2Eextreal_2Eextreal__sup_2E0: u ).

tff(c_2Eextreal_2Eextreal__sup_2E1,type,
    c_2Eextreal_2Eextreal__sup_2E1: du > u ).

tff(c_2Erealax_2Einv_2E0,type,
    c_2Erealax_2Einv_2E0: u ).

tff(c_2Erealax_2Einv_2E1,type,
    c_2Erealax_2Einv_2E1: du > u ).

tff(c_2Eutil__prob_2Elogr_2E0,type,
    c_2Eutil__prob_2Elogr_2E0: u ).

tff(c_2Eutil__prob_2Elogr_2E2,type,
    c_2Eutil__prob_2Elogr_2E2: ( du * du ) > u ).

tff(c_2Eextreal_2Emono__decreasing_2E0,type,
    c_2Eextreal_2Emono__decreasing_2E0: u ).

tff(c_2Eextreal_2Emono__decreasing_2E1,type,
    c_2Eextreal_2Emono__decreasing_2E1: du > u ).

tff(c_2Eextreal_2Emono__increasing_2E0,type,
    c_2Eextreal_2Emono__increasing_2E0: u ).

tff(c_2Eextreal_2Emono__increasing_2E1,type,
    c_2Eextreal_2Emono__increasing_2E1: du > u ).

tff(c_2Ecombin_2Eo_2E0,type,
    c_2Ecombin_2Eo_2E0: u ).

tff(c_2Ecombin_2Eo_2E2,type,
    c_2Ecombin_2Eo_2E2: ( du * du ) > u ).

tff(c_2Ereal_2Epow_2E0,type,
    c_2Ereal_2Epow_2E0: u ).

tff(c_2Ereal_2Epow_2E2,type,
    c_2Ereal_2Epow_2E2: ( du * du ) > u ).

tff(c_2Eextreal_2Ereal_2E0,type,
    c_2Eextreal_2Ereal_2E0: u ).

tff(c_2Eextreal_2Ereal_2E1,type,
    c_2Eextreal_2Ereal_2E1: du > u ).

tff(c_2Erealax_2Ereal__add_2E0,type,
    c_2Erealax_2Ereal__add_2E0: u ).

tff(c_2Erealax_2Ereal__add_2E2,type,
    c_2Erealax_2Ereal__add_2E2: ( du * du ) > u ).

tff(c_2Erealax_2Ereal__lt_2E0,type,
    c_2Erealax_2Ereal__lt_2E0: u ).

tff(c_2Erealax_2Ereal__lt_2E2,type,
    c_2Erealax_2Ereal__lt_2E2: ( du * du ) > u ).

tff(c_2Ereal_2Ereal__lte_2E0,type,
    c_2Ereal_2Ereal__lte_2E0: u ).

tff(c_2Ereal_2Ereal__lte_2E2,type,
    c_2Ereal_2Ereal__lte_2E2: ( du * du ) > u ).

tff(c_2Erealax_2Ereal__mul_2E0,type,
    c_2Erealax_2Ereal__mul_2E0: u ).

tff(c_2Erealax_2Ereal__mul_2E2,type,
    c_2Erealax_2Ereal__mul_2E2: ( du * du ) > u ).

tff(c_2Erealax_2Ereal__neg_2E0,type,
    c_2Erealax_2Ereal__neg_2E0: u ).

tff(c_2Erealax_2Ereal__neg_2E1,type,
    c_2Erealax_2Ereal__neg_2E1: du > u ).

tff(c_2Ereal_2Ereal__of__num_2E0,type,
    c_2Ereal_2Ereal__of__num_2E0: u ).

tff(c_2Ereal_2Ereal__of__num_2E1,type,
    c_2Ereal_2Ereal__of__num_2E1: du > u ).

tff(c_2Ereal_2Ereal__sub_2E0,type,
    c_2Ereal_2Ereal__sub_2E0: u ).

tff(c_2Ereal_2Ereal__sub_2E2,type,
    c_2Ereal_2Ereal__sub_2E2: ( du * du ) > u ).

tff(c_2Etransc_2Esqrt_2E0,type,
    c_2Etransc_2Esqrt_2E0: u ).

tff(c_2Etransc_2Esqrt_2E1,type,
    c_2Etransc_2Esqrt_2E1: du > u ).

tff(c_2Eseq_2Esuminf_2E0,type,
    c_2Eseq_2Esuminf_2E0: u ).

tff(c_2Eseq_2Esuminf_2E1,type,
    c_2Eseq_2Esuminf_2E1: du > u ).

tff(c_2Ereal_2Esup_2E0,type,
    c_2Ereal_2Esup_2E0: u ).

tff(c_2Ereal_2Esup_2E1,type,
    c_2Ereal_2Esup_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_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29_29 * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29_29 * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29 * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29 * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29 * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Enum_2Enum,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Enum_2Enum_29 * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Enum_2Enum ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Erealax_2Ereal,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Erealax_2Ereal_29 * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Eextreal_2Eextreal,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Eextreal_2Eextreal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Eextreal_2Eextreal,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Eextreal_2Eextreal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Eextreal_2Eextreal,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Eextreal_2Eextreal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 ) > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Erealax_2Ereal,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 ) > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Eextreal_2Eextreal,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Eextreal_2Eextreal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29 ) > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Eextreal_2Eextreal,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Eextreal_2Eextreal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29 * mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 * mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29 * mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29 * mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29 * mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 * mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 * mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Earithmetic_2E_2A_2E0,type,
    mono_2Ec_2Earithmetic_2E_2A_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 ).

tff(mono_2Ec_2Earithmetic_2E_2A_2E2,type,
    mono_2Ec_2Earithmetic_2E_2A_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum ).

tff(mono_2Ec_2Earithmetic_2E_2B_2E0,type,
    mono_2Ec_2Earithmetic_2E_2B_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 ).

tff(mono_2Ec_2Earithmetic_2E_2B_2E2,type,
    mono_2Ec_2Earithmetic_2E_2B_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum ).

tff(mono_2Ec_2Eseq_2E_2D_2D_3E_2E0,type,
    mono_2Ec_2Eseq_2E_2D_2D_3E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Eseq_2E_2D_2D_3E_2E2,type,
    mono_2Ec_2Eseq_2E_2D_2D_3E_2E2: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 * mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Ereal_2E_2F_2E0,type,
    mono_2Ec_2Ereal_2E_2F_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 ).

tff(mono_2Ec_2Ereal_2E_2F_2E2,type,
    mono_2Ec_2Ereal_2E_2F_2E2: ( mono_2Etyop_2Erealax_2Ereal * mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal ).

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_2Enum_2E0_2E0,type,
    mono_2Ec_2Enum_2E0_2E0: mono_2Etyop_2Enum_2Enum ).

tff(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,type,
    mono_2Ec_2Earithmetic_2E_3C_3D_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Earithmetic_2E_3C_3D_2E2,type,
    mono_2Ec_2Earithmetic_2E_3C_3D_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > 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_2Emin_2E_40_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 ).

tff(mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Erealax_2Ereal,type,
    mono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Erealax_2Ereal: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29 ).

tff(mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Erealax_2Ereal,type,
    mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Erealax_2Ereal: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Ec_2Ebool_2EARB_2E0_2Emono_2Etyop_2Erealax_2Ereal,type,
    mono_2Ec_2Ebool_2EARB_2E0_2Emono_2Etyop_2Erealax_2Ereal: mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Ec_2Earithmetic_2EBIT1_2E0,type,
    mono_2Ec_2Earithmetic_2EBIT1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ).

tff(mono_2Ec_2Earithmetic_2EBIT1_2E1,type,
    mono_2Ec_2Earithmetic_2EBIT1_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

tff(mono_2Ec_2Earithmetic_2EBIT2_2E0,type,
    mono_2Ec_2Earithmetic_2EBIT2_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ).

tff(mono_2Ec_2Earithmetic_2EBIT2_2E1,type,
    mono_2Ec_2Earithmetic_2EBIT2_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

tff(mono_2Ec_2Eind__type_2EBOTTOM_2E0_2Emono_2Etyop_2Erealax_2Ereal,type,
    mono_2Ec_2Eind__type_2EBOTTOM_2E0_2Emono_2Etyop_2Erealax_2Ereal: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29 ).

tff(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,type,
    mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 ).

tff(mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal,type,
    mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Eextreal_2Eextreal * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Erealax_2Ereal,type,
    mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Erealax_2Ereal: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29 ).

tff(mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Erealax_2Ereal,type,
    mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Erealax_2Ereal * mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Ec_2Eind__type_2ECONSTR_2E0_2Emono_2Etyop_2Erealax_2Ereal,type,
    mono_2Ec_2Eind__type_2ECONSTR_2E0_2Emono_2Etyop_2Erealax_2Ereal: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29_29 ).

tff(mono_2Ec_2Eind__type_2ECONSTR_2E3_2Emono_2Etyop_2Erealax_2Ereal,type,
    mono_2Ec_2Eind__type_2ECONSTR_2E3_2Emono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Erealax_2Ereal * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29 ) > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29 ).

tff(mono_2Ec_2Ebool_2EDATATYPE_2E0_2Emono_2Etyop_2Emin_2Ebool,type,
    mono_2Ec_2Ebool_2EDATATYPE_2E0_2Emono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Ec_2Ebool_2EDATATYPE_2E1_2Emono_2Etyop_2Emin_2Ebool,type,
    mono_2Ec_2Ebool_2EDATATYPE_2E1_2Emono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Earithmetic_2EEVEN_2E0,type,
    mono_2Ec_2Earithmetic_2EEVEN_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Ec_2Earithmetic_2EEVEN_2E1,type,
    mono_2Ec_2Earithmetic_2EEVEN_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Eextreal_2EEXTREAL__SUM__IMAGE_2E0_2Emono_2Etyop_2Enum_2Enum,type,
    mono_2Ec_2Eextreal_2EEXTREAL__SUM__IMAGE_2E0_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(mono_2Ec_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2_2Emono_2Etyop_2Enum_2Enum,type,
    mono_2Ec_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2_2Emono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Ebool_2EF_2E0,type,
    mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Epred__set_2EFINITE_2E0_2Emono_2Etyop_2Enum_2Enum,type,
    mono_2Ec_2Epred__set_2EFINITE_2E0_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Ec_2Epred__set_2EFINITE_2E1_2Emono_2Etyop_2Enum_2Enum,type,
    mono_2Ec_2Epred__set_2EFINITE_2E1_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Ecombin_2EI_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,type,
    mono_2Ec_2Ecombin_2EI_2E0_2Emono_2Etyop_2Eextreal_2Eextreal: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Ec_2Ecombin_2EI_2E1_2Emono_2Etyop_2Eextreal_2Eextreal,type,
    mono_2Ec_2Ecombin_2EI_2E1_2Emono_2Etyop_2Eextreal_2Eextreal: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Epred__set_2EIMAGE_2E0_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,type,
    mono_2Ec_2Epred__set_2EIMAGE_2E0_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 ).

tff(mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,type,
    mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Ec_2Epred__set_2EIMAGE_2E0_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal,type,
    mono_2Ec_2Epred__set_2EIMAGE_2E0_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 ).

tff(mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal,type,
    mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Ec_2Epred__set_2EIMAGE_2E0_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal,type,
    mono_2Ec_2Epred__set_2EIMAGE_2E0_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29 ).

tff(mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal,type,
    mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Ec_2Ebool_2EIN_2E0_2Emono_2Etyop_2Enum_2Enum,type,
    mono_2Ec_2Ebool_2EIN_2E0_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Ebool_2EIN_2E2_2Emono_2Etyop_2Enum_2Enum,type,
    mono_2Ec_2Ebool_2EIN_2E2_2Emono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Earithmetic_2ENUMERAL_2E0,type,
    mono_2Ec_2Earithmetic_2ENUMERAL_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ).

tff(mono_2Ec_2Earithmetic_2ENUMERAL_2E1,type,
    mono_2Ec_2Earithmetic_2ENUMERAL_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

tff(mono_2Ec_2Eextreal_2ENegInf_2E0,type,
    mono_2Ec_2Eextreal_2ENegInf_2E0: mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Eextreal_2ENormal_2E0,type,
    mono_2Ec_2Eextreal_2ENormal_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Ec_2Eextreal_2ENormal_2E1,type,
    mono_2Ec_2Eextreal_2ENormal_2E1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Earithmetic_2EODD_2E0,type,
    mono_2Ec_2Earithmetic_2EODD_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Ec_2Earithmetic_2EODD_2E1,type,
    mono_2Ec_2Earithmetic_2EODD_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Eextreal_2EPosInf_2E0,type,
    mono_2Ec_2Eextreal_2EPosInf_2E0: mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Enum_2ESUC_2E0,type,
    mono_2Ec_2Enum_2ESUC_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ).

tff(mono_2Ec_2Enum_2ESUC_2E1,type,
    mono_2Ec_2Enum_2ESUC_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

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_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Eextreal_2Eextreal,type,
    mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E0_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Eextreal_2Eextreal: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Eextreal_2Eextreal,type,
    mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Eextreal_2Eextreal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum,type,
    mono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Ec_2Erelation_2EWF_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,type,
    mono_2Ec_2Erelation_2EWF_2E0_2Emono_2Etyop_2Eextreal_2Eextreal: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Ec_2Erelation_2EWF_2E1_2Emono_2Etyop_2Eextreal_2Eextreal,type,
    mono_2Ec_2Erelation_2EWF_2E1_2Emono_2Etyop_2Eextreal_2Eextreal: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Erelation_2EWFREC_2E0_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,type,
    mono_2Ec_2Erelation_2EWFREC_2E0_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 ).

tff(mono_2Ec_2Erelation_2EWFREC_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,type,
    mono_2Ec_2Erelation_2EWFREC_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Ec_2Earithmetic_2EZERO_2E0,type,
    mono_2Ec_2Earithmetic_2EZERO_2E0: mono_2Etyop_2Enum_2Enum ).

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_2Ereal_2Eabs_2E0,type,
    mono_2Ec_2Ereal_2Eabs_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).

tff(mono_2Ec_2Ereal_2Eabs_2E1,type,
    mono_2Ec_2Ereal_2Eabs_2E1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Ec_2Epred__set_2Ecount_2E0,type,
    mono_2Ec_2Epred__set_2Ecount_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Epred__set_2Ecount_2E1,type,
    mono_2Ec_2Epred__set_2Ecount_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Ec_2Etransc_2Eexp_2E0,type,
    mono_2Ec_2Etransc_2Eexp_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).

tff(mono_2Ec_2Etransc_2Eexp_2E1,type,
    mono_2Ec_2Etransc_2Eexp_2E1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Ec_2Eextreal_2Eext__mono__decreasing_2E0,type,
    mono_2Ec_2Eextreal_2Eext__mono__decreasing_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Ec_2Eextreal_2Eext__mono__decreasing_2E1,type,
    mono_2Ec_2Eextreal_2Eext__mono__decreasing_2E1: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Eextreal_2Eext__mono__increasing_2E0,type,
    mono_2Ec_2Eextreal_2Eext__mono__increasing_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Ec_2Eextreal_2Eext__mono__increasing_2E1,type,
    mono_2Ec_2Eextreal_2Eext__mono__increasing_2E1: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Eextreal_2Eext__suminf_2E0,type,
    mono_2Ec_2Eextreal_2Eext__suminf_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Ec_2Eextreal_2Eext__suminf_2E1,type,
    mono_2Ec_2Eextreal_2Eext__suminf_2E1: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Eextreal_2Eextreal__CASE_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,type,
    mono_2Ec_2Eextreal_2Eextreal__CASE_2E0_2Emono_2Etyop_2Eextreal_2Eextreal: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29_29 ).

tff(mono_2Ec_2Eextreal_2Eextreal__CASE_2E4_2Emono_2Etyop_2Eextreal_2Eextreal,type,
    mono_2Ec_2Eextreal_2Eextreal__CASE_2E4_2Emono_2Etyop_2Eextreal_2Eextreal: ( mono_2Etyop_2Eextreal_2Eextreal * mono_2Etyop_2Eextreal_2Eextreal * mono_2Etyop_2Eextreal_2Eextreal * mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29 ) > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Eextreal_2Eextreal__abs_2E0,type,
    mono_2Ec_2Eextreal_2Eextreal__abs_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Ec_2Eextreal_2Eextreal__abs_2E1,type,
    mono_2Ec_2Eextreal_2Eextreal__abs_2E1: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Eextreal_2Eextreal__add_2E0,type,
    mono_2Ec_2Eextreal_2Eextreal__add_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(mono_2Ec_2Eextreal_2Eextreal__add_2E2,type,
    mono_2Ec_2Eextreal_2Eextreal__add_2E2: ( mono_2Etyop_2Eextreal_2Eextreal * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Eextreal_2Eextreal__ainv_2E0,type,
    mono_2Ec_2Eextreal_2Eextreal__ainv_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Ec_2Eextreal_2Eextreal__ainv_2E1,type,
    mono_2Ec_2Eextreal_2Eextreal__ainv_2E1: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Eextreal_2Eextreal__div_2E0,type,
    mono_2Ec_2Eextreal_2Eextreal__div_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(mono_2Ec_2Eextreal_2Eextreal__div_2E2,type,
    mono_2Ec_2Eextreal_2Eextreal__div_2E2: ( mono_2Etyop_2Eextreal_2Eextreal * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Eextreal_2Eextreal__exp_2E0,type,
    mono_2Ec_2Eextreal_2Eextreal__exp_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Ec_2Eextreal_2Eextreal__exp_2E1,type,
    mono_2Ec_2Eextreal_2Eextreal__exp_2E1: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Eextreal_2Eextreal__inf_2E0,type,
    mono_2Ec_2Eextreal_2Eextreal__inf_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Ec_2Eextreal_2Eextreal__inf_2E1,type,
    mono_2Ec_2Eextreal_2Eextreal__inf_2E1: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Eextreal_2Eextreal__inv_2E0,type,
    mono_2Ec_2Eextreal_2Eextreal__inv_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Ec_2Eextreal_2Eextreal__inv_2E1,type,
    mono_2Ec_2Eextreal_2Eextreal__inv_2E1: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Eextreal_2Eextreal__le_2E0,type,
    mono_2Ec_2Eextreal_2Eextreal__le_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Eextreal_2Eextreal__le_2E2,type,
    mono_2Ec_2Eextreal_2Eextreal__le_2E2: ( mono_2Etyop_2Eextreal_2Eextreal * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Eextreal_2Eextreal__lg_2E0,type,
    mono_2Ec_2Eextreal_2Eextreal__lg_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Ec_2Eextreal_2Eextreal__lg_2E1,type,
    mono_2Ec_2Eextreal_2Eextreal__lg_2E1: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Eextreal_2Eextreal__logr_2E0,type,
    mono_2Ec_2Eextreal_2Eextreal__logr_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(mono_2Ec_2Eextreal_2Eextreal__logr_2E2,type,
    mono_2Ec_2Eextreal_2Eextreal__logr_2E2: ( mono_2Etyop_2Erealax_2Ereal * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Eextreal_2Eextreal__lt_2E0,type,
    mono_2Ec_2Eextreal_2Eextreal__lt_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Eextreal_2Eextreal__lt_2E2,type,
    mono_2Ec_2Eextreal_2Eextreal__lt_2E2: ( mono_2Etyop_2Eextreal_2Eextreal * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Eextreal_2Eextreal__max_2E0,type,
    mono_2Ec_2Eextreal_2Eextreal__max_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(mono_2Ec_2Eextreal_2Eextreal__max_2E2,type,
    mono_2Ec_2Eextreal_2Eextreal__max_2E2: ( mono_2Etyop_2Eextreal_2Eextreal * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Eextreal_2Eextreal__min_2E0,type,
    mono_2Ec_2Eextreal_2Eextreal__min_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(mono_2Ec_2Eextreal_2Eextreal__min_2E2,type,
    mono_2Ec_2Eextreal_2Eextreal__min_2E2: ( mono_2Etyop_2Eextreal_2Eextreal * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Eextreal_2Eextreal__mul_2E0,type,
    mono_2Ec_2Eextreal_2Eextreal__mul_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(mono_2Ec_2Eextreal_2Eextreal__mul_2E2,type,
    mono_2Ec_2Eextreal_2Eextreal__mul_2E2: ( mono_2Etyop_2Eextreal_2Eextreal * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Eextreal_2Eextreal__of__num_2E0,type,
    mono_2Ec_2Eextreal_2Eextreal__of__num_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1,type,
    mono_2Ec_2Eextreal_2Eextreal__of__num_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Eextreal_2Eextreal__pow_2E0,type,
    mono_2Ec_2Eextreal_2Eextreal__pow_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(mono_2Ec_2Eextreal_2Eextreal__pow_2E2,type,
    mono_2Ec_2Eextreal_2Eextreal__pow_2E2: ( mono_2Etyop_2Eextreal_2Eextreal * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Eextreal_2Eextreal__size_2E0,type,
    mono_2Ec_2Eextreal_2Eextreal__size_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Enum_2Enum_29 ).

tff(mono_2Ec_2Eextreal_2Eextreal__size_2E1,type,
    mono_2Ec_2Eextreal_2Eextreal__size_2E1: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Enum_2Enum ).

tff(mono_2Ec_2Eextreal_2Eextreal__sqrt_2E0,type,
    mono_2Ec_2Eextreal_2Eextreal__sqrt_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Ec_2Eextreal_2Eextreal__sqrt_2E1,type,
    mono_2Ec_2Eextreal_2Eextreal__sqrt_2E1: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Eextreal_2Eextreal__sub_2E0,type,
    mono_2Ec_2Eextreal_2Eextreal__sub_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(mono_2Ec_2Eextreal_2Eextreal__sub_2E2,type,
    mono_2Ec_2Eextreal_2Eextreal__sub_2E2: ( mono_2Etyop_2Eextreal_2Eextreal * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Eextreal_2Eextreal__sup_2E0,type,
    mono_2Ec_2Eextreal_2Eextreal__sup_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(mono_2Ec_2Eextreal_2Eextreal__sup_2E1,type,
    mono_2Ec_2Eextreal_2Eextreal__sup_2E1: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 > mono_2Etyop_2Eextreal_2Eextreal ).

tff(mono_2Ec_2Erealax_2Einv_2E0,type,
    mono_2Ec_2Erealax_2Einv_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).

tff(mono_2Ec_2Erealax_2Einv_2E1,type,
    mono_2Ec_2Erealax_2Einv_2E1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Ec_2Eutil__prob_2Elogr_2E0,type,
    mono_2Ec_2Eutil__prob_2Elogr_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 ).

tff(mono_2Ec_2Eutil__prob_2Elogr_2E2,type,
    mono_2Ec_2Eutil__prob_2Elogr_2E2: ( mono_2Etyop_2Erealax_2Ereal * mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Ec_2Eextreal_2Emono__decreasing_2E0,type,
    mono_2Ec_2Eextreal_2Emono__decreasing_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Ec_2Eextreal_2Emono__decreasing_2E1,type,
    mono_2Ec_2Eextreal_2Emono__decreasing_2E1: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Eextreal_2Emono__increasing_2E0,type,
    mono_2Ec_2Eextreal_2Emono__increasing_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Ec_2Eextreal_2Emono__increasing_2E1,type,
    mono_2Ec_2Eextreal_2Emono__increasing_2E1: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Ereal_2Epow_2E0,type,
    mono_2Ec_2Ereal_2Epow_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29 ).

tff(mono_2Ec_2Ereal_2Epow_2E2,type,
    mono_2Ec_2Ereal_2Epow_2E2: ( mono_2Etyop_2Erealax_2Ereal * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Ec_2Eextreal_2Ereal_2E0,type,
    mono_2Ec_2Eextreal_2Ereal_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Erealax_2Ereal_29 ).

tff(mono_2Ec_2Eextreal_2Ereal_2E1,type,
    mono_2Ec_2Eextreal_2Ereal_2E1: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Ec_2Erealax_2Ereal__add_2E0,type,
    mono_2Ec_2Erealax_2Ereal__add_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 ).

tff(mono_2Ec_2Erealax_2Ereal__add_2E2,type,
    mono_2Ec_2Erealax_2Ereal__add_2E2: ( mono_2Etyop_2Erealax_2Ereal * mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Ec_2Erealax_2Ereal__lt_2E0,type,
    mono_2Ec_2Erealax_2Ereal__lt_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Erealax_2Ereal__lt_2E2,type,
    mono_2Ec_2Erealax_2Ereal__lt_2E2: ( mono_2Etyop_2Erealax_2Ereal * mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Ereal_2Ereal__lte_2E0,type,
    mono_2Ec_2Ereal_2Ereal__lte_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Ereal_2Ereal__lte_2E2,type,
    mono_2Ec_2Ereal_2Ereal__lte_2E2: ( mono_2Etyop_2Erealax_2Ereal * mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Erealax_2Ereal__mul_2E0,type,
    mono_2Ec_2Erealax_2Ereal__mul_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 ).

tff(mono_2Ec_2Erealax_2Ereal__mul_2E2,type,
    mono_2Ec_2Erealax_2Ereal__mul_2E2: ( mono_2Etyop_2Erealax_2Ereal * mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Ec_2Erealax_2Ereal__neg_2E0,type,
    mono_2Ec_2Erealax_2Ereal__neg_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).

tff(mono_2Ec_2Erealax_2Ereal__neg_2E1,type,
    mono_2Ec_2Erealax_2Ereal__neg_2E1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Ec_2Ereal_2Ereal__of__num_2E0,type,
    mono_2Ec_2Ereal_2Ereal__of__num_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 ).

tff(mono_2Ec_2Ereal_2Ereal__of__num_2E1,type,
    mono_2Ec_2Ereal_2Ereal__of__num_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Ec_2Ereal_2Ereal__sub_2E0,type,
    mono_2Ec_2Ereal_2Ereal__sub_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 ).

tff(mono_2Ec_2Ereal_2Ereal__sub_2E2,type,
    mono_2Ec_2Ereal_2Ereal__sub_2E2: ( mono_2Etyop_2Erealax_2Ereal * mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Ec_2Etransc_2Esqrt_2E0,type,
    mono_2Ec_2Etransc_2Esqrt_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).

tff(mono_2Ec_2Etransc_2Esqrt_2E1,type,
    mono_2Ec_2Etransc_2Esqrt_2E1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Ec_2Eseq_2Esuminf_2E0,type,
    mono_2Ec_2Eseq_2Esuminf_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29 ).

tff(mono_2Ec_2Eseq_2Esuminf_2E1,type,
    mono_2Ec_2Eseq_2Esuminf_2E1: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Ec_2Ereal_2Esup_2E0,type,
    mono_2Ec_2Ereal_2Esup_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29 ).

tff(mono_2Ec_2Ereal_2Esup_2E1,type,
    mono_2Ec_2Ereal_2Esup_2E1: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 > mono_2Etyop_2Erealax_2Ereal ).

