%------------------------------------------------------------------------------
% File     : ITP126_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    : rat.ax [Gau19]
%          : HL4126_4.ax [TPAP]

% Status   : Satisfiable
% Syntax   : Number of formulae    : 1098 ( 398 unt; 558 typ;   0 def)
%            Number of atoms       :  798 ( 633 equ)
%            Maximal formula atoms :   10 (   0 avg)
%            Number of connectives :  307 (  49   ~;  17   |;  82   &)
%                                         (  78 <=>;  81  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of types       :   63 (  62 usr)
%            Number of type conns  :  467 ( 327   >; 140   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   0 prp; 1-2 aty)
%            Number of functors    :  495 ( 495 usr; 169 con; 0-3 aty)
%            Number of variables   :  906 ( 896   !;  10   ?; 906   :)
% 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_2Efrac_2Efrac,type,
    mono_2Etyop_2Efrac_2Efrac: $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_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29: $tType ).

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

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29: $tType ).

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

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

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29: $tType ).

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

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29: $tType ).

tff(mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29: $tType ).

tff(mono_2Etyop_2Einteger_2Eint,type,
    mono_2Etyop_2Einteger_2Eint: $tType ).

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

tff(mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,type,
    mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: $tType ).

tff(mono_2Etyop_2Erat_2Erat,type,
    mono_2Etyop_2Erat_2Erat: $tType ).

tff(tyop_2Efrac_2Efrac,type,
    tyop_2Efrac_2Efrac: d ).

tff(tyop_2Einteger_2Eint,type,
    tyop_2Einteger_2Eint: d ).

tff(tyop_2Emin_2Ebool,type,
    tyop_2Emin_2Ebool: d ).

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

tff(tyop_2Enum_2Enum,type,
    tyop_2Enum_2Enum: d ).

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

tff(tyop_2Erat_2Erat,type,
    tyop_2Erat_2Erat: d ).

tff(s,type,
    s: ( d * u ) > du ).

tff(app_2E2,type,
    app_2E2: ( du * du ) > u ).

tff(p,type,
    p: mono_2Etyop_2Emin_2Ebool > $o ).

tff(combin_i_2E0,type,
    combin_i_2E0: u ).

tff(combin_k_2E0,type,
    combin_k_2E0: u ).

tff(combin_s_2E0,type,
    combin_s_2E0: u ).

tff(c_2Ebool_2E_21_2E0,type,
    c_2Ebool_2E_21_2E0: u ).

tff(c_2Ebool_2E_21_2E1,type,
    c_2Ebool_2E_21_2E1: du > u ).

tff(c_2Earithmetic_2E_2A_2E0,type,
    c_2Earithmetic_2E_2A_2E0: u ).

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

tff(c_2Earithmetic_2E_2B_2E0,type,
    c_2Earithmetic_2E_2B_2E0: u ).

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

tff(c_2Epair_2E_2C_2E0,type,
    c_2Epair_2E_2C_2E0: u ).

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

tff(c_2Earithmetic_2E_2D_2E0,type,
    c_2Earithmetic_2E_2D_2E0: u ).

tff(c_2Earithmetic_2E_2D_2E2,type,
    c_2Earithmetic_2E_2D_2E2: ( du * du ) > u ).

tff(c_2Ebool_2E_2F_5C_2E0,type,
    c_2Ebool_2E_2F_5C_2E0: u ).

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

tff(c_2Enum_2E0_2E0,type,
    c_2Enum_2E0_2E0: u ).

tff(c_2Eprim__rec_2E_3C_2E0,type,
    c_2Eprim__rec_2E_3C_2E0: u ).

tff(c_2Eprim__rec_2E_3C_2E2,type,
    c_2Eprim__rec_2E_3C_2E2: ( du * du ) > u ).

tff(c_2Earithmetic_2E_3C_3D_2E0,type,
    c_2Earithmetic_2E_3C_3D_2E0: u ).

tff(c_2Earithmetic_2E_3C_3D_2E2,type,
    c_2Earithmetic_2E_3C_3D_2E2: ( du * du ) > u ).

tff(c_2Emin_2E_3D_2E0,type,
    c_2Emin_2E_3D_2E0: u ).

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

tff(c_2Emin_2E_3D_3D_3E_2E0,type,
    c_2Emin_2E_3D_3D_3E_2E0: u ).

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

tff(c_2Ebool_2E_3F_2E0,type,
    c_2Ebool_2E_3F_2E0: u ).

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

tff(c_2Emin_2E_40_2E0,type,
    c_2Emin_2E_40_2E0: u ).

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

tff(c_2Einteger_2EABS_2E0,type,
    c_2Einteger_2EABS_2E0: u ).

tff(c_2Einteger_2EABS_2E1,type,
    c_2Einteger_2EABS_2E1: du > u ).

tff(c_2Earithmetic_2EBIT1_2E0,type,
    c_2Earithmetic_2EBIT1_2E0: u ).

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

tff(c_2Earithmetic_2EBIT2_2E0,type,
    c_2Earithmetic_2EBIT2_2E0: u ).

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

tff(c_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_2Ecombin_2EI_2E0,type,
    c_2Ecombin_2EI_2E0: u ).

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

tff(c_2Earithmetic_2ENUMERAL_2E0,type,
    c_2Earithmetic_2ENUMERAL_2E0: u ).

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

tff(c_2Einteger_2ENum_2E0,type,
    c_2Einteger_2ENum_2E0: u ).

tff(c_2Einteger_2ENum_2E1,type,
    c_2Einteger_2ENum_2E1: du > u ).

tff(c_2Ebool_2EONE__ONE_2E0,type,
    c_2Ebool_2EONE__ONE_2E0: u ).

tff(c_2Ebool_2EONE__ONE_2E1,type,
    c_2Ebool_2EONE__ONE_2E1: du > 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_2Erat_2ERATD_2E0,type,
    c_2Erat_2ERATD_2E0: u ).

tff(c_2Erat_2ERATD_2E1,type,
    c_2Erat_2ERATD_2E1: du > u ).

tff(c_2Erat_2ERATN_2E0,type,
    c_2Erat_2ERATN_2E0: u ).

tff(c_2Erat_2ERATN_2E1,type,
    c_2Erat_2ERATN_2E1: du > u ).

tff(c_2EintExtension_2ESGN_2E0,type,
    c_2EintExtension_2ESGN_2E0: u ).

tff(c_2EintExtension_2ESGN_2E1,type,
    c_2EintExtension_2ESGN_2E1: du > u ).

tff(c_2Enum_2ESUC_2E0,type,
    c_2Enum_2ESUC_2E0: u ).

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

tff(c_2Ebool_2ET_2E0,type,
    c_2Ebool_2ET_2E0: u ).

tff(c_2Ebool_2ETYPE__DEFINITION_2E0,type,
    c_2Ebool_2ETYPE__DEFINITION_2E0: u ).

tff(c_2Ebool_2ETYPE__DEFINITION_2E2,type,
    c_2Ebool_2ETYPE__DEFINITION_2E2: ( du * du ) > u ).

tff(c_2Erelation_2EWF_2E0,type,
    c_2Erelation_2EWF_2E0: u ).

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

tff(c_2Erelation_2EWFREC_2E0,type,
    c_2Erelation_2EWFREC_2E0: u ).

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

tff(c_2Earithmetic_2EZERO_2E0,type,
    c_2Earithmetic_2EZERO_2E0: u ).

tff(c_2Ebool_2E_5C_2F_2E0,type,
    c_2Ebool_2E_5C_2F_2E0: u ).

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

tff(c_2Efrac_2Eabs__frac_2E0,type,
    c_2Efrac_2Eabs__frac_2E0: u ).

tff(c_2Efrac_2Eabs__frac_2E1,type,
    c_2Efrac_2Eabs__frac_2E1: du > u ).

tff(c_2Erat_2Eabs__rat_2E0,type,
    c_2Erat_2Eabs__rat_2E0: u ).

tff(c_2Erat_2Eabs__rat_2E1,type,
    c_2Erat_2Eabs__rat_2E1: du > u ).

tff(c_2Erat_2Eabs__rat__CLASS_2E0,type,
    c_2Erat_2Eabs__rat__CLASS_2E0: u ).

tff(c_2Erat_2Eabs__rat__CLASS_2E1,type,
    c_2Erat_2Eabs__rat__CLASS_2E1: du > u ).

tff(c_2Efrac_2Efrac__0_2E0,type,
    c_2Efrac_2Efrac__0_2E0: u ).

tff(c_2Efrac_2Efrac__1_2E0,type,
    c_2Efrac_2Efrac__1_2E0: u ).

tff(c_2Efrac_2Efrac__add_2E0,type,
    c_2Efrac_2Efrac__add_2E0: u ).

tff(c_2Efrac_2Efrac__add_2E2,type,
    c_2Efrac_2Efrac__add_2E2: ( du * du ) > u ).

tff(c_2Efrac_2Efrac__ainv_2E0,type,
    c_2Efrac_2Efrac__ainv_2E0: u ).

tff(c_2Efrac_2Efrac__ainv_2E1,type,
    c_2Efrac_2Efrac__ainv_2E1: du > u ).

tff(c_2Efrac_2Efrac__div_2E0,type,
    c_2Efrac_2Efrac__div_2E0: u ).

tff(c_2Efrac_2Efrac__div_2E2,type,
    c_2Efrac_2Efrac__div_2E2: ( du * du ) > u ).

tff(c_2Efrac_2Efrac__dnm_2E0,type,
    c_2Efrac_2Efrac__dnm_2E0: u ).

tff(c_2Efrac_2Efrac__dnm_2E1,type,
    c_2Efrac_2Efrac__dnm_2E1: du > u ).

tff(c_2Efrac_2Efrac__minv_2E0,type,
    c_2Efrac_2Efrac__minv_2E0: u ).

tff(c_2Efrac_2Efrac__minv_2E1,type,
    c_2Efrac_2Efrac__minv_2E1: du > u ).

tff(c_2Efrac_2Efrac__mul_2E0,type,
    c_2Efrac_2Efrac__mul_2E0: u ).

tff(c_2Efrac_2Efrac__mul_2E2,type,
    c_2Efrac_2Efrac__mul_2E2: ( du * du ) > u ).

tff(c_2Efrac_2Efrac__nmr_2E0,type,
    c_2Efrac_2Efrac__nmr_2E0: u ).

tff(c_2Efrac_2Efrac__nmr_2E1,type,
    c_2Efrac_2Efrac__nmr_2E1: du > u ).

tff(c_2Efrac_2Efrac__save_2E0,type,
    c_2Efrac_2Efrac__save_2E0: u ).

tff(c_2Efrac_2Efrac__save_2E2,type,
    c_2Efrac_2Efrac__save_2E2: ( du * du ) > u ).

tff(c_2Efrac_2Efrac__sgn_2E0,type,
    c_2Efrac_2Efrac__sgn_2E0: u ).

tff(c_2Efrac_2Efrac__sgn_2E1,type,
    c_2Efrac_2Efrac__sgn_2E1: du > u ).

tff(c_2Efrac_2Efrac__sub_2E0,type,
    c_2Efrac_2Efrac__sub_2E0: u ).

tff(c_2Efrac_2Efrac__sub_2E2,type,
    c_2Efrac_2Efrac__sub_2E2: ( du * du ) > u ).

tff(c_2Einteger_2Eint__add_2E0,type,
    c_2Einteger_2Eint__add_2E0: u ).

tff(c_2Einteger_2Eint__add_2E2,type,
    c_2Einteger_2Eint__add_2E2: ( du * du ) > u ).

tff(c_2Einteger_2Eint__gt_2E0,type,
    c_2Einteger_2Eint__gt_2E0: u ).

tff(c_2Einteger_2Eint__gt_2E2,type,
    c_2Einteger_2Eint__gt_2E2: ( du * du ) > u ).

tff(c_2Einteger_2Eint__le_2E0,type,
    c_2Einteger_2Eint__le_2E0: u ).

tff(c_2Einteger_2Eint__le_2E2,type,
    c_2Einteger_2Eint__le_2E2: ( du * du ) > u ).

tff(c_2Einteger_2Eint__lt_2E0,type,
    c_2Einteger_2Eint__lt_2E0: u ).

tff(c_2Einteger_2Eint__lt_2E2,type,
    c_2Einteger_2Eint__lt_2E2: ( du * du ) > u ).

tff(c_2Einteger_2Eint__mul_2E0,type,
    c_2Einteger_2Eint__mul_2E0: u ).

tff(c_2Einteger_2Eint__mul_2E2,type,
    c_2Einteger_2Eint__mul_2E2: ( du * du ) > u ).

tff(c_2Einteger_2Eint__neg_2E0,type,
    c_2Einteger_2Eint__neg_2E0: u ).

tff(c_2Einteger_2Eint__neg_2E1,type,
    c_2Einteger_2Eint__neg_2E1: du > u ).

tff(c_2Einteger_2Eint__of__num_2E0,type,
    c_2Einteger_2Eint__of__num_2E0: u ).

tff(c_2Einteger_2Eint__of__num_2E1,type,
    c_2Einteger_2Eint__of__num_2E1: du > u ).

tff(c_2Einteger_2Eint__sub_2E0,type,
    c_2Einteger_2Eint__sub_2E0: u ).

tff(c_2Einteger_2Eint__sub_2E2,type,
    c_2Einteger_2Eint__sub_2E2: ( du * du ) > u ).

tff(c_2Earithmetic_2Enum__CASE_2E0,type,
    c_2Earithmetic_2Enum__CASE_2E0: u ).

tff(c_2Earithmetic_2Enum__CASE_2E3,type,
    c_2Earithmetic_2Enum__CASE_2E3: ( du * du * du ) > u ).

tff(c_2Erat_2Erat__0_2E0,type,
    c_2Erat_2Erat__0_2E0: u ).

tff(c_2Erat_2Erat__1_2E0,type,
    c_2Erat_2Erat__1_2E0: u ).

tff(c_2Erat_2Erat__add_2E0,type,
    c_2Erat_2Erat__add_2E0: u ).

tff(c_2Erat_2Erat__add_2E1,type,
    c_2Erat_2Erat__add_2E1: du > u ).

tff(c_2Erat_2Erat__add_2E2,type,
    c_2Erat_2Erat__add_2E2: ( du * du ) > u ).

tff(c_2Erat_2Erat__ainv_2E0,type,
    c_2Erat_2Erat__ainv_2E0: u ).

tff(c_2Erat_2Erat__ainv_2E1,type,
    c_2Erat_2Erat__ainv_2E1: du > u ).

