%------------------------------------------------------------------------------
% File     : ITP113_4 : TPTP v8.2.0. Bugfixed v7.5.0.
% Domain   : Interactive Theorem Proving
% Axioms   : HOL4 syntactic export, chainy mode
% Version  : [BG+19] axioms.
% English  :

% Refs     : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
%          : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% Source   : [BG+19]
% Names    : realax.ax [Gau19]
%          : HL4113_4.ax [TPAP]

% Status   : Satisfiable
% Syntax   : Number of formulae    :  578 ( 210 unt; 314 typ;   0 def)
%            Number of atoms       :  360 ( 228 equ)
%            Maximal formula atoms :    8 (   0 avg)
%            Number of connectives :  112 (  16   ~;   7   |;  25   &)
%                                         (  23 <=>;  41  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of types       :   41 (  40 usr)
%            Number of type conns  :  262 ( 184   >;  78   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   0 prp; 1-2 aty)
%            Number of functors    :  273 ( 273 usr;  90 con; 0-3 aty)
%            Number of variables   :  456 ( 441   !;  15   ?; 456   :)
% SPC      : TF0_SAT_EQU_NAR

% Comments :
% Bugfixes : v7.5.0 - Fixes to the axioms.
%------------------------------------------------------------------------------
tff(u,type,
    u: $tType ).

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

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

tff(mono_2Etyop_2Emin_2Ebool,type,
    mono_2Etyop_2Emin_2Ebool: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_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_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29: $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_2Ehreal_2Ehreal_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Ehreal_2Ehreal_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_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_2Ehreal_2Ehreal,type,
    mono_2Etyop_2Ehreal_2Ehreal: $tType ).

tff(mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
    mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: $tType ).

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

tff(tyop_2Ehreal_2Ehreal,type,
    tyop_2Ehreal_2Ehreal: d ).

tff(tyop_2Emin_2Ebool,type,
    tyop_2Emin_2Ebool: d ).

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

tff(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_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_2Ebool_2E_2F_5C_2E0,type,
    c_2Ebool_2E_2F_5C_2E0: u ).

tff(c_2Ebool_2E_2F_5C_2E2,type,
    c_2Ebool_2E_2F_5C_2E2: ( du * du ) > u ).

tff(c_2Emin_2E_3D_2E0,type,
    c_2Emin_2E_3D_2E0: u ).

tff(c_2Emin_2E_3D_2E2,type,
    c_2Emin_2E_3D_2E2: ( du * du ) > u ).

tff(c_2Emin_2E_3D_3D_3E_2E0,type,
    c_2Emin_2E_3D_3D_3E_2E0: u ).

tff(c_2Emin_2E_3D_3D_3E_2E2,type,
    c_2Emin_2E_3D_3D_3E_2E2: ( du * du ) > u ).

tff(c_2Ebool_2E_3F_2E0,type,
    c_2Ebool_2E_3F_2E0: u ).

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

tff(c_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_2ECOND_2E0,type,
    c_2Ebool_2ECOND_2E0: u ).

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

tff(c_2Ebool_2EF_2E0,type,
    c_2Ebool_2EF_2E0: u ).

tff(c_2Equotient_2EQUOTIENT_2E0,type,
    c_2Equotient_2EQUOTIENT_2E0: u ).

tff(c_2Equotient_2EQUOTIENT_2E3,type,
    c_2Equotient_2EQUOTIENT_2E3: ( du * du * 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_2Ebool_2E_5C_2F_2E0,type,
    c_2Ebool_2E_5C_2F_2E0: u ).

tff(c_2Ebool_2E_5C_2F_2E2,type,
    c_2Ebool_2E_5C_2F_2E2: ( du * du ) > u ).

tff(c_2Ehreal_2Ehreal__1_2E0,type,
    c_2Ehreal_2Ehreal__1_2E0: u ).

tff(c_2Ehreal_2Ehreal__add_2E0,type,
    c_2Ehreal_2Ehreal__add_2E0: u ).

tff(c_2Ehreal_2Ehreal__add_2E2,type,
    c_2Ehreal_2Ehreal__add_2E2: ( du * du ) > u ).

tff(c_2Ehreal_2Ehreal__inv_2E0,type,
    c_2Ehreal_2Ehreal__inv_2E0: u ).

tff(c_2Ehreal_2Ehreal__inv_2E1,type,
    c_2Ehreal_2Ehreal__inv_2E1: du > u ).

tff(c_2Ehreal_2Ehreal__lt_2E0,type,
    c_2Ehreal_2Ehreal__lt_2E0: u ).

tff(c_2Ehreal_2Ehreal__lt_2E2,type,
    c_2Ehreal_2Ehreal__lt_2E2: ( du * du ) > u ).

tff(c_2Ehreal_2Ehreal__mul_2E0,type,
    c_2Ehreal_2Ehreal__mul_2E0: u ).

tff(c_2Ehreal_2Ehreal__mul_2E2,type,
    c_2Ehreal_2Ehreal__mul_2E2: ( du * du ) > u ).

tff(c_2Erealax_2Ehreal__of__real_2E0,type,
    c_2Erealax_2Ehreal__of__real_2E0: u ).

tff(c_2Erealax_2Ehreal__of__real_2E1,type,
    c_2Erealax_2Ehreal__of__real_2E1: du > u ).

tff(c_2Erealax_2Ehreal__of__treal_2E0,type,
    c_2Erealax_2Ehreal__of__treal_2E0: u ).

tff(c_2Erealax_2Ehreal__of__treal_2E1,type,
    c_2Erealax_2Ehreal__of__treal_2E1: du > u ).

tff(c_2Ehreal_2Ehreal__sub_2E0,type,
    c_2Ehreal_2Ehreal__sub_2E0: u ).

tff(c_2Ehreal_2Ehreal__sub_2E2,type,
    c_2Ehreal_2Ehreal__sub_2E2: ( du * du ) > u ).

tff(c_2Erealax_2Einv_2E0,type,
    c_2Erealax_2Einv_2E0: u ).

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

tff(c_2Erealax_2Ereal__0_2E0,type,
    c_2Erealax_2Ereal__0_2E0: u ).

tff(c_2Erealax_2Ereal__1_2E0,type,
    c_2Erealax_2Ereal__1_2E0: u ).

tff(c_2Erealax_2Ereal__ABS_2E0,type,
    c_2Erealax_2Ereal__ABS_2E0: u ).

tff(c_2Erealax_2Ereal__ABS_2E1,type,
    c_2Erealax_2Ereal__ABS_2E1: du > u ).

tff(c_2Erealax_2Ereal__ABS__CLASS_2E0,type,
    c_2Erealax_2Ereal__ABS__CLASS_2E0: u ).

tff(c_2Erealax_2Ereal__ABS__CLASS_2E1,type,
    c_2Erealax_2Ereal__ABS__CLASS_2E1: du > u ).

tff(c_2Erealax_2Ereal__REP_2E0,type,
    c_2Erealax_2Ereal__REP_2E0: u ).

tff(c_2Erealax_2Ereal__REP_2E1,type,
    c_2Erealax_2Ereal__REP_2E1: du > u ).

tff(c_2Erealax_2Ereal__REP__CLASS_2E0,type,
    c_2Erealax_2Ereal__REP__CLASS_2E0: u ).

tff(c_2Erealax_2Ereal__REP__CLASS_2E1,type,
    c_2Erealax_2Ereal__REP__CLASS_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_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_2Erealax_2Ereal__of__hreal_2E0,type,
    c_2Erealax_2Ereal__of__hreal_2E0: u ).

tff(c_2Erealax_2Ereal__of__hreal_2E1,type,
    c_2Erealax_2Ereal__of__hreal_2E1: du > u ).

tff(c_2Erealax_2Etreal__0_2E0,type,
    c_2Erealax_2Etreal__0_2E0: u ).

tff(c_2Erealax_2Etreal__1_2E0,type,
    c_2Erealax_2Etreal__1_2E0: u ).

tff(c_2Erealax_2Etreal__add_2E0,type,
    c_2Erealax_2Etreal__add_2E0: u ).

tff(c_2Erealax_2Etreal__add_2E2,type,
    c_2Erealax_2Etreal__add_2E2: ( du * du ) > u ).

tff(c_2Erealax_2Etreal__eq_2E0,type,
    c_2Erealax_2Etreal__eq_2E0: u ).

tff(c_2Erealax_2Etreal__eq_2E1,type,
    c_2Erealax_2Etreal__eq_2E1: du > u ).

tff(c_2Erealax_2Etreal__eq_2E2,type,
    c_2Erealax_2Etreal__eq_2E2: ( du * du ) > u ).

tff(c_2Erealax_2Etreal__inv_2E0,type,
    c_2Erealax_2Etreal__inv_2E0: u ).

tff(c_2Erealax_2Etreal__inv_2E1,type,
    c_2Erealax_2Etreal__inv_2E1: du > u ).

tff(c_2Erealax_2Etreal__lt_2E0,type,
    c_2Erealax_2Etreal__lt_2E0: u ).

tff(c_2Erealax_2Etreal__lt_2E2,type,
    c_2Erealax_2Etreal__lt_2E2: ( du * du ) > u ).

tff(c_2Erealax_2Etreal__mul_2E0,type,
    c_2Erealax_2Etreal__mul_2E0: u ).

tff(c_2Erealax_2Etreal__mul_2E2,type,
    c_2Erealax_2Etreal__mul_2E2: ( du * du ) > u ).

tff(c_2Erealax_2Etreal__neg_2E0,type,
    c_2Erealax_2Etreal__neg_2E0: u ).

tff(c_2Erealax_2Etreal__neg_2E1,type,
    c_2Erealax_2Etreal__neg_2E1: du > u ).

tff(c_2Erealax_2Etreal__of__hreal_2E0,type,
    c_2Erealax_2Etreal__of__hreal_2E0: u ).

tff(c_2Erealax_2Etreal__of__hreal_2E1,type,
    c_2Erealax_2Etreal__of__hreal_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_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Ehreal_2Ehreal ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29 * mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 * mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29 * mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 * mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Ehreal_2Ehreal ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 * mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Erealax_2Ereal,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29 * mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29 * mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Ehreal_2Ehreal,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Ehreal_2Ehreal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29 * mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > mono_2Etyop_2Ehreal_2Ehreal ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 * mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29 * mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > mono_2Etyop_2Erealax_2Ereal ).