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_2Eextreal_2Eextreal,type,
    i_mono_2Etyop_2Eextreal_2Eextreal: mono_2Etyop_2Eextreal_2Eextreal > 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_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Enum_2Enum_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Enum_2Enum_29: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Enum_2Enum_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Erealax_2Ereal_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Erealax_2Ereal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Erealax_2Ereal_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29 > u ).

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

tff(i_mono_2Etyop_2Erealax_2Ereal,type,
    i_mono_2Etyop_2Erealax_2Ereal: mono_2Etyop_2Erealax_2Ereal > u ).

tff(i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29,type,
    i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29 > u ).

tff(j_mono_2Etyop_2Emin_2Ebool,type,
    j_mono_2Etyop_2Emin_2Ebool: du > mono_2Etyop_2Emin_2Ebool ).

tff(j_mono_2Etyop_2Eextreal_2Eextreal,type,
    j_mono_2Etyop_2Eextreal_2Eextreal: du > mono_2Etyop_2Eextreal_2Eextreal ).

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_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Enum_2Enum_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Enum_2Enum_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Erealax_2Ereal_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Erealax_2Ereal_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Erealax_2Ereal_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29 ).

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

tff(j_mono_2Etyop_2Erealax_2Ereal,type,
    j_mono_2Etyop_2Erealax_2Ereal: du > mono_2Etyop_2Erealax_2Ereal ).

tff(j_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29,type,
    j_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29: du > mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29 ).

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_2Eextreal_2Eextreal,axiom,
    ! [V0_2E0: u] : s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,V0_2E0)))) = s(tyop_2Eextreal_2Eextreal,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_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal))),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal))),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal)))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal)))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal)))),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Ebool))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Ebool))),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal))),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Ebool)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Enum_2Enum_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Enum_2Enum),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Enum_2Enum_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Enum_2Enum_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Enum_2Enum),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Enum_2Enum),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Erealax_2Ereal_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Erealax_2Ereal_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Erealax_2Ereal_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Erealax_2Ereal),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Erealax_2Ereal),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool))),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal))),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Emin_2Ebool),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool))),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Ebool),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool))),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Emin_2Ebool),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool))),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Erealax_2Ereal),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Erealax_2Ereal),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Erealax_2Ereal),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Erealax_2Ereal),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Ebool),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Emin_2Ebool)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),V0_2E0) ).

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

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),V0_2E0) ).

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

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)))),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal))),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),tyop_2Emin_2Ebool),V0_2E0) ).

tff(ij_2Emono_2Etyop_2Enum_2Enum,axiom,
    ! [V0_2E0: u] : s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,V0_2E0)))) = s(tyop_2Enum_2Enum,V0_2E0) ).

tff(ij_2Emono_2Etyop_2Erealax_2Ereal,axiom,
    ! [V0_2E0: u] : s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,V0_2E0)))) = s(tyop_2Erealax_2Ereal,V0_2E0) ).

tff(ij_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29,axiom,
    ! [V0_2E0: u] : s(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29(j_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29(s(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),V0_2E0)))) = s(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),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_2Eextreal_2Eextreal,axiom,
    ! [V0_2E0: mono_2Etyop_2Eextreal_2Eextreal] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(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_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal)))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Enum_2Enum_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Enum_2Enum_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Enum_2Enum_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Enum_2Enum),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Enum_2Enum_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Erealax_2Ereal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Erealax_2Ereal_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Erealax_2Ereal_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Erealax_2Ereal_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Enum_2Enum,axiom,
    ! [V0_2E0: mono_2Etyop_2Enum_2Enum] : j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Erealax_2Ereal,axiom,
    ! [V0_2E0: mono_2Etyop_2Erealax_2Ereal] : j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V0_2E0))) = V0_2E0 ).

tff(ji_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29] : j_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29(s(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29(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_2Earithmetic_2E_2A_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Enum_2Enum,X1_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Earithmetic_2E_2A_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2A_2E0,X0_2E0),X1_2E0) ).

tff(arityeq2_2Ec_2Earithmetic_2E_2B_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Enum_2Enum,X1_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Earithmetic_2E_2B_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2B_2E0,X0_2E0),X1_2E0) ).

tff(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] : s(tyop_2Epair_2Eprod(A_27a,A_27b),c_2Epair_2E_2C_2E2(s(A_27a,X0_2E0),s(A_27b,X1_2E0))) = s(tyop_2Epair_2Eprod(A_27a,A_27b),app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Epair_2Eprod(A_27a,A_27b)),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Epair_2Eprod(A_27a,A_27b))),c_2Epair_2E_2C_2E0),s(A_27a,X0_2E0))),s(A_27b,X1_2E0))) ).

tff(arityeq2_2Ec_2Eseq_2E_2D_2D_3E_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,X1_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Eseq_2E_2D_2D_3E_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eseq_2E_2D_2D_3E_2E0,X0_2E0),X1_2E0) ).

tff(arityeq2_2Ec_2Ereal_2E_2F_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Erealax_2Ereal,X1_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Ereal_2E_2F_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(mono_2Ec_2Ereal_2E_2F_2E0,X0_2E0),X1_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_2Earithmetic_2E_3C_3D_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Enum_2Enum,X1_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_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(arityeq1_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29] : mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(mono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,X0_2E0) ).

tff(arityeq1_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Erealax_2Ereal,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29] : mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Erealax_2Ereal(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Erealax_2Ereal,X0_2E0) ).

tff(arityeq1_2Ec_2Earithmetic_2EBIT1_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Earithmetic_2EBIT1_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2EBIT1_2E0,X0_2E0) ).

tff(arityeq1_2Ec_2Earithmetic_2EBIT2_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Earithmetic_2EBIT2_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2EBIT2_2E0,X0_2E0) ).

tff(arityeq1_2Ec_2Epred__set_2ECARD_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u] : j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,c_2Epred__set_2ECARD_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))) = j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Enum_2Enum),c_2Epred__set_2ECARD_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))) ).

tff(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Ebool,X1_2E0: mono_2Etyop_2Eextreal_2Eextreal,X2_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(X0_2E0,X1_2E0,X2_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,X0_2E0),X1_2E0),X2_2E0) ).

tff(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Erealax_2Ereal,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Ebool,X1_2E0: mono_2Etyop_2Erealax_2Ereal,X2_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Erealax_2Ereal(X0_2E0,X1_2E0,X2_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Erealax_2Ereal,X0_2E0),X1_2E0),X2_2E0) ).

tff(arityeq3_2Ec_2Eind__type_2ECONSTR_2E3_2Emono_2Etyop_2Erealax_2Ereal,axiom,
    ! [X0_2E0: mono_2Etyop_2Enum_2Enum,X1_2E0: mono_2Etyop_2Erealax_2Ereal,X2_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29] : mono_2Ec_2Eind__type_2ECONSTR_2E3_2Emono_2Etyop_2Erealax_2Ereal(X0_2E0,X1_2E0,X2_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29(mono_2Ec_2Eind__type_2ECONSTR_2E0_2Emono_2Etyop_2Erealax_2Ereal,X0_2E0),X1_2E0),X2_2E0) ).

tff(arityeq2_2Ec_2Epred__set_2ECROSS_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool))),c_2Epred__set_2ECROSS_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0))) ).

tff(arityeq2_2Ec_2Epred__set_2ECROSS_2E2_2Emono_2EA_27b_20mono_2EA_27a,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27b,A_27a),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27b,A_27a),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27b,A_27a),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27b,A_27a),tyop_2Emin_2Ebool))),c_2Epred__set_2ECROSS_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) ).

tff(arityeq1_2Ec_2Ebool_2EDATATYPE_2E1_2Emono_2Etyop_2Emin_2Ebool,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Ebool] : mono_2Ec_2Ebool_2EDATATYPE_2E1_2Emono_2Etyop_2Emin_2Ebool(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2EDATATYPE_2E0_2Emono_2Etyop_2Emin_2Ebool,X0_2E0) ).

tff(arityeq2_2Ec_2Epred__set_2EDELETE_2E2_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u,X1_2E0: u] : s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(A_27a,X1_2E0))) = 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)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),c_2Epred__set_2EDELETE_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(A_27a,X1_2E0))) ).

tff(arityeq2_2Ec_2Epred__set_2EDIFF_2E2_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u,X1_2E0: u] : s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EDIFF_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),c_2Epred__set_2EDIFF_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) ).

tff(arityeq2_2Ec_2Epred__set_2EDISJOINT_2E2_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u,X1_2E0: u] : j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EDISJOINT_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_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),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Epred__set_2EDISJOINT_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0)))) ).

tff(arityeq1_2Ec_2Earithmetic_2EEVEN_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Earithmetic_2EEVEN_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Earithmetic_2EEVEN_2E0,X0_2E0) ).

tff(arityeq2_2Ec_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u,X1_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0)))) = j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0)))) ).

tff(arityeq2_2Ec_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2_2Emono_2EA_27b,axiom,
    ! [A_27b: d,X0_2E0: u,X1_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal),X0_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0)))) = j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal),X0_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0)))) ).

tff(arityeq2_2Ec_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2_2Emono_2Etyop_2Enum_2Enum,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,X1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29] : mono_2Ec_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2_2Emono_2Etyop_2Enum_2Enum(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29(mono_2Ec_2Eextreal_2EEXTREAL__SUM__IMAGE_2E0_2Emono_2Etyop_2Enum_2Enum,X0_2E0),X1_2E0) ).

tff(arityeq2_2Ec_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2_2Emono_2Etyop_2Epair_2Eprod_28A_27a_2CA_27b_29,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Eextreal_2Eextreal),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool),X1_2E0)))) = j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Eextreal_2Eextreal),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool),X1_2E0)))) ).

tff(arityeq2_2Ec_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2_2Emono_2Etyop_2Epair_2Eprod_28A_27b_2CA_27a_29,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27b,A_27a),tyop_2Eextreal_2Eextreal),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27b,A_27a),tyop_2Emin_2Ebool),X1_2E0)))) = j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27b,A_27a),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27b,A_27a),tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27b,A_27a),tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27b,A_27a),tyop_2Eextreal_2Eextreal),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27b,A_27a),tyop_2Emin_2Ebool),X1_2E0)))) ).

tff(arityeq1_2Ec_2Epred__set_2EFINITE_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u] : j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_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_2Epred__set_2EFINITE_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))) ).

tff(arityeq1_2Ec_2Epred__set_2EFINITE_2E1_2Emono_2EA_27b,axiom,
    ! [A_27b: d,X0_2E0: u] : j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X0_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Epred__set_2EFINITE_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X0_2E0)))) ).

tff(arityeq1_2Ec_2Epred__set_2EFINITE_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29] : mono_2Ec_2Epred__set_2EFINITE_2E1_2Emono_2Etyop_2Enum_2Enum(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Epred__set_2EFINITE_2E0_2Emono_2Etyop_2Enum_2Enum,X0_2E0) ).

tff(arityeq1_2Ec_2Epair_2EFST_2E1_2Emono_2EA_27a_20mono_2EA_27b,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u] : s(A_27a,c_2Epair_2EFST_2E1(s(tyop_2Epair_2Eprod(A_27a,A_27b),X0_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),A_27a),c_2Epair_2EFST_2E0),s(tyop_2Epair_2Eprod(A_27a,A_27b),X0_2E0))) ).

tff(arityeq1_2Ec_2Ecombin_2EI_2E1_2Emono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [X0_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Ecombin_2EI_2E1_2Emono_2Etyop_2Eextreal_2Eextreal(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Ecombin_2EI_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,X0_2E0) ).

tff(arityeq2_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] : s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),c_2Epred__set_2EIMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool))),c_2Epred__set_2EIMAGE_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) ).

tff(arityeq2_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2EA_27a_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [A_27a: d,X0_2E0: u,X1_2E0: u] : j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),c_2Epred__set_2EIMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0)))) = j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool))),c_2Epred__set_2EIMAGE_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0)))) ).

tff(arityeq2_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,X1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] : mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(mono_2Ec_2Epred__set_2EIMAGE_2E0_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,X0_2E0),X1_2E0) ).

tff(arityeq2_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,X1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29] : mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(mono_2Ec_2Epred__set_2EIMAGE_2E0_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal,X0_2E0),X1_2E0) ).

tff(arityeq2_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,X1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29] : mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(mono_2Ec_2Epred__set_2EIMAGE_2E0_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal,X0_2E0),X1_2E0) ).

tff(arityeq2_2Ec_2Ebool_2EIN_2E2_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u,X1_2E0: u] : j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_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),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2EIN_2E0),s(A_27a,X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0)))) ).

tff(arityeq2_2Ec_2Ebool_2EIN_2E2_2Emono_2Etyop_2Enum_2Enum,axiom,
    ! [X0_2E0: mono_2Etyop_2Enum_2Enum,X1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29] : mono_2Ec_2Ebool_2EIN_2E2_2Emono_2Etyop_2Enum_2Enum(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2EIN_2E0_2Emono_2Etyop_2Enum_2Enum,X0_2E0),X1_2E0) ).

tff(arityeq3_2Ec_2Epred__set_2EINJ_2E3_2Emono_2EA_27a_20mono_2EA_27b,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] : j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EINJ_2E3(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X2_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool))),c_2Epred__set_2EINJ_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X2_2E0)))) ).

tff(arityeq2_2Ec_2Epred__set_2EINSERT_2E2_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u,X1_2E0: u] : s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EINSERT_2E2(s(A_27a,X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),c_2Epred__set_2EINSERT_2E0),s(A_27a,X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) ).

tff(arityeq2_2Ec_2Epred__set_2EINTER_2E2_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u,X1_2E0: u] : s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EINTER_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),c_2Epred__set_2EINTER_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) ).

tff(arityeq3_2Ec_2Epred__set_2EITSET_2E3_2Emono_2EA_27a_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [A_27a: d,X0_2E0: u,X1_2E0: u,X2_2E0: mono_2Etyop_2Eextreal_2Eextreal] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Epred__set_2EITSET_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(X2_2E0))))) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal))),c_2Epred__set_2EITSET_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0)))),X2_2E0) ).

tff(arityeq1_2Ec_2Earithmetic_2ENUMERAL_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2ENUMERAL_2E0,X0_2E0) ).

tff(arityeq1_2Ec_2Eextreal_2ENormal_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Eextreal_2ENormal_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2ENormal_2E0,X0_2E0) ).

tff(arityeq1_2Ec_2Earithmetic_2EODD_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Earithmetic_2EODD_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Earithmetic_2EODD_2E0,X0_2E0) ).

tff(arityeq2_2Ec_2Ereal__sigma_2EREAL__SUM__IMAGE_2E2_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u,X1_2E0: u] : j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ereal__sigma_2EREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Erealax_2Ereal),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0)))) = j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Erealax_2Ereal)),c_2Ereal__sigma_2EREAL__SUM__IMAGE_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Erealax_2Ereal),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0)))) ).

tff(arityeq1_2Ec_2Epair_2ESND_2E1_2Emono_2EA_27a_20mono_2EA_27b,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u] : s(A_27b,c_2Epair_2ESND_2E1(s(tyop_2Epair_2Eprod(A_27a,A_27b),X0_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),A_27b),c_2Epair_2ESND_2E0),s(tyop_2Epair_2Eprod(A_27a,A_27b),X0_2E0))) ).

tff(arityeq2_2Ec_2Epred__set_2ESUBSET_2E2_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u,X1_2E0: u] : j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_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),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Epred__set_2ESUBSET_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0)))) ).

tff(arityeq1_2Ec_2Enum_2ESUC_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Enum_2ESUC_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Ec_2Enum_2ESUC_2E0,X0_2E0) ).

tff(arityeq2_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,X1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29] : mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Eextreal_2Eextreal(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E0_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Eextreal_2Eextreal,X0_2E0),X1_2E0) ).

tff(arityeq1_2Ec_2Epair_2EUNCURRY_2E1_2Emono_2EA_27a_20mono_2EA_27b_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Eextreal_2Eextreal),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal)),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Eextreal_2Eextreal)),c_2Epair_2EUNCURRY_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal)),X0_2E0))) ).

tff(arityeq1_2Ec_2Epair_2EUNCURRY_2E1_2Emono_2EA_27b_20mono_2EA_27a_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u] : s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27b,A_27a),tyop_2Eextreal_2Eextreal),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27b,A_27a),tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27b,A_27a),tyop_2Eextreal_2Eextreal)),c_2Epair_2EUNCURRY_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),X0_2E0))) ).

tff(arityeq2_2Ec_2Epred__set_2EUNION_2E2_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u,X1_2E0: u] : s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EUNION_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),c_2Epred__set_2EUNION_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) ).

tff(arityeq1_2Ec_2Erelation_2EWF_2E1_2Emono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29] : mono_2Ec_2Erelation_2EWF_2E1_2Emono_2Etyop_2Eextreal_2Eextreal(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Erelation_2EWF_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,X0_2E0) ).

tff(arityeq2_2Ec_2Erelation_2EWFREC_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,X1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29] : mono_2Ec_2Erelation_2EWFREC_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Ec_2Erelation_2EWFREC_2E0_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,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_2Ereal_2Eabs_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Ereal_2Eabs_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Ereal_2Eabs_2E0,X0_2E0) ).

tff(arityeq1_2Ec_2Epred__set_2Ecount_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Epred__set_2Ecount_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Epred__set_2Ecount_2E0,X0_2E0) ).

tff(arityeq1_2Ec_2Etransc_2Eexp_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Etransc_2Eexp_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Etransc_2Eexp_2E0,X0_2E0) ).

tff(arityeq1_2Ec_2Eextreal_2Eext__mono__decreasing_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29] : mono_2Ec_2Eextreal_2Eext__mono__decreasing_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Eextreal_2Eext__mono__decreasing_2E0,X0_2E0) ).

tff(arityeq1_2Ec_2Eextreal_2Eext__mono__increasing_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29] : mono_2Ec_2Eextreal_2Eext__mono__increasing_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Eextreal_2Eext__mono__increasing_2E0,X0_2E0) ).

tff(arityeq1_2Ec_2Eextreal_2Eext__suminf_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29] : mono_2Ec_2Eextreal_2Eext__suminf_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2Eext__suminf_2E0,X0_2E0) ).

tff(arityeq4_2Ec_2Eextreal_2Eextreal__CASE_2E4_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: mono_2Etyop_2Eextreal_2Eextreal,X1_2E0: u,X2_2E0: u,X3_2E0: u] : s(A_27a,c_2Eextreal_2Eextreal__CASE_2E4(s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(X0_2E0)),s(A_27a,X1_2E0),s(A_27a,X2_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,A_27a),X3_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,A_27a),A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,A_27a),A_27a)),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,A_27a),A_27a))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,A_27a),A_27a)))),c_2Eextreal_2Eextreal__CASE_2E0),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(X0_2E0)))),s(A_27a,X1_2E0))),s(A_27a,X2_2E0))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,A_27a),X3_2E0))) ).

tff(arityeq4_2Ec_2Eextreal_2Eextreal__CASE_2E4_2Emono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [X0_2E0: mono_2Etyop_2Eextreal_2Eextreal,X1_2E0: mono_2Etyop_2Eextreal_2Eextreal,X2_2E0: mono_2Etyop_2Eextreal_2Eextreal,X3_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29] : mono_2Ec_2Eextreal_2Eextreal__CASE_2E4_2Emono_2Etyop_2Eextreal_2Eextreal(X0_2E0,X1_2E0,X2_2E0,X3_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29(mono_2Ec_2Eextreal_2Eextreal__CASE_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,X0_2E0),X1_2E0),X2_2E0),X3_2E0) ).

tff(arityeq1_2Ec_2Eextreal_2Eextreal__abs_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__abs_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2Eextreal__abs_2E0,X0_2E0) ).

tff(arityeq2_2Ec_2Eextreal_2Eextreal__add_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Eextreal_2Eextreal,X1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__add_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Ec_2Eextreal_2Eextreal__add_2E0,X0_2E0),X1_2E0) ).

tff(arityeq1_2Ec_2Eextreal_2Eextreal__ainv_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2Eextreal__ainv_2E0,X0_2E0) ).

tff(arityeq2_2Ec_2Eextreal_2Eextreal__div_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Eextreal_2Eextreal,X1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__div_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Ec_2Eextreal_2Eextreal__div_2E0,X0_2E0),X1_2E0) ).

tff(arityeq1_2Ec_2Eextreal_2Eextreal__exp_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__exp_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2Eextreal__exp_2E0,X0_2E0) ).

tff(arityeq1_2Ec_2Eextreal_2Eextreal__inf_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] : mono_2Ec_2Eextreal_2Eextreal__inf_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2Eextreal__inf_2E0,X0_2E0) ).

tff(arityeq1_2Ec_2Eextreal_2Eextreal__inv_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__inv_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2Eextreal__inv_2E0,X0_2E0) ).

tff(arityeq2_2Ec_2Eextreal_2Eextreal__le_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Eextreal_2Eextreal,X1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__le_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,X0_2E0),X1_2E0) ).

tff(arityeq1_2Ec_2Eextreal_2Eextreal__lg_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__lg_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2Eextreal__lg_2E0,X0_2E0) ).

tff(arityeq2_2Ec_2Eextreal_2Eextreal__logr_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Erealax_2Ereal,X1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__logr_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Ec_2Eextreal_2Eextreal__logr_2E0,X0_2E0),X1_2E0) ).

tff(arityeq2_2Ec_2Eextreal_2Eextreal__lt_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Eextreal_2Eextreal,X1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__lt_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__lt_2E0,X0_2E0),X1_2E0) ).

tff(arityeq2_2Ec_2Eextreal_2Eextreal__max_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Eextreal_2Eextreal,X1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__max_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Ec_2Eextreal_2Eextreal__max_2E0,X0_2E0),X1_2E0) ).

tff(arityeq2_2Ec_2Eextreal_2Eextreal__min_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Eextreal_2Eextreal,X1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__min_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Ec_2Eextreal_2Eextreal__min_2E0,X0_2E0),X1_2E0) ).

tff(arityeq2_2Ec_2Eextreal_2Eextreal__mul_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Eextreal_2Eextreal,X1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__mul_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Ec_2Eextreal_2Eextreal__mul_2E0,X0_2E0),X1_2E0) ).