tff(c_2Erat_2Erat__cons_2E0,type,
    c_2Erat_2Erat__cons_2E0: u ).

tff(c_2Erat_2Erat__cons_2E2,type,
    c_2Erat_2Erat__cons_2E2: ( du * du ) > u ).

tff(c_2Erat_2Erat__div_2E0,type,
    c_2Erat_2Erat__div_2E0: u ).

tff(c_2Erat_2Erat__div_2E2,type,
    c_2Erat_2Erat__div_2E2: ( du * du ) > u ).

tff(c_2Erat_2Erat__dnm_2E0,type,
    c_2Erat_2Erat__dnm_2E0: u ).

tff(c_2Erat_2Erat__dnm_2E1,type,
    c_2Erat_2Erat__dnm_2E1: du > u ).

tff(c_2Erat_2Erat__equiv_2E0,type,
    c_2Erat_2Erat__equiv_2E0: u ).

tff(c_2Erat_2Erat__equiv_2E1,type,
    c_2Erat_2Erat__equiv_2E1: du > u ).

tff(c_2Erat_2Erat__equiv_2E2,type,
    c_2Erat_2Erat__equiv_2E2: ( du * du ) > u ).

tff(c_2Erat_2Erat__geq_2E0,type,
    c_2Erat_2Erat__geq_2E0: u ).

tff(c_2Erat_2Erat__geq_2E2,type,
    c_2Erat_2Erat__geq_2E2: ( du * du ) > u ).

tff(c_2Erat_2Erat__gre_2E0,type,
    c_2Erat_2Erat__gre_2E0: u ).

tff(c_2Erat_2Erat__gre_2E2,type,
    c_2Erat_2Erat__gre_2E2: ( du * du ) > u ).

tff(c_2Erat_2Erat__leq_2E0,type,
    c_2Erat_2Erat__leq_2E0: u ).

tff(c_2Erat_2Erat__leq_2E2,type,
    c_2Erat_2Erat__leq_2E2: ( du * du ) > u ).

tff(c_2Erat_2Erat__les_2E0,type,
    c_2Erat_2Erat__les_2E0: u ).

tff(c_2Erat_2Erat__les_2E2,type,
    c_2Erat_2Erat__les_2E2: ( du * du ) > u ).

tff(c_2Erat_2Erat__max_2E0,type,
    c_2Erat_2Erat__max_2E0: u ).

tff(c_2Erat_2Erat__max_2E2,type,
    c_2Erat_2Erat__max_2E2: ( du * du ) > u ).

tff(c_2Erat_2Erat__min_2E0,type,
    c_2Erat_2Erat__min_2E0: u ).

tff(c_2Erat_2Erat__min_2E2,type,
    c_2Erat_2Erat__min_2E2: ( du * du ) > u ).

tff(c_2Erat_2Erat__minv_2E0,type,
    c_2Erat_2Erat__minv_2E0: u ).

tff(c_2Erat_2Erat__minv_2E1,type,
    c_2Erat_2Erat__minv_2E1: du > u ).

tff(c_2Erat_2Erat__mul_2E0,type,
    c_2Erat_2Erat__mul_2E0: u ).

tff(c_2Erat_2Erat__mul_2E1,type,
    c_2Erat_2Erat__mul_2E1: du > u ).

tff(c_2Erat_2Erat__mul_2E2,type,
    c_2Erat_2Erat__mul_2E2: ( du * du ) > u ).

tff(c_2Erat_2Erat__nmr_2E0,type,
    c_2Erat_2Erat__nmr_2E0: u ).

tff(c_2Erat_2Erat__nmr_2E1,type,
    c_2Erat_2Erat__nmr_2E1: du > u ).

tff(c_2Erat_2Erat__of__int_2E0,type,
    c_2Erat_2Erat__of__int_2E0: u ).

tff(c_2Erat_2Erat__of__int_2E1,type,
    c_2Erat_2Erat__of__int_2E1: du > u ).

tff(c_2Erat_2Erat__of__num_2E0,type,
    c_2Erat_2Erat__of__num_2E0: u ).

tff(c_2Erat_2Erat__of__num_2E1,type,
    c_2Erat_2Erat__of__num_2E1: du > u ).

tff(c_2Erat_2Erat__sgn_2E0,type,
    c_2Erat_2Erat__sgn_2E0: u ).

tff(c_2Erat_2Erat__sgn_2E1,type,
    c_2Erat_2Erat__sgn_2E1: du > u ).

tff(c_2Erat_2Erat__sub_2E0,type,
    c_2Erat_2Erat__sub_2E0: u ).

tff(c_2Erat_2Erat__sub_2E2,type,
    c_2Erat_2Erat__sub_2E2: ( du * du ) > u ).

tff(c_2Erat_2Erep__rat_2E0,type,
    c_2Erat_2Erep__rat_2E0: u ).

tff(c_2Erat_2Erep__rat_2E1,type,
    c_2Erat_2Erep__rat_2E1: du > u ).

tff(c_2Erat_2Erep__rat__CLASS_2E0,type,
    c_2Erat_2Erep__rat__CLASS_2E0: u ).

tff(c_2Erat_2Erep__rat__CLASS_2E1,type,
    c_2Erat_2Erep__rat__CLASS_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_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Efrac_2Efrac ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Efrac_2Efrac,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Efrac_2Efrac: ( mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29 * mono_2Etyop_2Efrac_2Efrac ) > mono_2Etyop_2Efrac_2Efrac ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Efrac_2Efrac ) > mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29 * mono_2Etyop_2Efrac_2Efrac ) > mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Einteger_2Eint,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Einteger_2Eint: ( mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29 * mono_2Etyop_2Efrac_2Efrac ) > mono_2Etyop_2Einteger_2Eint ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat: ( mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29 * mono_2Etyop_2Efrac_2Efrac ) > mono_2Etyop_2Erat_2Erat ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Efrac_2Efrac,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Efrac_2Efrac: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Efrac_2Efrac ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Erat_2Erat ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Erat_2Erat,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Erat_2Erat: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29 ) > mono_2Etyop_2Erat_2Erat ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29 * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29 * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint: ( mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Enum_2Enum,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29 * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Enum_2Enum ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Erat_2Erat,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Erat_2Erat: ( mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29 * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Erat_2Erat ).

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

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Efrac_2Efrac,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Efrac_2Efrac: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Efrac_2Efrac ).

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

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

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Einteger_2Eint,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Einteger_2Eint: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Einteger_2Eint ).

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

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Erat_2Erat ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_20mono_2Etyop_2Efrac_2Efrac,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_20mono_2Etyop_2Efrac_2Efrac: ( mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29 * mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ) > mono_2Etyop_2Efrac_2Efrac ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Efrac_2Efrac,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Efrac_2Efrac: ( mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29 * mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Efrac_2Efrac ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29 * mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29 * mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29 ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Einteger_2Eint,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Einteger_2Eint: ( mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29 * mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Einteger_2Eint ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Enum_2Enum,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29 * mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Enum_2Enum ).

tff(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat: ( mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29 * mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat ).

tff(mono_2Ec_2Earithmetic_2E_2A_2E0,type,
    mono_2Ec_2Earithmetic_2E_2A_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 ).

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

tff(mono_2Ec_2Earithmetic_2E_2B_2E0,type,
    mono_2Ec_2Earithmetic_2E_2B_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 ).

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

tff(mono_2Ec_2Epair_2E_2C_2E0_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint,type,
    mono_2Ec_2Epair_2E_2C_2E0_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ).

tff(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint,type,
    mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ).

tff(mono_2Ec_2Earithmetic_2E_2D_2E0,type,
    mono_2Ec_2Earithmetic_2E_2D_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 ).

tff(mono_2Ec_2Earithmetic_2E_2D_2E2,type,
    mono_2Ec_2Earithmetic_2E_2D_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum ).

tff(mono_2Ec_2Ebool_2E_2F_5C_2E0,type,
    mono_2Ec_2Ebool_2E_2F_5C_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).

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

tff(mono_2Ec_2Enum_2E0_2E0,type,
    mono_2Ec_2Enum_2E0_2E0: mono_2Etyop_2Enum_2Enum ).

tff(mono_2Ec_2Eprim__rec_2E_3C_2E0,type,
    mono_2Ec_2Eprim__rec_2E_3C_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Eprim__rec_2E_3C_2E2,type,
    mono_2Ec_2Eprim__rec_2E_3C_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,type,
    mono_2Ec_2Earithmetic_2E_3C_3D_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Earithmetic_2E_3C_3D_2E2,type,
    mono_2Ec_2Earithmetic_2E_3C_3D_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Emin_2E_3D_3D_3E_2E0,type,
    mono_2Ec_2Emin_2E_3D_3D_3E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).

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

tff(mono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Efrac_2Efrac,type,
    mono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Efrac_2Efrac: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29 ).

tff(mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Efrac_2Efrac,type,
    mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Efrac_2Efrac: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29 > mono_2Etyop_2Efrac_2Efrac ).

tff(mono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 ).

tff(mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Einteger_2EABS_2E0,type,
    mono_2Ec_2Einteger_2EABS_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ).

tff(mono_2Ec_2Einteger_2EABS_2E1,type,
    mono_2Ec_2Einteger_2EABS_2E1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).

tff(mono_2Ec_2Earithmetic_2EBIT1_2E0,type,
    mono_2Ec_2Earithmetic_2EBIT1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ).

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

tff(mono_2Ec_2Earithmetic_2EBIT2_2E0,type,
    mono_2Ec_2Earithmetic_2EBIT2_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ).

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

tff(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Einteger_2Eint,type,
    mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ).

tff(mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Einteger_2Eint,type,
    mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Einteger_2Eint: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint ).

tff(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Erat_2Erat,type,
    mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Erat_2Erat: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29 ).

tff(mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Erat_2Erat,type,
    mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Erat_2Erat: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Erat_2Erat * mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat ).

tff(mono_2Ec_2Ebool_2EF_2E0,type,
    mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Ecombin_2EI_2E0_2Emono_2Etyop_2Erat_2Erat,type,
    mono_2Ec_2Ecombin_2EI_2E0_2Emono_2Etyop_2Erat_2Erat: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29 ).

tff(mono_2Ec_2Ecombin_2EI_2E1_2Emono_2Etyop_2Erat_2Erat,type,
    mono_2Ec_2Ecombin_2EI_2E1_2Emono_2Etyop_2Erat_2Erat: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ).

tff(mono_2Ec_2Earithmetic_2ENUMERAL_2E0,type,
    mono_2Ec_2Earithmetic_2ENUMERAL_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ).

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

tff(mono_2Ec_2Einteger_2ENum_2E0,type,
    mono_2Ec_2Einteger_2ENum_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29 ).

tff(mono_2Ec_2Einteger_2ENum_2E1,type,
    mono_2Ec_2Einteger_2ENum_2E1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum ).

tff(mono_2Ec_2Ebool_2EONE__ONE_2E0_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat,type,
    mono_2Ec_2Ebool_2EONE__ONE_2E0_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat,type,
    mono_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29 > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Equotient_2EQUOTIENT_2E0_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat,type,
    mono_2Ec_2Equotient_2EQUOTIENT_2E0_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29 ).

tff(mono_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat,type,
    mono_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat: ( mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Erat_2ERATD_2E0,type,
    mono_2Ec_2Erat_2ERATD_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29 ).

tff(mono_2Ec_2Erat_2ERATD_2E1,type,
    mono_2Ec_2Erat_2ERATD_2E1: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Enum_2Enum ).

tff(mono_2Ec_2Erat_2ERATN_2E0,type,
    mono_2Ec_2Erat_2ERATN_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29 ).

tff(mono_2Ec_2Erat_2ERATN_2E1,type,
    mono_2Ec_2Erat_2ERATN_2E1: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Einteger_2Eint ).

tff(mono_2Ec_2EintExtension_2ESGN_2E0,type,
    mono_2Ec_2EintExtension_2ESGN_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ).

tff(mono_2Ec_2EintExtension_2ESGN_2E1,type,
    mono_2Ec_2EintExtension_2ESGN_2E1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).

tff(mono_2Ec_2Enum_2ESUC_2E0,type,
    mono_2Ec_2Enum_2ESUC_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ).

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

tff(mono_2Ec_2Ebool_2ET_2E0,type,
    mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat,type,
    mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat,type,
    mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Erelation_2EWF_2E0_2Emono_2Etyop_2Enum_2Enum,type,
    mono_2Ec_2Erelation_2EWF_2E0_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Ec_2Erelation_2EWF_2E1_2Emono_2Etyop_2Enum_2Enum,type,
    mono_2Ec_2Erelation_2EWF_2E1_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Erelation_2EWFREC_2E0_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat,type,
    mono_2Ec_2Erelation_2EWFREC_2E0_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29 ).

tff(mono_2Ec_2Erelation_2EWFREC_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat,type,
    mono_2Ec_2Erelation_2EWFREC_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29 ) > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29 ).

tff(mono_2Ec_2Earithmetic_2EZERO_2E0,type,
    mono_2Ec_2Earithmetic_2EZERO_2E0: mono_2Etyop_2Enum_2Enum ).

tff(mono_2Ec_2Ebool_2E_5C_2F_2E0,type,
    mono_2Ec_2Ebool_2E_5C_2F_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).