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_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_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_2Ehreal_2Ehreal,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Ehreal_2Ehreal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Ehreal_2Ehreal_29 * mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Ehreal_2Ehreal ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 * mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).

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_2Ec_2Epair_2E_2C_2E0_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal,type,
    mono_2Ec_2Epair_2E_2C_2E0_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29 ).

tff(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal,type,
    mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal: ( mono_2Etyop_2Ehreal_2Ehreal * mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).

tff(mono_2Ec_2Ebool_2E_2F_5C_2E0,type,
    mono_2Ec_2Ebool_2E_2F_5C_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Ebool_2E_2F_5C_2E2,type,
    mono_2Ec_2Ebool_2E_2F_5C_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Emin_2E_3D_3D_3E_2E0,type,
    mono_2Ec_2Emin_2E_3D_3D_3E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Emin_2E_3D_3D_3E_2E2,type,
    mono_2Ec_2Emin_2E_3D_3D_3E_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Ehreal_2Ehreal,type,
    mono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Ehreal_2Ehreal: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29 ).

tff(mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Ehreal_2Ehreal,type,
    mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Ehreal_2Ehreal: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29 > mono_2Etyop_2Ehreal_2Ehreal ).

tff(mono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
    mono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 ).

tff(mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
    mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).

tff(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
    mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29 ).

tff(mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
    mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 * mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).

tff(mono_2Ec_2Ebool_2EF_2E0,type,
    mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Equotient_2EQUOTIENT_2E0_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal,type,
    mono_2Ec_2Equotient_2EQUOTIENT_2E0_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29 ).

tff(mono_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal,type,
    mono_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Ebool_2ET_2E0,type,
    mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal,type,
    mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal,type,
    mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Ebool_2E_5C_2F_2E0,type,
    mono_2Ec_2Ebool_2E_5C_2F_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Ebool_2E_5C_2F_2E2,type,
    mono_2Ec_2Ebool_2E_5C_2F_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Ehreal_2Ehreal__1_2E0,type,
    mono_2Ec_2Ehreal_2Ehreal__1_2E0: mono_2Etyop_2Ehreal_2Ehreal ).

tff(mono_2Ec_2Ehreal_2Ehreal__add_2E0,type,
    mono_2Ec_2Ehreal_2Ehreal__add_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 ).

tff(mono_2Ec_2Ehreal_2Ehreal__add_2E2,type,
    mono_2Ec_2Ehreal_2Ehreal__add_2E2: ( mono_2Etyop_2Ehreal_2Ehreal * mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Ehreal_2Ehreal ).

tff(mono_2Ec_2Ehreal_2Ehreal__inv_2E0,type,
    mono_2Ec_2Ehreal_2Ehreal__inv_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).

tff(mono_2Ec_2Ehreal_2Ehreal__inv_2E1,type,
    mono_2Ec_2Ehreal_2Ehreal__inv_2E1: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Ehreal_2Ehreal ).

tff(mono_2Ec_2Ehreal_2Ehreal__lt_2E0,type,
    mono_2Ec_2Ehreal_2Ehreal__lt_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Ehreal_2Ehreal__lt_2E2,type,
    mono_2Ec_2Ehreal_2Ehreal__lt_2E2: ( mono_2Etyop_2Ehreal_2Ehreal * mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Ehreal_2Ehreal__mul_2E0,type,
    mono_2Ec_2Ehreal_2Ehreal__mul_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 ).

tff(mono_2Ec_2Ehreal_2Ehreal__mul_2E2,type,
    mono_2Ec_2Ehreal_2Ehreal__mul_2E2: ( mono_2Etyop_2Ehreal_2Ehreal * mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Ehreal_2Ehreal ).

tff(mono_2Ec_2Erealax_2Ehreal__of__real_2E0,type,
    mono_2Ec_2Erealax_2Ehreal__of__real_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Ehreal_2Ehreal_29 ).

tff(mono_2Ec_2Erealax_2Ehreal__of__real_2E1,type,
    mono_2Ec_2Erealax_2Ehreal__of__real_2E1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Ehreal_2Ehreal ).

tff(mono_2Ec_2Erealax_2Ehreal__of__treal_2E0,type,
    mono_2Ec_2Erealax_2Ehreal__of__treal_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29 ).

tff(mono_2Ec_2Erealax_2Ehreal__of__treal_2E1,type,
    mono_2Ec_2Erealax_2Ehreal__of__treal_2E1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Ehreal_2Ehreal ).

tff(mono_2Ec_2Ehreal_2Ehreal__sub_2E0,type,
    mono_2Ec_2Ehreal_2Ehreal__sub_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 ).

tff(mono_2Ec_2Ehreal_2Ehreal__sub_2E2,type,
    mono_2Ec_2Ehreal_2Ehreal__sub_2E2: ( mono_2Etyop_2Ehreal_2Ehreal * mono_2Etyop_2Ehreal_2Ehreal ) > mono_2Etyop_2Ehreal_2Ehreal ).

tff(mono_2Ec_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_2Erealax_2Ereal__0_2E0,type,
    mono_2Ec_2Erealax_2Ereal__0_2E0: mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Ec_2Erealax_2Ereal__1_2E0,type,
    mono_2Ec_2Erealax_2Ereal__1_2E0: mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Ec_2Erealax_2Ereal__ABS_2E0,type,
    mono_2Ec_2Erealax_2Ereal__ABS_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29 ).

tff(mono_2Ec_2Erealax_2Ereal__ABS_2E1,type,
    mono_2Ec_2Erealax_2Ereal__ABS_2E1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Ec_2Erealax_2Ereal__ABS__CLASS_2E0,type,
    mono_2Ec_2Erealax_2Ereal__ABS__CLASS_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29 ).

tff(mono_2Ec_2Erealax_2Ereal__ABS__CLASS_2E1,type,
    mono_2Ec_2Erealax_2Ereal__ABS__CLASS_2E1: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29 > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Ec_2Erealax_2Ereal__REP_2E0,type,
    mono_2Ec_2Erealax_2Ereal__REP_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 ).

tff(mono_2Ec_2Erealax_2Ereal__REP_2E1,type,
    mono_2Ec_2Erealax_2Ereal__REP_2E1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).

tff(mono_2Ec_2Erealax_2Ereal__REP__CLASS_2E0,type,
    mono_2Ec_2Erealax_2Ereal__REP__CLASS_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Erealax_2Ereal__REP__CLASS_2E1,type,
    mono_2Ec_2Erealax_2Ereal__REP__CLASS_2E1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29 ).

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_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_2Erealax_2Ereal__of__hreal_2E0,type,
    mono_2Ec_2Erealax_2Ereal__of__hreal_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29 ).

tff(mono_2Ec_2Erealax_2Ereal__of__hreal_2E1,type,
    mono_2Ec_2Erealax_2Ereal__of__hreal_2E1: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Erealax_2Ereal ).

tff(mono_2Ec_2Erealax_2Etreal__0_2E0,type,
    mono_2Ec_2Erealax_2Etreal__0_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).

tff(mono_2Ec_2Erealax_2Etreal__1_2E0,type,
    mono_2Ec_2Erealax_2Etreal__1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).

tff(mono_2Ec_2Erealax_2Etreal__add_2E0,type,
    mono_2Ec_2Erealax_2Etreal__add_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29 ).

tff(mono_2Ec_2Erealax_2Etreal__add_2E2,type,
    mono_2Ec_2Erealax_2Etreal__add_2E2: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 * mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).

tff(mono_2Ec_2Erealax_2Etreal__eq_2E0,type,
    mono_2Ec_2Erealax_2Etreal__eq_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Erealax_2Etreal__eq_2E1,type,
    mono_2Ec_2Erealax_2Etreal__eq_2E1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Ec_2Erealax_2Etreal__eq_2E2,type,
    mono_2Ec_2Erealax_2Etreal__eq_2E2: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 * mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Erealax_2Etreal__inv_2E0,type,
    mono_2Ec_2Erealax_2Etreal__inv_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 ).

tff(mono_2Ec_2Erealax_2Etreal__inv_2E1,type,
    mono_2Ec_2Erealax_2Etreal__inv_2E1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).

tff(mono_2Ec_2Erealax_2Etreal__lt_2E0,type,
    mono_2Ec_2Erealax_2Etreal__lt_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Erealax_2Etreal__lt_2E2,type,
    mono_2Ec_2Erealax_2Etreal__lt_2E2: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 * mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Erealax_2Etreal__mul_2E0,type,
    mono_2Ec_2Erealax_2Etreal__mul_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29 ).

tff(mono_2Ec_2Erealax_2Etreal__mul_2E2,type,
    mono_2Ec_2Erealax_2Etreal__mul_2E2: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 * mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).

tff(mono_2Ec_2Erealax_2Etreal__neg_2E0,type,
    mono_2Ec_2Erealax_2Etreal__neg_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 ).

tff(mono_2Ec_2Erealax_2Etreal__neg_2E1,type,
    mono_2Ec_2Erealax_2Etreal__neg_2E1: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).

tff(mono_2Ec_2Erealax_2Etreal__of__hreal_2E0,type,
    mono_2Ec_2Erealax_2Etreal__of__hreal_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 ).

tff(mono_2Ec_2Erealax_2Etreal__of__hreal_2E1,type,
    mono_2Ec_2Erealax_2Etreal__of__hreal_2E1: mono_2Etyop_2Ehreal_2Ehreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).

tff(mono_2Ec_2Ebool_2E_7E_2E0,type,
    mono_2Ec_2Ebool_2E_7E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Ec_2Ebool_2E_7E_2E1,type,
    mono_2Ec_2Ebool_2E_7E_2E1: mono_2Etyop_2Emin_2Ebool > mono_2Etyop_2Emin_2Ebool ).

tff(i_mono_2Etyop_2Emin_2Ebool,type,
    i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_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_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_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_2Ehreal_2Ehreal_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Ehreal_2Ehreal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Ehreal_2Ehreal_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_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_2Ehreal_2Ehreal,type,
    i_mono_2Etyop_2Ehreal_2Ehreal: mono_2Etyop_2Ehreal_2Ehreal > u ).

tff(i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
    i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 > u ).