tff(arityeq1_2Ec_2Eextreal_2Eextreal__of__num_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2Eextreal__of__num_2E0,X0_2E0) ).

tff(arityeq2_2Ec_2Eextreal_2Eextreal__pow_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Eextreal_2Eextreal,X1_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Eextreal_2Eextreal__pow_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(mono_2Ec_2Eextreal_2Eextreal__pow_2E0,X0_2E0),X1_2E0) ).

tff(arityeq1_2Ec_2Eextreal_2Eextreal__size_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__size_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Enum_2Enum(mono_2Ec_2Eextreal_2Eextreal__size_2E0,X0_2E0) ).

tff(arityeq1_2Ec_2Eextreal_2Eextreal__sqrt_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__sqrt_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2Eextreal__sqrt_2E0,X0_2E0) ).

tff(arityeq2_2Ec_2Eextreal_2Eextreal__sub_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Eextreal_2Eextreal,X1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__sub_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Ec_2Eextreal_2Eextreal__sub_2E0,X0_2E0),X1_2E0) ).

tff(arityeq1_2Ec_2Eextreal_2Eextreal__sup_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] : mono_2Ec_2Eextreal_2Eextreal__sup_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2Eextreal__sup_2E0,X0_2E0) ).

tff(arityeq1_2Ec_2Erealax_2Einv_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Erealax_2Einv_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Einv_2E0,X0_2E0) ).

tff(arityeq2_2Ec_2Eutil__prob_2Elogr_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Erealax_2Ereal,X1_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Eutil__prob_2Elogr_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(mono_2Ec_2Eutil__prob_2Elogr_2E0,X0_2E0),X1_2E0) ).

tff(arityeq1_2Ec_2Eextreal_2Emono__decreasing_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29] : mono_2Ec_2Eextreal_2Emono__decreasing_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Eextreal_2Emono__decreasing_2E0,X0_2E0) ).

tff(arityeq1_2Ec_2Eextreal_2Emono__increasing_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29] : mono_2Ec_2Eextreal_2Emono__increasing_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Eextreal_2Emono__increasing_2E0,X0_2E0) ).

tff(arityeq2_2Ec_2Ecombin_2Eo_2E2_2Emono_2EA_27a_20mono_2Etyop_2Eextreal_2Eextreal_20mono_2EA_27b,axiom,
    ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] : s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),c_2Ecombin_2Eo_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal),X0_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X1_2E0))) = s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal))),c_2Ecombin_2Eo_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),X1_2E0))) ).

tff(arityeq2_2Ec_2Ereal_2Epow_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Erealax_2Ereal,X1_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Ereal_2Epow_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29(mono_2Ec_2Ereal_2Epow_2E0,X0_2E0),X1_2E0) ).

tff(arityeq1_2Ec_2Eextreal_2Ereal_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Ereal_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Eextreal_2Ereal_2E0,X0_2E0) ).

tff(arityeq2_2Ec_2Erealax_2Ereal__add_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Erealax_2Ereal,X1_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Erealax_2Ereal__add_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(mono_2Ec_2Erealax_2Ereal__add_2E0,X0_2E0),X1_2E0) ).

tff(arityeq2_2Ec_2Erealax_2Ereal__lt_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Erealax_2Ereal,X1_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Erealax_2Ereal__lt_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Erealax_2Ereal__lt_2E0,X0_2E0),X1_2E0) ).

tff(arityeq2_2Ec_2Ereal_2Ereal__lte_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Erealax_2Ereal,X1_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Ereal_2Ereal__lte_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ereal_2Ereal__lte_2E0,X0_2E0),X1_2E0) ).

tff(arityeq2_2Ec_2Erealax_2Ereal__mul_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Erealax_2Ereal,X1_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Erealax_2Ereal__mul_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(mono_2Ec_2Erealax_2Ereal__mul_2E0,X0_2E0),X1_2E0) ).

tff(arityeq1_2Ec_2Erealax_2Ereal__neg_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Erealax_2Ereal__neg_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__neg_2E0,X0_2E0) ).

tff(arityeq1_2Ec_2Ereal_2Ereal__of__num_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Ereal_2Ereal__of__num_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Ereal_2Ereal__of__num_2E0,X0_2E0) ).

tff(arityeq2_2Ec_2Ereal_2Ereal__sub_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Erealax_2Ereal,X1_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Ereal_2Ereal__sub_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(mono_2Ec_2Ereal_2Ereal__sub_2E0,X0_2E0),X1_2E0) ).

tff(arityeq1_2Ec_2Etransc_2Esqrt_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Etransc_2Esqrt_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Etransc_2Esqrt_2E0,X0_2E0) ).

tff(arityeq1_2Ec_2Eseq_2Esuminf_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29] : mono_2Ec_2Eseq_2Esuminf_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Eseq_2Esuminf_2E0,X0_2E0) ).

tff(arityeq1_2Ec_2Ereal_2Esup_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29] : mono_2Ec_2Ereal_2Esup_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Ereal_2Esup_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_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29,V1_2E0: mono_2Etyop_2Emin_2Ebool] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_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_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29,V1_2E0: mono_2Etyop_2Emin_2Ebool] : s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29(V0_2E0)),s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,V1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(V0_2E0,V1_2E0))) = s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0)),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,V1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0)),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29_29,V1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal)))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29_29(V0_2E0)),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29_29,V1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29_29(V0_2E0)),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29,V1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29(V0_2E0)),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,V1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(V0_2E0)),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29,V1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0)),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,V1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0)),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Enum_2Enum,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Enum_2Enum_29,V1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Enum_2Enum(V0_2E0,V1_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Enum_2Enum),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Enum_2Enum_29(V0_2E0)),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Erealax_2Ereal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Erealax_2Ereal_29,V1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Erealax_2Ereal(V0_2E0,V1_2E0))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Erealax_2Ereal_29(V0_2E0)),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] : s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_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_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] : s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Eextreal_2Eextreal(V0_2E0,V1_2E0))) = s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] : s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29] : s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_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_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29] : s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29] : s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_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_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29] : s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Eextreal_2Eextreal(V0_2E0,V1_2E0))) = s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29] : s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29] : s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29] : s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29] : s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Eextreal_2Eextreal(V0_2E0,V1_2E0))) = s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29] : s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29] : s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29] : s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29] : s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29] : s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29] : s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Erealax_2Ereal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29] : s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Erealax_2Ereal(V0_2E0,V1_2E0))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Erealax_2Ereal_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29] : s(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29(V0_2E0,V1_2E0))) = s(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29] : s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal(V0_2E0,V1_2E0))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29] : s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29] : s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Eextreal_2Eextreal(V0_2E0,V1_2E0))) = s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Enum_2Enum] : s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,V1_2E0: mono_2Etyop_2Enum_2Enum] : s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0_2E0,V1_2E0))) = s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0)),s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Enum_2Enum] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Enum_2Enum] : s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,V1_2E0: mono_2Etyop_2Enum_2Enum] : s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0)),s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,V1_2E0: mono_2Etyop_2Enum_2Enum] : s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29(V0_2E0)),s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29_29,V1_2E0: mono_2Etyop_2Enum_2Enum] : s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29_29(V0_2E0)),s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,V1_2E0: mono_2Etyop_2Enum_2Enum] : s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(V0_2E0,V1_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(V0_2E0)),s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,V1_2E0: mono_2Etyop_2Enum_2Enum] : s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal(V0_2E0,V1_2E0))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29(V0_2E0)),s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29,V1_2E0: mono_2Etyop_2Enum_2Enum] : s(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29(V0_2E0,V1_2E0))) = s(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29(V0_2E0)),s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Erealax_2Ereal] : s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29,V1_2E0: mono_2Etyop_2Erealax_2Ereal] : s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Eextreal_2Eextreal(V0_2E0,V1_2E0))) = s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0)),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,V1_2E0: mono_2Etyop_2Erealax_2Ereal] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0)),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,V1_2E0: mono_2Etyop_2Erealax_2Ereal] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29(V0_2E0)),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29,V1_2E0: mono_2Etyop_2Erealax_2Ereal] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29(V0_2E0)),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29,V1_2E0: mono_2Etyop_2Erealax_2Ereal] : s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_29(V0_2E0)),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Erealax_2Ereal] : s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29,V1_2E0: mono_2Etyop_2Erealax_2Ereal] : s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29(V0_2E0)),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,V1_2E0: mono_2Etyop_2Erealax_2Ereal] : s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(V0_2E0,V1_2E0))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(V0_2E0)),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V1_2E0)))) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29] : s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29(mono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool))),c_2Emin_2E_40_2E0) ).

tff(monoeq_2Emono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)))) ).

tff(monoeq_2Emono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Erealax_2Ereal,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29(mono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Erealax_2Ereal)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Erealax_2Ereal),c_2Emin_2E_40_2E0) ).

tff(monoeq_2Emono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Erealax_2Ereal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29] : s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Erealax_2Ereal(V0_2E0))) = s(tyop_2Erealax_2Ereal,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(V0_2E0)))) ).

tff(monoeq_2Emono_2Ec_2Ebool_2EARB_2E0_2Emono_2Etyop_2Erealax_2Ereal,axiom,
    s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Ebool_2EARB_2E0_2Emono_2Etyop_2Erealax_2Ereal)) = s(tyop_2Erealax_2Ereal,c_2Ebool_2EARB_2E0) ).

tff(monoeq_2Emono_2Ec_2Eind__type_2EBOTTOM_2E0_2Emono_2Etyop_2Erealax_2Ereal,axiom,
    s(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29(mono_2Ec_2Eind__type_2EBOTTOM_2E0_2Emono_2Etyop_2Erealax_2Ereal)) = s(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),c_2Eind__type_2EBOTTOM_2E0) ).

tff(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal))),c_2Ebool_2ECOND_2E0) ).

tff(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Ebool,V1_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2_2E0: mono_2Etyop_2Eextreal_2Eextreal] : s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(V0_2E0,V1_2E0,V2_2E0))) = s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(V0_2E0)),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V1_2E0)),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V2_2E0)))) ).

tff(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Erealax_2Ereal,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Erealax_2Ereal)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal))),c_2Ebool_2ECOND_2E0) ).

tff(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Erealax_2Ereal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Ebool,V1_2E0: mono_2Etyop_2Erealax_2Ereal,V2_2E0: mono_2Etyop_2Erealax_2Ereal] : s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Erealax_2Ereal(V0_2E0,V1_2E0,V2_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(V0_2E0)),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V1_2E0)),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V2_2E0)))) ).

tff(monoeq_2Emono_2Ec_2Eind__type_2ECONSTR_2E0_2Emono_2Etyop_2Erealax_2Ereal,axiom,
    s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_29_29(mono_2Ec_2Eind__type_2ECONSTR_2E0_2Emono_2Etyop_2Erealax_2Ereal)) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)))),c_2Eind__type_2ECONSTR_2E0) ).

tff(monoeq_2Emono_2Ec_2Eind__type_2ECONSTR_2E3_2Emono_2Etyop_2Erealax_2Ereal,axiom,
    ! [V0_2E0: mono_2Etyop_2Enum_2Enum,V1_2E0: mono_2Etyop_2Erealax_2Ereal,V2_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29] : s(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),i_mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29(mono_2Ec_2Eind__type_2ECONSTR_2E3_2Emono_2Etyop_2Erealax_2Ereal(V0_2E0,V1_2E0,V2_2E0))) = s(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),c_2Eind__type_2ECONSTR_2E3(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(V0_2E0)),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V1_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29(V2_2E0)))) ).

tff(monoeq_2Emono_2Ec_2Ebool_2EDATATYPE_2E0_2Emono_2Etyop_2Emin_2Ebool,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2EDATATYPE_2E0_2Emono_2Etyop_2Emin_2Ebool)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2EDATATYPE_2E0) ).

tff(monoeq_2Emono_2Ec_2Ebool_2EDATATYPE_2E1_2Emono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Ebool] : s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2EDATATYPE_2E1_2Emono_2Etyop_2Emin_2Ebool(V0_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2EDATATYPE_2E1(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(V0_2E0)))) ).

tff(monoeq_2Emono_2Ec_2Eextreal_2EEXTREAL__SUM__IMAGE_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Ec_2Eextreal_2EEXTREAL__SUM__IMAGE_2E0_2Emono_2Etyop_2Enum_2Enum)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Eextreal_2Eextreal)),c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E0) ).

tff(monoeq_2Emono_2Ec_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2_2Emono_2Etyop_2Enum_2Enum,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29] : s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2_2Emono_2Etyop_2Enum_2Enum(V0_2E0,V1_2E0))) = s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Ec_2Epred__set_2EFINITE_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Epred__set_2EFINITE_2E0_2Emono_2Etyop_2Enum_2Enum)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Epred__set_2EFINITE_2E0) ).

tff(monoeq_2Emono_2Ec_2Epred__set_2EFINITE_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29] : s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Epred__set_2EFINITE_2E1_2Emono_2Etyop_2Enum_2Enum(V0_2E0))) = s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(V0_2E0)))) ).

tff(monoeq_2Emono_2Ec_2Ecombin_2EI_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,axiom,
    s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Ec_2Ecombin_2EI_2E0_2Emono_2Etyop_2Eextreal_2Eextreal)) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),c_2Ecombin_2EI_2E0) ).

tff(monoeq_2Emono_2Ec_2Ecombin_2EI_2E1_2Emono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [V0_2E0: mono_2Etyop_2Eextreal_2Eextreal] : s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Ecombin_2EI_2E1_2Emono_2Etyop_2Eextreal_2Eextreal(V0_2E0))) = s(tyop_2Eextreal_2Eextreal,c_2Ecombin_2EI_2E1(s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V0_2E0)))) ).

tff(monoeq_2Emono_2Ec_2Epred__set_2EIMAGE_2E0_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29(mono_2Ec_2Epred__set_2EIMAGE_2E0_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool))),c_2Epred__set_2EIMAGE_2E0) ).

tff(monoeq_2Emono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),c_2Epred__set_2EIMAGE_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Ec_2Epred__set_2EIMAGE_2E0_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29(mono_2Ec_2Epred__set_2EIMAGE_2E0_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool))),c_2Epred__set_2EIMAGE_2E0) ).

tff(monoeq_2Emono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),c_2Epred__set_2EIMAGE_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Ec_2Epred__set_2EIMAGE_2E0_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29_29(mono_2Ec_2Epred__set_2EIMAGE_2E0_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool))),c_2Epred__set_2EIMAGE_2E0) ).

tff(monoeq_2Emono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29] : s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Epred__set_2EIMAGE_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Ec_2Ebool_2EIN_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
    s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29(mono_2Ec_2Ebool_2EIN_2E0_2Emono_2Etyop_2Enum_2Enum)) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2EIN_2E0) ).

tff(monoeq_2Emono_2Ec_2Ebool_2EIN_2E2_2Emono_2Etyop_2Enum_2Enum,axiom,
    ! [V0_2E0: mono_2Etyop_2Enum_2Enum,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29] : s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2EIN_2E2_2Emono_2Etyop_2Enum_2Enum(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Ec_2Ebool_2ETYPE__DEFINITION_2E0_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29_2Ctyop_2Emin_2Ebool_29_29(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E0_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Eextreal_2Eextreal)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),tyop_2Emin_2Ebool)),c_2Ebool_2ETYPE__DEFINITION_2E0) ).

tff(monoeq_2Emono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29] : s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Eextreal_2Eextreal(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eind__type_2Erecspace(tyop_2Erealax_2Ereal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
    s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum)) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0) ).

tff(monoeq_2Emono_2Ec_2Erelation_2EWF_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Erelation_2EWF_2E0_2Emono_2Etyop_2Eextreal_2Eextreal)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),c_2Erelation_2EWF_2E0) ).

tff(monoeq_2Emono_2Ec_2Erelation_2EWF_2E1_2Emono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29] : s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Erelation_2EWF_2E1_2Emono_2Etyop_2Eextreal_2Eextreal(V0_2E0))) = s(tyop_2Emin_2Ebool,c_2Erelation_2EWF_2E1(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)))) ).

tff(monoeq_2Emono_2Ec_2Erelation_2EWFREC_2E0_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29(mono_2Ec_2Erelation_2EWFREC_2E0_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal))),c_2Erelation_2EWFREC_2E0) ).

tff(monoeq_2Emono_2Ec_2Erelation_2EWFREC_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29] : s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Ec_2Erelation_2EWFREC_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),c_2Erelation_2EWFREC_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(V1_2E0)))) ).

tff(monoeq_2Emono_2Ec_2Eextreal_2Eextreal__CASE_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,axiom,
    s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal)))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Eextreal_2Eextreal_29_29_29_29(mono_2Ec_2Eextreal_2Eextreal__CASE_2E0_2Emono_2Etyop_2Eextreal_2Eextreal)) = s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),tyop_2Eextreal_2Eextreal)))),c_2Eextreal_2Eextreal__CASE_2E0) ).

tff(monoeq_2Emono_2Ec_2Eextreal_2Eextreal__CASE_2E4_2Emono_2Etyop_2Eextreal_2Eextreal,axiom,
    ! [V0_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2_2E0: mono_2Etyop_2Eextreal_2Eextreal,V3_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29] : s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2Eextreal__CASE_2E4_2Emono_2Etyop_2Eextreal_2Eextreal(V0_2E0,V1_2E0,V2_2E0,V3_2E0))) = s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__CASE_2E4(s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V0_2E0)),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V1_2E0)),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V2_2E0)),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Eextreal_2Eextreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29(V3_2E0)))) ).

tff(thm_2Eextreal_2Emono__decreasing__def,axiom,
    ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29] :
      ( p(mono_2Ec_2Eextreal_2Emono__decreasing_2E1(V0f_2E0))
    <=> ! [V1m_2E0: mono_2Etyop_2Enum_2Enum,V2n_2E0: mono_2Etyop_2Enum_2Enum] :
          ( p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(V1m_2E0,V2n_2E0))
         => p(mono_2Ec_2Ereal_2Ereal__lte_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal(V0f_2E0,V2n_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal(V0f_2E0,V1m_2E0))) ) ) ).

tff(thm_2Eextreal_2Emono__increasing__def,axiom,
    ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29] :
      ( p(mono_2Ec_2Eextreal_2Emono__increasing_2E1(V0f_2E0))
    <=> ! [V1m_2E0: mono_2Etyop_2Enum_2Enum,V2n_2E0: mono_2Etyop_2Enum_2Enum] :
          ( p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(V1m_2E0,V2n_2E0))
         => p(mono_2Ec_2Ereal_2Ereal__lte_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal(V0f_2E0,V1m_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal(V0f_2E0,V2n_2E0))) ) ) ).

tff(thm_2Eextreal_2Eextreal__sqrt__def,axiom,
    ( ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Eextreal_2Eextreal__sqrt_2E1(mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0)) = mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Etransc_2Esqrt_2E1(V0x_2E0))
    & ( mono_2Ec_2Eextreal_2Eextreal__sqrt_2E1(mono_2Ec_2Eextreal_2EPosInf_2E0) = mono_2Ec_2Eextreal_2EPosInf_2E0 ) ) ).

tff(thm_2Eextreal_2Eextreal__pow__def,axiom,
    ! [F1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29] :
      ( ! [V3n_2E0: mono_2Etyop_2Enum_2Enum] :
          ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(F1_2E0,V3n_2E0))
        <=> ( V3n_2E0 = mono_2Ec_2Enum_2E0_2E0 ) )
     => ( ! [V2n_2E0: mono_2Etyop_2Enum_2Enum] :
            ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(F0_2E0,V2n_2E0))
          <=> ( V2n_2E0 = mono_2Ec_2Enum_2E0_2E0 ) )
       => ( ! [V0a_2E0: mono_2Etyop_2Erealax_2Ereal,V1n_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Eextreal_2Eextreal__pow_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V0a_2E0),V1n_2E0) = mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Ereal_2Epow_2E2(V0a_2E0,V1n_2E0))
          & ! [V2n_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Eextreal_2Eextreal__pow_2E2(mono_2Ec_2Eextreal_2EPosInf_2E0,V2n_2E0) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(F0_2E0,V2n_2E0),mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))),mono_2Ec_2Eextreal_2EPosInf_2E0)
          & ! [V3n_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Eextreal_2Eextreal__pow_2E2(mono_2Ec_2Eextreal_2ENegInf_2E0,V3n_2E0) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(F1_2E0,V3n_2E0),mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))),mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Earithmetic_2EEVEN_2E1(V3n_2E0),mono_2Ec_2Eextreal_2EPosInf_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0)) ) ) ) ).

tff(thm_2Eextreal_2Eextreal__exp__def,axiom,
    ( ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Eextreal_2Eextreal__exp_2E1(mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0)) = mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Etransc_2Eexp_2E1(V0x_2E0))
    & ( mono_2Ec_2Eextreal_2Eextreal__exp_2E1(mono_2Ec_2Eextreal_2EPosInf_2E0) = mono_2Ec_2Eextreal_2EPosInf_2E0 )
    & ( mono_2Ec_2Eextreal_2Eextreal__exp_2E1(mono_2Ec_2Eextreal_2ENegInf_2E0) = mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) ) ) ).

tff(thm_2Eextreal_2Eextreal__lg__def,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__lg_2E1(V0x_2E0) = mono_2Ec_2Eextreal_2Eextreal__logr_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),V0x_2E0) ).

tff(thm_2Eextreal_2Eextreal__logr__def,axiom,
    ( ! [V0b_2E0: mono_2Etyop_2Erealax_2Ereal,V1x_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Eextreal_2Eextreal__logr_2E2(V0b_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V1x_2E0)) = mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Eutil__prob_2Elogr_2E2(V0b_2E0,V1x_2E0))
    & ! [V2b_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Eextreal_2Eextreal__logr_2E2(V2b_2E0,mono_2Ec_2Eextreal_2EPosInf_2E0) = mono_2Ec_2Eextreal_2EPosInf_2E0
    & ! [V3b_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Eextreal_2Eextreal__logr_2E2(V3b_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0) = mono_2Ec_2Eextreal_2ENegInf_2E0 ) ).

tff(thm_2Eextreal_2Eextreal__abs__primitive__def,axiom,
    ! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,F2_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29,F1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29] :
      ( ! [V0R_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29] : mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool(F0_2E0,V0R_2E0) = mono_2Ec_2Erelation_2EWF_2E1_2Emono_2Etyop_2Eextreal_2Eextreal(V0R_2E0)
     => ( ! [V3x_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Eextreal_2Eextreal(F2_2E0,V3x_2E0) = mono_2Ec_2Ecombin_2EI_2E1_2Emono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Ereal_2Eabs_2E1(V3x_2E0)))
       => ( ! [V1extreal__abs_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,V2a_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(F1_2E0,V1extreal__abs_2E0),V2a_2E0) = mono_2Ec_2Eextreal_2Eextreal__CASE_2E4_2Emono_2Etyop_2Eextreal_2Eextreal(V2a_2E0,mono_2Ec_2Ecombin_2EI_2E1_2Emono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2EPosInf_2E0),mono_2Ec_2Ecombin_2EI_2E1_2Emono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2EPosInf_2E0),F2_2E0)
         => ( mono_2Ec_2Eextreal_2Eextreal__abs_2E0 = mono_2Ec_2Erelation_2EWFREC_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29(F0_2E0),F1_2E0) ) ) ) ) ).

tff(thm_2Eextreal_2Eextreal__div__def,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__div_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__inv_2E1(V1y_2E0)) ).

tff(thm_2Eextreal_2Eextreal__ainv__def,axiom,
    ( ( mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(mono_2Ec_2Eextreal_2ENegInf_2E0) = mono_2Ec_2Eextreal_2EPosInf_2E0 )
    & ( mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(mono_2Ec_2Eextreal_2EPosInf_2E0) = mono_2Ec_2Eextreal_2ENegInf_2E0 )
    & ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0)) = mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Erealax_2Ereal__neg_2E1(V0x_2E0)) ) ).

tff(thm_2Eextreal_2Eextreal__inv__def,axiom,
    ( ( mono_2Ec_2Eextreal_2Eextreal__inv_2E1(mono_2Ec_2Eextreal_2ENegInf_2E0) = mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) )
    & ( mono_2Ec_2Eextreal_2Eextreal__inv_2E1(mono_2Ec_2Eextreal_2EPosInf_2E0) = mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) )
    & ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Eextreal_2Eextreal__inv_2E1(mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0)) = mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Erealax_2Einv_2E1(V0x_2E0)) ) ).

tff(thm_2Eextreal_2Eextreal__lt__def,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,V1y_2E0))
    <=> ~ p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,V0x_2E0)) ) ).