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

tff(mono_2Ec_2Efrac_2Eabs__frac_2E0,type,
    mono_2Ec_2Efrac_2Eabs__frac_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29 ).

tff(mono_2Ec_2Efrac_2Eabs__frac_2E1,type,
    mono_2Ec_2Efrac_2Eabs__frac_2E1: mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > mono_2Etyop_2Efrac_2Efrac ).

tff(mono_2Ec_2Erat_2Eabs__rat_2E0,type,
    mono_2Ec_2Erat_2Eabs__rat_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29 ).

tff(mono_2Ec_2Erat_2Eabs__rat_2E1,type,
    mono_2Ec_2Erat_2Eabs__rat_2E1: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Erat_2Erat ).

tff(mono_2Ec_2Erat_2Eabs__rat__CLASS_2E0,type,
    mono_2Ec_2Erat_2Eabs__rat__CLASS_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29 ).

tff(mono_2Ec_2Erat_2Eabs__rat__CLASS_2E1,type,
    mono_2Ec_2Erat_2Eabs__rat__CLASS_2E1: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29 > mono_2Etyop_2Erat_2Erat ).

tff(mono_2Ec_2Efrac_2Efrac__0_2E0,type,
    mono_2Ec_2Efrac_2Efrac__0_2E0: mono_2Etyop_2Efrac_2Efrac ).

tff(mono_2Ec_2Efrac_2Efrac__1_2E0,type,
    mono_2Ec_2Efrac_2Efrac__1_2E0: mono_2Etyop_2Efrac_2Efrac ).

tff(mono_2Ec_2Efrac_2Efrac__add_2E0,type,
    mono_2Ec_2Efrac_2Efrac__add_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29 ).

tff(mono_2Ec_2Efrac_2Efrac__add_2E2,type,
    mono_2Ec_2Efrac_2Efrac__add_2E2: ( mono_2Etyop_2Efrac_2Efrac * mono_2Etyop_2Efrac_2Efrac ) > mono_2Etyop_2Efrac_2Efrac ).

tff(mono_2Ec_2Efrac_2Efrac__ainv_2E0,type,
    mono_2Ec_2Efrac_2Efrac__ainv_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29 ).

tff(mono_2Ec_2Efrac_2Efrac__ainv_2E1,type,
    mono_2Ec_2Efrac_2Efrac__ainv_2E1: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac ).

tff(mono_2Ec_2Efrac_2Efrac__div_2E0,type,
    mono_2Ec_2Efrac_2Efrac__div_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29 ).

tff(mono_2Ec_2Efrac_2Efrac__div_2E2,type,
    mono_2Ec_2Efrac_2Efrac__div_2E2: ( mono_2Etyop_2Efrac_2Efrac * mono_2Etyop_2Efrac_2Efrac ) > mono_2Etyop_2Efrac_2Efrac ).

tff(mono_2Ec_2Efrac_2Efrac__dnm_2E0,type,
    mono_2Ec_2Efrac_2Efrac__dnm_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29 ).

tff(mono_2Ec_2Efrac_2Efrac__dnm_2E1,type,
    mono_2Ec_2Efrac_2Efrac__dnm_2E1: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Einteger_2Eint ).

tff(mono_2Ec_2Efrac_2Efrac__minv_2E0,type,
    mono_2Ec_2Efrac_2Efrac__minv_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29 ).

tff(mono_2Ec_2Efrac_2Efrac__minv_2E1,type,
    mono_2Ec_2Efrac_2Efrac__minv_2E1: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Efrac_2Efrac ).

tff(mono_2Ec_2Efrac_2Efrac__mul_2E0,type,
    mono_2Ec_2Efrac_2Efrac__mul_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29 ).

tff(mono_2Ec_2Efrac_2Efrac__mul_2E2,type,
    mono_2Ec_2Efrac_2Efrac__mul_2E2: ( mono_2Etyop_2Efrac_2Efrac * mono_2Etyop_2Efrac_2Efrac ) > mono_2Etyop_2Efrac_2Efrac ).

tff(mono_2Ec_2Efrac_2Efrac__nmr_2E0,type,
    mono_2Ec_2Efrac_2Efrac__nmr_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29 ).

tff(mono_2Ec_2Efrac_2Efrac__nmr_2E1,type,
    mono_2Ec_2Efrac_2Efrac__nmr_2E1: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Einteger_2Eint ).

tff(mono_2Ec_2Efrac_2Efrac__save_2E0,type,
    mono_2Ec_2Efrac_2Efrac__save_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29 ).

tff(mono_2Ec_2Efrac_2Efrac__save_2E2,type,
    mono_2Ec_2Efrac_2Efrac__save_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Efrac_2Efrac ).

tff(mono_2Ec_2Efrac_2Efrac__sgn_2E0,type,
    mono_2Ec_2Efrac_2Efrac__sgn_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29 ).

tff(mono_2Ec_2Efrac_2Efrac__sgn_2E1,type,
    mono_2Ec_2Efrac_2Efrac__sgn_2E1: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Einteger_2Eint ).

tff(mono_2Ec_2Efrac_2Efrac__sub_2E0,type,
    mono_2Ec_2Efrac_2Efrac__sub_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29 ).

tff(mono_2Ec_2Efrac_2Efrac__sub_2E2,type,
    mono_2Ec_2Efrac_2Efrac__sub_2E2: ( mono_2Etyop_2Efrac_2Efrac * mono_2Etyop_2Efrac_2Efrac ) > mono_2Etyop_2Efrac_2Efrac ).

tff(mono_2Ec_2Einteger_2Eint__add_2E0,type,
    mono_2Ec_2Einteger_2Eint__add_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 ).

tff(mono_2Ec_2Einteger_2Eint__add_2E2,type,
    mono_2Ec_2Einteger_2Eint__add_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint ).

tff(mono_2Ec_2Einteger_2Eint__gt_2E0,type,
    mono_2Ec_2Einteger_2Eint__gt_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Einteger_2Eint__gt_2E2,type,
    mono_2Ec_2Einteger_2Eint__gt_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Einteger_2Eint__le_2E0,type,
    mono_2Ec_2Einteger_2Eint__le_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Einteger_2Eint__le_2E2,type,
    mono_2Ec_2Einteger_2Eint__le_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Einteger_2Eint__lt_2E0,type,
    mono_2Ec_2Einteger_2Eint__lt_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Einteger_2Eint__lt_2E2,type,
    mono_2Ec_2Einteger_2Eint__lt_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Einteger_2Eint__mul_2E0,type,
    mono_2Ec_2Einteger_2Eint__mul_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 ).

tff(mono_2Ec_2Einteger_2Eint__mul_2E2,type,
    mono_2Ec_2Einteger_2Eint__mul_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint ).

tff(mono_2Ec_2Einteger_2Eint__neg_2E0,type,
    mono_2Ec_2Einteger_2Eint__neg_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ).

tff(mono_2Ec_2Einteger_2Eint__neg_2E1,type,
    mono_2Ec_2Einteger_2Eint__neg_2E1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).

tff(mono_2Ec_2Einteger_2Eint__of__num_2E0,type,
    mono_2Ec_2Einteger_2Eint__of__num_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29 ).

tff(mono_2Ec_2Einteger_2Eint__of__num_2E1,type,
    mono_2Ec_2Einteger_2Eint__of__num_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint ).

tff(mono_2Ec_2Einteger_2Eint__sub_2E0,type,
    mono_2Ec_2Einteger_2Eint__sub_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 ).

tff(mono_2Ec_2Einteger_2Eint__sub_2E2,type,
    mono_2Ec_2Einteger_2Eint__sub_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint ).

tff(mono_2Ec_2Earithmetic_2Enum__CASE_2E0_2Emono_2Etyop_2Erat_2Erat,type,
    mono_2Ec_2Earithmetic_2Enum__CASE_2E0_2Emono_2Etyop_2Erat_2Erat: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29 ).

tff(mono_2Ec_2Earithmetic_2Enum__CASE_2E3_2Emono_2Etyop_2Erat_2Erat,type,
    mono_2Ec_2Earithmetic_2Enum__CASE_2E3_2Emono_2Etyop_2Erat_2Erat: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Erat_2Erat * mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29 ) > mono_2Etyop_2Erat_2Erat ).

tff(mono_2Ec_2Erat_2Erat__0_2E0,type,
    mono_2Ec_2Erat_2Erat__0_2E0: mono_2Etyop_2Erat_2Erat ).

tff(mono_2Ec_2Erat_2Erat__1_2E0,type,
    mono_2Ec_2Erat_2Erat__1_2E0: mono_2Etyop_2Erat_2Erat ).

tff(mono_2Ec_2Erat_2Erat__add_2E0,type,
    mono_2Ec_2Erat_2Erat__add_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29 ).

tff(mono_2Ec_2Erat_2Erat__add_2E1,type,
    mono_2Ec_2Erat_2Erat__add_2E1: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29 ).

tff(mono_2Ec_2Erat_2Erat__add_2E2,type,
    mono_2Ec_2Erat_2Erat__add_2E2: ( mono_2Etyop_2Erat_2Erat * mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat ).

tff(mono_2Ec_2Erat_2Erat__ainv_2E0,type,
    mono_2Ec_2Erat_2Erat__ainv_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29 ).

tff(mono_2Ec_2Erat_2Erat__ainv_2E1,type,
    mono_2Ec_2Erat_2Erat__ainv_2E1: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ).

tff(mono_2Ec_2Erat_2Erat__cons_2E0,type,
    mono_2Ec_2Erat_2Erat__cons_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29 ).

tff(mono_2Ec_2Erat_2Erat__cons_2E2,type,
    mono_2Ec_2Erat_2Erat__cons_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Erat_2Erat ).

tff(mono_2Ec_2Erat_2Erat__div_2E0,type,
    mono_2Ec_2Erat_2Erat__div_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29 ).

tff(mono_2Ec_2Erat_2Erat__div_2E2,type,
    mono_2Ec_2Erat_2Erat__div_2E2: ( mono_2Etyop_2Erat_2Erat * mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat ).

tff(mono_2Ec_2Erat_2Erat__dnm_2E0,type,
    mono_2Ec_2Erat_2Erat__dnm_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29 ).

tff(mono_2Ec_2Erat_2Erat__dnm_2E1,type,
    mono_2Ec_2Erat_2Erat__dnm_2E1: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Einteger_2Eint ).

tff(mono_2Ec_2Erat_2Erat__equiv_2E0,type,
    mono_2Ec_2Erat_2Erat__equiv_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Erat_2Erat__equiv_2E1,type,
    mono_2Ec_2Erat_2Erat__equiv_2E1: mono_2Etyop_2Efrac_2Efrac > mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29 ).

tff(mono_2Ec_2Erat_2Erat__equiv_2E2,type,
    mono_2Ec_2Erat_2Erat__equiv_2E2: ( mono_2Etyop_2Efrac_2Efrac * mono_2Etyop_2Efrac_2Efrac ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Erat_2Erat__geq_2E0,type,
    mono_2Ec_2Erat_2Erat__geq_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Erat_2Erat__geq_2E2,type,
    mono_2Ec_2Erat_2Erat__geq_2E2: ( mono_2Etyop_2Erat_2Erat * mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Erat_2Erat__gre_2E0,type,
    mono_2Ec_2Erat_2Erat__gre_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Erat_2Erat__gre_2E2,type,
    mono_2Ec_2Erat_2Erat__gre_2E2: ( mono_2Etyop_2Erat_2Erat * mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Erat_2Erat__leq_2E0,type,
    mono_2Ec_2Erat_2Erat__leq_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Erat_2Erat__leq_2E2,type,
    mono_2Ec_2Erat_2Erat__leq_2E2: ( mono_2Etyop_2Erat_2Erat * mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Erat_2Erat__les_2E0,type,
    mono_2Ec_2Erat_2Erat__les_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Erat_2Erat__les_2E2,type,
    mono_2Ec_2Erat_2Erat__les_2E2: ( mono_2Etyop_2Erat_2Erat * mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Emin_2Ebool ).

tff(mono_2Ec_2Erat_2Erat__max_2E0,type,
    mono_2Ec_2Erat_2Erat__max_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29 ).

tff(mono_2Ec_2Erat_2Erat__max_2E2,type,
    mono_2Ec_2Erat_2Erat__max_2E2: ( mono_2Etyop_2Erat_2Erat * mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat ).

tff(mono_2Ec_2Erat_2Erat__min_2E0,type,
    mono_2Ec_2Erat_2Erat__min_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29 ).

tff(mono_2Ec_2Erat_2Erat__min_2E2,type,
    mono_2Ec_2Erat_2Erat__min_2E2: ( mono_2Etyop_2Erat_2Erat * mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat ).

tff(mono_2Ec_2Erat_2Erat__minv_2E0,type,
    mono_2Ec_2Erat_2Erat__minv_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29 ).

tff(mono_2Ec_2Erat_2Erat__minv_2E1,type,
    mono_2Ec_2Erat_2Erat__minv_2E1: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Erat_2Erat ).

tff(mono_2Ec_2Erat_2Erat__mul_2E0,type,
    mono_2Ec_2Erat_2Erat__mul_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29 ).

tff(mono_2Ec_2Erat_2Erat__mul_2E1,type,
    mono_2Ec_2Erat_2Erat__mul_2E1: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29 ).

tff(mono_2Ec_2Erat_2Erat__mul_2E2,type,
    mono_2Ec_2Erat_2Erat__mul_2E2: ( mono_2Etyop_2Erat_2Erat * mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat ).

tff(mono_2Ec_2Erat_2Erat__nmr_2E0,type,
    mono_2Ec_2Erat_2Erat__nmr_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29 ).

tff(mono_2Ec_2Erat_2Erat__nmr_2E1,type,
    mono_2Ec_2Erat_2Erat__nmr_2E1: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Einteger_2Eint ).

tff(mono_2Ec_2Erat_2Erat__of__int_2E0,type,
    mono_2Ec_2Erat_2Erat__of__int_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29 ).

tff(mono_2Ec_2Erat_2Erat__of__int_2E1,type,
    mono_2Ec_2Erat_2Erat__of__int_2E1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Erat_2Erat ).

tff(mono_2Ec_2Erat_2Erat__of__num_2E0,type,
    mono_2Ec_2Erat_2Erat__of__num_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29 ).

tff(mono_2Ec_2Erat_2Erat__of__num_2E1,type,
    mono_2Ec_2Erat_2Erat__of__num_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erat_2Erat ).

tff(mono_2Ec_2Erat_2Erat__sgn_2E0,type,
    mono_2Ec_2Erat_2Erat__sgn_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29 ).

tff(mono_2Ec_2Erat_2Erat__sgn_2E1,type,
    mono_2Ec_2Erat_2Erat__sgn_2E1: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Einteger_2Eint ).

tff(mono_2Ec_2Erat_2Erat__sub_2E0,type,
    mono_2Ec_2Erat_2Erat__sub_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29 ).

tff(mono_2Ec_2Erat_2Erat__sub_2E2,type,
    mono_2Ec_2Erat_2Erat__sub_2E2: ( mono_2Etyop_2Erat_2Erat * mono_2Etyop_2Erat_2Erat ) > mono_2Etyop_2Erat_2Erat ).

tff(mono_2Ec_2Erat_2Erep__rat_2E0,type,
    mono_2Ec_2Erat_2Erep__rat_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29 ).

tff(mono_2Ec_2Erat_2Erep__rat_2E1,type,
    mono_2Ec_2Erat_2Erep__rat_2E1: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Efrac_2Efrac ).

tff(mono_2Ec_2Erat_2Erep__rat__CLASS_2E0,type,
    mono_2Ec_2Erat_2Erep__rat__CLASS_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 ).

tff(mono_2Ec_2Erat_2Erep__rat__CLASS_2E1,type,
    mono_2Ec_2Erat_2Erep__rat__CLASS_2E1: mono_2Etyop_2Erat_2Erat > mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_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_2Efrac_2Efrac,type,
    i_mono_2Etyop_2Efrac_2Efrac: mono_2Etyop_2Efrac_2Efrac > 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_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29 > u ).