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

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

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_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_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_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_2Ehreal_2Ehreal_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Ehreal_2Ehreal_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Ehreal_2Ehreal_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_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_2Ehreal_2Ehreal,type,
    j_mono_2Etyop_2Ehreal_2Ehreal: du > mono_2Etyop_2Ehreal_2Ehreal ).

tff(j_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,type,
    j_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29 ).

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

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

tff(reserved_2Eho_2Eboolext,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Ebool,V1_2E0: mono_2Etyop_2Emin_2Ebool] :
      ( ( p(V0_2E0)
      <=> p(V1_2E0) )
     => ( V0_2E0 = V1_2E0 ) ) ).

tff(reserved_2Eho_2Etruth,axiom,
    p(mono_2Ec_2Ebool_2ET_2E0) ).

tff(reserved_2Eho_2Enotfalse,axiom,
    ~ p(mono_2Ec_2Ebool_2EF_2E0) ).

tff(reserved_2Eho_2Ebool__cases__ax,axiom,
    ! [V0t_2E0: mono_2Etyop_2Emin_2Ebool] :
      ( ( V0t_2E0 = mono_2Ec_2Ebool_2ET_2E0 )
      | ( V0t_2E0 = mono_2Ec_2Ebool_2EF_2E0 ) ) ).

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

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

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

tff(reserved_2Elogic_2E_2F_5C,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Ebool,V1_2E0: mono_2Etyop_2Emin_2Ebool] :
      ( p(mono_2Ec_2Ebool_2E_2F_5C_2E2(V0_2E0,V1_2E0))
    <=> ( p(V0_2E0)
        & p(V1_2E0) ) ) ).

tff(reserved_2Elogic_2E_5C_2F,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Ebool,V1_2E0: mono_2Etyop_2Emin_2Ebool] :
      ( p(mono_2Ec_2Ebool_2E_5C_2F_2E2(V0_2E0,V1_2E0))
    <=> ( p(V0_2E0)
        | p(V1_2E0) ) ) ).

tff(reserved_2Elogic_2E_7E,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Ebool] :
      ( p(mono_2Ec_2Ebool_2E_7E_2E1(V0_2E0))
    <=> ~ p(V0_2E0) ) ).

tff(reserved_2Elogic_2E_3D_3D_3E,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Ebool,V1_2E0: mono_2Etyop_2Emin_2Ebool] :
      ( p(mono_2Ec_2Emin_2E_3D_3D_3E_2E2(V0_2E0,V1_2E0))
    <=> ( p(V0_2E0)
       => p(V1_2E0) ) ) ).

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

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

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

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

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)))),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool),tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool),tyop_2Ehreal_2Ehreal),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool),tyop_2Ehreal_2Ehreal),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Erealax_2Ereal),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Erealax_2Ereal),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),tyop_2Emin_2Ebool))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),tyop_2Emin_2Ebool))),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),tyop_2Emin_2Ebool)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),tyop_2Emin_2Ebool),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool))),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal))),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Erealax_2Ereal),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Erealax_2Ereal),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal))),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Ehreal_2Ehreal),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Ehreal_2Ehreal),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Erealax_2Ereal),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Erealax_2Ereal),V0_2E0) ) ).

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_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),V0_2E0) ) ).

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_2Ehreal_2Ehreal_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Ehreal_2Ehreal_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Ehreal_2Ehreal_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Ehreal_2Ehreal),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Ehreal_2Ehreal),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),V0_2E0) ) ).

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_2Ehreal_2Ehreal,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(j_mono_2Etyop_2Ehreal_2Ehreal(s(tyop_2Ehreal_2Ehreal,V0_2E0)))) = s(tyop_2Ehreal_2Ehreal,V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(j_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),V0_2E0)))) = s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),V0_2E0) ) ).

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(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Ebool] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool),tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_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_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29(V0_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_2Ehreal_2Ehreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Ehreal_2Ehreal_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Ehreal_2Ehreal_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Ehreal_2Ehreal_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_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_2Ehreal_2Ehreal,axiom,
    ! [V0_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( j_mono_2Etyop_2Ehreal_2Ehreal(s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( j_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(V0_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(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_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal,axiom,
    ! [X0_2E0: mono_2Etyop_2Ehreal_2Ehreal,X1_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(mono_2Ec_2Epair_2E_2C_2E0_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal,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_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_2Ehreal_2Ehreal,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29] : ( mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Ehreal_2Ehreal(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal(mono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Ehreal_2Ehreal,X0_2E0) ) ).

tff(arityeq1_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29] : ( mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,X0_2E0) ) ).

tff(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Ebool,X1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,X2_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(X0_2E0,X1_2E0,X2_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,X0_2E0),X1_2E0),X2_2E0) ) ).

tff(arityeq3_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29,X1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29,X2_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29] : ( mono_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal(X0_2E0,X1_2E0,X2_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29(mono_2Ec_2Equotient_2EQUOTIENT_2E0_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal,X0_2E0),X1_2E0),X2_2E0) ) ).

tff(arityeq2_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,X1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29] : ( mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal,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(arityeq2_2Ec_2Ehreal_2Ehreal__add_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Ehreal_2Ehreal,X1_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__add_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Ec_2Ehreal_2Ehreal__add_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq1_2Ec_2Ehreal_2Ehreal__inv_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__inv_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(mono_2Ec_2Ehreal_2Ehreal__inv_2E0,X0_2E0) ) ).

tff(arityeq2_2Ec_2Ehreal_2Ehreal__lt_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Ehreal_2Ehreal,X1_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__lt_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ehreal_2Ehreal__lt_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq2_2Ec_2Ehreal_2Ehreal__mul_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Ehreal_2Ehreal,X1_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__mul_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Ec_2Ehreal_2Ehreal__mul_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq1_2Ec_2Erealax_2Ehreal__of__real_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Ehreal__of__real_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Ehreal_2Ehreal(mono_2Ec_2Erealax_2Ehreal__of__real_2E0,X0_2E0) ) ).

tff(arityeq1_2Ec_2Erealax_2Ehreal__of__treal_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( mono_2Ec_2Erealax_2Ehreal__of__treal_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Ehreal_2Ehreal(mono_2Ec_2Erealax_2Ehreal__of__treal_2E0,X0_2E0) ) ).

tff(arityeq2_2Ec_2Ehreal_2Ehreal__sub_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Ehreal_2Ehreal,X1_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__sub_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Ec_2Ehreal_2Ehreal__sub_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq1_2Ec_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(arityeq1_2Ec_2Erealax_2Ereal__ABS_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( mono_2Ec_2Erealax_2Ereal__ABS_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__ABS_2E0,X0_2E0) ) ).

tff(arityeq1_2Ec_2Erealax_2Ereal__ABS__CLASS_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29] : ( mono_2Ec_2Erealax_2Ereal__ABS__CLASS_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__ABS__CLASS_2E0,X0_2E0) ) ).

tff(arityeq1_2Ec_2Erealax_2Ereal__REP_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Ereal__REP_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Ec_2Erealax_2Ereal__REP_2E0,X0_2E0) ) ).

tff(arityeq1_2Ec_2Erealax_2Ereal__REP__CLASS_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Ereal__REP__CLASS_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Erealax_2Ereal__REP__CLASS_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_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_2Erealax_2Ereal__of__hreal_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Erealax_2Ereal__of__hreal_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__of__hreal_2E0,X0_2E0) ) ).

tff(arityeq2_2Ec_2Erealax_2Etreal__add_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,X1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( mono_2Ec_2Erealax_2Etreal__add_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(mono_2Ec_2Erealax_2Etreal__add_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq1_2Ec_2Erealax_2Etreal__eq_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( mono_2Ec_2Erealax_2Etreal__eq_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Erealax_2Etreal__eq_2E0,X0_2E0) ) ).

tff(arityeq2_2Ec_2Erealax_2Etreal__eq_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,X1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( mono_2Ec_2Erealax_2Etreal__eq_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Erealax_2Etreal__eq_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq1_2Ec_2Erealax_2Etreal__inv_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( mono_2Ec_2Erealax_2Etreal__inv_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Ec_2Erealax_2Etreal__inv_2E0,X0_2E0) ) ).