tff(thm_2Eextreal_2Ereal__def,axiom,
    ! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,F1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29] :
      ( ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
          ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(F0_2E0,V0x_2E0))
        <=> ( ( V0x_2E0 = mono_2Ec_2Eextreal_2ENegInf_2E0 )
            | ( V0x_2E0 = mono_2Ec_2Eextreal_2EPosInf_2E0 ) ) )
     => ( ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1r_2E0: mono_2Etyop_2Erealax_2Ereal] :
            ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(F1_2E0,V0x_2E0),V1r_2E0))
          <=> ( V0x_2E0 = mono_2Ec_2Eextreal_2ENormal_2E1(V1r_2E0) ) )
       => ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Ereal_2E1(V0x_2E0) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Erealax_2Ereal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(F0_2E0,V0x_2E0),mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Erealax_2Ereal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(F1_2E0,V0x_2E0))) ) ) ).

tff(thm_2Eextreal_2Eextreal__of__num__def,axiom,
    ! [V0n_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(V0n_2E0) = mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Ereal_2Ereal__of__num_2E1(V0n_2E0)) ).

tff(thm_2Eextreal_2Eextreal__TY__DEF,axiom,
    ! [F3_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29,F2_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29,F1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29,F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29] :
      ( ! [V7n_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29(F3_2E0,V7n_2E0) = mono_2Ec_2Eind__type_2EBOTTOM_2E0_2Emono_2Etyop_2Erealax_2Ereal
     => ( ! [V5n_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29(F2_2E0,V5n_2E0) = mono_2Ec_2Eind__type_2EBOTTOM_2E0_2Emono_2Etyop_2Erealax_2Ereal
       => ( ! [V4n_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29(F1_2E0,V4n_2E0) = mono_2Ec_2Eind__type_2EBOTTOM_2E0_2Emono_2Etyop_2Erealax_2Ereal
         => ( ! [V1a0_2E0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29] :
                ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Ebool(F0_2E0,V1a0_2E0))
              <=> ! [V2_27extreal_27_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Ebool_29] :
                    ( ! [V3a0_2E0: mono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29] :
                        ( ( ( V3a0_2E0 = mono_2Ec_2Eind__type_2ECONSTR_2E3_2Emono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Enum_2E0_2E0,mono_2Ec_2Ebool_2EARB_2E0_2Emono_2Etyop_2Erealax_2Ereal,F1_2E0) )
                          | ( V3a0_2E0 = mono_2Ec_2Eind__type_2ECONSTR_2E3_2Emono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Enum_2ESUC_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Ebool_2EARB_2E0_2Emono_2Etyop_2Erealax_2Ereal,F2_2E0) )
                          | ? [V6a_2E0: mono_2Etyop_2Erealax_2Ereal] : V3a0_2E0 = mono_2Ec_2Eind__type_2ECONSTR_2E3_2Emono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Enum_2ESUC_2E1(mono_2Ec_2Enum_2ESUC_2E1(mono_2Ec_2Enum_2E0_2E0)),V6a_2E0,F3_2E0) )
                       => p(mono_2Eapp_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Ebool(V2_27extreal_27_2E0,V3a0_2E0)) )
                   => p(mono_2Eapp_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Ebool(V2_27extreal_27_2E0,V1a0_2E0)) ) )
           => ? [V0rep_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_29] : p(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Erealax_2Ereal_29_20mono_2Etyop_2Eextreal_2Eextreal(F0_2E0,V0rep_2E0)) ) ) ) ) ).

tff(thm_2Eextreal_2Eextreal__case__def,axiom,
    ! [A_27a: d] :
      ( ! [V0v_2E0: u,V1v1_2E0: u,V2f_2E0: u] : s(A_27a,c_2Eextreal_2Eextreal__CASE_2E4(s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2ENegInf_2E0)),s(A_27a,V0v_2E0),s(A_27a,V1v1_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,A_27a),V2f_2E0))) = s(A_27a,V0v_2E0)
      & ! [V3v_2E0: u,V4v1_2E0: u,V5f_2E0: u] : s(A_27a,c_2Eextreal_2Eextreal__CASE_2E4(s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2EPosInf_2E0)),s(A_27a,V3v_2E0),s(A_27a,V4v1_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,A_27a),V5f_2E0))) = s(A_27a,V4v1_2E0)
      & ! [V6a_2E0: mono_2Etyop_2Erealax_2Ereal,V7v_2E0: u,V8v1_2E0: u,V9f_2E0: u] : s(A_27a,c_2Eextreal_2Eextreal__CASE_2E4(s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2ENormal_2E1(V6a_2E0))),s(A_27a,V7v_2E0),s(A_27a,V8v1_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,A_27a),V9f_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,A_27a),V9f_2E0),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V6a_2E0)))) ) ).

tff(thm_2Eextreal_2Eextreal__size__def,axiom,
    ( ( mono_2Ec_2Eextreal_2Eextreal__size_2E1(mono_2Ec_2Eextreal_2ENegInf_2E0) = mono_2Ec_2Enum_2E0_2E0 )
    & ( mono_2Ec_2Eextreal_2Eextreal__size_2E1(mono_2Ec_2Eextreal_2EPosInf_2E0) = mono_2Ec_2Enum_2E0_2E0 )
    & ! [V0a_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Eextreal_2Eextreal__size_2E1(mono_2Ec_2Eextreal_2ENormal_2E1(V0a_2E0)) = mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)) ) ).

tff(thm_2Eextreal_2Eext__mono__increasing__def,axiom,
    ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29] :
      ( p(mono_2Ec_2Eextreal_2Eext__mono__increasing_2E1(V0f_2E0))
    <=> ! [V1m_2E0: mono_2Etyop_2Enum_2Enum,V2n_2E0: mono_2Etyop_2Enum_2Enum] :
          ( p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(V1m_2E0,V2n_2E0))
         => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V1m_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V2n_2E0))) ) ) ).

tff(thm_2Eextreal_2Eext__mono__decreasing__def,axiom,
    ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29] :
      ( p(mono_2Ec_2Eextreal_2Eext__mono__decreasing_2E1(V0f_2E0))
    <=> ! [V1m_2E0: mono_2Etyop_2Enum_2Enum,V2n_2E0: mono_2Etyop_2Enum_2Enum] :
          ( p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(V1m_2E0,V2n_2E0))
         => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V2n_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V1m_2E0))) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__DEF,axiom,
    ! [A_27a: d,F0_2E0: u] :
      ( ! [V0f_2E0: u,V2e_2E0: u,V3acc_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0))),s(A_27a,V2e_2E0)))),V3acc_2E0) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(A_27a,V2e_2E0)))),V3acc_2E0)
     => ! [V0f_2E0: u,V1s_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))) = j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Epred__set_2EITSET_2E3(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))))) ) ).

tff(thm_2Eextreal_2Eextreal__sup__def,axiom,
    ! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,F1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,F2_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29] :
      ( ! [V0p_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] :
          ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool(F0_2E0,V0p_2E0))
        <=> ! [V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
              ( ! [V2y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
                  ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0p_2E0,V2y_2E0))
                 => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V2y_2E0,V1x_2E0)) )
             => ( V1x_2E0 = mono_2Ec_2Eextreal_2EPosInf_2E0 ) ) )
     => ( ! [V0p_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] :
            ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool(F1_2E0,V0p_2E0))
          <=> ! [V3x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
                ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0p_2E0,V3x_2E0))
               => ( V3x_2E0 = mono_2Ec_2Eextreal_2ENegInf_2E0 ) ) )
       => ( ! [V0p_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,V4r_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(F2_2E0,V0p_2E0),V4r_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0p_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V4r_2E0))
         => ! [V0p_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] : mono_2Ec_2Eextreal_2Eextreal__sup_2E1(V0p_2E0) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool(F0_2E0,V0p_2E0),mono_2Ec_2Eextreal_2EPosInf_2E0,mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool(F1_2E0,V0p_2E0),mono_2Ec_2Eextreal_2ENegInf_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Ereal_2Esup_2E1(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29(F2_2E0,V0p_2E0))))) ) ) ) ).

tff(thm_2Eextreal_2Eextreal__inf__def,axiom,
    ! [V0p_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] : mono_2Ec_2Eextreal_2Eextreal__inf_2E1(V0p_2E0) = mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(mono_2Ec_2Eextreal_2Eextreal__sup_2E1(mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2Eextreal__ainv_2E0,V0p_2E0))) ).

tff(thm_2Eextreal_2Eext__suminf__def,axiom,
    ! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29] :
      ( ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,V1n_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(F0_2E0,V0f_2E0),V1n_2E0) = mono_2Ec_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2_2Emono_2Etyop_2Enum_2Enum(V0f_2E0,mono_2Ec_2Epred__set_2Ecount_2E1(V1n_2E0))
     => ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29] : mono_2Ec_2Eextreal_2Eext__suminf_2E1(V0f_2E0) = mono_2Ec_2Eextreal_2Eextreal__sup_2E1(mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(F0_2E0,V0f_2E0),mono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum)) ) ).

tff(thm_2Eextreal_2Eextreal__min__def,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__min_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,V1y_2E0),V0x_2E0,V1y_2E0) ).

tff(thm_2Eextreal_2Eextreal__max__def,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__max_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,V1y_2E0),V1y_2E0,V0x_2E0) ).

tff(thm_2Eextreal_2Enum__not__infty,axiom,
    ! [V0n_2E0: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(V0n_2E0) != mono_2Ec_2Eextreal_2ENegInf_2E0 )
      & ( mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(V0n_2E0) != mono_2Ec_2Eextreal_2EPosInf_2E0 ) ) ).

tff(thm_2Eextreal_2Eextreal__not__infty,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( ( mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0) != mono_2Ec_2Eextreal_2ENegInf_2E0 )
      & ( mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0) != mono_2Ec_2Eextreal_2EPosInf_2E0 ) ) ).

tff(thm_2Eextreal_2Eextreal__eq__zero,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( ( mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
    <=> ( V0x_2E0 = mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ) ).

tff(thm_2Eextreal_2Eextreal__cases,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( V0x_2E0 = mono_2Ec_2Eextreal_2ENegInf_2E0 )
      | ( V0x_2E0 = mono_2Ec_2Eextreal_2EPosInf_2E0 )
      | ? [V1r_2E0: mono_2Etyop_2Erealax_2Ereal] : V0x_2E0 = mono_2Ec_2Eextreal_2ENormal_2E1(V1r_2E0) ) ).

tff(thm_2Eextreal_2Emono__increasing__converges__to__sup,axiom,
    ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,V1r_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( ( p(mono_2Ec_2Eextreal_2Emono__increasing_2E1(V0f_2E0))
        & p(mono_2Ec_2Eseq_2E_2D_2D_3E_2E2(V0f_2E0,V1r_2E0)) )
     => ( V1r_2E0 = mono_2Ec_2Ereal_2Esup_2E1(mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal(V0f_2E0,mono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum)) ) ) ).

tff(thm_2Eextreal_2Emono__decreasing__suc,axiom,
    ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29] :
      ( p(mono_2Ec_2Eextreal_2Emono__decreasing_2E1(V0f_2E0))
    <=> ! [V1n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Ereal_2Ereal__lte_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal(V0f_2E0,mono_2Ec_2Enum_2ESUC_2E1(V1n_2E0)),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal(V0f_2E0,V1n_2E0))) ) ).

tff(thm_2Eextreal_2Emono__increasing__suc,axiom,
    ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29] :
      ( p(mono_2Ec_2Eextreal_2Emono__increasing_2E1(V0f_2E0))
    <=> ! [V1n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Ereal_2Ereal__lte_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal(V0f_2E0,V1n_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal(V0f_2E0,mono_2Ec_2Enum_2ESUC_2E1(V1n_2E0)))) ) ).

tff(thm_2Eextreal_2ELOGR__MONO__LE__IMP,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Erealax_2Ereal,V2b_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( ( p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
        & p(mono_2Ec_2Ereal_2Ereal__lte_2E2(V0x_2E0,V1y_2E0))
        & p(mono_2Ec_2Ereal_2Ereal__lte_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),V2b_2E0)) )
     => p(mono_2Ec_2Ereal_2Ereal__lte_2E2(mono_2Ec_2Eutil__prob_2Elogr_2E2(V2b_2E0,V0x_2E0),mono_2Ec_2Eutil__prob_2Elogr_2E2(V2b_2E0,V1y_2E0))) ) ).

tff(thm_2Eextreal_2ELOGR__MONO__LE,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Erealax_2Ereal,V2b_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( ( p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
        & p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1y_2E0))
        & p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),V2b_2E0)) )
     => ( mono_2Ec_2Ereal_2Ereal__lte_2E2(mono_2Ec_2Eutil__prob_2Elogr_2E2(V2b_2E0,V0x_2E0),mono_2Ec_2Eutil__prob_2Elogr_2E2(V2b_2E0,V1y_2E0)) = mono_2Ec_2Ereal_2Ereal__lte_2E2(V0x_2E0,V1y_2E0) ) ) ).

tff(thm_2Eextreal_2EPOW__NEG__ODD,axiom,
    ! [V0n_2E0: mono_2Etyop_2Enum_2Enum,V1x_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V1x_2E0,mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
     => ( mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Ereal_2Epow_2E2(V1x_2E0,V0n_2E0),mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Earithmetic_2EODD_2E1(V0n_2E0) ) ) ).

tff(thm_2Eextreal_2EPOW__POS__EVEN,axiom,
    ! [V0n_2E0: mono_2Etyop_2Enum_2Enum,V1x_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V1x_2E0,mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
     => ( mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Ereal_2Epow_2E2(V1x_2E0,V0n_2E0)) = mono_2Ec_2Earithmetic_2EEVEN_2E1(V0n_2E0) ) ) ).

tff(thm_2Eextreal_2EREAL__LE__RDIV__EQ__NEG,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Erealax_2Ereal,V2z_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V2z_2E0,mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
     => ( mono_2Ec_2Ereal_2Ereal__lte_2E2(mono_2Ec_2Ereal_2E_2F_2E2(V1y_2E0,V2z_2E0),V0x_2E0) = mono_2Ec_2Ereal_2Ereal__lte_2E2(mono_2Ec_2Erealax_2Ereal__mul_2E2(V0x_2E0,V2z_2E0),V1y_2E0) ) ) ).

tff(thm_2Eextreal_2EREAL__LT__RDIV__EQ__NEG,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Erealax_2Ereal,V2z_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V2z_2E0,mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
     => ( mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Ereal_2E_2F_2E2(V1y_2E0,V2z_2E0),V0x_2E0) = mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Erealax_2Ereal__mul_2E2(V0x_2E0,V2z_2E0),V1y_2E0) ) ) ).

tff(thm_2Eextreal_2EREAL__LT__RMUL__NEG__0__NEG,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( ( p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Erealax_2Ereal__mul_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
        & p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V1y_2E0,mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) )
     => p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0)) ) ).

tff(thm_2Eextreal_2EREAL__LT__LMUL__NEG__0__NEG,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( ( p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Erealax_2Ereal__mul_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
        & p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V0x_2E0,mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) )
     => p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1y_2E0)) ) ).

tff(thm_2Eextreal_2EREAL__LT__RMUL__NEG__0,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( ( p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Erealax_2Ereal__mul_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
        & p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1y_2E0)) )
     => p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V0x_2E0,mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) ) ).

tff(thm_2Eextreal_2EREAL__LT__LMUL__NEG__0,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( ( p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Erealax_2Ereal__mul_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
        & p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0)) )
     => p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V1y_2E0,mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) ) ).

tff(thm_2Eextreal_2EREAL__LT__RMUL__0__NEG,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( ( p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Erealax_2Ereal__mul_2E2(V0x_2E0,V1y_2E0)))
        & p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V1y_2E0,mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) )
     => p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V0x_2E0,mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) ) ).

tff(thm_2Eextreal_2EREAL__LT__LMUL__0__NEG,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( ( p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Erealax_2Ereal__mul_2E2(V0x_2E0,V1y_2E0)))
        & p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V0x_2E0,mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) )
     => p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V1y_2E0,mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) ) ).

tff(thm_2Eextreal_2Eextreal__abs__def,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( ( mono_2Ec_2Eextreal_2Eextreal__abs_2E1(mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0)) = mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Ereal_2Eabs_2E1(V0x_2E0)) )
      & ( mono_2Ec_2Eextreal_2Eextreal__abs_2E1(mono_2Ec_2Eextreal_2ENegInf_2E0) = mono_2Ec_2Eextreal_2EPosInf_2E0 )
      & ( mono_2Ec_2Eextreal_2Eextreal__abs_2E1(mono_2Ec_2Eextreal_2EPosInf_2E0) = mono_2Ec_2Eextreal_2EPosInf_2E0 ) ) ).

tff(thm_2Eextreal_2Eextreal__abs__ind,axiom,
    ! [V0P_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] :
      ( ( ! [V1x_2E0: mono_2Etyop_2Erealax_2Ereal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V1x_2E0)))
        & p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0))
        & p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,mono_2Ec_2Eextreal_2EPosInf_2E0)) )
     => ! [V2v_2E0: mono_2Etyop_2Eextreal_2Eextreal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,V2v_2E0)) ) ).

tff(thm_2Eextreal_2Eextreal__mul__def,axiom,
    ! [F3_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,F2_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,F1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29] :
      ( ! [V0y_2E0: mono_2Etyop_2Erealax_2Ereal] :
          ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(F3_2E0,V0y_2E0))
        <=> ( V0y_2E0 = mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) )
     => ( ! [V1x_2E0: mono_2Etyop_2Erealax_2Ereal] :
            ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(F2_2E0,V1x_2E0))
          <=> ( V1x_2E0 = mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) )
       => ( ! [V0y_2E0: mono_2Etyop_2Erealax_2Ereal] :
              ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(F1_2E0,V0y_2E0))
            <=> ( V0y_2E0 = mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) )
         => ( ! [V1x_2E0: mono_2Etyop_2Erealax_2Ereal] :
                ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(F0_2E0,V1x_2E0))
              <=> ( V1x_2E0 = mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) )
           => ! [V0y_2E0: mono_2Etyop_2Erealax_2Ereal,V1x_2E0: mono_2Etyop_2Erealax_2Ereal] :
                ( ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2ENegInf_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0) = mono_2Ec_2Eextreal_2EPosInf_2E0 )
                & ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2ENegInf_2E0,mono_2Ec_2Eextreal_2EPosInf_2E0) = mono_2Ec_2Eextreal_2ENegInf_2E0 )
                & ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2EPosInf_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0) = mono_2Ec_2Eextreal_2ENegInf_2E0 )
                & ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2EPosInf_2E0,mono_2Ec_2Eextreal_2EPosInf_2E0) = mono_2Ec_2Eextreal_2EPosInf_2E0 )
                & ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V1x_2E0),mono_2Ec_2Eextreal_2ENegInf_2E0) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(F0_2E0,V1x_2E0),mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)),mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1x_2E0),mono_2Ec_2Eextreal_2ENegInf_2E0,mono_2Ec_2Eextreal_2EPosInf_2E0)) )
                & ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2ENegInf_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V0y_2E0)) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(F1_2E0,V0y_2E0),mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)),mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0y_2E0),mono_2Ec_2Eextreal_2ENegInf_2E0,mono_2Ec_2Eextreal_2EPosInf_2E0)) )
                & ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V1x_2E0),mono_2Ec_2Eextreal_2EPosInf_2E0) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(F2_2E0,V1x_2E0),mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)),mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1x_2E0),mono_2Ec_2Eextreal_2EPosInf_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0)) )
                & ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2EPosInf_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V0y_2E0)) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(F3_2E0,V0y_2E0),mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)),mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0y_2E0),mono_2Ec_2Eextreal_2EPosInf_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0)) )
                & ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V1x_2E0),mono_2Ec_2Eextreal_2ENormal_2E1(V0y_2E0)) = mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Erealax_2Ereal__mul_2E2(V1x_2E0,V0y_2E0)) ) ) ) ) ) ) ).

tff(thm_2Eextreal_2Eextreal__mul__ind,axiom,
    ! [V0P_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29] :
      ( ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0),mono_2Ec_2Eextreal_2ENegInf_2E0))
        & p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0),mono_2Ec_2Eextreal_2EPosInf_2E0))
        & p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2EPosInf_2E0),mono_2Ec_2Eextreal_2ENegInf_2E0))
        & p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2EPosInf_2E0),mono_2Ec_2Eextreal_2EPosInf_2E0))
        & ! [V1x_2E0: mono_2Etyop_2Erealax_2Ereal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V1x_2E0)),mono_2Ec_2Eextreal_2ENegInf_2E0))
        & ! [V2y_2E0: mono_2Etyop_2Erealax_2Ereal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0),mono_2Ec_2Eextreal_2ENormal_2E1(V2y_2E0)))
        & ! [V3x_2E0: mono_2Etyop_2Erealax_2Ereal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V3x_2E0)),mono_2Ec_2Eextreal_2EPosInf_2E0))
        & ! [V4y_2E0: mono_2Etyop_2Erealax_2Ereal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2EPosInf_2E0),mono_2Ec_2Eextreal_2ENormal_2E1(V4y_2E0)))
        & ! [V5x_2E0: mono_2Etyop_2Erealax_2Ereal,V6y_2E0: mono_2Etyop_2Erealax_2Ereal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V5x_2E0)),mono_2Ec_2Eextreal_2ENormal_2E1(V6y_2E0))) )
     => ! [V7v_2E0: mono_2Etyop_2Eextreal_2Eextreal,V8v1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,V7v_2E0),V8v1_2E0)) ) ).

tff(thm_2Eextreal_2Eextreal__le__def,axiom,
    ! [V0y_2E0: mono_2Etyop_2Erealax_2Ereal,V1x_2E0: mono_2Etyop_2Erealax_2Ereal,V2v5_2E0: mono_2Etyop_2Erealax_2Ereal,V3v3_2E0: mono_2Etyop_2Erealax_2Ereal,V4v2_2E0: mono_2Etyop_2Erealax_2Ereal,V5a_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V1x_2E0),mono_2Ec_2Eextreal_2ENormal_2E1(V0y_2E0)) = mono_2Ec_2Ereal_2Ereal__lte_2E2(V1x_2E0,V0y_2E0) )
      & ( mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2ENegInf_2E0,V5a_2E0) = mono_2Ec_2Ebool_2ET_2E0 )
      & ( mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2EPosInf_2E0,mono_2Ec_2Eextreal_2EPosInf_2E0) = mono_2Ec_2Ebool_2ET_2E0 )
      & ( mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V4v2_2E0),mono_2Ec_2Eextreal_2EPosInf_2E0) = mono_2Ec_2Ebool_2ET_2E0 )
      & ( mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2EPosInf_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0) = mono_2Ec_2Ebool_2EF_2E0 )
      & ( mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V3v3_2E0),mono_2Ec_2Eextreal_2ENegInf_2E0) = mono_2Ec_2Ebool_2EF_2E0 )
      & ( mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2EPosInf_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V2v5_2E0)) = mono_2Ec_2Ebool_2EF_2E0 ) ) ).

tff(thm_2Eextreal_2Eextreal__le__ind,axiom,
    ! [V0P_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29] :
      ( ( ! [V1x_2E0: mono_2Etyop_2Erealax_2Ereal,V2y_2E0: mono_2Etyop_2Erealax_2Ereal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V1x_2E0)),mono_2Ec_2Eextreal_2ENormal_2E1(V2y_2E0)))
        & ! [V3a_2E0: mono_2Etyop_2Eextreal_2Eextreal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0),V3a_2E0))
        & p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2EPosInf_2E0),mono_2Ec_2Eextreal_2EPosInf_2E0))
        & ! [V4v2_2E0: mono_2Etyop_2Erealax_2Ereal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V4v2_2E0)),mono_2Ec_2Eextreal_2EPosInf_2E0))
        & p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2EPosInf_2E0),mono_2Ec_2Eextreal_2ENegInf_2E0))
        & ! [V5v3_2E0: mono_2Etyop_2Erealax_2Ereal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V5v3_2E0)),mono_2Ec_2Eextreal_2ENegInf_2E0))
        & ! [V6v5_2E0: mono_2Etyop_2Erealax_2Ereal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2EPosInf_2E0),mono_2Ec_2Eextreal_2ENormal_2E1(V6v5_2E0))) )
     => ! [V7v_2E0: mono_2Etyop_2Eextreal_2Eextreal,V8v1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,V7v_2E0),V8v1_2E0)) ) ).