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

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29 > u ).

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

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

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29 > u ).

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

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29 > u ).

tff(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29 > u ).

tff(i_mono_2Etyop_2Einteger_2Eint,type,
    i_mono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Einteger_2Eint > u ).

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

tff(i_mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,type,
    i_mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > u ).

tff(i_mono_2Etyop_2Erat_2Erat,type,
    i_mono_2Etyop_2Erat_2Erat: mono_2Etyop_2Erat_2Erat > u ).

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

tff(j_mono_2Etyop_2Efrac_2Efrac,type,
    j_mono_2Etyop_2Efrac_2Efrac: du > mono_2Etyop_2Efrac_2Efrac ).

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_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29 ).

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

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29 ).

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

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

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29 ).

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

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29 ).

tff(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29 ).

tff(j_mono_2Etyop_2Einteger_2Eint,type,
    j_mono_2Etyop_2Einteger_2Eint: du > mono_2Etyop_2Einteger_2Eint ).

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

tff(j_mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,type,
    j_mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ).

tff(j_mono_2Etyop_2Erat_2Erat,type,
    j_mono_2Etyop_2Erat_2Erat: du > mono_2Etyop_2Erat_2Erat ).

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_2Efrac_2Efrac,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Efrac_2Efrac,i_mono_2Etyop_2Efrac_2Efrac(j_mono_2Etyop_2Efrac_2Efrac(s(tyop_2Efrac_2Efrac,V0_2E0)))) = s(tyop_2Efrac_2Efrac,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_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint))),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat))),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Efrac_2Efrac),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29(s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Efrac_2Efrac),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Efrac_2Efrac),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Efrac_2Efrac)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29(s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Efrac_2Efrac)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Efrac_2Efrac)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Einteger_2Eint),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29(s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Einteger_2Eint),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Einteger_2Eint),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29(s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Erat_2Erat),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Erat_2Erat),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Efrac_2Efrac),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Efrac_2Efrac),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Efrac_2Efrac),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Erat_2Erat),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Erat_2Erat),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),tyop_2Emin_2Ebool))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),tyop_2Emin_2Ebool))),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),tyop_2Emin_2Ebool)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_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_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat))),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Erat_2Erat),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Erat_2Erat),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),tyop_2Emin_2Ebool),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),tyop_2Emin_2Ebool),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint))),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Erat_2Erat)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Erat_2Erat)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Erat_2Erat)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efrac_2Efrac)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efrac_2Efrac)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efrac_2Efrac)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Enum_2Enum),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Enum_2Enum),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Enum_2Enum),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Erat_2Erat),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Erat_2Erat),V0_2E0) ) ).

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

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efrac_2Efrac),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efrac_2Efrac),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efrac_2Efrac),V0_2E0) ) ).

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

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

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Erat_2Erat))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Erat_2Erat))),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Erat_2Erat))),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Einteger_2Eint),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Einteger_2Eint),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Einteger_2Eint),V0_2E0) ) ).

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

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),tyop_2Efrac_2Efrac),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),tyop_2Efrac_2Efrac),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),tyop_2Efrac_2Efrac),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Ebool),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Ebool),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Erat_2Erat)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Erat_2Erat)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Erat_2Erat)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Ebool)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Ebool)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat)),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat)),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Einteger_2Eint),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Einteger_2Eint),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Einteger_2Eint),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Enum_2Enum),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Enum_2Enum),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Enum_2Enum),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),V0_2E0)))) = s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Einteger_2Eint,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(j_mono_2Etyop_2Einteger_2Eint(s(tyop_2Einteger_2Eint,V0_2E0)))) = s(tyop_2Einteger_2Eint,V0_2E0) ) ).

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

tff(ij_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),i_mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(j_mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(s(tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),V0_2E0)))) = s(tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),V0_2E0) ) ).

tff(ij_2Emono_2Etyop_2Erat_2Erat,axiom,
    ! [V0_2E0: u] : ( s(tyop_2Erat_2Erat,i_mono_2Etyop_2Erat_2Erat(j_mono_2Etyop_2Erat_2Erat(s(tyop_2Erat_2Erat,V0_2E0)))) = s(tyop_2Erat_2Erat,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_2Efrac_2Efrac,axiom,
    ! [V0_2E0: mono_2Etyop_2Efrac_2Efrac] : ( j_mono_2Etyop_2Efrac_2Efrac(s(tyop_2Efrac_2Efrac,i_mono_2Etyop_2Efrac_2Efrac(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_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29(s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Efrac_2Efrac),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29(s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Efrac_2Efrac)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29(s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Einteger_2Eint),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29(s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Efrac_2Efrac),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Erat_2Erat)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efrac_2Efrac)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Enum_2Enum),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29(V0_2E0))) = V0_2E0 ) ).

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

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efrac_2Efrac),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29(V0_2E0))) = V0_2E0 ) ).

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

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

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Erat_2Erat))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Einteger_2Eint),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29(V0_2E0))) = V0_2E0 ) ).

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

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),tyop_2Efrac_2Efrac),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Erat_2Erat)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Einteger_2Eint),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Enum_2Enum),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Einteger_2Eint,axiom,
    ! [V0_2E0: mono_2Etyop_2Einteger_2Eint] : ( j_mono_2Etyop_2Einteger_2Eint(s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(V0_2E0))) = V0_2E0 ) ).

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

tff(ji_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29] : ( j_mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(s(tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),i_mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(V0_2E0))) = V0_2E0 ) ).

tff(ji_2Emono_2Etyop_2Erat_2Erat,axiom,
    ! [V0_2E0: mono_2Etyop_2Erat_2Erat] : ( j_mono_2Etyop_2Erat_2Erat(s(tyop_2Erat_2Erat,i_mono_2Etyop_2Erat_2Erat(V0_2E0))) = V0_2E0 ) ).

tff(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))) ) ).

tff(arityeq2_2Ec_2Earithmetic_2E_2A_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Enum_2Enum,X1_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Earithmetic_2E_2A_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2A_2E0,X0_2E0),X1_2E0) ) ).

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

tff(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint,axiom,
    ! [X0_2E0: mono_2Etyop_2Einteger_2Eint,X1_2E0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29(mono_2Ec_2Epair_2E_2C_2E0_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint,X0_2E0),X1_2E0) ) ).

tff(arityeq2_2Ec_2Earithmetic_2E_2D_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Enum_2Enum,X1_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Earithmetic_2E_2D_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Ebool,X1_2E0: mono_2Etyop_2Emin_2Ebool] :
      ( ( p(X0_2E0)
        & p(X1_2E0) )
    <=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_2F_5C_2E0,X0_2E0),X1_2E0)) ) ).

tff(arityeq2_2Ec_2Eprim__rec_2E_3C_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Enum_2Enum,X1_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Eprim__rec_2E_3C_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eprim__rec_2E_3C_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq2_2Ec_2Earithmetic_2E_3C_3D_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Enum_2Enum,X1_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u,X1_2E0: u] :
      ( ( s(A_27a,X0_2E0) = s(A_27a,X1_2E0) )
    <=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0))))) ) ).

tff(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Ebool,X1_2E0: mono_2Etyop_2Emin_2Ebool] :
      ( ( p(X0_2E0)
       => p(X1_2E0) )
    <=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Emin_2E_3D_3D_3E_2E0,X0_2E0),X1_2E0)) ) ).

tff(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a: d,X0_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))) ) ).

tff(arityeq1_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Efrac_2Efrac,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29] : ( mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Efrac_2Efrac(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Efrac_2Efrac(mono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Efrac_2Efrac,X0_2E0) ) ).

tff(arityeq1_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29] : ( mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29(mono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,X0_2E0) ) ).

tff(arityeq1_2Ec_2Einteger_2EABS_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2EABS_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Ec_2Einteger_2EABS_2E0,X0_2E0) ) ).

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

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

tff(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Einteger_2Eint,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Ebool,X1_2E0: mono_2Etyop_2Einteger_2Eint,X2_2E0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Einteger_2Eint(X0_2E0,X1_2E0,X2_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Einteger_2Eint,X0_2E0),X1_2E0),X2_2E0) ) ).

tff(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Erat_2Erat,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Ebool,X1_2E0: mono_2Etyop_2Erat_2Erat,X2_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Erat_2Erat(X0_2E0,X1_2E0,X2_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Erat_2Erat,X0_2E0),X1_2E0),X2_2E0) ) ).

tff(arityeq1_2Ec_2Ecombin_2EI_2E1_2Emono_2Etyop_2Erat_2Erat,axiom,
    ! [X0_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Ecombin_2EI_2E1_2Emono_2Etyop_2Erat_2Erat(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat(mono_2Ec_2Ecombin_2EI_2E0_2Emono_2Etyop_2Erat_2Erat,X0_2E0) ) ).

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

tff(arityeq1_2Ec_2Einteger_2ENum_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2ENum_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Enum_2Enum(mono_2Ec_2Einteger_2ENum_2E0,X0_2E0) ) ).

tff(arityeq1_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29] : ( mono_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2EONE__ONE_2E0_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat,X0_2E0) ) ).

tff(arityeq3_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29,X1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29,X2_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29] : ( mono_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat(X0_2E0,X1_2E0,X2_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29(mono_2Ec_2Equotient_2EQUOTIENT_2E0_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat,X0_2E0),X1_2E0),X2_2E0) ) ).

tff(arityeq1_2Ec_2Erat_2ERATD_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2ERATD_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Enum_2Enum(mono_2Ec_2Erat_2ERATD_2E0,X0_2E0) ) ).

tff(arityeq1_2Ec_2Erat_2ERATN_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2ERATN_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Einteger_2Eint(mono_2Ec_2Erat_2ERATN_2E0,X0_2E0) ) ).

tff(arityeq1_2Ec_2EintExtension_2ESGN_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2EintExtension_2ESGN_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Ec_2EintExtension_2ESGN_2E0,X0_2E0) ) ).

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

tff(arityeq2_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,X1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29] : ( mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat,X0_2E0),X1_2E0) ) ).

tff(arityeq1_2Ec_2Erelation_2EWF_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29] : ( mono_2Ec_2Erelation_2EWF_2E1_2Emono_2Etyop_2Enum_2Enum(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Erelation_2EWF_2E0_2Emono_2Etyop_2Enum_2Enum,X0_2E0) ) ).

tff(arityeq2_2Ec_2Erelation_2EWFREC_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,X1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29] : ( mono_2Ec_2Erelation_2EWFREC_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29(mono_2Ec_2Erelation_2EWFREC_2E0_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat,X0_2E0),X1_2E0) ) ).

tff(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Ebool,X1_2E0: mono_2Etyop_2Emin_2Ebool] :
      ( ( p(X0_2E0)
        | p(X1_2E0) )
    <=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_5C_2F_2E0,X0_2E0),X1_2E0)) ) ).

tff(arityeq1_2Ec_2Efrac_2Eabs__frac_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29] : ( mono_2Ec_2Efrac_2Eabs__frac_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_20mono_2Etyop_2Efrac_2Efrac(mono_2Ec_2Efrac_2Eabs__frac_2E0,X0_2E0) ) ).

tff(arityeq1_2Ec_2Erat_2Eabs__rat_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Eabs__rat_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat(mono_2Ec_2Erat_2Eabs__rat_2E0,X0_2E0) ) ).

tff(arityeq1_2Ec_2Erat_2Eabs__rat__CLASS_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29] : ( mono_2Ec_2Erat_2Eabs__rat__CLASS_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat(mono_2Ec_2Erat_2Eabs__rat__CLASS_2E0,X0_2E0) ) ).

tff(arityeq2_2Ec_2Efrac_2Efrac__add_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Efrac_2Efrac,X1_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Efrac_2Efrac__add_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Efrac_2Efrac(mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29(mono_2Ec_2Efrac_2Efrac__add_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq1_2Ec_2Efrac_2Efrac__ainv_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Efrac_2Efrac__ainv_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Efrac_2Efrac(mono_2Ec_2Efrac_2Efrac__ainv_2E0,X0_2E0) ) ).

tff(arityeq2_2Ec_2Efrac_2Efrac__div_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Efrac_2Efrac,X1_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Efrac_2Efrac__div_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Efrac_2Efrac(mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29(mono_2Ec_2Efrac_2Efrac__div_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq1_2Ec_2Efrac_2Efrac__dnm_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Efrac_2Efrac__dnm_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Einteger_2Eint(mono_2Ec_2Efrac_2Efrac__dnm_2E0,X0_2E0) ) ).

tff(arityeq1_2Ec_2Efrac_2Efrac__minv_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Efrac_2Efrac__minv_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Efrac_2Efrac(mono_2Ec_2Efrac_2Efrac__minv_2E0,X0_2E0) ) ).

tff(arityeq2_2Ec_2Efrac_2Efrac__mul_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Efrac_2Efrac,X1_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Efrac_2Efrac__mul_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Efrac_2Efrac(mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29(mono_2Ec_2Efrac_2Efrac__mul_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq1_2Ec_2Efrac_2Efrac__nmr_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Efrac_2Efrac__nmr_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Einteger_2Eint(mono_2Ec_2Efrac_2Efrac__nmr_2E0,X0_2E0) ) ).

tff(arityeq2_2Ec_2Efrac_2Efrac__save_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Einteger_2Eint,X1_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Efrac_2Efrac__save_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Efrac_2Efrac(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29(mono_2Ec_2Efrac_2Efrac__save_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq1_2Ec_2Efrac_2Efrac__sgn_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Efrac_2Efrac__sgn_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Einteger_2Eint(mono_2Ec_2Efrac_2Efrac__sgn_2E0,X0_2E0) ) ).

tff(arityeq2_2Ec_2Efrac_2Efrac__sub_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Efrac_2Efrac,X1_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Efrac_2Efrac__sub_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Efrac_2Efrac(mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29(mono_2Ec_2Efrac_2Efrac__sub_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq2_2Ec_2Einteger_2Eint__add_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Einteger_2Eint,X1_2E0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__add_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Ec_2Einteger_2Eint__add_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq2_2Ec_2Einteger_2Eint__gt_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Einteger_2Eint,X1_2E0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__gt_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__gt_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq2_2Ec_2Einteger_2Eint__le_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Einteger_2Eint,X1_2E0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__le_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__le_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq2_2Ec_2Einteger_2Eint__lt_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Einteger_2Eint,X1_2E0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__lt_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__lt_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq2_2Ec_2Einteger_2Eint__mul_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Einteger_2Eint,X1_2E0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__mul_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Ec_2Einteger_2Eint__mul_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq1_2Ec_2Einteger_2Eint__neg_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__neg_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Ec_2Einteger_2Eint__neg_2E0,X0_2E0) ) ).