tff(arityeq2_2Ec_2Erealax_2Etreal__lt_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,X1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( mono_2Ec_2Erealax_2Etreal__lt_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Erealax_2Etreal__lt_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq2_2Ec_2Erealax_2Etreal__mul_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,X1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( mono_2Ec_2Erealax_2Etreal__mul_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(mono_2Ec_2Erealax_2Etreal__mul_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq1_2Ec_2Erealax_2Etreal__neg_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( mono_2Ec_2Erealax_2Etreal__neg_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Ec_2Erealax_2Etreal__neg_2E0,X0_2E0) ) ).

tff(arityeq1_2Ec_2Erealax_2Etreal__of__hreal_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Erealax_2Etreal__of__hreal_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Ec_2Erealax_2Etreal__of__hreal_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_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29,V1_2E0: mono_2Etyop_2Emin_2Ebool] : ( s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29(V0_2E0)),s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29] : ( s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Ehreal_2Ehreal(V0_2E0,V1_2E0))) = s(tyop_2Ehreal_2Ehreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool),tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_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_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29] : ( s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(V0_2E0,V1_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29] : ( s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_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_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erealax_2Ereal_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_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_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29,V1_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29(V0_2E0)),s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,V1_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(V0_2E0)),s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,V1_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29(V0_2E0)),s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(V0_2E0,V1_2E0))) = s(tyop_2Ehreal_2Ehreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(V0_2E0)),s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,V1_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(V0_2E0,V1_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(V0_2E0)),s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Erealax_2Ereal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29,V1_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Erealax_2Ereal(V0_2E0,V1_2E0))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Erealax_2Ereal_29(V0_2E0)),s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29,V1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29(V0_2E0)),s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Ehreal_2Ehreal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29,V1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Ehreal_2Ehreal(V0_2E0,V1_2E0))) = s(tyop_2Ehreal_2Ehreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Ehreal_2Ehreal_29(V0_2E0)),s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,V1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(V0_2E0,V1_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(V0_2E0)),s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29,V1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal(V0_2E0,V1_2E0))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29(V0_2E0)),s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(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_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Erealax_2Ereal] : ( s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29(V0_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_2Ehreal_2Ehreal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Ehreal_2Ehreal_29,V1_2E0: mono_2Etyop_2Erealax_2Ereal] : ( s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Ehreal_2Ehreal(V0_2E0,V1_2E0))) = s(tyop_2Ehreal_2Ehreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Ehreal_2Ehreal_29(V0_2E0)),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29,V1_2E0: mono_2Etyop_2Erealax_2Ereal] : ( s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(V0_2E0,V1_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(V0_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_2Ec_2Epair_2E_2C_2E0_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal,axiom,
    s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29(mono_2Ec_2Epair_2E_2C_2E0_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal)) = s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal))),c_2Epair_2E_2C_2E0) ).

tff(monoeq_2Emono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal,axiom,
    ! [V0_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(V0_2E0,V1_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),c_2Epair_2E_2C_2E2(s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(V0_2E0)),s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Ehreal_2Ehreal,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool),tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Ehreal_2Ehreal_29(mono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Ehreal_2Ehreal)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool),tyop_2Ehreal_2Ehreal),c_2Emin_2E_40_2E0) ).

tff(monoeq_2Emono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Ehreal_2Ehreal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29] : ( s(tyop_2Ehreal_2Ehreal,i_mono_2Etyop_2Ehreal_2Ehreal(mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Ehreal_2Ehreal(V0_2E0))) = s(tyop_2Ehreal_2Ehreal,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(tyop_2Ehreal_2Ehreal,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29(V0_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(mono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),c_2Emin_2E_40_2E0) ).

tff(monoeq_2Emono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29] : ( s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(V0_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)))),c_2Ebool_2ECOND_2E0) ).

tff(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Ebool,V1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(V0_2E0,V1_2E0,V2_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(V0_2E0)),s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(V1_2E0)),s(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),i_mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(V2_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2Equotient_2EQUOTIENT_2E0_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29_2Ctyop_2Emin_2Ebool_29_29_29(mono_2Ec_2Equotient_2EQUOTIENT_2E0_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),tyop_2Emin_2Ebool))),c_2Equotient_2EQUOTIENT_2E0) ).

tff(monoeq_2Emono_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29,V2_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal(V0_2E0,V1_2E0,V2_2E0))) = s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Erealax_2Ereal_29(V1_2E0)),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_29(V2_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2Ebool_2ETYPE__DEFINITION_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool)),c_2Ebool_2ETYPE__DEFINITION_2E0) ).

tff(monoeq_2Emono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ehreal_2Ehreal,tyop_2Ehreal_2Ehreal),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29(V1_2E0)))) ) ).

tff(thm_2Erealax_2Etreal__0,axiom,
    mono_2Ec_2Erealax_2Etreal__0_2E0 = mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(mono_2Ec_2Ehreal_2Ehreal__1_2E0,mono_2Ec_2Ehreal_2Ehreal__1_2E0) ).

tff(thm_2Erealax_2Etreal__1,axiom,
    mono_2Ec_2Erealax_2Etreal__1_2E0 = mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(mono_2Ec_2Ehreal_2Ehreal__add_2E2(mono_2Ec_2Ehreal_2Ehreal__1_2E0,mono_2Ec_2Ehreal_2Ehreal__1_2E0),mono_2Ec_2Ehreal_2Ehreal__1_2E0) ).

tff(thm_2Erealax_2Etreal__neg,axiom,
    ! [V0x_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1y_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Erealax_2Etreal__neg_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(V0x_2E0,V1y_2E0)) = mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(V1y_2E0,V0x_2E0) ) ).

tff(thm_2Erealax_2Etreal__add,axiom,
    ! [V0x1_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1y1_2E0: mono_2Etyop_2Ehreal_2Ehreal,V2x2_2E0: mono_2Etyop_2Ehreal_2Ehreal,V3y2_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Erealax_2Etreal__add_2E2(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(V0x1_2E0,V1y1_2E0),mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(V2x2_2E0,V3y2_2E0)) = mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(mono_2Ec_2Ehreal_2Ehreal__add_2E2(V0x1_2E0,V2x2_2E0),mono_2Ec_2Ehreal_2Ehreal__add_2E2(V1y1_2E0,V3y2_2E0)) ) ).

tff(thm_2Erealax_2Etreal__mul,axiom,
    ! [V0x1_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1y1_2E0: mono_2Etyop_2Ehreal_2Ehreal,V2x2_2E0: mono_2Etyop_2Ehreal_2Ehreal,V3y2_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Erealax_2Etreal__mul_2E2(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(V0x1_2E0,V1y1_2E0),mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(V2x2_2E0,V3y2_2E0)) = mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(mono_2Ec_2Ehreal_2Ehreal__add_2E2(mono_2Ec_2Ehreal_2Ehreal__mul_2E2(V0x1_2E0,V2x2_2E0),mono_2Ec_2Ehreal_2Ehreal__mul_2E2(V1y1_2E0,V3y2_2E0)),mono_2Ec_2Ehreal_2Ehreal__add_2E2(mono_2Ec_2Ehreal_2Ehreal__mul_2E2(V0x1_2E0,V3y2_2E0),mono_2Ec_2Ehreal_2Ehreal__mul_2E2(V1y1_2E0,V2x2_2E0))) ) ).

tff(thm_2Erealax_2Etreal__lt,axiom,
    ! [V0x1_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1y1_2E0: mono_2Etyop_2Ehreal_2Ehreal,V2x2_2E0: mono_2Etyop_2Ehreal_2Ehreal,V3y2_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Erealax_2Etreal__lt_2E2(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(V0x1_2E0,V1y1_2E0),mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(V2x2_2E0,V3y2_2E0)) = mono_2Ec_2Ehreal_2Ehreal__lt_2E2(mono_2Ec_2Ehreal_2Ehreal__add_2E2(V0x1_2E0,V3y2_2E0),mono_2Ec_2Ehreal_2Ehreal__add_2E2(V2x2_2E0,V1y1_2E0)) ) ).

tff(thm_2Erealax_2Etreal__inv,axiom,
    ! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29] :
      ( ! [V0x_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1y_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
          ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29(F0_2E0,V0x_2E0),V1y_2E0))
        <=> ( V0x_2E0 = V1y_2E0 ) )
     => ! [V0x_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1y_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Erealax_2Etreal__inv_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(V0x_2E0,V1y_2E0)) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29(F0_2E0,V0x_2E0),V1y_2E0),mono_2Ec_2Erealax_2Etreal__0_2E0,mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Ec_2Ehreal_2Ehreal__lt_2E2(V1y_2E0,V0x_2E0),mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(mono_2Ec_2Ehreal_2Ehreal__add_2E2(mono_2Ec_2Ehreal_2Ehreal__inv_2E1(mono_2Ec_2Ehreal_2Ehreal__sub_2E2(V0x_2E0,V1y_2E0)),mono_2Ec_2Ehreal_2Ehreal__1_2E0),mono_2Ec_2Ehreal_2Ehreal__1_2E0),mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(mono_2Ec_2Ehreal_2Ehreal__1_2E0,mono_2Ec_2Ehreal_2Ehreal__add_2E2(mono_2Ec_2Ehreal_2Ehreal__inv_2E1(mono_2Ec_2Ehreal_2Ehreal__sub_2E2(V1y_2E0,V0x_2E0)),mono_2Ec_2Ehreal_2Ehreal__1_2E0)))) ) ) ).

tff(thm_2Erealax_2Etreal__eq,axiom,
    ! [V0x1_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1y1_2E0: mono_2Etyop_2Ehreal_2Ehreal,V2x2_2E0: mono_2Etyop_2Ehreal_2Ehreal,V3y2_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
      ( p(mono_2Ec_2Erealax_2Etreal__eq_2E2(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(V0x1_2E0,V1y1_2E0),mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(V2x2_2E0,V3y2_2E0)))
    <=> ( mono_2Ec_2Ehreal_2Ehreal__add_2E2(V0x1_2E0,V3y2_2E0) = mono_2Ec_2Ehreal_2Ehreal__add_2E2(V2x2_2E0,V1y1_2E0) ) ) ).