tff(thm_2Eextreal_2Eextreal__sub__def,axiom,
    ! [V0y_2E0: mono_2Etyop_2Erealax_2Ereal,V1x_2E0: mono_2Etyop_2Erealax_2Ereal,V2v5_2E0: mono_2Etyop_2Erealax_2Ereal,V3v3_2E0: mono_2Etyop_2Erealax_2Ereal,V4v2_2E0: mono_2Etyop_2Erealax_2Ereal,V5a_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( mono_2Ec_2Eextreal_2Eextreal__sub_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V1x_2E0),mono_2Ec_2Eextreal_2ENormal_2E1(V0y_2E0)) = mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Ereal_2Ereal__sub_2E2(V1x_2E0,V0y_2E0)) )
      & ( mono_2Ec_2Eextreal_2Eextreal__sub_2E2(mono_2Ec_2Eextreal_2EPosInf_2E0,V5a_2E0) = mono_2Ec_2Eextreal_2EPosInf_2E0 )
      & ( mono_2Ec_2Eextreal_2Eextreal__sub_2E2(mono_2Ec_2Eextreal_2ENegInf_2E0,mono_2Ec_2Eextreal_2EPosInf_2E0) = mono_2Ec_2Eextreal_2ENegInf_2E0 )
      & ( mono_2Ec_2Eextreal_2Eextreal__sub_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V4v2_2E0),mono_2Ec_2Eextreal_2EPosInf_2E0) = mono_2Ec_2Eextreal_2ENegInf_2E0 )
      & ( mono_2Ec_2Eextreal_2Eextreal__sub_2E2(mono_2Ec_2Eextreal_2ENegInf_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0) = mono_2Ec_2Eextreal_2EPosInf_2E0 )
      & ( mono_2Ec_2Eextreal_2Eextreal__sub_2E2(mono_2Ec_2Eextreal_2ENegInf_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V2v5_2E0)) = mono_2Ec_2Eextreal_2ENegInf_2E0 )
      & ( mono_2Ec_2Eextreal_2Eextreal__sub_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V3v3_2E0),mono_2Ec_2Eextreal_2ENegInf_2E0) = mono_2Ec_2Eextreal_2EPosInf_2E0 ) ) ).

tff(thm_2Eextreal_2Eextreal__sub__ind,axiom,
    ! [V0P_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29] :
      ( ( ! [V1x_2E0: mono_2Etyop_2Erealax_2Ereal,V2y_2E0: mono_2Etyop_2Erealax_2Ereal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V1x_2E0)),mono_2Ec_2Eextreal_2ENormal_2E1(V2y_2E0)))
        & ! [V3a_2E0: mono_2Etyop_2Eextreal_2Eextreal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2EPosInf_2E0),V3a_2E0))
        & p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0),mono_2Ec_2Eextreal_2EPosInf_2E0))
        & ! [V4v2_2E0: mono_2Etyop_2Erealax_2Ereal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V4v2_2E0)),mono_2Ec_2Eextreal_2EPosInf_2E0))
        & p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0),mono_2Ec_2Eextreal_2ENegInf_2E0))
        & ! [V5v5_2E0: mono_2Etyop_2Erealax_2Ereal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0),mono_2Ec_2Eextreal_2ENormal_2E1(V5v5_2E0)))
        & ! [V6v3_2E0: mono_2Etyop_2Erealax_2Ereal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V6v3_2E0)),mono_2Ec_2Eextreal_2ENegInf_2E0)) )
     => ! [V7v_2E0: mono_2Etyop_2Eextreal_2Eextreal,V8v1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,V7v_2E0),V8v1_2E0)) ) ).

tff(thm_2Eextreal_2Eextreal__add__def,axiom,
    ! [V0y_2E0: mono_2Etyop_2Erealax_2Ereal,V1x_2E0: mono_2Etyop_2Erealax_2Ereal,V2v5_2E0: mono_2Etyop_2Erealax_2Ereal,V3v3_2E0: mono_2Etyop_2Erealax_2Ereal,V4v2_2E0: mono_2Etyop_2Erealax_2Ereal,V5a_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V1x_2E0),mono_2Ec_2Eextreal_2ENormal_2E1(V0y_2E0)) = mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Erealax_2Ereal__add_2E2(V1x_2E0,V0y_2E0)) )
      & ( mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2EPosInf_2E0,V5a_2E0) = mono_2Ec_2Eextreal_2EPosInf_2E0 )
      & ( mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2ENegInf_2E0,mono_2Ec_2Eextreal_2EPosInf_2E0) = mono_2Ec_2Eextreal_2EPosInf_2E0 )
      & ( mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V4v2_2E0),mono_2Ec_2Eextreal_2EPosInf_2E0) = mono_2Ec_2Eextreal_2EPosInf_2E0 )
      & ( mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2ENegInf_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0) = mono_2Ec_2Eextreal_2ENegInf_2E0 )
      & ( mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2ENegInf_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V2v5_2E0)) = mono_2Ec_2Eextreal_2ENegInf_2E0 )
      & ( mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V3v3_2E0),mono_2Ec_2Eextreal_2ENegInf_2E0) = mono_2Ec_2Eextreal_2ENegInf_2E0 ) ) ).

tff(thm_2Eextreal_2Eextreal__add__ind,axiom,
    ! [V0P_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29] :
      ( ( ! [V1x_2E0: mono_2Etyop_2Erealax_2Ereal,V2y_2E0: mono_2Etyop_2Erealax_2Ereal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V1x_2E0)),mono_2Ec_2Eextreal_2ENormal_2E1(V2y_2E0)))
        & ! [V3a_2E0: mono_2Etyop_2Eextreal_2Eextreal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2EPosInf_2E0),V3a_2E0))
        & p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0),mono_2Ec_2Eextreal_2EPosInf_2E0))
        & ! [V4v2_2E0: mono_2Etyop_2Erealax_2Ereal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V4v2_2E0)),mono_2Ec_2Eextreal_2EPosInf_2E0))
        & p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0),mono_2Ec_2Eextreal_2ENegInf_2E0))
        & ! [V5v5_2E0: mono_2Etyop_2Erealax_2Ereal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0),mono_2Ec_2Eextreal_2ENormal_2E1(V5v5_2E0)))
        & ! [V6v3_2E0: mono_2Etyop_2Erealax_2Ereal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V6v3_2E0)),mono_2Ec_2Eextreal_2ENegInf_2E0)) )
     => ! [V7v_2E0: mono_2Etyop_2Eextreal_2Eextreal,V8v1_2E0: mono_2Etyop_2Eextreal_2Eextreal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(V0P_2E0,V7v_2E0),V8v1_2E0)) ) ).

tff(thm_2Eextreal_2Enormal__real,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Eextreal_2Ereal_2E1(V0x_2E0)) = V0x_2E0 ) ) ).

tff(thm_2Eextreal_2Ereal__normal,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Eextreal_2Ereal_2E1(mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0)) = V0x_2E0 ).

tff(thm_2Eextreal_2Eextreal__case__eq,axiom,
    ! [A_27a: d,V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1v1_2E0: u,V2v_27_2E0: u,V3v_2E0: u,V4f_2E0: u] :
      ( ( s(A_27a,c_2Eextreal_2Eextreal__CASE_2E4(s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V0x_2E0)),s(A_27a,V3v_2E0),s(A_27a,V1v1_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,A_27a),V4f_2E0))) = s(A_27a,V2v_27_2E0) )
    <=> ( ( ( V0x_2E0 = mono_2Ec_2Eextreal_2ENegInf_2E0 )
          & ( s(A_27a,V3v_2E0) = s(A_27a,V2v_27_2E0) ) )
        | ( ( V0x_2E0 = mono_2Ec_2Eextreal_2EPosInf_2E0 )
          & ( s(A_27a,V1v1_2E0) = s(A_27a,V2v_27_2E0) ) )
        | ? [V5r_2E0: mono_2Etyop_2Erealax_2Ereal] :
            ( ( V0x_2E0 = mono_2Ec_2Eextreal_2ENormal_2E1(V5r_2E0) )
            & ( s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,A_27a),V4f_2E0),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V5r_2E0)))) = s(A_27a,V2v_27_2E0) ) ) ) ) ).

tff(thm_2Eextreal_2Eextreal__case__cong,axiom,
    ! [A_27a: d,V0v1_27_2E0: u,V1v_27_2E0: u,V2f_27_2E0: u,V3M_2E0: mono_2Etyop_2Eextreal_2Eextreal,V4M_27_2E0: mono_2Etyop_2Eextreal_2Eextreal,V5v_2E0: u,V6v1_2E0: u,V7f_2E0: u] :
      ( ( ( V3M_2E0 = V4M_27_2E0 )
        & ( ( V4M_27_2E0 = mono_2Ec_2Eextreal_2ENegInf_2E0 )
         => ( s(A_27a,V5v_2E0) = s(A_27a,V1v_27_2E0) ) )
        & ( ( V4M_27_2E0 = mono_2Ec_2Eextreal_2EPosInf_2E0 )
         => ( s(A_27a,V6v1_2E0) = s(A_27a,V0v1_27_2E0) ) )
        & ! [V8a_2E0: mono_2Etyop_2Erealax_2Ereal] :
            ( ( V4M_27_2E0 = mono_2Ec_2Eextreal_2ENormal_2E1(V8a_2E0) )
           => ( s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,A_27a),V7f_2E0),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V8a_2E0)))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,A_27a),V2f_27_2E0),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V8a_2E0)))) ) ) )
     => ( s(A_27a,c_2Eextreal_2Eextreal__CASE_2E4(s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V3M_2E0)),s(A_27a,V5v_2E0),s(A_27a,V6v1_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,A_27a),V7f_2E0))) = s(A_27a,c_2Eextreal_2Eextreal__CASE_2E4(s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V4M_27_2E0)),s(A_27a,V1v_27_2E0),s(A_27a,V0v1_27_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,A_27a),V2f_27_2E0))) ) ) ).

tff(thm_2Eextreal_2Eextreal__induction,axiom,
    ! [V0P_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] :
      ( ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0))
        & p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,mono_2Ec_2Eextreal_2EPosInf_2E0))
        & ! [V1r_2E0: mono_2Etyop_2Erealax_2Ereal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V1r_2E0))) )
     => ! [V2e_2E0: mono_2Etyop_2Eextreal_2Eextreal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,V2e_2E0)) ) ).

tff(thm_2Eextreal_2Eextreal__Axiom,axiom,
    ! [A_27a: d,V0f0_2E0: u,V1f1_2E0: u,V2f2_2E0: u] :
    ? [V3fn_2E0: u] :
      ( ( s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,A_27a),V3fn_2E0),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2ENegInf_2E0)))) = s(A_27a,V0f0_2E0) )
      & ( s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,A_27a),V3fn_2E0),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2EPosInf_2E0)))) = s(A_27a,V1f1_2E0) )
      & ! [V4a_2E0: mono_2Etyop_2Erealax_2Ereal] : s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,A_27a),V3fn_2E0),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2ENormal_2E1(V4a_2E0))))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,A_27a),V2f2_2E0),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V4a_2E0)))) ) ).

tff(thm_2Eextreal_2Eextreal__nchotomy,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( V0x_2E0 = mono_2Ec_2Eextreal_2ENegInf_2E0 )
      | ( V0x_2E0 = mono_2Ec_2Eextreal_2EPosInf_2E0 )
      | ? [V1r_2E0: mono_2Etyop_2Erealax_2Ereal] : V0x_2E0 = mono_2Ec_2Eextreal_2ENormal_2E1(V1r_2E0) ) ).

tff(thm_2Eextreal_2Eextreal__distinct,axiom,
    ( ( mono_2Ec_2Eextreal_2ENegInf_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
    & ! [V0a_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Eextreal_2ENegInf_2E0 != mono_2Ec_2Eextreal_2ENormal_2E1(V0a_2E0)
    & ! [V1a_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Eextreal_2EPosInf_2E0 != mono_2Ec_2Eextreal_2ENormal_2E1(V1a_2E0) ) ).

tff(thm_2Eextreal_2Edatatype__extreal,axiom,
    ! [V0extreal_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29_29] : p(mono_2Ec_2Ebool_2EDATATYPE_2E1_2Emono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Ebool_29_29(V0extreal_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0),mono_2Ec_2Eextreal_2EPosInf_2E0),mono_2Ec_2Eextreal_2ENormal_2E0))) ).

tff(thm_2Eextreal_2Eextreal__11,axiom,
    ! [V0a_2E0: mono_2Etyop_2Erealax_2Ereal,V1a_27_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( ( mono_2Ec_2Eextreal_2ENormal_2E1(V0a_2E0) = mono_2Ec_2Eextreal_2ENormal_2E1(V1a_27_2E0) )
    <=> ( V0a_2E0 = V1a_27_2E0 ) ) ).

tff(thm_2Eextreal_2Emul__rzero,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ).

tff(thm_2Eextreal_2Emul__lzero,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ).

tff(thm_2Eextreal_2Emul__rone,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))) = V0x_2E0 ).

tff(thm_2Eextreal_2Emul__lone,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),V0x_2E0) = V0x_2E0 ).

tff(thm_2Eextreal_2Eentire,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
    <=> ( ( V0x_2E0 = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
        | ( V1y_2E0 = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ) ) ).

tff(thm_2Eextreal_2Eextreal__lt__eq,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0),mono_2Ec_2Eextreal_2ENormal_2E1(V1y_2E0)) = mono_2Ec_2Erealax_2Ereal__lt_2E2(V0x_2E0,V1y_2E0) ).

tff(thm_2Eextreal_2Ele__refl,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,V0x_2E0)) ).

tff(thm_2Eextreal_2Elt__refl,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : ~ p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,V0x_2E0)) ).

tff(thm_2Eextreal_2Ele__infty,axiom,
    ( ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
        ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2ENegInf_2E0,V0x_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,mono_2Ec_2Eextreal_2EPosInf_2E0)) )
    & ! [V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
        ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1x_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0))
      <=> ( V1x_2E0 = mono_2Ec_2Eextreal_2ENegInf_2E0 ) )
    & ! [V2x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
        ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2EPosInf_2E0,V2x_2E0))
      <=> ( V2x_2E0 = mono_2Ec_2Eextreal_2EPosInf_2E0 ) ) ) ).

tff(thm_2Eextreal_2Elt__infty,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2ENegInf_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V1y_2E0)))
      & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V1y_2E0),mono_2Ec_2Eextreal_2EPosInf_2E0))
      & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2ENegInf_2E0,mono_2Ec_2Eextreal_2EPosInf_2E0))
      & ~ p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0))
      & ~ p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2EPosInf_2E0,V0x_2E0))
      & ( ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
      <=> p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,mono_2Ec_2Eextreal_2EPosInf_2E0)) )
      & ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
      <=> p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2ENegInf_2E0,V0x_2E0)) ) ) ).

tff(thm_2Eextreal_2Elt__imp__le,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,V1y_2E0))
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,V1y_2E0)) ) ).

tff(thm_2Eextreal_2Elt__imp__ne,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,V1y_2E0))
     => ( V0x_2E0 != V1y_2E0 ) ) ).

tff(thm_2Eextreal_2Ele__trans,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,V1y_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,V2z_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,V2z_2E0)) ) ).

tff(thm_2Eextreal_2Elt__trans,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,V1y_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1y_2E0,V2z_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,V2z_2E0)) ) ).

tff(thm_2Eextreal_2Elet__trans,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,V1y_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1y_2E0,V2z_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,V2z_2E0)) ) ).

tff(thm_2Eextreal_2Ele__antisym,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,V1y_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,V0x_2E0)) )
    <=> ( V0x_2E0 = V1y_2E0 ) ) ).

tff(thm_2Eextreal_2Elt__antisym,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ~ ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,V1y_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1y_2E0,V0x_2E0)) ) ).

tff(thm_2Eextreal_2Elte__trans,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,V1y_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,V2z_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,V2z_2E0)) ) ).

tff(thm_2Eextreal_2Ele__total,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,V1y_2E0))
      | p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,V0x_2E0)) ) ).

tff(thm_2Eextreal_2Elt__total,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( V0x_2E0 = V1y_2E0 )
      | p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,V1y_2E0))
      | p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1y_2E0,V0x_2E0)) ) ).

tff(thm_2Eextreal_2Ele__01,axiom,
    p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))) ).

tff(thm_2Eextreal_2Elt__01,axiom,
    p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))) ).

tff(thm_2Eextreal_2Ene__01,axiom,
    mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) != mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) ).

tff(thm_2Eextreal_2Ele__02,axiom,
    p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))) ).

tff(thm_2Eextreal_2Elt__02,axiom,
    p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))) ).

tff(thm_2Eextreal_2Ene__02,axiom,
    mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) != mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) ).

tff(thm_2Eextreal_2Ele__num,axiom,
    ! [V0n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(V0n_2E0))) ).

tff(thm_2Eextreal_2Elt__le,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,V1y_2E0))
    <=> ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,V1y_2E0))
        & ( V0x_2E0 != V1y_2E0 ) ) ) ).

tff(thm_2Eextreal_2Ele__lt,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,V1y_2E0))
    <=> ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,V1y_2E0))
        | ( V0x_2E0 = V1y_2E0 ) ) ) ).

tff(thm_2Eextreal_2Ele__neg,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(V0x_2E0),mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(V1y_2E0)) = mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,V0x_2E0) ).

tff(thm_2Eextreal_2Elt__neg,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(V0x_2E0),mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(V1y_2E0)) = mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1y_2E0,V0x_2E0) ).

tff(thm_2Eextreal_2Ele__add,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1y_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V1y_2E0))) ) ).

tff(thm_2Eextreal_2Elt__add,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1y_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V1y_2E0))) ) ).

tff(thm_2Eextreal_2Elet__add,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1y_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V1y_2E0))) ) ).

tff(thm_2Eextreal_2Elte__add,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1y_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V1y_2E0))) ) ).

tff(thm_2Eextreal_2Ele__add2,axiom,
    ! [V0w_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V3z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0w_2E0,V1x_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V2y_2E0,V3z_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0w_2E0,V2y_2E0),mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1x_2E0,V3z_2E0))) ) ).

tff(thm_2Eextreal_2Elt__add2,axiom,
    ! [V0w_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V3z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0w_2E0,V1x_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V2y_2E0,V3z_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0w_2E0,V2y_2E0),mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1x_2E0,V3z_2E0))) ) ).

tff(thm_2Eextreal_2Elet__add2,axiom,
    ! [V0w_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V3z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V0w_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V0w_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0w_2E0,V1x_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V2y_2E0,V3z_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0w_2E0,V2y_2E0),mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1x_2E0,V3z_2E0))) ) ).

tff(thm_2Eextreal_2Elet__add2__alt,axiom,
    ! [V0w_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V3z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V1x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V1x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0w_2E0,V1x_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V2y_2E0,V3z_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0w_2E0,V2y_2E0),mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1x_2E0,V3z_2E0))) ) ).

tff(thm_2Eextreal_2Ele__addr,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V1y_2E0)) = mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1y_2E0) ) ) ).

tff(thm_2Eextreal_2Ele__addr__imp,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1y_2E0))
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V1y_2E0))) ) ).

tff(thm_2Eextreal_2Ele__ladd,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V2z_2E0)) = mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,V2z_2E0) ) ) ).

tff(thm_2Eextreal_2Ele__radd,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1y_2E0,V0x_2E0),mono_2Ec_2Eextreal_2Eextreal__add_2E2(V2z_2E0,V0x_2E0)) = mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,V2z_2E0) ) ) ).

tff(thm_2Eextreal_2Ele__radd__imp,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,V2z_2E0))
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1y_2E0,V0x_2E0),mono_2Ec_2Eextreal_2Eextreal__add_2E2(V2z_2E0,V0x_2E0))) ) ).

tff(thm_2Eextreal_2Ele__ladd__imp,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,V2z_2E0))
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V2z_2E0))) ) ).

tff(thm_2Eextreal_2Elt__ladd,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V2z_2E0)) = mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1y_2E0,V2z_2E0) ) ) ).

tff(thm_2Eextreal_2Elt__radd,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1y_2E0,V0x_2E0),mono_2Ec_2Eextreal_2Eextreal__add_2E2(V2z_2E0,V0x_2E0)) = mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1y_2E0,V2z_2E0) ) ) ).

tff(thm_2Eextreal_2Elt__addl,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V1y_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V1y_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V1y_2E0)) = mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0) ) ) ).

tff(thm_2Eextreal_2Ele__lneg,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(V0x_2E0),V1y_2E0) = mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V1y_2E0)) ).

tff(thm_2Eextreal_2Ele__mul,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1y_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0))) ) ).

tff(thm_2Eextreal_2Elet__mul,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1y_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0))) ) ).

tff(thm_2Eextreal_2Elte__mul,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1y_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0))) ) ).

tff(thm_2Eextreal_2Ele__mul__neg,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) )
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0))) ) ).

tff(thm_2Eextreal_2Emul__le,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) )
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) ) ).

tff(thm_2Eextreal_2Elt__mul,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1y_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0))) ) ).

tff(thm_2Eextreal_2Elt__mul__neg,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
        & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) )
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0))) ) ).

tff(thm_2Eextreal_2Emul__lt,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) )
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) ) ).

tff(thm_2Eextreal_2Emul__let,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) )
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) ) ).

tff(thm_2Eextreal_2Emul__lte,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) )
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) ) ).

tff(thm_2Eextreal_2Ele__rmul__imp,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V2z_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,V1y_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V2z_2E0),mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V1y_2E0,V2z_2E0))) ) ).

tff(thm_2Eextreal_2Ele__lmul__imp,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V2z_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,V1y_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V2z_2E0,V0x_2E0),mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V2z_2E0,V1y_2E0))) ) ).

tff(thm_2Eextreal_2Elt__rmul,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V2z_2E0))
        & ( V2z_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V2z_2E0),mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V1y_2E0,V2z_2E0)) = mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,V1y_2E0) ) ) ).

tff(thm_2Eextreal_2Elt__lmul,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
        & ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V2z_2E0)) = mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1y_2E0,V2z_2E0) ) ) ).

tff(thm_2Eextreal_2Elt__mul2,axiom,
    ! [V0x1_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1x2_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2y1_2E0: mono_2Etyop_2Eextreal_2Eextreal,V3y2_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x1_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V2y1_2E0))
        & ( V0x1_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
        & ( V2y1_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
        & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x1_2E0,V1x2_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V2y1_2E0,V3y2_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x1_2E0,V2y1_2E0),mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V1x2_2E0,V3y2_2E0))) ) ).

tff(thm_2Eextreal_2Eabs__pos,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__abs_2E1(V0x_2E0))) ).

tff(thm_2Eextreal_2Eabs__refl,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( mono_2Ec_2Eextreal_2Eextreal__abs_2E1(V0x_2E0) = V0x_2E0 )
    <=> p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0)) ) ).

tff(thm_2Eextreal_2Eabs__bounds,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1k_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__abs_2E1(V0x_2E0),V1k_2E0))
    <=> ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(V1k_2E0),V0x_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,V1k_2E0)) ) ) ).

tff(thm_2Eextreal_2Eabs__bounds__lt,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1k_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__abs_2E1(V0x_2E0),V1k_2E0))
    <=> ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(V1k_2E0),V0x_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,V1k_2E0)) ) ) ).

tff(thm_2Eextreal_2Eadd__comm,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1y_2E0,V0x_2E0) ).

tff(thm_2Eextreal_2Eadd__assoc,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1y_2E0,V2z_2E0)) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V1y_2E0),V2z_2E0) ).

tff(thm_2Eextreal_2Eadd__not__infty,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
          & ( V1y_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 ) )
       => ( mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V1y_2E0) != mono_2Ec_2Eextreal_2ENegInf_2E0 ) )
      & ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
          & ( V1y_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
       => ( mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V1y_2E0) != mono_2Ec_2Eextreal_2EPosInf_2E0 ) ) ) ).

tff(thm_2Eextreal_2Eadd__rzero,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = V0x_2E0 ).

tff(thm_2Eextreal_2Eadd__lzero,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0) = V0x_2E0 ).

tff(thm_2Eextreal_2Eadd__infty,axiom,
    ( ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
        ( ( mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,mono_2Ec_2Eextreal_2EPosInf_2E0) = mono_2Ec_2Eextreal_2EPosInf_2E0 )
        & ( mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2EPosInf_2E0,V0x_2E0) = mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
    & ! [V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
        ( ( V1x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
       => ( ( mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1x_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0) = mono_2Ec_2Eextreal_2ENegInf_2E0 )
          & ( mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2ENegInf_2E0,V1x_2E0) = mono_2Ec_2Eextreal_2ENegInf_2E0 ) ) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__EQ__LADD,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( ( mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V2z_2E0) )
      <=> ( V1y_2E0 = V2z_2E0 ) ) ) ).