tff(arityeq1_2Ec_2Einteger_2Eint__of__num_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Einteger_2Eint__of__num_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Einteger_2Eint(mono_2Ec_2Einteger_2Eint__of__num_2E0,X0_2E0) ) ).

tff(arityeq2_2Ec_2Einteger_2Eint__sub_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Einteger_2Eint,X1_2E0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__sub_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Ec_2Einteger_2Eint__sub_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq3_2Ec_2Earithmetic_2Enum__CASE_2E3_2Emono_2Etyop_2Erat_2Erat,axiom,
    ! [X0_2E0: mono_2Etyop_2Enum_2Enum,X1_2E0: mono_2Etyop_2Erat_2Erat,X2_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29] : ( mono_2Ec_2Earithmetic_2Enum__CASE_2E3_2Emono_2Etyop_2Erat_2Erat(X0_2E0,X1_2E0,X2_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Erat_2Erat(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29(mono_2Ec_2Earithmetic_2Enum__CASE_2E0_2Emono_2Etyop_2Erat_2Erat,X0_2E0),X1_2E0),X2_2E0) ) ).

tff(arityeq1_2Ec_2Erat_2Erat__add_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__add_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29(mono_2Ec_2Erat_2Erat__add_2E0,X0_2E0) ) ).

tff(arityeq2_2Ec_2Erat_2Erat__add_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Erat_2Erat,X1_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__add_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29(mono_2Ec_2Erat_2Erat__add_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq1_2Ec_2Erat_2Erat__ainv_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__ainv_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat(mono_2Ec_2Erat_2Erat__ainv_2E0,X0_2E0) ) ).

tff(arityeq2_2Ec_2Erat_2Erat__cons_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Einteger_2Eint,X1_2E0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Erat_2Erat__cons_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Erat_2Erat(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29(mono_2Ec_2Erat_2Erat__cons_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq2_2Ec_2Erat_2Erat__div_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Erat_2Erat,X1_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__div_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29(mono_2Ec_2Erat_2Erat__div_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq1_2Ec_2Erat_2Erat__dnm_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__dnm_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Einteger_2Eint(mono_2Ec_2Erat_2Erat__dnm_2E0,X0_2E0) ) ).

tff(arityeq1_2Ec_2Erat_2Erat__equiv_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Erat__equiv_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Erat_2Erat__equiv_2E0,X0_2E0) ) ).

tff(arityeq2_2Ec_2Erat_2Erat__equiv_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Efrac_2Efrac,X1_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Erat__equiv_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Erat_2Erat__equiv_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq2_2Ec_2Erat_2Erat__geq_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Erat_2Erat,X1_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__geq_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Erat_2Erat__geq_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq2_2Ec_2Erat_2Erat__gre_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Erat_2Erat,X1_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__gre_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Erat_2Erat__gre_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq2_2Ec_2Erat_2Erat__leq_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Erat_2Erat,X1_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__leq_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Erat_2Erat__leq_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq2_2Ec_2Erat_2Erat__les_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Erat_2Erat,X1_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__les_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Erat_2Erat__les_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq2_2Ec_2Erat_2Erat__max_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Erat_2Erat,X1_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__max_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29(mono_2Ec_2Erat_2Erat__max_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq2_2Ec_2Erat_2Erat__min_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Erat_2Erat,X1_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__min_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29(mono_2Ec_2Erat_2Erat__min_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq1_2Ec_2Erat_2Erat__minv_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__minv_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat(mono_2Ec_2Erat_2Erat__minv_2E0,X0_2E0) ) ).

tff(arityeq1_2Ec_2Erat_2Erat__mul_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__mul_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29(mono_2Ec_2Erat_2Erat__mul_2E0,X0_2E0) ) ).

tff(arityeq2_2Ec_2Erat_2Erat__mul_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Erat_2Erat,X1_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__mul_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29(mono_2Ec_2Erat_2Erat__mul_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq1_2Ec_2Erat_2Erat__nmr_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__nmr_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Einteger_2Eint(mono_2Ec_2Erat_2Erat__nmr_2E0,X0_2E0) ) ).

tff(arityeq1_2Ec_2Erat_2Erat__of__int_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Erat_2Erat__of__int_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Erat_2Erat(mono_2Ec_2Erat_2Erat__of__int_2E0,X0_2E0) ) ).

tff(arityeq1_2Ec_2Erat_2Erat__of__num_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Erat_2Erat__of__num_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat(mono_2Ec_2Erat_2Erat__of__num_2E0,X0_2E0) ) ).

tff(arityeq1_2Ec_2Erat_2Erat__sgn_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__sgn_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Einteger_2Eint(mono_2Ec_2Erat_2Erat__sgn_2E0,X0_2E0) ) ).

tff(arityeq2_2Ec_2Erat_2Erat__sub_2E2,axiom,
    ! [X0_2E0: mono_2Etyop_2Erat_2Erat,X1_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__sub_2E2(X0_2E0,X1_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29(mono_2Ec_2Erat_2Erat__sub_2E0,X0_2E0),X1_2E0) ) ).

tff(arityeq1_2Ec_2Erat_2Erep__rat_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erep__rat_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Efrac_2Efrac(mono_2Ec_2Erat_2Erep__rat_2E0,X0_2E0) ) ).

tff(arityeq1_2Ec_2Erat_2Erep__rat__CLASS_2E1,axiom,
    ! [X0_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erep__rat__CLASS_2E1(X0_2E0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Erat_2Erep__rat__CLASS_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_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,V1_2E0: mono_2Etyop_2Emin_2Ebool] : ( s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29(V0_2E0)),s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29,V1_2E0: mono_2Etyop_2Emin_2Ebool] : ( s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29(V0_2E0)),s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Efrac_2Efrac] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Efrac_2Efrac,i_mono_2Etyop_2Efrac_2Efrac(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Efrac_2Efrac,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29,V1_2E0: mono_2Etyop_2Efrac_2Efrac] : ( s(tyop_2Efrac_2Efrac,i_mono_2Etyop_2Efrac_2Efrac(mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Efrac_2Efrac(V0_2E0,V1_2E0))) = s(tyop_2Efrac_2Efrac,app_2E2(s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Efrac_2Efrac),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29(V0_2E0)),s(tyop_2Efrac_2Efrac,i_mono_2Etyop_2Efrac_2Efrac(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Efrac_2Efrac] : ( s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Efrac_2Efrac,i_mono_2Etyop_2Efrac_2Efrac(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29,V1_2E0: mono_2Etyop_2Efrac_2Efrac] : ( s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Efrac_2Efrac),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29(mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Efrac_2Efrac),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Efrac_2Efrac)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Efrac_2Efrac_29_29(V0_2E0)),s(tyop_2Efrac_2Efrac,i_mono_2Etyop_2Efrac_2Efrac(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Einteger_2Eint,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29,V1_2E0: mono_2Etyop_2Efrac_2Efrac] : ( s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Einteger_2Eint(V0_2E0,V1_2E0))) = s(tyop_2Einteger_2Eint,app_2E2(s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Einteger_2Eint),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Einteger_2Eint_29(V0_2E0)),s(tyop_2Efrac_2Efrac,i_mono_2Etyop_2Efrac_2Efrac(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29,V1_2E0: mono_2Etyop_2Efrac_2Efrac] : ( s(tyop_2Erat_2Erat,i_mono_2Etyop_2Erat_2Erat(mono_2Eapp_2E2_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat(V0_2E0,V1_2E0))) = s(tyop_2Erat_2Erat,app_2E2(s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29(V0_2E0)),s(tyop_2Efrac_2Efrac,i_mono_2Etyop_2Efrac_2Efrac(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_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_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Efrac_2Efrac,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29] : ( s(tyop_2Efrac_2Efrac,i_mono_2Etyop_2Efrac_2Efrac(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Efrac_2Efrac(V0_2E0,V1_2E0))) = s(tyop_2Efrac_2Efrac,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Efrac_2Efrac),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29] : ( s(tyop_2Erat_2Erat,i_mono_2Etyop_2Erat_2Erat(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat(V0_2E0,V1_2E0))) = s(tyop_2Erat_2Erat,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Erat_2Erat_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29] : ( s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29] : ( s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_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_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29] : ( s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29] : ( s(tyop_2Erat_2Erat,i_mono_2Etyop_2Erat_2Erat(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Erat_2Erat(V0_2E0,V1_2E0))) = s(tyop_2Erat_2Erat,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_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_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Einteger_2Eint] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Einteger_2Eint] : ( s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,V1_2E0: mono_2Etyop_2Einteger_2Eint] : ( s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29(V0_2E0)),s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29,V1_2E0: mono_2Etyop_2Einteger_2Eint] : ( s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29(V0_2E0)),s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29,V1_2E0: mono_2Etyop_2Einteger_2Eint] : ( s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Erat_2Erat)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29_29(V0_2E0)),s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29,V1_2E0: mono_2Etyop_2Einteger_2Eint] : ( s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efrac_2Efrac),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efrac_2Efrac),app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efrac_2Efrac)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29_29(V0_2E0)),s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,V1_2E0: mono_2Etyop_2Einteger_2Eint] : ( s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(V0_2E0,V1_2E0))) = s(tyop_2Einteger_2Eint,app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(V0_2E0)),s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Enum_2Enum,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29,V1_2E0: mono_2Etyop_2Einteger_2Eint] : ( s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Enum_2Enum(V0_2E0,V1_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Enum_2Enum),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29(V0_2E0)),s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29,V1_2E0: mono_2Etyop_2Einteger_2Eint] : ( s(tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),i_mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(V0_2E0,V1_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29(V0_2E0)),s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29,V1_2E0: mono_2Etyop_2Einteger_2Eint] : ( s(tyop_2Erat_2Erat,i_mono_2Etyop_2Erat_2Erat(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Erat_2Erat(V0_2E0,V1_2E0))) = s(tyop_2Erat_2Erat,app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Erat_2Erat_29(V0_2E0)),s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(V1_2E0)))) ) ).

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

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Efrac_2Efrac,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29,V1_2E0: mono_2Etyop_2Enum_2Enum] : ( s(tyop_2Efrac_2Efrac,i_mono_2Etyop_2Efrac_2Efrac(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Efrac_2Efrac(V0_2E0,V1_2E0))) = s(tyop_2Efrac_2Efrac,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efrac_2Efrac),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Efrac_2Efrac_29(V0_2E0)),s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(V1_2E0)))) ) ).

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

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

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29,V1_2E0: mono_2Etyop_2Enum_2Enum] : ( s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Erat_2Erat)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Erat_2Erat)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Erat_2Erat))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29(V0_2E0)),s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Einteger_2Eint,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29,V1_2E0: mono_2Etyop_2Enum_2Enum] : ( s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Einteger_2Eint(V0_2E0,V1_2E0))) = s(tyop_2Einteger_2Eint,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Einteger_2Eint),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29(V0_2E0)),s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(V1_2E0)))) ) ).

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

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29,V1_2E0: mono_2Etyop_2Enum_2Enum] : ( s(tyop_2Erat_2Erat,i_mono_2Etyop_2Erat_2Erat(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat(V0_2E0,V1_2E0))) = s(tyop_2Erat_2Erat,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29(V0_2E0)),s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_20mono_2Etyop_2Efrac_2Efrac,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29,V1_2E0: mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29] : ( s(tyop_2Efrac_2Efrac,i_mono_2Etyop_2Efrac_2Efrac(mono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_20mono_2Etyop_2Efrac_2Efrac(V0_2E0,V1_2E0))) = s(tyop_2Efrac_2Efrac,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),tyop_2Efrac_2Efrac),i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_2Ctyop_2Efrac_2Efrac_29(V0_2E0)),s(tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),i_mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Erat_2Erat] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Ebool(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Erat_2Erat,i_mono_2Etyop_2Erat_2Erat(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Efrac_2Efrac,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29,V1_2E0: mono_2Etyop_2Erat_2Erat] : ( s(tyop_2Efrac_2Efrac,i_mono_2Etyop_2Efrac_2Efrac(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Efrac_2Efrac(V0_2E0,V1_2E0))) = s(tyop_2Efrac_2Efrac,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29(V0_2E0)),s(tyop_2Erat_2Erat,i_mono_2Etyop_2Erat_2Erat(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Erat_2Erat] : ( s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Erat_2Erat,i_mono_2Etyop_2Erat_2Erat(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29,V1_2E0: mono_2Etyop_2Erat_2Erat] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Erat_2Erat)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29(V0_2E0)),s(tyop_2Erat_2Erat,i_mono_2Etyop_2Erat_2Erat(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Erat_2Erat] : ( s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Erat_2Erat,i_mono_2Etyop_2Erat_2Erat(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29,V1_2E0: mono_2Etyop_2Erat_2Erat] : ( s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29(V0_2E0)),s(tyop_2Erat_2Erat,i_mono_2Etyop_2Erat_2Erat(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Einteger_2Eint,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29,V1_2E0: mono_2Etyop_2Erat_2Erat] : ( s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Einteger_2Eint(V0_2E0,V1_2E0))) = s(tyop_2Einteger_2Eint,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Einteger_2Eint),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Einteger_2Eint_29(V0_2E0)),s(tyop_2Erat_2Erat,i_mono_2Etyop_2Erat_2Erat(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Enum_2Enum,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29,V1_2E0: mono_2Etyop_2Erat_2Erat] : ( s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Enum_2Enum(V0_2E0,V1_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Enum_2Enum),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Enum_2Enum_29(V0_2E0)),s(tyop_2Erat_2Erat,i_mono_2Etyop_2Erat_2Erat(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29,V1_2E0: mono_2Etyop_2Erat_2Erat] : ( s(tyop_2Erat_2Erat,i_mono_2Etyop_2Erat_2Erat(mono_2Eapp_2E2_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat(V0_2E0,V1_2E0))) = s(tyop_2Erat_2Erat,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29(V0_2E0)),s(tyop_2Erat_2Erat,i_mono_2Etyop_2Erat_2Erat(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2Epair_2E_2C_2E0_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint,axiom,
    s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29(mono_2Ec_2Epair_2E_2C_2E0_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint)) = s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint))),c_2Epair_2E_2C_2E0) ).