tff(thm_2Erealax_2Etreal__of__hreal,axiom,
    ! [V0x_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Erealax_2Etreal__of__hreal_2E1(V0x_2E0) = mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(mono_2Ec_2Ehreal_2Ehreal__add_2E2(V0x_2E0,mono_2Ec_2Ehreal_2Ehreal__1_2E0),mono_2Ec_2Ehreal_2Ehreal__1_2E0) ) ).

tff(thm_2Erealax_2Ehreal__of__treal,axiom,
    ! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29_29] :
      ( ! [V0x_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1y_2E0: mono_2Etyop_2Ehreal_2Ehreal,V2d_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
          ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29(F0_2E0,V0x_2E0),V1y_2E0),V2d_2E0))
        <=> ( V0x_2E0 = mono_2Ec_2Ehreal_2Ehreal__add_2E2(V1y_2E0,V2d_2E0) ) )
     => ! [V0x_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1y_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Erealax_2Ehreal__of__treal_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Ehreal_2Ehreal(V0x_2E0,V1y_2E0)) = mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Ehreal_2Ehreal(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Ehreal_2Ehreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Efun_28tyop_2Ehreal_2Ehreal_2Ctyop_2Emin_2Ebool_29_29(F0_2E0,V0x_2E0),V1y_2E0)) ) ) ).

tff(thm_2Erealax_2Ereal__TY__DEF,axiom,
    ! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29] :
      ( ! [V1c_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29] :
          ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool(F0_2E0,V1c_2E0))
        <=> ? [V2r_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
              ( p(mono_2Ec_2Erealax_2Etreal__eq_2E2(V2r_2E0,V2r_2E0))
              & ( V1c_2E0 = mono_2Ec_2Erealax_2Etreal__eq_2E1(V2r_2E0) ) ) )
     => ? [V0rep_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_29] : p(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erealax_2Ereal(F0_2E0,V0rep_2E0)) ) ).

tff(thm_2Erealax_2Ereal__bijections,axiom,
    ( ! [V0a_2E0: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Ereal__ABS__CLASS_2E1(mono_2Ec_2Erealax_2Ereal__REP__CLASS_2E1(V0a_2E0)) = V0a_2E0 )
    & ! [V1r_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29] :
        ( ? [V2r_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
            ( p(mono_2Ec_2Erealax_2Etreal__eq_2E2(V2r_2E0,V2r_2E0))
            & ( V1r_2E0 = mono_2Ec_2Erealax_2Etreal__eq_2E1(V2r_2E0) ) )
      <=> ( mono_2Ec_2Erealax_2Ereal__REP__CLASS_2E1(mono_2Ec_2Erealax_2Ereal__ABS__CLASS_2E1(V1r_2E0)) = V1r_2E0 ) ) ) ).

tff(thm_2Erealax_2Ereal__REP__def,axiom,
    ! [V0a_2E0: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Ereal__REP_2E1(V0a_2E0) = mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29(mono_2Ec_2Erealax_2Ereal__REP__CLASS_2E1(V0a_2E0)) ) ).

tff(thm_2Erealax_2Ereal__ABS__def,axiom,
    ! [V0r_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( mono_2Ec_2Erealax_2Ereal__ABS_2E1(V0r_2E0) = mono_2Ec_2Erealax_2Ereal__ABS__CLASS_2E1(mono_2Ec_2Erealax_2Etreal__eq_2E1(V0r_2E0)) ) ).

tff(thm_2Erealax_2Ereal__0,axiom,
    mono_2Ec_2Erealax_2Ereal__0_2E0 = mono_2Ec_2Erealax_2Ereal__ABS_2E1(mono_2Ec_2Erealax_2Etreal__0_2E0) ).

tff(thm_2Erealax_2Ereal__1,axiom,
    mono_2Ec_2Erealax_2Ereal__1_2E0 = mono_2Ec_2Erealax_2Ereal__ABS_2E1(mono_2Ec_2Erealax_2Etreal__1_2E0) ).

tff(thm_2Erealax_2Ereal__neg,axiom,
    ! [V0T1_2E0: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Ereal__neg_2E1(V0T1_2E0) = mono_2Ec_2Erealax_2Ereal__ABS_2E1(mono_2Ec_2Erealax_2Etreal__neg_2E1(mono_2Ec_2Erealax_2Ereal__REP_2E1(V0T1_2E0))) ) ).

tff(thm_2Erealax_2Ereal__inv,axiom,
    ! [V0T1_2E0: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Einv_2E1(V0T1_2E0) = mono_2Ec_2Erealax_2Ereal__ABS_2E1(mono_2Ec_2Erealax_2Etreal__inv_2E1(mono_2Ec_2Erealax_2Ereal__REP_2E1(V0T1_2E0))) ) ).

tff(thm_2Erealax_2Ereal__add,axiom,
    ! [V0T1_2E0: mono_2Etyop_2Erealax_2Ereal,V1T2_2E0: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Ereal__add_2E2(V0T1_2E0,V1T2_2E0) = mono_2Ec_2Erealax_2Ereal__ABS_2E1(mono_2Ec_2Erealax_2Etreal__add_2E2(mono_2Ec_2Erealax_2Ereal__REP_2E1(V0T1_2E0),mono_2Ec_2Erealax_2Ereal__REP_2E1(V1T2_2E0))) ) ).

tff(thm_2Erealax_2Ereal__mul,axiom,
    ! [V0T1_2E0: mono_2Etyop_2Erealax_2Ereal,V1T2_2E0: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Ereal__mul_2E2(V0T1_2E0,V1T2_2E0) = mono_2Ec_2Erealax_2Ereal__ABS_2E1(mono_2Ec_2Erealax_2Etreal__mul_2E2(mono_2Ec_2Erealax_2Ereal__REP_2E1(V0T1_2E0),mono_2Ec_2Erealax_2Ereal__REP_2E1(V1T2_2E0))) ) ).

tff(thm_2Erealax_2Ereal__lt,axiom,
    ! [V0T1_2E0: mono_2Etyop_2Erealax_2Ereal,V1T2_2E0: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Ereal__lt_2E2(V0T1_2E0,V1T2_2E0) = mono_2Ec_2Erealax_2Etreal__lt_2E2(mono_2Ec_2Erealax_2Ereal__REP_2E1(V0T1_2E0),mono_2Ec_2Erealax_2Ereal__REP_2E1(V1T2_2E0)) ) ).

tff(thm_2Erealax_2Ereal__of__hreal,axiom,
    ! [V0T1_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Erealax_2Ereal__of__hreal_2E1(V0T1_2E0) = mono_2Ec_2Erealax_2Ereal__ABS_2E1(mono_2Ec_2Erealax_2Etreal__of__hreal_2E1(V0T1_2E0)) ) ).

tff(thm_2Erealax_2Ehreal__of__real,axiom,
    ! [V0T1_2E0: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Ehreal__of__real_2E1(V0T1_2E0) = mono_2Ec_2Erealax_2Ehreal__of__treal_2E1(mono_2Ec_2Erealax_2Ereal__REP_2E1(V0T1_2E0)) ) ).

tff(thm_2Erealax_2EHREAL__RDISTRIB,axiom,
    ! [V0x_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1y_2E0: mono_2Etyop_2Ehreal_2Ehreal,V2z_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__mul_2E2(mono_2Ec_2Ehreal_2Ehreal__add_2E2(V0x_2E0,V1y_2E0),V2z_2E0) = mono_2Ec_2Ehreal_2Ehreal__add_2E2(mono_2Ec_2Ehreal_2Ehreal__mul_2E2(V0x_2E0,V2z_2E0),mono_2Ec_2Ehreal_2Ehreal__mul_2E2(V1y_2E0,V2z_2E0)) ) ).

tff(thm_2Erealax_2EHREAL__EQ__ADDR,axiom,
    ! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1Y_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__add_2E2(V0X_2E0,V1Y_2E0) != V0X_2E0 ) ).

tff(thm_2Erealax_2EHREAL__EQ__ADDL,axiom,
    ! [V0x_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1y_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( V0x_2E0 != mono_2Ec_2Ehreal_2Ehreal__add_2E2(V0x_2E0,V1y_2E0) ) ).

tff(thm_2Erealax_2EHREAL__EQ__LADD,axiom,
    ! [V0x_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1y_2E0: mono_2Etyop_2Ehreal_2Ehreal,V2z_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
      ( ( mono_2Ec_2Ehreal_2Ehreal__add_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2Ehreal_2Ehreal__add_2E2(V0x_2E0,V2z_2E0) )
    <=> ( V1y_2E0 = V2z_2E0 ) ) ).

tff(thm_2Erealax_2EHREAL__LT__REFL,axiom,
    ! [V0x_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ~ p(mono_2Ec_2Ehreal_2Ehreal__lt_2E2(V0x_2E0,V0x_2E0)) ).

tff(thm_2Erealax_2EHREAL__LT__ADDL,axiom,
    ! [V0x_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1y_2E0: mono_2Etyop_2Ehreal_2Ehreal] : p(mono_2Ec_2Ehreal_2Ehreal__lt_2E2(V0x_2E0,mono_2Ec_2Ehreal_2Ehreal__add_2E2(V0x_2E0,V1y_2E0))) ).

tff(thm_2Erealax_2EHREAL__LT__NE,axiom,
    ! [V0x_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1y_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
      ( p(mono_2Ec_2Ehreal_2Ehreal__lt_2E2(V0x_2E0,V1y_2E0))
     => ( V0x_2E0 != V1y_2E0 ) ) ).