tff(thm_2Eextreal_2Esub__rzero,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = V0x_2E0 ).

tff(thm_2Eextreal_2Esub__lzero,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__sub_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0) = mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(V0x_2E0) ).

tff(thm_2Eextreal_2Esub__le__imp,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__add_2E2(V2z_2E0,V0x_2E0))) )
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V1y_2E0,V0x_2E0),V2z_2E0)) ) ).

tff(thm_2Eextreal_2Esub__le__imp2,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V1y_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V1y_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__add_2E2(V2z_2E0,V0x_2E0))) )
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V1y_2E0,V0x_2E0),V2z_2E0)) ) ).

tff(thm_2Eextreal_2Ele__sub__imp,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1y_2E0,V0x_2E0),V2z_2E0))
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V2z_2E0,V0x_2E0))) ) ).

tff(thm_2Eextreal_2Elt__sub__imp,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1y_2E0,V0x_2E0),V2z_2E0))
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V2z_2E0,V0x_2E0))) ) ).

tff(thm_2Eextreal_2Esub__lt__imp,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
        & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__add_2E2(V2z_2E0,V0x_2E0))) )
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V1y_2E0,V0x_2E0),V2z_2E0)) ) ).

tff(thm_2Eextreal_2Esub__lt__imp2,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V2z_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V2z_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
        & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__add_2E2(V2z_2E0,V0x_2E0))) )
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V1y_2E0,V0x_2E0),V2z_2E0)) ) ).

tff(thm_2Eextreal_2Esub__zero__lt,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,V1y_2E0))
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V1y_2E0,V0x_2E0))) ) ).

tff(thm_2Eextreal_2Esub__zero__lt2,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
        & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V1y_2E0,V0x_2E0))) )
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,V1y_2E0)) ) ).

tff(thm_2Eextreal_2Esub__lt__zero,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,V1y_2E0))
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) ) ).

tff(thm_2Eextreal_2Esub__lt__zero2,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V1y_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V1y_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
        & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) )
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,V1y_2E0)) ) ).

tff(thm_2Eextreal_2Esub__zero__le,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V1y_2E0,V0x_2E0)) ).

tff(thm_2Eextreal_2Esub__le__zero,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V1y_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V1y_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) ) ) ).

tff(thm_2Eextreal_2Ele__sub__eq,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V2z_2E0,V0x_2E0)) = mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1y_2E0,V0x_2E0),V2z_2E0) ) ) ).

tff(thm_2Eextreal_2Ele__sub__eq2,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V2z_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V2z_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
        & ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V1y_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V2z_2E0,V0x_2E0)) = mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1y_2E0,V0x_2E0),V2z_2E0) ) ) ).

tff(thm_2Eextreal_2Esub__le__eq,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V1y_2E0,V0x_2E0),V2z_2E0) = mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__add_2E2(V2z_2E0,V0x_2E0)) ) ) ).

tff(thm_2Eextreal_2Esub__le__eq2,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V1y_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V1y_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
        & ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V2z_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V1y_2E0,V0x_2E0),V2z_2E0) = mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__add_2E2(V2z_2E0,V0x_2E0)) ) ) ).

tff(thm_2Eextreal_2Esub__le__switch,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
        & ( V2z_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V2z_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V1y_2E0,V0x_2E0),V2z_2E0) = mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V1y_2E0,V2z_2E0),V0x_2E0) ) ) ).

tff(thm_2Eextreal_2Esub__le__switch2,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
        & ( V1y_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V1y_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V1y_2E0,V0x_2E0),V2z_2E0) = mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V1y_2E0,V2z_2E0),V0x_2E0) ) ) ).

tff(thm_2Eextreal_2Elt__sub,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V2z_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V2z_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1y_2E0,V0x_2E0),V2z_2E0) = mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V2z_2E0,V0x_2E0)) ) ) ).

tff(thm_2Eextreal_2Esub__add2,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V1y_2E0,V0x_2E0)) = V1y_2E0 ) ) ).

tff(thm_2Eextreal_2Eadd__sub,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V1y_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V1y_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__sub_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V1y_2E0),V1y_2E0) = V0x_2E0 ) ) ).

tff(thm_2Eextreal_2Eadd__sub2,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V1y_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V1y_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__sub_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1y_2E0,V0x_2E0),V1y_2E0) = V0x_2E0 ) ) ).

tff(thm_2Eextreal_2Esub__add,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V1y_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V1y_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V0x_2E0,V1y_2E0),V1y_2E0) = V0x_2E0 ) ) ).

tff(thm_2Eextreal_2Eextreal__sub__add,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(V1y_2E0)) ).

tff(thm_2Eextreal_2Esub__0,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
     => ( V0x_2E0 = V1y_2E0 ) ) ).

tff(thm_2Eextreal_2Eneg__neg,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(V0x_2E0)) = V0x_2E0 ).

tff(thm_2Eextreal_2Eneg__0,axiom,
    mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ).

tff(thm_2Eextreal_2Eneg__eq0,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(V0x_2E0) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
    <=> ( V0x_2E0 = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ) ).

tff(thm_2Eextreal_2Eeq__neg,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(V0x_2E0) = mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(V1y_2E0) )
    <=> ( V0x_2E0 = V1y_2E0 ) ) ).

tff(thm_2Eextreal_2Eneg__minus1,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(V0x_2E0) = mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))),V0x_2E0) ).

tff(thm_2Eextreal_2Esub__rneg,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(V1y_2E0)) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V1y_2E0) ).

tff(thm_2Eextreal_2Esub__lneg,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
          & ( V1y_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 ) )
        | ( ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
          & ( V1y_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__sub_2E2(mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(V0x_2E0),V1y_2E0) = mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V1y_2E0)) ) ) ).

tff(thm_2Eextreal_2Eneg__sub,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
          & ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
        | ( ( V1y_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
          & ( V1y_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V0x_2E0,V1y_2E0)) = mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V1y_2E0,V0x_2E0) ) ) ).

tff(thm_2Eextreal_2Esub__not__infty,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
          & ( V1y_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
       => ( mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V0x_2E0,V1y_2E0) != mono_2Ec_2Eextreal_2ENegInf_2E0 ) )
      & ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
          & ( V1y_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 ) )
       => ( mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V0x_2E0,V1y_2E0) != mono_2Ec_2Eextreal_2EPosInf_2E0 ) ) ) ).

tff(thm_2Eextreal_2Ele__lsub__imp,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,V2z_2E0))
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V0x_2E0,V2z_2E0),mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V0x_2E0,V1y_2E0))) ) ).

tff(thm_2Eextreal_2Eeq__sub__ladd__normal,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( ( V0x_2E0 = mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V1y_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V2z_2E0)) )
    <=> ( mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V2z_2E0)) = V1y_2E0 ) ) ).

tff(thm_2Eextreal_2Eeq__sub__radd,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V1y_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V1y_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( ( mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V0x_2E0,V1y_2E0) = V2z_2E0 )
      <=> ( V0x_2E0 = mono_2Ec_2Eextreal_2Eextreal__add_2E2(V2z_2E0,V1y_2E0) ) ) ) ).

tff(thm_2Eextreal_2Eeq__sub__ladd,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V2z_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V2z_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( ( V0x_2E0 = mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V1y_2E0,V2z_2E0) )
      <=> ( mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V2z_2E0) = V1y_2E0 ) ) ) ).

tff(thm_2Eextreal_2Eeq__sub__switch,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( ( V0x_2E0 = mono_2Ec_2Eextreal_2Eextreal__sub_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V2z_2E0),V1y_2E0) )
    <=> ( V1y_2E0 = mono_2Ec_2Eextreal_2Eextreal__sub_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V2z_2E0),V0x_2E0) ) ) ).

tff(thm_2Eextreal_2Eeq__add__sub__switch,axiom,
    ! [V0a_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1b_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2c_2E0: mono_2Etyop_2Eextreal_2Eextreal,V3d_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V1b_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V1b_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
        & ( V2c_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V2c_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( ( mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0a_2E0,V1b_2E0) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(V2c_2E0,V3d_2E0) )
      <=> ( mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V0a_2E0,V2c_2E0) = mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V3d_2E0,V1b_2E0) ) ) ) ).

tff(thm_2Eextreal_2Esub__refl,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V0x_2E0,V0x_2E0) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ) ).

tff(thm_2Eextreal_2Emul__comm,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V1y_2E0,V0x_2E0) ).

tff(thm_2Eextreal_2Emul__assoc,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V1y_2E0,V2z_2E0)) = mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0),V2z_2E0) ).

tff(thm_2Eextreal_2Emul__not__infty,axiom,
    ( ! [V0c_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
        ( ( p(mono_2Ec_2Ereal_2Ereal__lte_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0c_2E0))
          & ( V1y_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 ) )
       => ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V0c_2E0),V1y_2E0) != mono_2Ec_2Eextreal_2ENegInf_2E0 ) )
    & ! [V2c_2E0: mono_2Etyop_2Erealax_2Ereal,V3y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
        ( ( p(mono_2Ec_2Ereal_2Ereal__lte_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V2c_2E0))
          & ( V3y_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
       => ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V2c_2E0),V3y_2E0) != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
    & ! [V4c_2E0: mono_2Etyop_2Erealax_2Ereal,V5y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
        ( ( p(mono_2Ec_2Ereal_2Ereal__lte_2E2(V4c_2E0,mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
          & ( V5y_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 ) )
       => ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V4c_2E0),V5y_2E0) != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
    & ! [V6c_2E0: mono_2Etyop_2Erealax_2Ereal,V7y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
        ( ( p(mono_2Ec_2Ereal_2Ereal__lte_2E2(V6c_2E0,mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
          & ( V7y_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
       => ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V6c_2E0),V7y_2E0) != mono_2Ec_2Eextreal_2ENegInf_2E0 ) ) ) ).

tff(thm_2Eextreal_2Emul__not__infty2,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
        & ( V1y_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V1y_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0) != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0) != mono_2Ec_2Eextreal_2EPosInf_2E0 ) ) ) ).

tff(thm_2Eextreal_2Eadd__ldistrib__pos,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1y_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V2z_2E0)) )
     => ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1y_2E0,V2z_2E0)) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V2z_2E0)) ) ) ).

tff(thm_2Eextreal_2Eadd__ldistrib__neg,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V2z_2E0,mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) )
     => ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1y_2E0,V2z_2E0)) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V2z_2E0)) ) ) ).

tff(thm_2Eextreal_2Eadd__ldistrib__normal,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( ( V1y_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
          & ( V2z_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
        | ( ( V1y_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
          & ( V2z_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 ) ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0),mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1y_2E0,V2z_2E0)) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0),V1y_2E0),mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0),V2z_2E0)) ) ) ).

tff(thm_2Eextreal_2Eadd__ldistrib__normal2,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Ereal_2Ereal__lte_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
     => ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0),mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1y_2E0,V2z_2E0)) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0),V1y_2E0),mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0),V2z_2E0)) ) ) ).

tff(thm_2Eextreal_2Eadd__rdistrib__normal,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( ( V1y_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
          & ( V2z_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
        | ( ( V1y_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
          & ( V2z_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 ) ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1y_2E0,V2z_2E0),mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0)) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V1y_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0)),mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V2z_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0))) ) ) ).

tff(thm_2Eextreal_2Eadd__rdistrib__normal2,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Ereal_2Ereal__lte_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
     => ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1y_2E0,V2z_2E0),mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0)) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V1y_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0)),mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V2z_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0))) ) ) ).

tff(thm_2Eextreal_2Eadd__ldistrib,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1y_2E0))
          & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V2z_2E0)) )
        | ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
          & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V2z_2E0,mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1y_2E0,V2z_2E0)) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V2z_2E0)) ) ) ).

tff(thm_2Eextreal_2Eadd__rdistrib,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1y_2E0))
          & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V2z_2E0)) )
        | ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
          & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V2z_2E0,mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1y_2E0,V2z_2E0),V0x_2E0) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V1y_2E0,V0x_2E0),mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V2z_2E0,V0x_2E0)) ) ) ).

tff(thm_2Eextreal_2Emul__lneg,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(V0x_2E0),V1y_2E0) = mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0)) ).

tff(thm_2Eextreal_2Emul__rneg,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(V1y_2E0)) = mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0)) ).

tff(thm_2Eextreal_2Eneg__mul2,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(V0x_2E0),mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(V1y_2E0)) = mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0) ).

tff(thm_2Eextreal_2Eadd2__sub2,axiom,
    ! [V0a_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1b_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2c_2E0: mono_2Etyop_2Eextreal_2Eextreal,V3d_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( ( V1b_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
          & ( V3d_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
        | ( ( V1b_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
          & ( V3d_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 ) ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V0a_2E0,V1b_2E0),mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V2c_2E0,V3d_2E0)) = mono_2Ec_2Eextreal_2Eextreal__sub_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0a_2E0,V2c_2E0),mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1b_2E0,V3d_2E0)) ) ) ).

tff(thm_2Eextreal_2Esub__ldistrib,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
        & ( V1y_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V1y_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
        & ( V2z_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V2z_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V1y_2E0,V2z_2E0)) = mono_2Ec_2Eextreal_2Eextreal__sub_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V2z_2E0)) ) ) ).

tff(thm_2Eextreal_2Esub__rdistrib,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
        & ( V1y_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V1y_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
        & ( V2z_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V2z_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2Eextreal__sub_2E2(V0x_2E0,V1y_2E0),V2z_2E0) = mono_2Ec_2Eextreal_2Eextreal__sub_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V2z_2E0),mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V1y_2E0,V2z_2E0)) ) ) ).

tff(thm_2Eextreal_2Eextreal__div__eq,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Eextreal_2Eextreal__div_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0),mono_2Ec_2Eextreal_2ENormal_2E1(V1y_2E0)) = mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Ereal_2E_2F_2E2(V0x_2E0,V1y_2E0)) ).

tff(thm_2Eextreal_2Einv__one,axiom,
    mono_2Ec_2Eextreal_2Eextreal__inv_2E1(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) ).

tff(thm_2Eextreal_2Einv__1over,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__inv_2E1(V0x_2E0) = mono_2Ec_2Eextreal_2Eextreal__div_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),V0x_2E0) ).

tff(thm_2Eextreal_2Ediv__one,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__div_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))) = V0x_2E0 ).

tff(thm_2Eextreal_2Einv__pos,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
        & ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__div_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),V0x_2E0))) ) ).

tff(thm_2Eextreal_2Erinv__uniq,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) )
     => ( V1y_2E0 = mono_2Ec_2Eextreal_2Eextreal__inv_2E1(V0x_2E0) ) ) ).

tff(thm_2Eextreal_2Elinv__uniq,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) )
     => ( V0x_2E0 = mono_2Ec_2Eextreal_2Eextreal__inv_2E1(V1y_2E0) ) ) ).

tff(thm_2Eextreal_2Ele__rdiv,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
     => ( mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V1y_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0)),V2z_2E0) = mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__div_2E2(V2z_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0))) ) ) ).

tff(thm_2Eextreal_2Ele__ldiv,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
     => ( mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V2z_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0))) = mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__div_2E2(V1y_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V0x_2E0)),V2z_2E0) ) ) ).

tff(thm_2Eextreal_2Elt__rdiv,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V2z_2E0))
     => ( mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__div_2E2(V1y_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V2z_2E0))) = mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V2z_2E0)),V1y_2E0) ) ) ).

tff(thm_2Eextreal_2Elt__ldiv,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V2z_2E0))
     => ( mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__div_2E2(V0x_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V2z_2E0)),V1y_2E0) = mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V1y_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V2z_2E0))) ) ) ).

tff(thm_2Eextreal_2Elt__rdiv__neg,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V2z_2E0,mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
     => ( mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__div_2E2(V1y_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V2z_2E0)),V0x_2E0) = mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,mono_2Ec_2Eextreal_2ENormal_2E1(V2z_2E0)),V1y_2E0) ) ) ).

tff(thm_2Eextreal_2Ediv__add,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V1y_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V2z_2E0 != mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2Eextreal__div_2E2(V0x_2E0,V2z_2E0),mono_2Ec_2Eextreal_2Eextreal__div_2E2(V1y_2E0,V2z_2E0)) = mono_2Ec_2Eextreal_2Eextreal__div_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V1y_2E0),V2z_2E0) ) ) ).

tff(thm_2Eextreal_2Ele__inv,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__inv_2E1(V0x_2E0))) ) ).

tff(thm_2Eextreal_2Epow__0,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V0x_2E0,mono_2Ec_2Enum_2E0_2E0) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) ).

tff(thm_2Eextreal_2Epow__1,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V0x_2E0,mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) = V0x_2E0 ).

tff(thm_2Eextreal_2Epow__2,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V0x_2E0,mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) = mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V0x_2E0,V0x_2E0) ).

tff(thm_2Eextreal_2Epow__zero,axiom,
    ! [V0n_2E0: mono_2Etyop_2Enum_2Enum,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V1x_2E0,mono_2Ec_2Enum_2ESUC_2E1(V0n_2E0)) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
    <=> ( V1x_2E0 = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ) ).

tff(thm_2Eextreal_2Epow__zero__imp,axiom,
    ! [V0n_2E0: mono_2Etyop_2Enum_2Enum,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V1x_2E0,V0n_2E0) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
     => ( V1x_2E0 = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ) ).

tff(thm_2Eextreal_2Ele__pow2,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V0x_2E0,mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))) ).

tff(thm_2Eextreal_2Epow__pos__le,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
     => ! [V1n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V0x_2E0,V1n_2E0))) ) ).

tff(thm_2Eextreal_2Epow__pos__lt,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1n_2E0: mono_2Etyop_2Enum_2Enum] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V0x_2E0,V1n_2E0))) ) ).

tff(thm_2Eextreal_2Epow__le,axiom,
    ! [V0n_2E0: mono_2Etyop_2Enum_2Enum,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1x_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1x_2E0,V2y_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V1x_2E0,V0n_2E0),mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V2y_2E0,V0n_2E0))) ) ).

tff(thm_2Eextreal_2Epow__lt,axiom,
    ! [V0n_2E0: mono_2Etyop_2Enum_2Enum,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1x_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1x_2E0,V2y_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V1x_2E0,mono_2Ec_2Enum_2ESUC_2E1(V0n_2E0)),mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V2y_2E0,mono_2Ec_2Enum_2ESUC_2E1(V0n_2E0)))) ) ).

tff(thm_2Eextreal_2Epow__lt2,axiom,
    ! [V0n_2E0: mono_2Etyop_2Enum_2Enum,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V0n_2E0 != mono_2Ec_2Enum_2E0_2E0 )
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1x_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1x_2E0,V2y_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V1x_2E0,V0n_2E0),mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V2y_2E0,V0n_2E0))) ) ).

tff(thm_2Eextreal_2Epow__le__mono,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1n_2E0: mono_2Etyop_2Enum_2Enum,V2m_2E0: mono_2Etyop_2Enum_2Enum] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),V0x_2E0))
        & p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(V1n_2E0,V2m_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V0x_2E0,V1n_2E0),mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V0x_2E0,V2m_2E0))) ) ).

tff(thm_2Eextreal_2Epow__pos__even,axiom,
    ! [V0n_2E0: mono_2Etyop_2Enum_2Enum,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1x_2E0,mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
     => ( mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V1x_2E0,V0n_2E0)) = mono_2Ec_2Earithmetic_2EEVEN_2E1(V0n_2E0) ) ) ).

tff(thm_2Eextreal_2Epow__neg__odd,axiom,
    ! [V0n_2E0: mono_2Etyop_2Enum_2Enum,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1x_2E0,mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
     => ( mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V1x_2E0,V0n_2E0),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Earithmetic_2EODD_2E1(V0n_2E0) ) ) ).

tff(thm_2Eextreal_2Eadd__pow2,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__pow_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V0x_2E0,mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V1y_2E0,mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))),mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),V0x_2E0),V1y_2E0)) ).

tff(thm_2Eextreal_2Epow__add,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1n_2E0: mono_2Etyop_2Enum_2Enum,V2m_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V0x_2E0,mono_2Ec_2Earithmetic_2E_2B_2E2(V1n_2E0,V2m_2E0)) = mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V0x_2E0,V1n_2E0),mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V0x_2E0,V2m_2E0)) ).

tff(thm_2Eextreal_2Epow__mul,axiom,
    ! [V0n_2E0: mono_2Etyop_2Enum_2Enum,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2y_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__pow_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V1x_2E0,V2y_2E0),V0n_2E0) = mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V1x_2E0,V0n_2E0),mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V2y_2E0,V0n_2E0)) ).

tff(thm_2Eextreal_2Epow__minus1,axiom,
    ! [V0n_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Eextreal_2Eextreal__pow_2E2(mono_2Ec_2Eextreal_2Eextreal__ainv_2E1(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))),mono_2Ec_2Earithmetic_2E_2A_2E2(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)),V0n_2E0)) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) ).

tff(thm_2Eextreal_2Epow__not__infty,axiom,
    ! [V0n_2E0: mono_2Etyop_2Enum_2Enum,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ( V1x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V1x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( ( mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V1x_2E0,V0n_2E0) != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V1x_2E0,V0n_2E0) != mono_2Ec_2Eextreal_2EPosInf_2E0 ) ) ) ).

tff(thm_2Eextreal_2Esqrt__pos__le,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__sqrt_2E1(V0x_2E0))) ) ).

tff(thm_2Eextreal_2Esqrt__pos__lt,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__sqrt_2E1(V0x_2E0))) ) ).

tff(thm_2Eextreal_2Epow2__sqrt,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
     => ( mono_2Ec_2Eextreal_2Eextreal__sqrt_2E1(mono_2Ec_2Eextreal_2Eextreal__pow_2E2(V0x_2E0,mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))) = V0x_2E0 ) ) ).

tff(thm_2Eextreal_2Esqrt__pow2,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( mono_2Ec_2Eextreal_2Eextreal__pow_2E2(mono_2Ec_2Eextreal_2Eextreal__sqrt_2E1(V0x_2E0),mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) = V0x_2E0 )
    <=> p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0)) ) ).

tff(thm_2Eextreal_2Esqrt__mono__le,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,V1y_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__sqrt_2E1(V0x_2E0),mono_2Ec_2Eextreal_2Eextreal__sqrt_2E1(V1y_2E0))) ) ).

tff(thm_2Eextreal_2Elogr__not__infty,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1b_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( ( ( V0x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ( ( mono_2Ec_2Eextreal_2Eextreal__logr_2E2(V1b_2E0,V0x_2E0) != mono_2Ec_2Eextreal_2ENegInf_2E0 )
        & ( mono_2Ec_2Eextreal_2Eextreal__logr_2E2(V1b_2E0,V0x_2E0) != mono_2Ec_2Eextreal_2EPosInf_2E0 ) ) ) ).

tff(thm_2Eextreal_2Ehalf__between,axiom,
    ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__div_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))))
    & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__div_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))))
    & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__div_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))))
    & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__div_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))) ) ).

tff(thm_2Eextreal_2Ethirds__between,axiom,
    ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__div_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))))))
    & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__div_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))))
    & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__div_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))))))
    & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__div_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))))
    & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__div_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))))))
    & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__div_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))))
    & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Eextreal_2Eextreal__div_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))))))
    & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__div_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))) ) ).

tff(thm_2Eextreal_2Ehalf__cancel,axiom,
    mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),mono_2Ec_2Eextreal_2Eextreal__div_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) ).

tff(thm_2Eextreal_2Ethird__cancel,axiom,
    mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))),mono_2Ec_2Eextreal_2Eextreal__div_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))))) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) ).

tff(thm_2Eextreal_2Efourth__cancel,axiom,
    mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))),mono_2Ec_2Eextreal_2Eextreal__div_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))))) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) ).

tff(thm_2Eextreal_2Equotient__normal,axiom,
    ! [V0n_2E0: mono_2Etyop_2Enum_2Enum,V1m_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Eextreal_2Eextreal__div_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(V0n_2E0),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(V1m_2E0)) = mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Ereal_2E_2F_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(V0n_2E0),mono_2Ec_2Ereal_2Ereal__of__num_2E1(V1m_2E0))) ).

tff(thm_2Eextreal_2Eext__mono__increasing__suc,axiom,
    ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29] :
      ( p(mono_2Ec_2Eextreal_2Eext__mono__increasing_2E1(V0f_2E0))
    <=> ! [V1n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V1n_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,mono_2Ec_2Enum_2ESUC_2E1(V1n_2E0)))) ) ).

tff(thm_2Eextreal_2Eext__mono__decreasing__suc,axiom,
    ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29] :
      ( p(mono_2Ec_2Eextreal_2Eext__mono__decreasing_2E1(V0f_2E0))
    <=> ! [V1n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,mono_2Ec_2Enum_2ESUC_2E1(V1n_2E0)),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V1n_2E0))) ) ).