tff(monoeq_2Emono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint,axiom,
    ! [V0_2E0: mono_2Etyop_2Einteger_2Eint,V1_2E0: mono_2Etyop_2Einteger_2Eint] : ( s(tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),i_mono_2Etyop_2Epair_2Eprod_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(V0_2E0,V1_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),c_2Epair_2E_2C_2E2(s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(V0_2E0)),s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Efrac_2Efrac,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Efrac_2Efrac),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Efrac_2Efrac_29(mono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Efrac_2Efrac)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Efrac_2Efrac),c_2Emin_2E_40_2E0) ).

tff(monoeq_2Emono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Efrac_2Efrac,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29] : ( s(tyop_2Efrac_2Efrac,i_mono_2Etyop_2Efrac_2Efrac(mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Efrac_2Efrac(V0_2E0))) = s(tyop_2Efrac_2Efrac,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29(V0_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29(mono_2Ec_2Emin_2E_40_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),c_2Emin_2E_40_2E0) ).

tff(monoeq_2Emono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29] : ( s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29(mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29(V0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Einteger_2Eint,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Einteger_2Eint)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint))),c_2Ebool_2ECOND_2E0) ).

tff(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Einteger_2Eint,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Ebool,V1_2E0: mono_2Etyop_2Einteger_2Eint,V2_2E0: mono_2Etyop_2Einteger_2Eint] : ( s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Einteger_2Eint(V0_2E0,V1_2E0,V2_2E0))) = s(tyop_2Einteger_2Eint,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(V0_2E0)),s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(V1_2E0)),s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(V2_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Erat_2Erat,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Erat_2Erat)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat))),c_2Ebool_2ECOND_2E0) ).

tff(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Erat_2Erat,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Ebool,V1_2E0: mono_2Etyop_2Erat_2Erat,V2_2E0: mono_2Etyop_2Erat_2Erat] : ( s(tyop_2Erat_2Erat,i_mono_2Etyop_2Erat_2Erat(mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Erat_2Erat(V0_2E0,V1_2E0,V2_2E0))) = s(tyop_2Erat_2Erat,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(V0_2E0)),s(tyop_2Erat_2Erat,i_mono_2Etyop_2Erat_2Erat(V1_2E0)),s(tyop_2Erat_2Erat,i_mono_2Etyop_2Erat_2Erat(V2_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2Ecombin_2EI_2E0_2Emono_2Etyop_2Erat_2Erat,axiom,
    s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29(mono_2Ec_2Ecombin_2EI_2E0_2Emono_2Etyop_2Erat_2Erat)) = s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),c_2Ecombin_2EI_2E0) ).

tff(monoeq_2Emono_2Ec_2Ecombin_2EI_2E1_2Emono_2Etyop_2Erat_2Erat,axiom,
    ! [V0_2E0: mono_2Etyop_2Erat_2Erat] : ( s(tyop_2Erat_2Erat,i_mono_2Etyop_2Erat_2Erat(mono_2Ec_2Ecombin_2EI_2E1_2Emono_2Etyop_2Erat_2Erat(V0_2E0))) = s(tyop_2Erat_2Erat,c_2Ecombin_2EI_2E1(s(tyop_2Erat_2Erat,i_mono_2Etyop_2Erat_2Erat(V0_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2Ebool_2EONE__ONE_2E0_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2EONE__ONE_2E0_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),tyop_2Emin_2Ebool),c_2Ebool_2EONE__ONE_2E0) ).

tff(monoeq_2Emono_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat(V0_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Erat_2Erat_29(V0_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2Equotient_2EQUOTIENT_2E0_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),tyop_2Emin_2Ebool))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29_2Ctyop_2Emin_2Ebool_29_29_29(mono_2Ec_2Equotient_2EQUOTIENT_2E0_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),tyop_2Emin_2Ebool))),c_2Equotient_2EQUOTIENT_2E0) ).

tff(monoeq_2Emono_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29,V2_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat(V0_2E0,V1_2E0,V2_2E0))) = s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Erat_2Erat_29(V1_2E0)),s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Efrac_2Efrac),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Efrac_2Efrac_29(V2_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2Ebool_2ETYPE__DEFINITION_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29_29(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E0_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool)),c_2Ebool_2ETYPE__DEFINITION_2E0) ).

tff(monoeq_2Emono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_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_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Efrac_2Efrac,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2Erelation_2EWF_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Erelation_2EWF_2E0_2Emono_2Etyop_2Enum_2Enum)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),c_2Erelation_2EWF_2E0) ).

tff(monoeq_2Emono_2Ec_2Erelation_2EWF_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Erelation_2EWF_2E1_2Emono_2Etyop_2Enum_2Enum(V0_2E0))) = s(tyop_2Emin_2Ebool,c_2Erelation_2EWF_2E1(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2Erelation_2EWFREC_2E0_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat,axiom,
    s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29_29(mono_2Ec_2Erelation_2EWFREC_2E0_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat)) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat))),c_2Erelation_2EWFREC_2E0) ).

tff(monoeq_2Emono_2Ec_2Erelation_2EWFREC_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat,axiom,
    ! [V0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,V1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29] : ( s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29(mono_2Ec_2Erelation_2EWFREC_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat(V0_2E0,V1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),c_2Erelation_2EWFREC_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29(V0_2E0)),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29(V1_2E0)))) ) ).

tff(monoeq_2Emono_2Ec_2Earithmetic_2Enum__CASE_2E0_2Emono_2Etyop_2Erat_2Erat,axiom,
    s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Erat_2Erat))),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Erat_2Erat_29_29_29(mono_2Ec_2Earithmetic_2Enum__CASE_2E0_2Emono_2Etyop_2Erat_2Erat)) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Erat_2Erat,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),tyop_2Erat_2Erat))),c_2Earithmetic_2Enum__CASE_2E0) ).

tff(monoeq_2Emono_2Ec_2Earithmetic_2Enum__CASE_2E3_2Emono_2Etyop_2Erat_2Erat,axiom,
    ! [V0_2E0: mono_2Etyop_2Enum_2Enum,V1_2E0: mono_2Etyop_2Erat_2Erat,V2_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29] : ( s(tyop_2Erat_2Erat,i_mono_2Etyop_2Erat_2Erat(mono_2Ec_2Earithmetic_2Enum__CASE_2E3_2Emono_2Etyop_2Erat_2Erat(V0_2E0,V1_2E0,V2_2E0))) = s(tyop_2Erat_2Erat,c_2Earithmetic_2Enum__CASE_2E3(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(V0_2E0)),s(tyop_2Erat_2Erat,i_mono_2Etyop_2Erat_2Erat(V1_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erat_2Erat),i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29(V2_2E0)))) ) ).

tff(thm_2Erat_2Erat__equiv__def,axiom,
    ! [V0f1_2E0: mono_2Etyop_2Efrac_2Efrac,V1f2_2E0: mono_2Etyop_2Efrac_2Efrac] :
      ( p(mono_2Ec_2Erat_2Erat__equiv_2E2(V0f1_2E0,V1f2_2E0))
    <=> ( mono_2Ec_2Einteger_2Eint__mul_2E2(mono_2Ec_2Efrac_2Efrac__nmr_2E1(V0f1_2E0),mono_2Ec_2Efrac_2Efrac__dnm_2E1(V1f2_2E0)) = mono_2Ec_2Einteger_2Eint__mul_2E2(mono_2Ec_2Efrac_2Efrac__nmr_2E1(V1f2_2E0),mono_2Ec_2Efrac_2Efrac__dnm_2E1(V0f1_2E0)) ) ) ).

tff(thm_2Erat_2Erat__TY__DEF,axiom,
    ! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29] :
      ( ! [V1c_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29] :
          ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool(F0_2E0,V1c_2E0))
        <=> ? [V2r_2E0: mono_2Etyop_2Efrac_2Efrac] :
              ( p(mono_2Ec_2Erat_2Erat__equiv_2E2(V2r_2E0,V2r_2E0))
              & ( V1c_2E0 = mono_2Ec_2Erat_2Erat__equiv_2E1(V2r_2E0) ) ) )
     => ? [V0rep_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erat_2Erat_2Ctyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_29] : p(mono_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Erat_2Erat(F0_2E0,V0rep_2E0)) ) ).

tff(thm_2Erat_2Erat__bijections,axiom,
    ( ! [V0a_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Eabs__rat__CLASS_2E1(mono_2Ec_2Erat_2Erep__rat__CLASS_2E1(V0a_2E0)) = V0a_2E0 )
    & ! [V1r_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29] :
        ( ? [V2r_2E0: mono_2Etyop_2Efrac_2Efrac] :
            ( p(mono_2Ec_2Erat_2Erat__equiv_2E2(V2r_2E0,V2r_2E0))
            & ( V1r_2E0 = mono_2Ec_2Erat_2Erat__equiv_2E1(V2r_2E0) ) )
      <=> ( mono_2Ec_2Erat_2Erep__rat__CLASS_2E1(mono_2Ec_2Erat_2Eabs__rat__CLASS_2E1(V1r_2E0)) = V1r_2E0 ) ) ) ).

tff(thm_2Erat_2Erep__rat__def,axiom,
    ! [V0a_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erep__rat_2E1(V0a_2E0) = mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Efrac_2Efrac(mono_2Ec_2Erat_2Erep__rat__CLASS_2E1(V0a_2E0)) ) ).

tff(thm_2Erat_2Eabs__rat__def,axiom,
    ! [V0r_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Eabs__rat_2E1(V0r_2E0) = mono_2Ec_2Erat_2Eabs__rat__CLASS_2E1(mono_2Ec_2Erat_2Erat__equiv_2E1(V0r_2E0)) ) ).

tff(thm_2Erat_2Erat__nmr__def,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__nmr_2E1(V0r_2E0) = mono_2Ec_2Efrac_2Efrac__nmr_2E1(mono_2Ec_2Erat_2Erep__rat_2E1(V0r_2E0)) ) ).

tff(thm_2Erat_2Erat__dnm__def,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__dnm_2E1(V0r_2E0) = mono_2Ec_2Efrac_2Efrac__dnm_2E1(mono_2Ec_2Erat_2Erep__rat_2E1(V0r_2E0)) ) ).

tff(thm_2Erat_2Erat__sgn__def,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__sgn_2E1(V0r_2E0) = mono_2Ec_2Efrac_2Efrac__sgn_2E1(mono_2Ec_2Erat_2Erep__rat_2E1(V0r_2E0)) ) ).

tff(thm_2Erat_2Erat__0__def,axiom,
    mono_2Ec_2Erat_2Erat__0_2E0 = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__0_2E0) ).

tff(thm_2Erat_2Erat__1__def,axiom,
    mono_2Ec_2Erat_2Erat__1_2E0 = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__1_2E0) ).

tff(thm_2Erat_2Erat__ainv__def,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__ainv_2E1(V0r1_2E0) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__ainv_2E1(mono_2Ec_2Erat_2Erep__rat_2E1(V0r1_2E0))) ) ).

tff(thm_2Erat_2Erat__minv__def,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__minv_2E1(V0r1_2E0) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__minv_2E1(mono_2Ec_2Erat_2Erep__rat_2E1(V0r1_2E0))) ) ).

tff(thm_2Erat_2Erat__add__def,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__add_2E2(V0r1_2E0,V1r2_2E0) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__add_2E2(mono_2Ec_2Erat_2Erep__rat_2E1(V0r1_2E0),mono_2Ec_2Erat_2Erep__rat_2E1(V1r2_2E0))) ) ).

tff(thm_2Erat_2Erat__sub__def,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__sub_2E2(V0r1_2E0,V1r2_2E0) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__sub_2E2(mono_2Ec_2Erat_2Erep__rat_2E1(V0r1_2E0),mono_2Ec_2Erat_2Erep__rat_2E1(V1r2_2E0))) ) ).

tff(thm_2Erat_2Erat__mul__def,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__mul_2E2(V0r1_2E0,V1r2_2E0) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__mul_2E2(mono_2Ec_2Erat_2Erep__rat_2E1(V0r1_2E0),mono_2Ec_2Erat_2Erep__rat_2E1(V1r2_2E0))) ) ).

tff(thm_2Erat_2Erat__div__def,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__div_2E2(V0r1_2E0,V1r2_2E0) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__div_2E2(mono_2Ec_2Erat_2Erep__rat_2E1(V0r1_2E0),mono_2Ec_2Erat_2Erep__rat_2E1(V1r2_2E0))) ) ).

tff(thm_2Erat_2Erat__les__def,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,V1r2_2E0))
    <=> ( mono_2Ec_2Erat_2Erat__sgn_2E1(mono_2Ec_2Erat_2Erat__sub_2E2(V1r2_2E0,V0r1_2E0)) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) ) ) ).

tff(thm_2Erat_2Erat__gre__def,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__gre_2E2(V0r1_2E0,V1r2_2E0) = mono_2Ec_2Erat_2Erat__les_2E2(V1r2_2E0,V0r1_2E0) ) ).

tff(thm_2Erat_2Erat__leq__def,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__leq_2E2(V0r1_2E0,V1r2_2E0))
    <=> ( p(mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,V1r2_2E0))
        | ( V0r1_2E0 = V1r2_2E0 ) ) ) ).

tff(thm_2Erat_2Erat__geq__def,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__geq_2E2(V0r1_2E0,V1r2_2E0) = mono_2Ec_2Erat_2Erat__leq_2E2(V1r2_2E0,V0r1_2E0) ) ).

tff(thm_2Erat_2Erat__cons__def,axiom,
    ! [V0nmr_2E0: mono_2Etyop_2Einteger_2Eint,V1dnm_2E0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Erat_2Erat__cons_2E2(V0nmr_2E0,V1dnm_2E0) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Eabs__frac_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Ec_2Einteger_2Eint__mul_2E2(mono_2Ec_2Einteger_2Eint__mul_2E2(mono_2Ec_2EintExtension_2ESGN_2E1(V0nmr_2E0),mono_2Ec_2EintExtension_2ESGN_2E1(V1dnm_2E0)),mono_2Ec_2Einteger_2EABS_2E1(V0nmr_2E0)),mono_2Ec_2Einteger_2EABS_2E1(V1dnm_2E0)))) ) ).