tff(thm_2Erealax_2EHREAL__LT__ADDR,axiom,
    ! [V0x_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1y_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ~ p(mono_2Ec_2Ehreal_2Ehreal__lt_2E2(mono_2Ec_2Ehreal_2Ehreal__add_2E2(V0x_2E0,V1y_2E0),V0x_2E0)) ).

tff(thm_2Erealax_2EHREAL__LT__GT,axiom,
    ! [V0x_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1y_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
      ( p(mono_2Ec_2Ehreal_2Ehreal__lt_2E2(V0x_2E0,V1y_2E0))
     => ~ p(mono_2Ec_2Ehreal_2Ehreal__lt_2E2(V1y_2E0,V0x_2E0)) ) ).

tff(thm_2Erealax_2EHREAL__LT__ADD2,axiom,
    ! [V0x1_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1x2_2E0: mono_2Etyop_2Ehreal_2Ehreal,V2y1_2E0: mono_2Etyop_2Ehreal_2Ehreal,V3y2_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
      ( ( p(mono_2Ec_2Ehreal_2Ehreal__lt_2E2(V0x1_2E0,V2y1_2E0))
        & p(mono_2Ec_2Ehreal_2Ehreal__lt_2E2(V1x2_2E0,V3y2_2E0)) )
     => p(mono_2Ec_2Ehreal_2Ehreal__lt_2E2(mono_2Ec_2Ehreal_2Ehreal__add_2E2(V0x1_2E0,V1x2_2E0),mono_2Ec_2Ehreal_2Ehreal__add_2E2(V2y1_2E0,V3y2_2E0))) ) ).

tff(thm_2Erealax_2EHREAL__LT__LADD,axiom,
    ! [V0x_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1y_2E0: mono_2Etyop_2Ehreal_2Ehreal,V2z_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__lt_2E2(mono_2Ec_2Ehreal_2Ehreal__add_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Ehreal_2Ehreal__add_2E2(V0x_2E0,V2z_2E0)) = mono_2Ec_2Ehreal_2Ehreal__lt_2E2(V1y_2E0,V2z_2E0) ) ).

tff(thm_2Erealax_2ETREAL__EQ__REFL,axiom,
    ! [V0x_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : p(mono_2Ec_2Erealax_2Etreal__eq_2E2(V0x_2E0,V0x_2E0)) ).

tff(thm_2Erealax_2ETREAL__EQ__SYM,axiom,
    ! [V0x_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1y_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( mono_2Ec_2Erealax_2Etreal__eq_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2Erealax_2Etreal__eq_2E2(V1y_2E0,V0x_2E0) ) ).

tff(thm_2Erealax_2ETREAL__EQ__TRANS,axiom,
    ! [V0x_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1y_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2z_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
      ( ( p(mono_2Ec_2Erealax_2Etreal__eq_2E2(V0x_2E0,V1y_2E0))
        & p(mono_2Ec_2Erealax_2Etreal__eq_2E2(V1y_2E0,V2z_2E0)) )
     => p(mono_2Ec_2Erealax_2Etreal__eq_2E2(V0x_2E0,V2z_2E0)) ) ).

tff(thm_2Erealax_2ETREAL__EQ__EQUIV,axiom,
    ! [V0p_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1q_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
      ( p(mono_2Ec_2Erealax_2Etreal__eq_2E2(V0p_2E0,V1q_2E0))
    <=> ( mono_2Ec_2Erealax_2Etreal__eq_2E1(V0p_2E0) = mono_2Ec_2Erealax_2Etreal__eq_2E1(V1q_2E0) ) ) ).

tff(thm_2Erealax_2ETREAL__EQ__AP,axiom,
    ! [V0p_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1q_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
      ( ( V0p_2E0 = V1q_2E0 )
     => p(mono_2Ec_2Erealax_2Etreal__eq_2E2(V0p_2E0,V1q_2E0)) ) ).

tff(thm_2Erealax_2ETREAL__10,axiom,
    ~ p(mono_2Ec_2Erealax_2Etreal__eq_2E2(mono_2Ec_2Erealax_2Etreal__1_2E0,mono_2Ec_2Erealax_2Etreal__0_2E0)) ).

tff(thm_2Erealax_2ETREAL__ADD__SYM,axiom,
    ! [V0x_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1y_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( mono_2Ec_2Erealax_2Etreal__add_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2Erealax_2Etreal__add_2E2(V1y_2E0,V0x_2E0) ) ).

tff(thm_2Erealax_2ETREAL__MUL__SYM,axiom,
    ! [V0x_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1y_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( mono_2Ec_2Erealax_2Etreal__mul_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2Erealax_2Etreal__mul_2E2(V1y_2E0,V0x_2E0) ) ).

tff(thm_2Erealax_2ETREAL__ADD__ASSOC,axiom,
    ! [V0x_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1y_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2z_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( mono_2Ec_2Erealax_2Etreal__add_2E2(V0x_2E0,mono_2Ec_2Erealax_2Etreal__add_2E2(V1y_2E0,V2z_2E0)) = mono_2Ec_2Erealax_2Etreal__add_2E2(mono_2Ec_2Erealax_2Etreal__add_2E2(V0x_2E0,V1y_2E0),V2z_2E0) ) ).

tff(thm_2Erealax_2ETREAL__MUL__ASSOC,axiom,
    ! [V0x_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1y_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2z_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( mono_2Ec_2Erealax_2Etreal__mul_2E2(V0x_2E0,mono_2Ec_2Erealax_2Etreal__mul_2E2(V1y_2E0,V2z_2E0)) = mono_2Ec_2Erealax_2Etreal__mul_2E2(mono_2Ec_2Erealax_2Etreal__mul_2E2(V0x_2E0,V1y_2E0),V2z_2E0) ) ).

tff(thm_2Erealax_2ETREAL__LDISTRIB,axiom,
    ! [V0x_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1y_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2z_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( mono_2Ec_2Erealax_2Etreal__mul_2E2(V0x_2E0,mono_2Ec_2Erealax_2Etreal__add_2E2(V1y_2E0,V2z_2E0)) = mono_2Ec_2Erealax_2Etreal__add_2E2(mono_2Ec_2Erealax_2Etreal__mul_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Erealax_2Etreal__mul_2E2(V0x_2E0,V2z_2E0)) ) ).

tff(thm_2Erealax_2ETREAL__ADD__LID,axiom,
    ! [V0x_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : p(mono_2Ec_2Erealax_2Etreal__eq_2E2(mono_2Ec_2Erealax_2Etreal__add_2E2(mono_2Ec_2Erealax_2Etreal__0_2E0,V0x_2E0),V0x_2E0)) ).

tff(thm_2Erealax_2ETREAL__MUL__LID,axiom,
    ! [V0x_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : p(mono_2Ec_2Erealax_2Etreal__eq_2E2(mono_2Ec_2Erealax_2Etreal__mul_2E2(mono_2Ec_2Erealax_2Etreal__1_2E0,V0x_2E0),V0x_2E0)) ).

tff(thm_2Erealax_2ETREAL__ADD__LINV,axiom,
    ! [V0x_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : p(mono_2Ec_2Erealax_2Etreal__eq_2E2(mono_2Ec_2Erealax_2Etreal__add_2E2(mono_2Ec_2Erealax_2Etreal__neg_2E1(V0x_2E0),V0x_2E0),mono_2Ec_2Erealax_2Etreal__0_2E0)) ).

tff(thm_2Erealax_2ETREAL__INV__0,axiom,
    p(mono_2Ec_2Erealax_2Etreal__eq_2E2(mono_2Ec_2Erealax_2Etreal__inv_2E1(mono_2Ec_2Erealax_2Etreal__0_2E0),mono_2Ec_2Erealax_2Etreal__0_2E0)) ).

tff(thm_2Erealax_2ETREAL__MUL__LINV,axiom,
    ! [V0x_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
      ( ~ p(mono_2Ec_2Erealax_2Etreal__eq_2E2(V0x_2E0,mono_2Ec_2Erealax_2Etreal__0_2E0))
     => p(mono_2Ec_2Erealax_2Etreal__eq_2E2(mono_2Ec_2Erealax_2Etreal__mul_2E2(mono_2Ec_2Erealax_2Etreal__inv_2E1(V0x_2E0),V0x_2E0),mono_2Ec_2Erealax_2Etreal__1_2E0)) ) ).

tff(thm_2Erealax_2ETREAL__LT__TOTAL,axiom,
    ! [V0x_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1y_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
      ( p(mono_2Ec_2Erealax_2Etreal__eq_2E2(V0x_2E0,V1y_2E0))
      | p(mono_2Ec_2Erealax_2Etreal__lt_2E2(V0x_2E0,V1y_2E0))
      | p(mono_2Ec_2Erealax_2Etreal__lt_2E2(V1y_2E0,V0x_2E0)) ) ).

tff(thm_2Erealax_2ETREAL__LT__REFL,axiom,
    ! [V0x_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ~ p(mono_2Ec_2Erealax_2Etreal__lt_2E2(V0x_2E0,V0x_2E0)) ).

tff(thm_2Erealax_2ETREAL__LT__TRANS,axiom,
    ! [V0x_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1y_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2z_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
      ( ( p(mono_2Ec_2Erealax_2Etreal__lt_2E2(V0x_2E0,V1y_2E0))
        & p(mono_2Ec_2Erealax_2Etreal__lt_2E2(V1y_2E0,V2z_2E0)) )
     => p(mono_2Ec_2Erealax_2Etreal__lt_2E2(V0x_2E0,V2z_2E0)) ) ).