tff(thm_2Eextreal_2EEXTREAL__ARCH,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0))
     => ! [V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
          ( ( V1y_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
         => ? [V2n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(V2n_2E0),V0x_2E0))) ) ) ).

tff(thm_2Eextreal_2ESIMP__REAL__ARCH,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal] :
    ? [V1n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Ereal_2Ereal__lte_2E2(V0x_2E0,mono_2Ec_2Ereal_2Ereal__of__num_2E1(V1n_2E0))) ).

tff(thm_2Eextreal_2ESIMP__REAL__ARCH__NEG,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal] :
    ? [V1n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Ereal_2Ereal__lte_2E2(mono_2Ec_2Erealax_2Ereal__neg_2E1(mono_2Ec_2Ereal_2Ereal__of__num_2E1(V1n_2E0)),V0x_2E0)) ).

tff(thm_2Eextreal_2ESIMP__EXTREAL__ARCH,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
     => ? [V1n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(V1n_2E0))) ) ).

tff(thm_2Eextreal_2EREAL__ARCH__POW,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal] :
    ? [V1n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V0x_2E0,mono_2Ec_2Ereal_2Epow_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),V1n_2E0))) ).

tff(thm_2Eextreal_2EEXTREAL__ARCH__POW,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( V0x_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 )
     => ? [V1n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__pow_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),V1n_2E0))) ) ).

tff(thm_2Eextreal_2EEXTREAL__ARCH__POW__INV,axiom,
    ! [V0e_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0e_2E0))
     => ? [V1n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Ereal_2Epow_2E2(mono_2Ec_2Ereal_2E_2F_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))),V1n_2E0)),V0e_2E0)) ) ).

tff(thm_2Eextreal_2EREAL__LE__MUL__EPSILON,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( ! [V2z_2E0: mono_2Etyop_2Erealax_2Ereal] :
          ( ( p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V2z_2E0))
            & p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V2z_2E0,mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))) )
         => p(mono_2Ec_2Ereal_2Ereal__lte_2E2(mono_2Ec_2Erealax_2Ereal__mul_2E2(V2z_2E0,V0x_2E0),V1y_2E0)) )
     => p(mono_2Ec_2Ereal_2Ereal__lte_2E2(V0x_2E0,V1y_2E0)) ) ).

tff(thm_2Eextreal_2Ele__epsilon,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ! [V2e_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
          ( ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V2e_2E0))
            & ( V2e_2E0 != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
         => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__add_2E2(V1y_2E0,V2e_2E0))) )
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,V1y_2E0)) ) ).

tff(thm_2Eextreal_2Ele__mul__epsilon,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ! [V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
          ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V2z_2E0))
            & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V2z_2E0,mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))) )
         => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V2z_2E0,V0x_2E0),V1y_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,V1y_2E0)) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__THM,axiom,
    ! [A_27a: d,V0f_2E0: u] :
      ( ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EEMPTY_2E0)))) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
      & ! [V1e_2E0: u,V2s_2E0: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V2s_2E0)))))
         => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EINSERT_2E2(s(A_27a,V1e_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V2s_2E0)))))) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(A_27a,V1e_2E0)))),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V2s_2E0),s(A_27a,V1e_2E0))))))) ) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__NOT__NEG__INF,axiom,
    ! [A_27a: d,V0f_2E0: u,V1s_2E0: u] :
      ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))))
        & ! [V2x_2E0: u] :
            ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))))
           => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(A_27a,V2x_2E0)))) != mono_2Ec_2Eextreal_2ENegInf_2E0 ) ) )
     => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))) != mono_2Ec_2Eextreal_2ENegInf_2E0 ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__NOT__POS__INF,axiom,
    ! [A_27a: d,V0f_2E0: u,V1s_2E0: u] :
      ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))))
        & ! [V2x_2E0: u] :
            ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))))
           => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(A_27a,V2x_2E0)))) != mono_2Ec_2Eextreal_2EPosInf_2E0 ) ) )
     => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))) != mono_2Ec_2Eextreal_2EPosInf_2E0 ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__NOT__INFTY,axiom,
    ! [A_27a: d,V0f_2E0: u,V1s_2E0: u] :
      ( ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))))
          & ! [V2x_2E0: u] :
              ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))))
             => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(A_27a,V2x_2E0)))) != mono_2Ec_2Eextreal_2ENegInf_2E0 ) ) )
       => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))) != mono_2Ec_2Eextreal_2ENegInf_2E0 ) )
      & ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))))
          & ! [V3x_2E0: u] :
              ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V3x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))))
             => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(A_27a,V3x_2E0)))) != mono_2Ec_2Eextreal_2EPosInf_2E0 ) ) )
       => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))) != mono_2Ec_2Eextreal_2EPosInf_2E0 ) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__SING,axiom,
    ! [A_27a: d,V0f_2E0: u,V1e_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EINSERT_2E2(s(A_27a,V1e_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EEMPTY_2E0)))))) = j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(A_27a,V1e_2E0)))) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__POS,axiom,
    ! [A_27a: d,V0f_2E0: u,V1s_2E0: u] :
      ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))))
        & ! [V2x_2E0: u] :
            ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))))
           => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(A_27a,V2x_2E0)))))) ) )
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))))) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__SPOS,axiom,
    ! [A_27a: d,V0f_2E0: u,V1s_2E0: u] :
      ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))))
        & ( s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0) != s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EEMPTY_2E0) )
        & ! [V2x_2E0: u] :
            ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))))
           => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(A_27a,V2x_2E0)))))) ) )
     => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))))) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__IF__ELIM,axiom,
    ! [A_27a: d,F0_2E0: u] :
      ( ! [V1P_2E0: u,V2f_2E0: u,V4x_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1P_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V2f_2E0))),s(A_27a,V4x_2E0)))) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1P_2E0),s(A_27a,V4x_2E0)))),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V2f_2E0),s(A_27a,V4x_2E0)))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))
     => ! [V0s_2E0: u,V1P_2E0: u,V2f_2E0: u] :
          ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
            & ! [V3x_2E0: u] :
                ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V3x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
               => p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1P_2E0),s(A_27a,V3x_2E0))))) ) )
         => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1P_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V2f_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))) = j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V2f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))) ) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__FINITE__SAME,axiom,
    ! [A_27a: d,V0s_2E0: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
     => ! [V1f_2E0: u,V2p_2E0: u] :
          ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2p_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
            & ! [V3q_2E0: u] :
                ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V3q_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
               => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(A_27a,V2p_2E0)))) = j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(A_27a,V3q_2E0)))) ) ) )
         => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))) = mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,c_2Epred__set_2ECARD_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0))))),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(A_27a,V2p_2E0))))) ) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__FINITE__CONST,axiom,
    ! [A_27a: d,V0P_2E0: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0)))))
     => ! [V1f_2E0: u,V2x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
          ( ! [V3y_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(A_27a,V3y_2E0)))) = V2x_2E0
         => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0)))) = mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,c_2Epred__set_2ECARD_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0))))),V2x_2E0) ) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__ZERO,axiom,
    ! [A_27a: d,F0_2E0: u] :
      ( ! [V1x_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),F0_2E0),s(A_27a,V1x_2E0)))) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)
     => ! [V0s_2E0: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
         => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__0,axiom,
    ! [A_27a: d,V0f_2E0: u,V1s_2E0: u] :
      ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))))
        & ! [V2x_2E0: u] :
            ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))))
           => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(A_27a,V2x_2E0)))) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ) )
     => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__IN__IF,axiom,
    ! [A_27a: d,F0_2E0: u] :
      ( ! [V0s_2E0: u,V1f_2E0: u,V2x_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0))),s(A_27a,V2x_2E0)))) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(A_27a,V2x_2E0)))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))
     => ! [V0s_2E0: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
         => ! [V1f_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))) = j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__CMUL,axiom,
    ! [A_27a: d,F0_2E0: u] :
      ( ! [V2c_2E0: mono_2Etyop_2Erealax_2Ereal,V1f_2E0: u,V4x_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal))),F0_2E0),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V2c_2E0)))),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0))),s(A_27a,V4x_2E0)))) = mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V2c_2E0),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(A_27a,V4x_2E0)))))
     => ! [V0s_2E0: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
         => ! [V1f_2E0: u,V2c_2E0: mono_2Etyop_2Erealax_2Ereal] :
              ( ( p(mono_2Ec_2Ereal_2Ereal__lte_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V2c_2E0))
                | ! [V3x_2E0: u] :
                    ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V3x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
                   => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(A_27a,V3x_2E0)))))) ) )
             => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal))),F0_2E0),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V2c_2E0)))),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))) = mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V2c_2E0),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0))))) ) ) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__CMUL2,axiom,
    ! [A_27a: d,F0_2E0: u] :
      ( ! [V2c_2E0: mono_2Etyop_2Erealax_2Ereal,V1f_2E0: u,V4x_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal))),F0_2E0),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V2c_2E0)))),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0))),s(A_27a,V4x_2E0)))) = mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V2c_2E0),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(A_27a,V4x_2E0)))))
     => ! [V0s_2E0: u,V1f_2E0: u,V2c_2E0: mono_2Etyop_2Erealax_2Ereal] :
          ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
            & ! [V3x_2E0: u] :
                ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V3x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
               => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(A_27a,V3x_2E0)))) != mono_2Ec_2Eextreal_2ENegInf_2E0 ) ) )
         => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal))),F0_2E0),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V2c_2E0)))),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))) = mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V2c_2E0),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0))))) ) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__IMAGE,axiom,
    ! [A_27a: d,A_27b: d,V0s_2E0: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
     => ! [V1f_27_2E0: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EINJ_2E3(s(tyop_2Emin_2Efun(A_27a,A_27b),V1f_27_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),c_2Epred__set_2EIMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1f_27_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))))
         => ! [V2f_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal),V2f_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),c_2Epred__set_2EIMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1f_27_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))) = j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),c_2Ecombin_2Eo_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal),V2f_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),V1f_27_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__DISJOINT__UNION,axiom,
    ! [A_27a: d,V0s_2E0: u,V1s_27_2E0: u] :
      ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
        & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_27_2E0)))))
        & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EDISJOINT_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_27_2E0))))) )
     => ! [V2f_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V2f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EUNION_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_27_2E0)))))) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V2f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V2f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_27_2E0))))) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__EQ__CARD,axiom,
    ! [A_27a: d,F0_2E0: u] :
      ( ! [V0s_2E0: u,V1x_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0))),s(A_27a,V1x_2E0)))) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V1x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))
     => ! [V0s_2E0: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
         => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,c_2Epred__set_2ECARD_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0))))) ) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__INV__CARD__EQ__1,axiom,
    ! [A_27a: d,F0_2E0: u] :
      ( ! [V0s_2E0: u,V1x_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0))),s(A_27a,V1x_2E0)))) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V1x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))),mono_2Ec_2Eextreal_2Eextreal__inv_2E1(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,c_2Epred__set_2ECARD_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))),mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))
     => ! [V0s_2E0: u] :
          ( ( ( s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0) != s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EEMPTY_2E0) )
            & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0))))) )
         => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) ) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__INTER__NONZERO,axiom,
    ! [A_27a: d,F0_2E0: u] :
      ( ! [V1f_2E0: u,V2p_2E0: u] :
          ( 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(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0))),s(A_27a,V2p_2E0)))))
        <=> ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(A_27a,V2p_2E0)))) != mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) )
     => ! [V0s_2E0: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
         => ! [V1f_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EINTER_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0)))))))) = j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__INTER__ELIM,axiom,
    ! [A_27a: d,V0s_2E0: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
     => ! [V1f_2E0: u,V2s_27_2E0: u] :
          ( ! [V3x_2E0: u] :
              ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V3x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V2s_27_2E0)))))
             => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(A_27a,V3x_2E0)))) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) )
         => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EINTER_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V2s_27_2E0)))))) = j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))) ) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__ZERO__DIFF,axiom,
    ! [A_27a: d,V0s_2E0: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
     => ! [V1f_2E0: u,V2t_2E0: u] :
          ( ! [V3x_2E0: u] :
              ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V3x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V2t_2E0)))))
             => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(A_27a,V3x_2E0)))) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) )
         => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))) = j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EDIFF_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V2t_2E0)))))) ) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__MONO,axiom,
    ! [A_27a: d,V0s_2E0: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
     => ! [V1f_2E0: u,V2f_27_2E0: u] :
          ( ! [V3x_2E0: u] :
              ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V3x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
             => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(A_27a,V3x_2E0)))),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V2f_27_2E0),s(A_27a,V3x_2E0)))))) )
         => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V2f_27_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__MONO__SET,axiom,
    ! [A_27a: d,V0f_2E0: u,V1s_2E0: u,V2t_2E0: u] :
      ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))))
        & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V2t_2E0)))))
        & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V2t_2E0)))))
        & ! [V3x_2E0: u] :
            ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V3x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V2t_2E0)))))
           => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(A_27a,V3x_2E0)))))) ) )
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V2t_2E0)))))) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__EQ,axiom,
    ! [A_27a: d,V0s_2E0: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
     => ! [V1f_2E0: u,V2f_27_2E0: u] :
          ( ! [V3x_2E0: u] :
              ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V3x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
             => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(A_27a,V3x_2E0)))) = j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V2f_27_2E0),s(A_27a,V3x_2E0)))) ) )
         => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))) = j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V2f_27_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))) ) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__POS__MEM__LE,axiom,
    ! [A_27a: d,V0f_2E0: u,V1s_2E0: u] :
      ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))))
        & ! [V2x_2E0: u] :
            ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))))
           => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(A_27a,V2x_2E0)))))) ) )
     => ! [V3x_2E0: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V3x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))))
         => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(A_27a,V3x_2E0)))),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))))) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__ADD,axiom,
    ! [A_27a: d,F0_2E0: u] :
      ( ! [V1f_2E0: u,V2f_27_2E0: u,V3x_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V2f_27_2E0))),s(A_27a,V3x_2E0)))) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(A_27a,V3x_2E0)))),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V2f_27_2E0),s(A_27a,V3x_2E0)))))
     => ! [V0s_2E0: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
         => ! [V1f_2E0: u,V2f_27_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V2f_27_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V2f_27_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0))))) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__SUB,axiom,
    ! [A_27a: d,F0_2E0: u] :
      ( ! [V1f_2E0: u,V2f_27_2E0: u,V5x_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V2f_27_2E0))),s(A_27a,V5x_2E0)))) = mono_2Ec_2Eextreal_2Eextreal__sub_2E2(j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(A_27a,V5x_2E0)))),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V2f_27_2E0),s(A_27a,V5x_2E0)))))
     => ! [V0s_2E0: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
         => ! [V1f_2E0: u,V2f_27_2E0: u] :
              ( ( ! [V3x_2E0: u] :
                    ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V3x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
                   => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V2f_27_2E0),s(A_27a,V3x_2E0)))) != mono_2Ec_2Eextreal_2ENegInf_2E0 ) )
                | ! [V4x_2E0: u] :
                    ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V4x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
                   => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V2f_27_2E0),s(A_27a,V4x_2E0)))) != mono_2Ec_2Eextreal_2EPosInf_2E0 ) ) )
             => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V2f_27_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))) = mono_2Ec_2Eextreal_2Eextreal__sub_2E2(j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V2f_27_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0))))) ) ) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__EXTREAL__SUM__IMAGE,axiom,
    ! [A_27a: d,A_27b: d,F1_2E0: u,F0_2E0: u] :
      ( ! [V2f_2E0: u,V4x_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Eextreal_2Eextreal)),F1_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal)),V2f_2E0))),s(tyop_2Epair_2Eprod(A_27a,A_27b),V4x_2E0)))) = j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal)),V2f_2E0),s(A_27a,c_2Epair_2EFST_2E1(s(tyop_2Epair_2Eprod(A_27a,A_27b),V4x_2E0))))),s(A_27b,c_2Epair_2ESND_2E1(s(tyop_2Epair_2Eprod(A_27a,A_27b),V4x_2E0))))))
     => ( ! [V2f_2E0: u,V1s_27_2E0: u,V3x_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal)),V2f_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1s_27_2E0))),s(A_27a,V3x_2E0)))) = j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal)),V2f_2E0),s(A_27a,V3x_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1s_27_2E0))))
       => ! [V0s_2E0: u,V1s_27_2E0: u,V2f_2E0: u] :
            ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
              & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1s_27_2E0))))) )
           => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal)),V2f_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1s_27_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))) = j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Eextreal_2Eextreal)),F1_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal)),V2f_2E0))),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1s_27_2E0)))))) ) ) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__NORMAL,axiom,
    ! [A_27a: d,F0_2E0: u] :
      ( ! [V0f_2E0: u,V2x_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Erealax_2Ereal),V0f_2E0))),s(A_27a,V2x_2E0)))) = mono_2Ec_2Eextreal_2ENormal_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Erealax_2Ereal),V0f_2E0),s(A_27a,V2x_2E0)))))
     => ! [V0f_2E0: u,V1s_2E0: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))))
         => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Erealax_2Ereal),V0f_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0)))) = mono_2Ec_2Eextreal_2ENormal_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ereal__sigma_2EREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Erealax_2Ereal),V0f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s_2E0))))) ) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__IN__IF__ALT,axiom,
    ! [A_27a: d,F0_2E0: u] :
      ( ! [V0s_2E0: u,V1f_2E0: u,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal,V3x_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0))),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V2z_2E0)))),s(A_27a,V3x_2E0)))) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V3x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(A_27a,V3x_2E0)))),V2z_2E0)
     => ! [V0s_2E0: u,V1f_2E0: u,V2z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))))
         => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))) = j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V1f_2E0))),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V2z_2E0)))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0)))) ) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__CROSS__SYM,axiom,
    ! [A_27a: d,A_27b: d,F1_2E0: u,F0_2E0: u] :
      ( ! [V0f_2E0: u,V5y_2E0: u,V6x_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal))),F1_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Eextreal_2Eextreal),V0f_2E0))),s(A_27b,V5y_2E0))),s(A_27a,V6x_2E0)))) = j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Eextreal_2Eextreal),V0f_2E0),s(tyop_2Epair_2Eprod(A_27a,A_27b),c_2Epair_2E_2C_2E2(s(A_27a,V6x_2E0),s(A_27b,V5y_2E0))))))
     => ( ! [V0f_2E0: u,V3x_2E0: u,V4y_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal))),F0_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Eextreal_2Eextreal),V0f_2E0))),s(A_27a,V3x_2E0))),s(A_27b,V4y_2E0)))) = j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Eextreal_2Eextreal),V0f_2E0),s(tyop_2Epair_2Eprod(A_27a,A_27b),c_2Epair_2E_2C_2E2(s(A_27a,V3x_2E0),s(A_27b,V4y_2E0))))))
       => ! [V0f_2E0: u,V1s1_2E0: u,V2s2_2E0: u] :
            ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s1_2E0)))))
              & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V2s2_2E0))))) )
           => ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Eextreal_2Eextreal),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Eextreal_2Eextreal))),F0_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Eextreal_2Eextreal),V0f_2E0))))),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s1_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V2s2_2E0)))))) = j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27b,A_27a),tyop_2Eextreal_2Eextreal),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal))),F1_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),tyop_2Eextreal_2Eextreal),V0f_2E0))))),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27b,A_27a),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V2s2_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1s1_2E0)))))) ) ) ) ) ).

tff(thm_2Eextreal_2EEXTREAL__SUM__IMAGE__COUNT,axiom,
    ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29] :
      ( ( mono_2Ec_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2_2Emono_2Etyop_2Enum_2Enum(V0f_2E0,mono_2Ec_2Epred__set_2Ecount_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,mono_2Ec_2Enum_2E0_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))) )
      & ( mono_2Ec_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2_2Emono_2Etyop_2Enum_2Enum(V0f_2E0,mono_2Ec_2Epred__set_2Ecount_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,mono_2Ec_2Enum_2E0_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))) )
      & ( mono_2Ec_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2_2Emono_2Etyop_2Enum_2Enum(V0f_2E0,mono_2Ec_2Epred__set_2Ecount_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,mono_2Ec_2Enum_2E0_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))) )
      & ( mono_2Ec_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2_2Emono_2Etyop_2Enum_2Enum(V0f_2E0,mono_2Ec_2Epred__set_2Ecount_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,mono_2Ec_2Enum_2E0_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))) ) ) ).

tff(thm_2Eextreal_2Ele__sup__imp,axiom,
    ! [V0p_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0p_2E0,V1x_2E0))
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1x_2E0,mono_2Ec_2Eextreal_2Eextreal__sup_2E1(V0p_2E0))) ) ).

tff(thm_2Eextreal_2Esup__le,axiom,
    ! [V0p_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__sup_2E1(V0p_2E0),V1x_2E0))
    <=> ! [V2y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
          ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0p_2E0,V2y_2E0))
         => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V2y_2E0,V1x_2E0)) ) ) ).

tff(thm_2Eextreal_2Ele__sup,axiom,
    ! [V0p_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1x_2E0,mono_2Ec_2Eextreal_2Eextreal__sup_2E1(V0p_2E0)))
    <=> ! [V2y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
          ( ! [V3z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
              ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0p_2E0,V3z_2E0))
             => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V3z_2E0,V2y_2E0)) )
         => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1x_2E0,V2y_2E0)) ) ) ).

tff(thm_2Eextreal_2Esup__eq,axiom,
    ! [V0p_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( mono_2Ec_2Eextreal_2Eextreal__sup_2E1(V0p_2E0) = V1x_2E0 )
    <=> ( ! [V2y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
            ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0p_2E0,V2y_2E0))
           => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V2y_2E0,V1x_2E0)) )
        & ! [V3y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
            ( ! [V4z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
                ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0p_2E0,V4z_2E0))
               => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V4z_2E0,V3y_2E0)) )
           => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1x_2E0,V3y_2E0)) ) ) ) ).

tff(thm_2Eextreal_2Esup__const,axiom,
    ! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29] :
      ( ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
          ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(F0_2E0,V0x_2E0),V1y_2E0))
        <=> ( V1y_2E0 = V0x_2E0 ) )
     => ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__sup_2E1(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(F0_2E0,V0x_2E0)) = V0x_2E0 ) ).

tff(thm_2Eextreal_2Esup__const__alt,axiom,
    ! [V0p_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,V1z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ? [V2x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0p_2E0,V2x_2E0))
        & ! [V3x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
            ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0p_2E0,V3x_2E0))
           => ( V3x_2E0 = V1z_2E0 ) ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__sup_2E1(V0p_2E0) = V1z_2E0 ) ) ).

tff(thm_2Eextreal_2Esup__const__over__set,axiom,
    ! [A_27a: d,F0_2E0: u] :
      ( ! [V1k_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2x_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),F0_2E0),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V1k_2E0)))),s(A_27a,V2x_2E0)))) = V1k_2E0
     => ! [V0s_2E0: u,V1k_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
          ( ( s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0) != s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EEMPTY_2E0) )
         => ( mono_2Ec_2Eextreal_2Eextreal__sup_2E1(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),c_2Epred__set_2EIMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),F0_2E0),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V1k_2E0)))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0))))) = V1k_2E0 ) ) ) ).

tff(thm_2Eextreal_2Esup__num,axiom,
    ! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] :
      ( ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
          ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(F0_2E0,V0x_2E0))
        <=> ? [V1n_2E0: mono_2Etyop_2Enum_2Enum] : V0x_2E0 = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(V1n_2E0) )
     => ( mono_2Ec_2Eextreal_2Eextreal__sup_2E1(F0_2E0) = mono_2Ec_2Eextreal_2EPosInf_2E0 ) ) ).

tff(thm_2Eextreal_2Esup__le__sup__imp,axiom,
    ! [V0p_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,V1q_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] :
      ( ! [V2x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
          ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0p_2E0,V2x_2E0))
         => ? [V3y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
              ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V1q_2E0,V3y_2E0))
              & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V2x_2E0,V3y_2E0)) ) )
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__sup_2E1(V0p_2E0),mono_2Ec_2Eextreal_2Eextreal__sup_2E1(V1q_2E0))) ) ).

tff(thm_2Eextreal_2Esup__mono,axiom,
    ! [V0p_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,V1q_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29] :
      ( ! [V2n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0p_2E0,V2n_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V1q_2E0,V2n_2E0)))
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__sup_2E1(mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0p_2E0,mono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum)),mono_2Ec_2Eextreal_2Eextreal__sup_2E1(mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V1q_2E0,mono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum)))) ) ).