tff(thm_2Erat_2Erat__of__num__primitive__def,axiom,
    ! [F3_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,F2_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,F1_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_29,F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Ebool_29] :
      ( ! [V2rat__of__num_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29,V5n_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29(F3_2E0,V2rat__of__num_2E0),V5n_2E0) = mono_2Ec_2Ecombin_2EI_2E1_2Emono_2Etyop_2Erat_2Erat(mono_2Ec_2Erat_2Erat__add_2E2(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat(V2rat__of__num_2E0,mono_2Ec_2Enum_2ESUC_2E1(V5n_2E0)),mono_2Ec_2Erat_2Erat__1_2E0)) )
     => ( ! [V2rat__of__num_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29,V4v_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29(F2_2E0,V2rat__of__num_2E0),V4v_2E0) = mono_2Ec_2Earithmetic_2Enum__CASE_2E3_2Emono_2Etyop_2Erat_2Erat(V4v_2E0,mono_2Ec_2Ecombin_2EI_2E1_2Emono_2Etyop_2Erat_2Erat(mono_2Ec_2Erat_2Erat__1_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29(F3_2E0,V2rat__of__num_2E0)) )
       => ( ! [V2rat__of__num_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29,V3a_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29(F1_2E0,V2rat__of__num_2E0),V3a_2E0) = mono_2Ec_2Earithmetic_2Enum__CASE_2E3_2Emono_2Etyop_2Erat_2Erat(V3a_2E0,mono_2Ec_2Ecombin_2EI_2E1_2Emono_2Etyop_2Erat_2Erat(mono_2Ec_2Erat_2Erat__0_2E0),mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erat_2Erat_29(F2_2E0,V2rat__of__num_2E0)) )
         => ( ! [V0R_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29] :
                ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool(F0_2E0,V0R_2E0))
              <=> ( p(mono_2Ec_2Erelation_2EWF_2E1_2Emono_2Etyop_2Enum_2Enum(V0R_2E0))
                  & ! [V1n_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(V0R_2E0,mono_2Ec_2Enum_2ESUC_2E1(V1n_2E0)),mono_2Ec_2Enum_2ESUC_2E1(mono_2Ec_2Enum_2ESUC_2E1(V1n_2E0)))) ) )
           => ( mono_2Ec_2Erat_2Erat__of__num_2E0 = mono_2Ec_2Erelation_2EWFREC_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erat_2Erat(mono_2Ec_2Emin_2E_40_2E1_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29(F0_2E0),F1_2E0) ) ) ) ) ) ).

tff(thm_2Erat_2Erat__of__int__def,axiom,
    ! [V0i_2E0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Erat_2Erat__of__int_2E1(V0i_2E0) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Erat_2Erat(mono_2Ec_2Einteger_2Eint__lt_2E2(V0i_2E0,mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)),mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Einteger_2ENum_2E1(mono_2Ec_2Einteger_2Eint__neg_2E1(V0i_2E0)))),mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Einteger_2ENum_2E1(V0i_2E0))) ) ).

tff(thm_2Erat_2ERATND__THM,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( V0r_2E0 = mono_2Ec_2Erat_2Erat__div_2E2(mono_2Ec_2Erat_2Erat__of__int_2E1(mono_2Ec_2Erat_2ERATN_2E1(V0r_2E0)),mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Erat_2ERATD_2E1(V0r_2E0))) )
      & p(mono_2Ec_2Eprim__rec_2E_3C_2E2(mono_2Ec_2Enum_2E0_2E0,mono_2Ec_2Erat_2ERATD_2E1(V0r_2E0)))
      & ( ( mono_2Ec_2Erat_2ERATN_2E1(V0r_2E0) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
       => ( mono_2Ec_2Erat_2ERATD_2E1(V0r_2E0) = mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)) ) )
      & ! [V1n_27_2E0: mono_2Etyop_2Einteger_2Eint,V2d_27_2E0: mono_2Etyop_2Enum_2Enum] :
          ( ( ( V0r_2E0 = mono_2Ec_2Erat_2Erat__div_2E2(mono_2Ec_2Erat_2Erat__of__int_2E1(V1n_27_2E0),mono_2Ec_2Erat_2Erat__of__num_2E1(V2d_27_2E0)) )
            & p(mono_2Ec_2Eprim__rec_2E_3C_2E2(mono_2Ec_2Enum_2E0_2E0,V2d_27_2E0)) )
         => p(mono_2Ec_2Einteger_2Eint__le_2E2(mono_2Ec_2Einteger_2EABS_2E1(mono_2Ec_2Erat_2ERATN_2E1(V0r_2E0)),mono_2Ec_2Einteger_2EABS_2E1(V1n_27_2E0))) ) ) ).

tff(thm_2Erat_2Erat__min__def,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__min_2E2(V0r1_2E0,V1r2_2E0) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Erat_2Erat(mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,V1r2_2E0),V0r1_2E0,V1r2_2E0) ) ).

tff(thm_2Erat_2Erat__max__def,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__max_2E2(V0r1_2E0,V1r2_2E0) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Erat_2Erat(mono_2Ec_2Erat_2Erat__gre_2E2(V0r1_2E0,V1r2_2E0),V0r1_2E0,V1r2_2E0) ) ).

tff(thm_2Erat_2ERAT__EQUIV__REF,axiom,
    ! [V0a_2E0: mono_2Etyop_2Efrac_2Efrac] : p(mono_2Ec_2Erat_2Erat__equiv_2E2(V0a_2E0,V0a_2E0)) ).

tff(thm_2Erat_2ERAT__EQUIV__SYM,axiom,
    ! [V0a_2E0: mono_2Etyop_2Efrac_2Efrac,V1b_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Erat__equiv_2E2(V0a_2E0,V1b_2E0) = mono_2Ec_2Erat_2Erat__equiv_2E2(V1b_2E0,V0a_2E0) ) ).

tff(thm_2Erat_2ERAT__EQUIV__NMR__Z__IFF,axiom,
    ! [V0a_2E0: mono_2Etyop_2Efrac_2Efrac,V1b_2E0: mono_2Etyop_2Efrac_2Efrac] :
      ( p(mono_2Ec_2Erat_2Erat__equiv_2E2(V0a_2E0,V1b_2E0))
     => ( ( mono_2Ec_2Efrac_2Efrac__nmr_2E1(V0a_2E0) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
      <=> ( mono_2Ec_2Efrac_2Efrac__nmr_2E1(V1b_2E0) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ) ) ).

tff(thm_2Erat_2ERAT__EQUIV__NMR__GTZ__IFF,axiom,
    ! [V0a_2E0: mono_2Etyop_2Efrac_2Efrac,V1b_2E0: mono_2Etyop_2Efrac_2Efrac] :
      ( p(mono_2Ec_2Erat_2Erat__equiv_2E2(V0a_2E0,V1b_2E0))
     => ( mono_2Ec_2Einteger_2Eint__gt_2E2(mono_2Ec_2Efrac_2Efrac__nmr_2E1(V0a_2E0),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Einteger_2Eint__gt_2E2(mono_2Ec_2Efrac_2Efrac__nmr_2E1(V1b_2E0),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__EQUIV__NMR__LTZ__IFF,axiom,
    ! [V0a_2E0: mono_2Etyop_2Efrac_2Efrac,V1b_2E0: mono_2Etyop_2Efrac_2Efrac] :
      ( p(mono_2Ec_2Erat_2Erat__equiv_2E2(V0a_2E0,V1b_2E0))
     => ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Efrac_2Efrac__nmr_2E1(V0a_2E0),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Efrac_2Efrac__nmr_2E1(V1b_2E0),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__NMR__Z__IFF__EQUIV,axiom,
    ! [V0a_2E0: mono_2Etyop_2Efrac_2Efrac,V1b_2E0: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Efrac_2Efrac__nmr_2E1(V0a_2E0) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
     => ( p(mono_2Ec_2Erat_2Erat__equiv_2E2(V0a_2E0,V1b_2E0))
      <=> ( mono_2Ec_2Efrac_2Efrac__nmr_2E1(V1b_2E0) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ) ) ).

tff(thm_2Erat_2ERAT__EQUIV__TRANS,axiom,
    ! [V0a_2E0: mono_2Etyop_2Efrac_2Efrac,V1b_2E0: mono_2Etyop_2Efrac_2Efrac,V2c_2E0: mono_2Etyop_2Efrac_2Efrac] :
      ( ( p(mono_2Ec_2Erat_2Erat__equiv_2E2(V0a_2E0,V1b_2E0))
        & p(mono_2Ec_2Erat_2Erat__equiv_2E2(V1b_2E0,V2c_2E0)) )
     => p(mono_2Ec_2Erat_2Erat__equiv_2E2(V0a_2E0,V2c_2E0)) ) ).

tff(thm_2Erat_2ERAT__EQUIV,axiom,
    ! [V0f1_2E0: mono_2Etyop_2Efrac_2Efrac,V1f2_2E0: mono_2Etyop_2Efrac_2Efrac] :
      ( p(mono_2Ec_2Erat_2Erat__equiv_2E2(V0f1_2E0,V1f2_2E0))
    <=> ( mono_2Ec_2Erat_2Erat__equiv_2E1(V0f1_2E0) = mono_2Ec_2Erat_2Erat__equiv_2E1(V1f2_2E0) ) ) ).

tff(thm_2Erat_2ERAT__EQUIV__ALT,axiom,
    ! [V0a_2E0: mono_2Etyop_2Efrac_2Efrac,V1x_2E0: mono_2Etyop_2Efrac_2Efrac] :
      ( p(mono_2Ec_2Erat_2Erat__equiv_2E2(V0a_2E0,V1x_2E0))
    <=> ? [V2b_2E0: mono_2Etyop_2Einteger_2Eint,V3c_2E0: mono_2Etyop_2Einteger_2Eint] :
          ( p(mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V2b_2E0))
          & p(mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V3c_2E0))
          & ( mono_2Ec_2Efrac_2Efrac__mul_2E2(V0a_2E0,mono_2Ec_2Efrac_2Eabs__frac_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(V2b_2E0,V2b_2E0))) = mono_2Ec_2Efrac_2Efrac__mul_2E2(V1x_2E0,mono_2Ec_2Efrac_2Eabs__frac_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(V3c_2E0,V3c_2E0))) ) ) ) ).

tff(thm_2Erat_2Erat__ABS__REP__CLASS,axiom,
    ( ! [V0a_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Eabs__rat__CLASS_2E1(mono_2Ec_2Erat_2Erep__rat__CLASS_2E1(V0a_2E0)) = V0a_2E0 )
    & ! [V1c_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Efrac_2Efrac_2Ctyop_2Emin_2Ebool_29] :
        ( ? [V2r_2E0: mono_2Etyop_2Efrac_2Efrac] :
            ( p(mono_2Ec_2Erat_2Erat__equiv_2E2(V2r_2E0,V2r_2E0))
            & ( V1c_2E0 = mono_2Ec_2Erat_2Erat__equiv_2E1(V2r_2E0) ) )
      <=> ( mono_2Ec_2Erat_2Erep__rat__CLASS_2E1(mono_2Ec_2Erat_2Eabs__rat__CLASS_2E1(V1c_2E0)) = V1c_2E0 ) ) ) ).

tff(thm_2Erat_2Erat__QUOTIENT,axiom,
    p(mono_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat(mono_2Ec_2Erat_2Erat__equiv_2E0,mono_2Ec_2Erat_2Eabs__rat_2E0,mono_2Ec_2Erat_2Erep__rat_2E0)) ).

tff(thm_2Erat_2Erat__def,axiom,
    p(mono_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2Etyop_2Efrac_2Efrac_20mono_2Etyop_2Erat_2Erat(mono_2Ec_2Erat_2Erat__equiv_2E0,mono_2Ec_2Erat_2Eabs__rat_2E0,mono_2Ec_2Erat_2Erep__rat_2E0)) ).

tff(thm_2Erat_2Erat__type__thm,axiom,
    ( ! [V0a_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Erat_2Erep__rat_2E1(V0a_2E0)) = V0a_2E0 )
    & ! [V1r_2E0: mono_2Etyop_2Efrac_2Efrac,V2s_2E0: mono_2Etyop_2Efrac_2Efrac] :
        ( p(mono_2Ec_2Erat_2Erat__equiv_2E2(V1r_2E0,V2s_2E0))
      <=> ( mono_2Ec_2Erat_2Eabs__rat_2E1(V1r_2E0) = mono_2Ec_2Erat_2Eabs__rat_2E1(V2s_2E0) ) ) ) ).

tff(thm_2Erat_2Erat__equiv__reps,axiom,
    ! [V0r2_2E0: mono_2Etyop_2Erat_2Erat,V1r1_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__equiv_2E2(mono_2Ec_2Erat_2Erep__rat_2E1(V1r1_2E0),mono_2Ec_2Erat_2Erep__rat_2E1(V0r2_2E0)))
    <=> ( V1r1_2E0 = V0r2_2E0 ) ) ).

tff(thm_2Erat_2Erat__equiv__rep__abs,axiom,
    ! [V0f_2E0: mono_2Etyop_2Efrac_2Efrac] : p(mono_2Ec_2Erat_2Erat__equiv_2E2(mono_2Ec_2Erat_2Erep__rat_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V0f_2E0)),V0f_2E0)) ).

tff(thm_2Erat_2Erat__of__num__ind,axiom,
    ! [V0P_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29] :
      ( ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,mono_2Ec_2Enum_2E0_2E0))
        & p(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,mono_2Ec_2Enum_2ESUC_2E1(mono_2Ec_2Enum_2E0_2E0)))
        & ! [V1n_2E0: mono_2Etyop_2Enum_2Enum] :
            ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,mono_2Ec_2Enum_2ESUC_2E1(V1n_2E0)))
           => p(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,mono_2Ec_2Enum_2ESUC_2E1(mono_2Ec_2Enum_2ESUC_2E1(V1n_2E0)))) ) )
     => ! [V2v_2E0: mono_2Etyop_2Enum_2Enum] : p(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(V0P_2E0,V2v_2E0)) ) ).

tff(thm_2Erat_2Erat__of__num__def,axiom,
    ( ( mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) = mono_2Ec_2Erat_2Erat__0_2E0 )
    & ( mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2ESUC_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Erat_2Erat__1_2E0 )
    & ! [V0n_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2ESUC_2E1(mono_2Ec_2Enum_2ESUC_2E1(V0n_2E0))) = mono_2Ec_2Erat_2Erat__add_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2ESUC_2E1(V0n_2E0)),mono_2Ec_2Erat_2Erat__1_2E0) ) ) ).