tff(thm_2Erealax_2ETREAL__LT__ADD,axiom,
    ! [V0x_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1y_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2z_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
      ( p(mono_2Ec_2Erealax_2Etreal__lt_2E2(V1y_2E0,V2z_2E0))
     => p(mono_2Ec_2Erealax_2Etreal__lt_2E2(mono_2Ec_2Erealax_2Etreal__add_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Erealax_2Etreal__add_2E2(V0x_2E0,V2z_2E0))) ) ).

tff(thm_2Erealax_2ETREAL__LT__MUL,axiom,
    ! [V0x_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1y_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
      ( ( p(mono_2Ec_2Erealax_2Etreal__lt_2E2(mono_2Ec_2Erealax_2Etreal__0_2E0,V0x_2E0))
        & p(mono_2Ec_2Erealax_2Etreal__lt_2E2(mono_2Ec_2Erealax_2Etreal__0_2E0,V1y_2E0)) )
     => p(mono_2Ec_2Erealax_2Etreal__lt_2E2(mono_2Ec_2Erealax_2Etreal__0_2E0,mono_2Ec_2Erealax_2Etreal__mul_2E2(V0x_2E0,V1y_2E0))) ) ).

tff(thm_2Erealax_2ETREAL__BIJ,axiom,
    ( ! [V0h_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Erealax_2Ehreal__of__treal_2E1(mono_2Ec_2Erealax_2Etreal__of__hreal_2E1(V0h_2E0)) = V0h_2E0 )
    & ! [V1r_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] : ( mono_2Ec_2Erealax_2Etreal__lt_2E2(mono_2Ec_2Erealax_2Etreal__0_2E0,V1r_2E0) = mono_2Ec_2Erealax_2Etreal__eq_2E2(mono_2Ec_2Erealax_2Etreal__of__hreal_2E1(mono_2Ec_2Erealax_2Ehreal__of__treal_2E1(V1r_2E0)),V1r_2E0) ) ) ).

tff(thm_2Erealax_2ETREAL__ISO,axiom,
    ! [V0h_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1i_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
      ( p(mono_2Ec_2Ehreal_2Ehreal__lt_2E2(V0h_2E0,V1i_2E0))
     => p(mono_2Ec_2Erealax_2Etreal__lt_2E2(mono_2Ec_2Erealax_2Etreal__of__hreal_2E1(V0h_2E0),mono_2Ec_2Erealax_2Etreal__of__hreal_2E1(V1i_2E0))) ) ).

tff(thm_2Erealax_2ETREAL__BIJ__WELLDEF,axiom,
    ! [V0h_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1i_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
      ( p(mono_2Ec_2Erealax_2Etreal__eq_2E2(V0h_2E0,V1i_2E0))
     => ( mono_2Ec_2Erealax_2Ehreal__of__treal_2E1(V0h_2E0) = mono_2Ec_2Erealax_2Ehreal__of__treal_2E1(V1i_2E0) ) ) ).

tff(thm_2Erealax_2ETREAL__NEG__WELLDEF,axiom,
    ! [V0x1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1x2_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
      ( p(mono_2Ec_2Erealax_2Etreal__eq_2E2(V0x1_2E0,V1x2_2E0))
     => p(mono_2Ec_2Erealax_2Etreal__eq_2E2(mono_2Ec_2Erealax_2Etreal__neg_2E1(V0x1_2E0),mono_2Ec_2Erealax_2Etreal__neg_2E1(V1x2_2E0))) ) ).

tff(thm_2Erealax_2ETREAL__ADD__WELLDEFR,axiom,
    ! [V0x1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1x2_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2y_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
      ( p(mono_2Ec_2Erealax_2Etreal__eq_2E2(V0x1_2E0,V1x2_2E0))
     => p(mono_2Ec_2Erealax_2Etreal__eq_2E2(mono_2Ec_2Erealax_2Etreal__add_2E2(V0x1_2E0,V2y_2E0),mono_2Ec_2Erealax_2Etreal__add_2E2(V1x2_2E0,V2y_2E0))) ) ).

tff(thm_2Erealax_2ETREAL__ADD__WELLDEF,axiom,
    ! [V0x1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1x2_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2y1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V3y2_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
      ( ( p(mono_2Ec_2Erealax_2Etreal__eq_2E2(V0x1_2E0,V1x2_2E0))
        & p(mono_2Ec_2Erealax_2Etreal__eq_2E2(V2y1_2E0,V3y2_2E0)) )
     => p(mono_2Ec_2Erealax_2Etreal__eq_2E2(mono_2Ec_2Erealax_2Etreal__add_2E2(V0x1_2E0,V2y1_2E0),mono_2Ec_2Erealax_2Etreal__add_2E2(V1x2_2E0,V3y2_2E0))) ) ).

tff(thm_2Erealax_2ETREAL__MUL__WELLDEFR,axiom,
    ! [V0x1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1x2_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2y_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
      ( p(mono_2Ec_2Erealax_2Etreal__eq_2E2(V0x1_2E0,V1x2_2E0))
     => p(mono_2Ec_2Erealax_2Etreal__eq_2E2(mono_2Ec_2Erealax_2Etreal__mul_2E2(V0x1_2E0,V2y_2E0),mono_2Ec_2Erealax_2Etreal__mul_2E2(V1x2_2E0,V2y_2E0))) ) ).

tff(thm_2Erealax_2ETREAL__MUL__WELLDEF,axiom,
    ! [V0x1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1x2_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2y1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V3y2_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
      ( ( p(mono_2Ec_2Erealax_2Etreal__eq_2E2(V0x1_2E0,V1x2_2E0))
        & p(mono_2Ec_2Erealax_2Etreal__eq_2E2(V2y1_2E0,V3y2_2E0)) )
     => p(mono_2Ec_2Erealax_2Etreal__eq_2E2(mono_2Ec_2Erealax_2Etreal__mul_2E2(V0x1_2E0,V2y1_2E0),mono_2Ec_2Erealax_2Etreal__mul_2E2(V1x2_2E0,V3y2_2E0))) ) ).

tff(thm_2Erealax_2ETREAL__LT__WELLDEFR,axiom,
    ! [V0x1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1x2_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2y_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
      ( p(mono_2Ec_2Erealax_2Etreal__eq_2E2(V0x1_2E0,V1x2_2E0))
     => ( mono_2Ec_2Erealax_2Etreal__lt_2E2(V0x1_2E0,V2y_2E0) = mono_2Ec_2Erealax_2Etreal__lt_2E2(V1x2_2E0,V2y_2E0) ) ) ).

tff(thm_2Erealax_2ETREAL__LT__WELLDEFL,axiom,
    ! [V0x_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1y1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2y2_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
      ( p(mono_2Ec_2Erealax_2Etreal__eq_2E2(V1y1_2E0,V2y2_2E0))
     => ( mono_2Ec_2Erealax_2Etreal__lt_2E2(V0x_2E0,V1y1_2E0) = mono_2Ec_2Erealax_2Etreal__lt_2E2(V0x_2E0,V2y2_2E0) ) ) ).

tff(thm_2Erealax_2ETREAL__LT__WELLDEF,axiom,
    ! [V0x1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1x2_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V2y1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V3y2_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
      ( ( p(mono_2Ec_2Erealax_2Etreal__eq_2E2(V0x1_2E0,V1x2_2E0))
        & p(mono_2Ec_2Erealax_2Etreal__eq_2E2(V2y1_2E0,V3y2_2E0)) )
     => ( mono_2Ec_2Erealax_2Etreal__lt_2E2(V0x1_2E0,V2y1_2E0) = mono_2Ec_2Erealax_2Etreal__lt_2E2(V1x2_2E0,V3y2_2E0) ) ) ).

tff(thm_2Erealax_2ETREAL__INV__WELLDEF,axiom,
    ! [V0x1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29,V1x2_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
      ( p(mono_2Ec_2Erealax_2Etreal__eq_2E2(V0x1_2E0,V1x2_2E0))
     => p(mono_2Ec_2Erealax_2Etreal__eq_2E2(mono_2Ec_2Erealax_2Etreal__inv_2E1(V0x1_2E0),mono_2Ec_2Erealax_2Etreal__inv_2E1(V1x2_2E0))) ) ).

tff(thm_2Erealax_2Ereal__ABS__REP__CLASS,axiom,
    ( ! [V0a_2E0: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Ereal__ABS__CLASS_2E1(mono_2Ec_2Erealax_2Ereal__REP__CLASS_2E1(V0a_2E0)) = V0a_2E0 )
    & ! [V1c_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_2Ctyop_2Emin_2Ebool_29] :
        ( ? [V2r_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29] :
            ( p(mono_2Ec_2Erealax_2Etreal__eq_2E2(V2r_2E0,V2r_2E0))
            & ( V1c_2E0 = mono_2Ec_2Erealax_2Etreal__eq_2E1(V2r_2E0) ) )
      <=> ( mono_2Ec_2Erealax_2Ereal__REP__CLASS_2E1(mono_2Ec_2Erealax_2Ereal__ABS__CLASS_2E1(V1c_2E0)) = V1c_2E0 ) ) ) ).

tff(thm_2Erealax_2Ereal__QUOTIENT,axiom,
    p(mono_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ehreal_2Ehreal_2Ctyop_2Ehreal_2Ehreal_29_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Etreal__eq_2E0,mono_2Ec_2Erealax_2Ereal__ABS_2E0,mono_2Ec_2Erealax_2Ereal__REP_2E0)) ).