tff(thm_2Eextreal_2Esup__suc,axiom,
    ! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29] :
      ( ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,V3n_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(F0_2E0,V0f_2E0),V3n_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,mono_2Ec_2Enum_2ESUC_2E1(V3n_2E0))
     => ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29] :
          ( ! [V1m_2E0: mono_2Etyop_2Enum_2Enum,V2n_2E0: mono_2Etyop_2Enum_2Enum] :
              ( p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(V1m_2E0,V2n_2E0))
             => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V1m_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V2n_2E0))) )
         => ( mono_2Ec_2Eextreal_2Eextreal__sup_2E1(mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(F0_2E0,V0f_2E0),mono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum)) = mono_2Ec_2Eextreal_2Eextreal__sup_2E1(mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,mono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum)) ) ) ) ).

tff(thm_2Eextreal_2Esup__seq,axiom,
    ! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29] :
      ( ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,V2n_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(F0_2E0,V0f_2E0),V2n_2E0) = mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal(V0f_2E0,V2n_2E0))
     => ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,V1l_2E0: mono_2Etyop_2Erealax_2Ereal] :
          ( p(mono_2Ec_2Eextreal_2Emono__increasing_2E1(V0f_2E0))
         => ( p(mono_2Ec_2Eseq_2E_2D_2D_3E_2E2(V0f_2E0,V1l_2E0))
          <=> ( mono_2Ec_2Eextreal_2Eextreal__sup_2E1(mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(F0_2E0,V0f_2E0),mono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum)) = mono_2Ec_2Eextreal_2ENormal_2E1(V1l_2E0) ) ) ) ) ).

tff(thm_2Eextreal_2Esup__lt__infty,axiom,
    ! [V0p_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__sup_2E1(V0p_2E0),mono_2Ec_2Eextreal_2EPosInf_2E0))
     => ! [V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
          ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0p_2E0,V1x_2E0))
         => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1x_2E0,mono_2Ec_2Eextreal_2EPosInf_2E0)) ) ) ).

tff(thm_2Eextreal_2Esup__max,axiom,
    ! [V0p_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,V1z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0p_2E0,V1z_2E0))
        & ! [V2x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
            ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0p_2E0,V2x_2E0))
           => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V2x_2E0,V1z_2E0)) ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__sup_2E1(V0p_2E0) = V1z_2E0 ) ) ).

tff(thm_2Eextreal_2Esup__add__mono,axiom,
    ! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29] :
      ( ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,V1g_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,V6n_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(F0_2E0,V0f_2E0),V1g_2E0),V6n_2E0) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V6n_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V1g_2E0,V6n_2E0))
     => ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,V1g_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29] :
          ( ( ! [V2n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V2n_2E0)))
            & ! [V3n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V3n_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,mono_2Ec_2Enum_2ESUC_2E1(V3n_2E0))))
            & ! [V4n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V1g_2E0,V4n_2E0)))
            & ! [V5n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V1g_2E0,V5n_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V1g_2E0,mono_2Ec_2Enum_2ESUC_2E1(V5n_2E0)))) )
         => ( mono_2Ec_2Eextreal_2Eextreal__sup_2E1(mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(F0_2E0,V0f_2E0),V1g_2E0),mono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum)) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2Eextreal__sup_2E1(mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,mono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum)),mono_2Ec_2Eextreal_2Eextreal__sup_2E1(mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V1g_2E0,mono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum))) ) ) ) ).

tff(thm_2Eextreal_2Esup__sum__mono,axiom,
    ! [F1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,F2_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29,F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29] :
      ( ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,V8i_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(F1_2E0,V0f_2E0),V8i_2E0) = mono_2Ec_2Eextreal_2Eextreal__sup_2E1(mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(V0f_2E0,V8i_2E0),mono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum))
     => ( ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,V6n_2E0: mono_2Etyop_2Enum_2Enum,V7i_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(F2_2E0,V0f_2E0),V6n_2E0),V7i_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(V0f_2E0,V7i_2E0),V6n_2E0)
       => ( ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,V1s_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,V6n_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(F0_2E0,V0f_2E0),V1s_2E0),V6n_2E0) = mono_2Ec_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2_2Emono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(F2_2E0,V0f_2E0),V6n_2E0),V1s_2E0)
         => ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,V1s_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29] :
              ( ( p(mono_2Ec_2Epred__set_2EFINITE_2E1_2Emono_2Etyop_2Enum_2Enum(V1s_2E0))
                & ! [V2i_2E0: mono_2Etyop_2Enum_2Enum] :
                    ( p(mono_2Ec_2Ebool_2EIN_2E2_2Emono_2Etyop_2Enum_2Enum(V2i_2E0,V1s_2E0))
                   => ! [V3n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(V0f_2E0,V2i_2E0),V3n_2E0))) )
                & ! [V4i_2E0: mono_2Etyop_2Enum_2Enum] :
                    ( p(mono_2Ec_2Ebool_2EIN_2E2_2Emono_2Etyop_2Enum_2Enum(V4i_2E0,V1s_2E0))
                   => ! [V5n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(V0f_2E0,V4i_2E0),V5n_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(V0f_2E0,V4i_2E0),mono_2Ec_2Enum_2ESUC_2E1(V5n_2E0)))) ) )
             => ( mono_2Ec_2Eextreal_2Eextreal__sup_2E1(mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(F0_2E0,V0f_2E0),V1s_2E0),mono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum)) = mono_2Ec_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2_2Emono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(F1_2E0,V0f_2E0),V1s_2E0) ) ) ) ) ) ).

tff(thm_2Eextreal_2Esup__le__mono,axiom,
    ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,V1z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ! [V2n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V2n_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,mono_2Ec_2Enum_2ESUC_2E1(V2n_2E0))))
        & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1z_2E0,mono_2Ec_2Eextreal_2Eextreal__sup_2E1(mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,mono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum)))) )
     => ? [V3n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1z_2E0,mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V3n_2E0))) ) ).

tff(thm_2Eextreal_2Esup__cmul,axiom,
    ! [A_27a: d,F0_2E0: u] :
      ( ! [V1c_2E0: mono_2Etyop_2Erealax_2Ereal,V0f_2E0: u,V2n_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal))),F0_2E0),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V1c_2E0)))),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0))),s(A_27a,V2n_2E0)))) = mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V1c_2E0),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(A_27a,V2n_2E0)))))
     => ! [V0f_2E0: u,V1c_2E0: mono_2Etyop_2Erealax_2Ereal] :
          ( p(mono_2Ec_2Ereal_2Ereal__lte_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1c_2E0))
         => ( mono_2Ec_2Eextreal_2Eextreal__sup_2E1(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),c_2Epred__set_2EIMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal))),F0_2E0),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V1c_2E0)))),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))))) = mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V1c_2E0),mono_2Ec_2Eextreal_2Eextreal__sup_2E1(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),c_2Epred__set_2EIMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))))) ) ) ) ).

tff(thm_2Eextreal_2Esup__lt,axiom,
    ! [V0P_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ? [V2x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
          ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,V2x_2E0))
          & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1y_2E0,V2x_2E0)) )
    <=> p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__sup_2E1(V0P_2E0))) ) ).

tff(thm_2Eextreal_2Esup__lt__epsilon,axiom,
    ! [V0P_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,V1e_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1e_2E0))
        & ? [V2x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
            ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,V2x_2E0))
            & ( V2x_2E0 != mono_2Ec_2Eextreal_2ENegInf_2E0 ) )
        & ( mono_2Ec_2Eextreal_2Eextreal__sup_2E1(V0P_2E0) != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ? [V3x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
          ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,V3x_2E0))
          & p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2Eextreal__sup_2E1(V0P_2E0),mono_2Ec_2Eextreal_2Eextreal__add_2E2(V3x_2E0,V1e_2E0))) ) ) ).

tff(thm_2Eextreal_2Einf__le__imp,axiom,
    ! [V0p_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0p_2E0,V1x_2E0))
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__inf_2E1(V0p_2E0),V1x_2E0)) ) ).

tff(thm_2Eextreal_2Ele__inf,axiom,
    ! [V0p_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1x_2E0,mono_2Ec_2Eextreal_2Eextreal__inf_2E1(V0p_2E0)))
    <=> ! [V2y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
          ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0p_2E0,V2y_2E0))
         => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1x_2E0,V2y_2E0)) ) ) ).

tff(thm_2Eextreal_2Einf__le,axiom,
    ! [V0p_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__inf_2E1(V0p_2E0),V1x_2E0))
    <=> ! [V2y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
          ( ! [V3z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
              ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0p_2E0,V3z_2E0))
             => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V2y_2E0,V3z_2E0)) )
         => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V2y_2E0,V1x_2E0)) ) ) ).

tff(thm_2Eextreal_2Einf__eq,axiom,
    ! [V0p_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( mono_2Ec_2Eextreal_2Eextreal__inf_2E1(V0p_2E0) = V1x_2E0 )
    <=> ( ! [V2y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
            ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0p_2E0,V2y_2E0))
           => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1x_2E0,V2y_2E0)) )
        & ! [V3y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
            ( ! [V4z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
                ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0p_2E0,V4z_2E0))
               => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V3y_2E0,V4z_2E0)) )
           => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V3y_2E0,V1x_2E0)) ) ) ) ).

tff(thm_2Eextreal_2Einf__const,axiom,
    ! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29] :
      ( ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
          ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(F0_2E0,V0x_2E0),V1y_2E0))
        <=> ( V1y_2E0 = V0x_2E0 ) )
     => ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__inf_2E1(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(F0_2E0,V0x_2E0)) = V0x_2E0 ) ).

tff(thm_2Eextreal_2Einf__const__alt,axiom,
    ! [V0p_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,V1z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( ? [V2x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0p_2E0,V2x_2E0))
        & ! [V3x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
            ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0p_2E0,V3x_2E0))
           => ( V3x_2E0 = V1z_2E0 ) ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__inf_2E1(V0p_2E0) = V1z_2E0 ) ) ).

tff(thm_2Eextreal_2Einf__const__over__set,axiom,
    ! [A_27a: d,F0_2E0: u] :
      ( ! [V1k_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2x_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),F0_2E0),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V1k_2E0)))),s(A_27a,V2x_2E0)))) = V1k_2E0
     => ! [V0s_2E0: u,V1k_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
          ( ( s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0) != s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EEMPTY_2E0) )
         => ( mono_2Ec_2Eextreal_2Eextreal__inf_2E1(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),c_2Epred__set_2EIMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),F0_2E0),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(V1k_2E0)))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0))))) = V1k_2E0 ) ) ) ).

tff(thm_2Eextreal_2Einf__suc,axiom,
    ! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29] :
      ( ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,V3n_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(F0_2E0,V0f_2E0),V3n_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,mono_2Ec_2Enum_2ESUC_2E1(V3n_2E0))
     => ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29] :
          ( ! [V1m_2E0: mono_2Etyop_2Enum_2Enum,V2n_2E0: mono_2Etyop_2Enum_2Enum] :
              ( p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(V1m_2E0,V2n_2E0))
             => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V2n_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V1m_2E0))) )
         => ( mono_2Ec_2Eextreal_2Eextreal__inf_2E1(mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(F0_2E0,V0f_2E0),mono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum)) = mono_2Ec_2Eextreal_2Eextreal__inf_2E1(mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,mono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum)) ) ) ) ).

tff(thm_2Eextreal_2Einf__seq,axiom,
    ! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29] :
      ( ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,V2n_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(F0_2E0,V0f_2E0),V2n_2E0) = mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal(V0f_2E0,V2n_2E0))
     => ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,V1l_2E0: mono_2Etyop_2Erealax_2Ereal] :
          ( p(mono_2Ec_2Eextreal_2Emono__decreasing_2E1(V0f_2E0))
         => ( p(mono_2Ec_2Eseq_2E_2D_2D_3E_2E2(V0f_2E0,V1l_2E0))
          <=> ( mono_2Ec_2Eextreal_2Eextreal__inf_2E1(mono_2Ec_2Epred__set_2EIMAGE_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(F0_2E0,V0f_2E0),mono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum)) = mono_2Ec_2Eextreal_2ENormal_2E1(V1l_2E0) ) ) ) ) ).

tff(thm_2Eextreal_2Einf__lt__infty,axiom,
    ! [V0p_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2ENegInf_2E0,mono_2Ec_2Eextreal_2Eextreal__inf_2E1(V0p_2E0)))
     => ! [V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
          ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0p_2E0,V1x_2E0))
         => p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Ec_2Eextreal_2ENegInf_2E0,V1x_2E0)) ) ) ).

tff(thm_2Eextreal_2Einf__min,axiom,
    ! [V0p_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,V1z_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0p_2E0,V1z_2E0))
        & ! [V2x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
            ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(V0p_2E0,V2x_2E0))
           => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1z_2E0,V2x_2E0)) ) )
     => ( mono_2Ec_2Eextreal_2Eextreal__inf_2E1(V0p_2E0) = V1z_2E0 ) ) ).

tff(thm_2Eextreal_2Einf__cminus,axiom,
    ! [A_27a: d,F0_2E0: u] :
      ( ! [V1c_2E0: mono_2Etyop_2Erealax_2Ereal,V0f_2E0: u,V2n_2E0: u] : j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal))),F0_2E0),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V1c_2E0)))),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0))),s(A_27a,V2n_2E0)))) = mono_2Ec_2Eextreal_2Eextreal__sub_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V1c_2E0),j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(A_27a,V2n_2E0)))))
     => ! [V0f_2E0: u,V1c_2E0: mono_2Etyop_2Erealax_2Ereal] : mono_2Ec_2Eextreal_2Eextreal__sub_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V1c_2E0),mono_2Ec_2Eextreal_2Eextreal__inf_2E1(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),c_2Epred__set_2EIMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))))) = mono_2Ec_2Eextreal_2Eextreal__sup_2E1(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),c_2Epred__set_2EIMAGE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal))),F0_2E0),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V1c_2E0)))),s(tyop_2Emin_2Efun(A_27a,tyop_2Eextreal_2Eextreal),V0f_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))))) ) ).

tff(thm_2Eextreal_2Eext__suminf__add,axiom,
    ! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29] :
      ( ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,V1g_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,V3n_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(F0_2E0,V0f_2E0),V1g_2E0),V3n_2E0) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V3n_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V1g_2E0,V3n_2E0))
     => ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,V1g_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29] :
          ( ! [V2n_2E0: mono_2Etyop_2Enum_2Enum] :
              ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V2n_2E0)))
              & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V1g_2E0,V2n_2E0))) )
         => ( mono_2Ec_2Eextreal_2Eext__suminf_2E1(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(F0_2E0,V0f_2E0),V1g_2E0)) = mono_2Ec_2Eextreal_2Eextreal__add_2E2(mono_2Ec_2Eextreal_2Eext__suminf_2E1(V0f_2E0),mono_2Ec_2Eextreal_2Eext__suminf_2E1(V1g_2E0)) ) ) ) ).

tff(thm_2Eextreal_2Eext__suminf__cmul,axiom,
    ! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29] :
      ( ! [V1c_2E0: mono_2Etyop_2Eextreal_2Eextreal,V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,V3n_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(F0_2E0,V1c_2E0),V0f_2E0),V3n_2E0) = mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V1c_2E0,mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V3n_2E0))
     => ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,V1c_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
          ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1c_2E0))
            & ! [V2n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V2n_2E0))) )
         => ( mono_2Ec_2Eextreal_2Eext__suminf_2E1(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(F0_2E0,V1c_2E0),V0f_2E0)) = mono_2Ec_2Eextreal_2Eextreal__mul_2E2(V1c_2E0,mono_2Ec_2Eextreal_2Eext__suminf_2E1(V0f_2E0)) ) ) ) ).

tff(thm_2Eextreal_2Eext__suminf__cmul__alt,axiom,
    ! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29] :
      ( ! [V1c_2E0: mono_2Etyop_2Erealax_2Ereal,V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,V4n_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(F0_2E0,V1c_2E0),V0f_2E0),V4n_2E0) = mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V1c_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V4n_2E0))
     => ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,V1c_2E0: mono_2Etyop_2Erealax_2Ereal] :
          ( ( p(mono_2Ec_2Ereal_2Ereal__lte_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1c_2E0))
            & ( ! [V2n_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V2n_2E0) != mono_2Ec_2Eextreal_2ENegInf_2E0
              | ! [V3n_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V3n_2E0) != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
         => ( mono_2Ec_2Eextreal_2Eext__suminf_2E1(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(F0_2E0,V1c_2E0),V0f_2E0)) = mono_2Ec_2Eextreal_2Eextreal__mul_2E2(mono_2Ec_2Eextreal_2ENormal_2E1(V1c_2E0),mono_2Ec_2Eextreal_2Eext__suminf_2E1(V0f_2E0)) ) ) ) ).

tff(thm_2Eextreal_2Eext__suminf__lt__infty,axiom,
    ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29] :
      ( ( ! [V1n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V1n_2E0)))
        & ( mono_2Ec_2Eextreal_2Eext__suminf_2E1(V0f_2E0) != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
     => ! [V2n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Eextreal_2Eextreal__lt_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V2n_2E0),mono_2Ec_2Eextreal_2EPosInf_2E0)) ) ).

tff(thm_2Eextreal_2Eext__suminf__suminf,axiom,
    ! [F1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29,F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29] :
      ( ! [V0r_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,V3n_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(F1_2E0,V0r_2E0),V3n_2E0) = mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal(V0r_2E0,V3n_2E0))
     => ( ! [V0r_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,V2n_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(F0_2E0,V0r_2E0),V2n_2E0) = mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal(V0r_2E0,V2n_2E0))
       => ! [V0r_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29] :
            ( ( ! [V1n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Ereal_2Ereal__lte_2E2(mono_2Ec_2Ereal_2Ereal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal(V0r_2E0,V1n_2E0)))
              & ( mono_2Ec_2Eextreal_2Eext__suminf_2E1(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(F0_2E0,V0r_2E0)) != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
           => ( mono_2Ec_2Eextreal_2Eext__suminf_2E1(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(F1_2E0,V0r_2E0)) = mono_2Ec_2Eextreal_2ENormal_2E1(mono_2Ec_2Eseq_2Esuminf_2E1(V0r_2E0)) ) ) ) ) ).

tff(thm_2Eextreal_2Eext__suminf__mono,axiom,
    ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,V1g_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29] :
      ( ! [V2n_2E0: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V1g_2E0,V2n_2E0) != mono_2Ec_2Eextreal_2ENegInf_2E0 )
          & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V1g_2E0,V2n_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V2n_2E0))) )
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eext__suminf_2E1(V1g_2E0),mono_2Ec_2Eextreal_2Eext__suminf_2E1(V0f_2E0))) ) ).

tff(thm_2Eextreal_2Eext__suminf__sub,axiom,
    ! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29_29] :
      ( ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,V1g_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,V3i_2E0: mono_2Etyop_2Enum_2Enum] : mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(F0_2E0,V0f_2E0),V1g_2E0),V3i_2E0) = mono_2Ec_2Eextreal_2Eextreal__sub_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V3i_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V1g_2E0,V3i_2E0))
     => ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,V1g_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29] :
          ( ( ! [V2n_2E0: mono_2Etyop_2Enum_2Enum] :
                ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V1g_2E0,V2n_2E0)))
                & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V1g_2E0,V2n_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V2n_2E0))) )
            & ( mono_2Ec_2Eextreal_2Eext__suminf_2E1(V0f_2E0) != mono_2Ec_2Eextreal_2EPosInf_2E0 ) )
         => ( mono_2Ec_2Eextreal_2Eext__suminf_2E1(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29_29(F0_2E0,V0f_2E0),V1g_2E0)) = mono_2Ec_2Eextreal_2Eextreal__sub_2E2(mono_2Ec_2Eextreal_2Eext__suminf_2E1(V0f_2E0),mono_2Ec_2Eextreal_2Eext__suminf_2E1(V1g_2E0)) ) ) ) ).

tff(thm_2Eextreal_2Eext__suminf__sum,axiom,
    ! [V0f_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,V1n_2E0: mono_2Etyop_2Enum_2Enum] :
      ( ( ! [V2n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V2n_2E0)))
        & ! [V3m_2E0: mono_2Etyop_2Enum_2Enum] :
            ( p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(V1n_2E0,V3m_2E0))
           => ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal(V0f_2E0,V3m_2E0) = mono_2Ec_2Eextreal_2Eextreal__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ) )
     => ( mono_2Ec_2Eextreal_2Eext__suminf_2E1(V0f_2E0) = mono_2Ec_2Eextreal_2EEXTREAL__SUM__IMAGE_2E2_2Emono_2Etyop_2Enum_2Enum(V0f_2E0,mono_2Ec_2Epred__set_2Ecount_2E1(V1n_2E0)) ) ) ).

tff(thm_2Eextreal_2Emin__le,axiom,
    ! [V0z_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__min_2E2(V1x_2E0,V2y_2E0),V0z_2E0))
    <=> ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1x_2E0,V0z_2E0))
        | p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V2y_2E0,V0z_2E0)) ) ) ).

tff(thm_2Eextreal_2Emin__le1,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] : p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__min_2E2(V0x_2E0,V1y_2E0),V0x_2E0)) ).

tff(thm_2Eextreal_2Emin__le2,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] : p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__min_2E2(V0x_2E0,V1y_2E0),V1y_2E0)) ).

tff(thm_2Eextreal_2Ele__min,axiom,
    ! [V0z_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0z_2E0,mono_2Ec_2Eextreal_2Eextreal__min_2E2(V1x_2E0,V2y_2E0)))
    <=> ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0z_2E0,V1x_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0z_2E0,V2y_2E0)) ) ) ).

tff(thm_2Eextreal_2Emin__le2__imp,axiom,
    ! [V0x1_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1x2_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2y1_2E0: mono_2Etyop_2Eextreal_2Eextreal,V3y2_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x1_2E0,V2y1_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1x2_2E0,V3y2_2E0)) )
     => p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__min_2E2(V0x1_2E0,V1x2_2E0),mono_2Ec_2Eextreal_2Eextreal__min_2E2(V2y1_2E0,V3y2_2E0))) ) ).

tff(thm_2Eextreal_2Emin__refl,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__min_2E2(V0x_2E0,V0x_2E0) = V0x_2E0 ).

tff(thm_2Eextreal_2Emin__comm,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] : mono_2Ec_2Eextreal_2Eextreal__min_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2Eextreal_2Eextreal__min_2E2(V1y_2E0,V0x_2E0) ).

tff(thm_2Eextreal_2Emin__infty,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( ( mono_2Ec_2Eextreal_2Eextreal__min_2E2(V0x_2E0,mono_2Ec_2Eextreal_2EPosInf_2E0) = V0x_2E0 )
      & ( mono_2Ec_2Eextreal_2Eextreal__min_2E2(mono_2Ec_2Eextreal_2EPosInf_2E0,V0x_2E0) = V0x_2E0 )
      & ( mono_2Ec_2Eextreal_2Eextreal__min_2E2(mono_2Ec_2Eextreal_2ENegInf_2E0,V0x_2E0) = mono_2Ec_2Eextreal_2ENegInf_2E0 )
      & ( mono_2Ec_2Eextreal_2Eextreal__min_2E2(V0x_2E0,mono_2Ec_2Eextreal_2ENegInf_2E0) = mono_2Ec_2Eextreal_2ENegInf_2E0 ) ) ).

tff(thm_2Eextreal_2Ele__max,axiom,
    ! [V0z_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0z_2E0,mono_2Ec_2Eextreal_2Eextreal__max_2E2(V1x_2E0,V2y_2E0)))
    <=> ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0z_2E0,V1x_2E0))
        | p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0z_2E0,V2y_2E0)) ) ) ).

tff(thm_2Eextreal_2Ele__max1,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] : p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V0x_2E0,mono_2Ec_2Eextreal_2Eextreal__max_2E2(V0x_2E0,V1y_2E0))) ).

tff(thm_2Eextreal_2Ele__max2,axiom,
    ! [V0x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1y_2E0: mono_2Etyop_2Eextreal_2Eextreal] : p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1y_2E0,mono_2Ec_2Eextreal_2Eextreal__max_2E2(V0x_2E0,V1y_2E0))) ).

tff(thm_2Eextreal_2Emax__le,conjecture,
    ! [V0z_2E0: mono_2Etyop_2Eextreal_2Eextreal,V1x_2E0: mono_2Etyop_2Eextreal_2Eextreal,V2y_2E0: mono_2Etyop_2Eextreal_2Eextreal] :
      ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__max_2E2(V1x_2E0,V2y_2E0),V0z_2E0))
    <=> ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V1x_2E0,V0z_2E0))
        & p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(V2y_2E0,V0z_2E0)) ) ) ).

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