tff(thm_2Erealax_2EREAL__ISO__EQ,axiom,
    ! [V0h_2E0: mono_2Etyop_2Ehreal_2Ehreal,V1i_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Ec_2Ehreal_2Ehreal__lt_2E2(V0h_2E0,V1i_2E0) = mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Erealax_2Ereal__of__hreal_2E1(V0h_2E0),mono_2Ec_2Erealax_2Ereal__of__hreal_2E1(V1i_2E0)) ) ).

tff(thm_2Erealax_2EREAL__POS,axiom,
    ! [V0X_2E0: mono_2Etyop_2Ehreal_2Ehreal] : p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Erealax_2Ereal__0_2E0,mono_2Ec_2Erealax_2Ereal__of__hreal_2E1(V0X_2E0))) ).

tff(thm_2Erealax_2ESUP__ALLPOS__LEMMA1,axiom,
    ! [V0P_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,V1y_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( ! [V2x_2E0: mono_2Etyop_2Erealax_2Ereal] :
          ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,V2x_2E0))
         => p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Erealax_2Ereal__0_2E0,V2x_2E0)) )
     => ( ? [V3x_2E0: mono_2Etyop_2Erealax_2Ereal] :
            ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,V3x_2E0))
            & p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V1y_2E0,V3x_2E0)) )
      <=> ? [V4X_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
            ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,mono_2Ec_2Erealax_2Ereal__of__hreal_2E1(V4X_2E0)))
            & p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V1y_2E0,mono_2Ec_2Erealax_2Ereal__of__hreal_2E1(V4X_2E0))) ) ) ) ).

tff(thm_2Erealax_2ESUP__ALLPOS__LEMMA2,axiom,
    ! [V0P_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,V1X_2E0: mono_2Etyop_2Ehreal_2Ehreal] : ( mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,mono_2Ec_2Erealax_2Ereal__of__hreal_2E1(V1X_2E0)) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,mono_2Ec_2Erealax_2Ereal__of__hreal_2E1(V1X_2E0)) ) ).

tff(thm_2Erealax_2ESUP__ALLPOS__LEMMA3,axiom,
    ! [V0P_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29] :
      ( ( ! [V1x_2E0: mono_2Etyop_2Erealax_2Ereal] :
            ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,V1x_2E0))
           => p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Erealax_2Ereal__0_2E0,V1x_2E0)) )
        & ? [V2x_2E0: mono_2Etyop_2Erealax_2Ereal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,V2x_2E0))
        & ? [V3z_2E0: mono_2Etyop_2Erealax_2Ereal] :
          ! [V4x_2E0: mono_2Etyop_2Erealax_2Ereal] :
            ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,V4x_2E0))
           => p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V4x_2E0,V3z_2E0)) ) )
     => ( ? [V5X_2E0: mono_2Etyop_2Ehreal_2Ehreal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,mono_2Ec_2Erealax_2Ereal__of__hreal_2E1(V5X_2E0)))
        & ? [V6Y_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
          ! [V7X_2E0: mono_2Etyop_2Ehreal_2Ehreal] :
            ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,mono_2Ec_2Erealax_2Ereal__of__hreal_2E1(V7X_2E0)))
           => p(mono_2Ec_2Ehreal_2Ehreal__lt_2E2(V7X_2E0,V6Y_2E0)) ) ) ) ).

tff(thm_2Erealax_2ESUP__ALLPOS__LEMMA4,axiom,
    ! [V0y_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( ~ p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Erealax_2Ereal__0_2E0,V0y_2E0))
     => ! [V1x_2E0: mono_2Etyop_2Ehreal_2Ehreal] : p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V0y_2E0,mono_2Ec_2Erealax_2Ereal__of__hreal_2E1(V1x_2E0))) ) ).

tff(thm_2Erealax_2EREAL__SUP__ALLPOS,axiom,
    ! [V0P_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29] :
      ( ( ! [V1x_2E0: mono_2Etyop_2Erealax_2Ereal] :
            ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,V1x_2E0))
           => p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Erealax_2Ereal__0_2E0,V1x_2E0)) )
        & ? [V2x_2E0: mono_2Etyop_2Erealax_2Ereal] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,V2x_2E0))
        & ? [V3z_2E0: mono_2Etyop_2Erealax_2Ereal] :
          ! [V4x_2E0: mono_2Etyop_2Erealax_2Ereal] :
            ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,V4x_2E0))
           => p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V4x_2E0,V3z_2E0)) ) )
     => ? [V5s_2E0: mono_2Etyop_2Erealax_2Ereal] :
        ! [V6y_2E0: mono_2Etyop_2Erealax_2Ereal] :
          ( ? [V7x_2E0: mono_2Etyop_2Erealax_2Ereal] :
              ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,V7x_2E0))
              & p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V6y_2E0,V7x_2E0)) )
        <=> p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V6y_2E0,V5s_2E0)) ) ) ).

tff(thm_2Erealax_2EREAL__10,axiom,
    mono_2Ec_2Erealax_2Ereal__1_2E0 != mono_2Ec_2Erealax_2Ereal__0_2E0 ).

tff(thm_2Erealax_2EREAL__ADD__SYM,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Ereal__add_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2Erealax_2Ereal__add_2E2(V1y_2E0,V0x_2E0) ) ).

tff(thm_2Erealax_2EREAL__MUL__SYM,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Ereal__mul_2E2(V0x_2E0,V1y_2E0) = mono_2Ec_2Erealax_2Ereal__mul_2E2(V1y_2E0,V0x_2E0) ) ).

tff(thm_2Erealax_2EREAL__ADD__ASSOC,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Erealax_2Ereal,V2z_2E0: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Ereal__add_2E2(V0x_2E0,mono_2Ec_2Erealax_2Ereal__add_2E2(V1y_2E0,V2z_2E0)) = mono_2Ec_2Erealax_2Ereal__add_2E2(mono_2Ec_2Erealax_2Ereal__add_2E2(V0x_2E0,V1y_2E0),V2z_2E0) ) ).

tff(thm_2Erealax_2EREAL__MUL__ASSOC,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Erealax_2Ereal,V2z_2E0: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Ereal__mul_2E2(V0x_2E0,mono_2Ec_2Erealax_2Ereal__mul_2E2(V1y_2E0,V2z_2E0)) = mono_2Ec_2Erealax_2Ereal__mul_2E2(mono_2Ec_2Erealax_2Ereal__mul_2E2(V0x_2E0,V1y_2E0),V2z_2E0) ) ).

tff(thm_2Erealax_2EREAL__LDISTRIB,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Erealax_2Ereal,V2z_2E0: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Ereal__mul_2E2(V0x_2E0,mono_2Ec_2Erealax_2Ereal__add_2E2(V1y_2E0,V2z_2E0)) = mono_2Ec_2Erealax_2Ereal__add_2E2(mono_2Ec_2Erealax_2Ereal__mul_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Erealax_2Ereal__mul_2E2(V0x_2E0,V2z_2E0)) ) ).

tff(thm_2Erealax_2EREAL__ADD__LID,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Ereal__add_2E2(mono_2Ec_2Erealax_2Ereal__0_2E0,V0x_2E0) = V0x_2E0 ) ).

tff(thm_2Erealax_2EREAL__MUL__LID,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Ereal__mul_2E2(mono_2Ec_2Erealax_2Ereal__1_2E0,V0x_2E0) = V0x_2E0 ) ).

tff(thm_2Erealax_2EREAL__ADD__LINV,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Ereal__add_2E2(mono_2Ec_2Erealax_2Ereal__neg_2E1(V0x_2E0),V0x_2E0) = mono_2Ec_2Erealax_2Ereal__0_2E0 ) ).

tff(thm_2Erealax_2EREAL__MUL__LINV,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( ( V0x_2E0 != mono_2Ec_2Erealax_2Ereal__0_2E0 )
     => ( mono_2Ec_2Erealax_2Ereal__mul_2E2(mono_2Ec_2Erealax_2Einv_2E1(V0x_2E0),V0x_2E0) = mono_2Ec_2Erealax_2Ereal__1_2E0 ) ) ).

tff(thm_2Erealax_2EREAL__LT__TOTAL,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( ( V0x_2E0 = V1y_2E0 )
      | p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V0x_2E0,V1y_2E0))
      | p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V1y_2E0,V0x_2E0)) ) ).

tff(thm_2Erealax_2EREAL__LT__REFL,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal] : ~ p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V0x_2E0,V0x_2E0)) ).

tff(thm_2Erealax_2EREAL__LT__TRANS,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(V0x_2E0,V1y_2E0))
        & p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V1y_2E0,V2z_2E0)) )
     => p(mono_2Ec_2Erealax_2Ereal__lt_2E2(V0x_2E0,V2z_2E0)) ) ).

tff(thm_2Erealax_2EREAL__LT__IADD,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(V1y_2E0,V2z_2E0))
     => p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Erealax_2Ereal__add_2E2(V0x_2E0,V1y_2E0),mono_2Ec_2Erealax_2Ereal__add_2E2(V0x_2E0,V2z_2E0))) ) ).

tff(thm_2Erealax_2EREAL__LT__MUL,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erealax_2Ereal,V1y_2E0: mono_2Etyop_2Erealax_2Ereal] :
      ( ( p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Erealax_2Ereal__0_2E0,V0x_2E0))
        & p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Erealax_2Ereal__0_2E0,V1y_2E0)) )
     => p(mono_2Ec_2Erealax_2Ereal__lt_2E2(mono_2Ec_2Erealax_2Ereal__0_2E0,mono_2Ec_2Erealax_2Ereal__mul_2E2(V0x_2E0,V1y_2E0))) ) ).

tff(thm_2Erealax_2EREAL__INV__0,axiom,
    mono_2Ec_2Erealax_2Einv_2E1(mono_2Ec_2Erealax_2Ereal__0_2E0) = mono_2Ec_2Erealax_2Ereal__0_2E0 ).

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