tff(thm_2Erat_2Erat__of__num__def__compute,axiom,
    ( ( mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) = mono_2Ec_2Erat_2Erat__0_2E0 )
    & ( mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2ESUC_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Erat_2Erat__1_2E0 )
    & ! [V0n_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2ESUC_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(V0n_2E0)))) = mono_2Ec_2Erat_2Erat__add_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(V0n_2E0))),mono_2Ec_2Erat_2Erat__1_2E0) )
    & ! [V1n_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2ESUC_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(V1n_2E0)))) = mono_2Ec_2Erat_2Erat__add_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(V1n_2E0))),mono_2Ec_2Erat_2Erat__1_2E0) ) ) ).

tff(thm_2Erat_2Erat__0,axiom,
    mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__0_2E0) ).

tff(thm_2Erat_2Erat__1,axiom,
    mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__1_2E0) ).

tff(thm_2Erat_2ERAT,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Erat_2Erep__rat_2E1(V0r_2E0)) = V0r_2E0 ) ).

tff(thm_2Erat_2ERAT__ABS__EQUIV,axiom,
    ! [V0f1_2E0: mono_2Etyop_2Efrac_2Efrac,V1f2_2E0: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Eabs__rat_2E1(V0f1_2E0) = mono_2Ec_2Erat_2Eabs__rat_2E1(V1f2_2E0) )
    <=> p(mono_2Ec_2Erat_2Erat__equiv_2E2(V0f1_2E0,V1f2_2E0)) ) ).

tff(thm_2Erat_2ERAT__EQ,axiom,
    ! [V0f1_2E0: mono_2Etyop_2Efrac_2Efrac,V1f2_2E0: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Eabs__rat_2E1(V0f1_2E0) = mono_2Ec_2Erat_2Eabs__rat_2E1(V1f2_2E0) )
    <=> ( mono_2Ec_2Einteger_2Eint__mul_2E2(mono_2Ec_2Efrac_2Efrac__nmr_2E1(V0f1_2E0),mono_2Ec_2Efrac_2Efrac__dnm_2E1(V1f2_2E0)) = mono_2Ec_2Einteger_2Eint__mul_2E2(mono_2Ec_2Efrac_2Efrac__nmr_2E1(V1f2_2E0),mono_2Ec_2Efrac_2Efrac__dnm_2E1(V0f1_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__EQ__ALT,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( V0r1_2E0 = V1r2_2E0 )
    <=> ( mono_2Ec_2Einteger_2Eint__mul_2E2(mono_2Ec_2Erat_2Erat__nmr_2E1(V0r1_2E0),mono_2Ec_2Erat_2Erat__dnm_2E1(V1r2_2E0)) = mono_2Ec_2Einteger_2Eint__mul_2E2(mono_2Ec_2Erat_2Erat__nmr_2E1(V1r2_2E0),mono_2Ec_2Erat_2Erat__dnm_2E1(V0r1_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__NMREQ0__CONG,axiom,
    ! [V0f1_2E0: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Efrac_2Efrac__nmr_2E1(mono_2Ec_2Erat_2Erep__rat_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V0f1_2E0))) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
    <=> ( mono_2Ec_2Efrac_2Efrac__nmr_2E1(V0f1_2E0) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ) ).

tff(thm_2Erat_2ERAT__NMRLT0__CONG,axiom,
    ! [V0f1_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Efrac_2Efrac__nmr_2E1(mono_2Ec_2Erat_2Erep__rat_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V0f1_2E0))),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Efrac_2Efrac__nmr_2E1(V0f1_2E0),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) ) ).

tff(thm_2Erat_2ERAT__NMRGT0__CONG,axiom,
    ! [V0f1_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Einteger_2Eint__gt_2E2(mono_2Ec_2Efrac_2Efrac__nmr_2E1(mono_2Ec_2Erat_2Erep__rat_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V0f1_2E0))),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Einteger_2Eint__gt_2E2(mono_2Ec_2Efrac_2Efrac__nmr_2E1(V0f1_2E0),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) ) ).

tff(thm_2Erat_2ERAT__SGN__CONG,axiom,
    ! [V0f1_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Efrac_2Efrac__sgn_2E1(mono_2Ec_2Erat_2Erep__rat_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V0f1_2E0))) = mono_2Ec_2Efrac_2Efrac__sgn_2E1(V0f1_2E0) ) ).

tff(thm_2Erat_2ERAT__AINV__CONG,axiom,
    ! [V0x_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__ainv_2E1(mono_2Ec_2Erat_2Erep__rat_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V0x_2E0)))) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__ainv_2E1(V0x_2E0)) ) ).

tff(thm_2Erat_2EFRAC__MINV__EQUIV,axiom,
    ! [V0y_2E0: mono_2Etyop_2Efrac_2Efrac,V1x_2E0: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Efrac_2Efrac__nmr_2E1(V0y_2E0) != mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
     => ( p(mono_2Ec_2Erat_2Erat__equiv_2E2(V1x_2E0,V0y_2E0))
       => p(mono_2Ec_2Erat_2Erat__equiv_2E2(mono_2Ec_2Efrac_2Efrac__minv_2E1(V1x_2E0),mono_2Ec_2Efrac_2Efrac__minv_2E1(V0y_2E0))) ) ) ).

tff(thm_2Erat_2ERAT__MINV__CONG,axiom,
    ! [V0x_2E0: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Efrac_2Efrac__nmr_2E1(V0x_2E0) != mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
     => ( mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__minv_2E1(mono_2Ec_2Erat_2Erep__rat_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V0x_2E0)))) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__minv_2E1(V0x_2E0)) ) ) ).

tff(thm_2Erat_2EFRAC__ADD__EQUIV1,axiom,
    ! [V0y_2E0: mono_2Etyop_2Efrac_2Efrac,V1x_27_2E0: mono_2Etyop_2Efrac_2Efrac,V2x_2E0: mono_2Etyop_2Efrac_2Efrac] :
      ( p(mono_2Ec_2Erat_2Erat__equiv_2E2(V2x_2E0,V1x_27_2E0))
     => p(mono_2Ec_2Erat_2Erat__equiv_2E2(mono_2Ec_2Efrac_2Efrac__add_2E2(V2x_2E0,V0y_2E0),mono_2Ec_2Efrac_2Efrac__add_2E2(V1x_27_2E0,V0y_2E0))) ) ).

tff(thm_2Erat_2ERAT__ADD__CONG1,axiom,
    ! [V0x_2E0: mono_2Etyop_2Efrac_2Efrac,V1y_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__add_2E2(mono_2Ec_2Erat_2Erep__rat_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V0x_2E0)),V1y_2E0)) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__add_2E2(V0x_2E0,V1y_2E0)) ) ).

tff(thm_2Erat_2ERAT__ADD__CONG2,axiom,
    ! [V0x_2E0: mono_2Etyop_2Efrac_2Efrac,V1y_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__add_2E2(V0x_2E0,mono_2Ec_2Erat_2Erep__rat_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V1y_2E0)))) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__add_2E2(V0x_2E0,V1y_2E0)) ) ).

tff(thm_2Erat_2ERAT__ADD__CONG,axiom,
    ( ! [V0x_2E0: mono_2Etyop_2Efrac_2Efrac,V1y_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__add_2E2(mono_2Ec_2Erat_2Erep__rat_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V0x_2E0)),V1y_2E0)) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__add_2E2(V0x_2E0,V1y_2E0)) )
    & ! [V2x_2E0: mono_2Etyop_2Efrac_2Efrac,V3y_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__add_2E2(V2x_2E0,mono_2Ec_2Erat_2Erep__rat_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V3y_2E0)))) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__add_2E2(V2x_2E0,V3y_2E0)) ) ) ).

tff(thm_2Erat_2EFRAC__MUL__EQUIV1,axiom,
    ! [V0y_2E0: mono_2Etyop_2Efrac_2Efrac,V1x_27_2E0: mono_2Etyop_2Efrac_2Efrac,V2x_2E0: mono_2Etyop_2Efrac_2Efrac] :
      ( p(mono_2Ec_2Erat_2Erat__equiv_2E2(V2x_2E0,V1x_27_2E0))
     => p(mono_2Ec_2Erat_2Erat__equiv_2E2(mono_2Ec_2Efrac_2Efrac__mul_2E2(V2x_2E0,V0y_2E0),mono_2Ec_2Efrac_2Efrac__mul_2E2(V1x_27_2E0,V0y_2E0))) ) ).

tff(thm_2Erat_2EFRAC__MUL__EQUIV2,axiom,
    ! [V0y_2E0: mono_2Etyop_2Efrac_2Efrac,V1x_27_2E0: mono_2Etyop_2Efrac_2Efrac,V2x_2E0: mono_2Etyop_2Efrac_2Efrac] :
      ( p(mono_2Ec_2Erat_2Erat__equiv_2E2(V2x_2E0,V1x_27_2E0))
     => p(mono_2Ec_2Erat_2Erat__equiv_2E2(mono_2Ec_2Efrac_2Efrac__mul_2E2(V0y_2E0,V2x_2E0),mono_2Ec_2Efrac_2Efrac__mul_2E2(V0y_2E0,V1x_27_2E0))) ) ).

tff(thm_2Erat_2ERAT__MUL__CONG1,axiom,
    ! [V0x_2E0: mono_2Etyop_2Efrac_2Efrac,V1y_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__mul_2E2(mono_2Ec_2Erat_2Erep__rat_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V0x_2E0)),V1y_2E0)) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__mul_2E2(V0x_2E0,V1y_2E0)) ) ).

tff(thm_2Erat_2ERAT__MUL__CONG2,axiom,
    ! [V0x_2E0: mono_2Etyop_2Efrac_2Efrac,V1y_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__mul_2E2(V0x_2E0,mono_2Ec_2Erat_2Erep__rat_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V1y_2E0)))) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__mul_2E2(V0x_2E0,V1y_2E0)) ) ).

tff(thm_2Erat_2ERAT__MUL__CONG,axiom,
    ( ! [V0x_2E0: mono_2Etyop_2Efrac_2Efrac,V1y_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__mul_2E2(mono_2Ec_2Erat_2Erep__rat_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V0x_2E0)),V1y_2E0)) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__mul_2E2(V0x_2E0,V1y_2E0)) )
    & ! [V2x_2E0: mono_2Etyop_2Efrac_2Efrac,V3y_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__mul_2E2(V2x_2E0,mono_2Ec_2Erat_2Erep__rat_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V3y_2E0)))) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__mul_2E2(V2x_2E0,V3y_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__SUB__CONG1,axiom,
    ! [V0x_2E0: mono_2Etyop_2Efrac_2Efrac,V1y_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__sub_2E2(mono_2Ec_2Erat_2Erep__rat_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V0x_2E0)),V1y_2E0)) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__sub_2E2(V0x_2E0,V1y_2E0)) ) ).

tff(thm_2Erat_2ERAT__SUB__CONG2,axiom,
    ! [V0x_2E0: mono_2Etyop_2Efrac_2Efrac,V1y_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__sub_2E2(V0x_2E0,mono_2Ec_2Erat_2Erep__rat_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V1y_2E0)))) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__sub_2E2(V0x_2E0,V1y_2E0)) ) ).

tff(thm_2Erat_2ERAT__SUB__CONG,axiom,
    ( ! [V0x_2E0: mono_2Etyop_2Efrac_2Efrac,V1y_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__sub_2E2(mono_2Ec_2Erat_2Erep__rat_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V0x_2E0)),V1y_2E0)) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__sub_2E2(V0x_2E0,V1y_2E0)) )
    & ! [V2x_2E0: mono_2Etyop_2Efrac_2Efrac,V3y_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__sub_2E2(V2x_2E0,mono_2Ec_2Erat_2Erep__rat_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V3y_2E0)))) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__sub_2E2(V2x_2E0,V3y_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__DIV__CONG1,axiom,
    ! [V0x_2E0: mono_2Etyop_2Efrac_2Efrac,V1y_2E0: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Efrac_2Efrac__nmr_2E1(V1y_2E0) != mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
     => ( mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__div_2E2(mono_2Ec_2Erat_2Erep__rat_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V0x_2E0)),V1y_2E0)) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__div_2E2(V0x_2E0,V1y_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__DIV__CONG2,axiom,
    ! [V0x_2E0: mono_2Etyop_2Efrac_2Efrac,V1y_2E0: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Efrac_2Efrac__nmr_2E1(V1y_2E0) != mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
     => ( mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__div_2E2(V0x_2E0,mono_2Ec_2Erat_2Erep__rat_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V1y_2E0)))) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__div_2E2(V0x_2E0,V1y_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__DIV__CONG,axiom,
    ( ! [V0x_2E0: mono_2Etyop_2Efrac_2Efrac,V1y_2E0: mono_2Etyop_2Efrac_2Efrac] :
        ( ( mono_2Ec_2Efrac_2Efrac__nmr_2E1(V1y_2E0) != mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
       => ( mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__div_2E2(mono_2Ec_2Erat_2Erep__rat_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V0x_2E0)),V1y_2E0)) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__div_2E2(V0x_2E0,V1y_2E0)) ) )
    & ! [V2x_2E0: mono_2Etyop_2Efrac_2Efrac,V3y_2E0: mono_2Etyop_2Efrac_2Efrac] :
        ( ( mono_2Ec_2Efrac_2Efrac__nmr_2E1(V3y_2E0) != mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
       => ( mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__div_2E2(V2x_2E0,mono_2Ec_2Erat_2Erep__rat_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V3y_2E0)))) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__div_2E2(V2x_2E0,V3y_2E0)) ) ) ) ).

tff(thm_2Erat_2ERAT__NMRDNM__EQ,axiom,
    ! [V0f1_2E0: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Eabs__frac_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Ec_2Efrac_2Efrac__nmr_2E1(V0f1_2E0),mono_2Ec_2Efrac_2Efrac__dnm_2E1(V0f1_2E0)))) = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) )
    <=> ( mono_2Ec_2Efrac_2Efrac__nmr_2E1(V0f1_2E0) = mono_2Ec_2Efrac_2Efrac__dnm_2E1(V0f1_2E0) ) ) ).

tff(thm_2Erat_2ERAT__AINV__CALCULATE,axiom,
    ! [V0f1_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V0f1_2E0)) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__ainv_2E1(V0f1_2E0)) ) ).

tff(thm_2Erat_2ERAT__MINV__CALCULATE,axiom,
    ! [V0f1_2E0: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) != mono_2Ec_2Efrac_2Efrac__nmr_2E1(V0f1_2E0) )
     => ( mono_2Ec_2Erat_2Erat__minv_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V0f1_2E0)) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__minv_2E1(V0f1_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__ADD__CALCULATE,axiom,
    ! [V0f1_2E0: mono_2Etyop_2Efrac_2Efrac,V1f2_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Erat__add_2E2(mono_2Ec_2Erat_2Eabs__rat_2E1(V0f1_2E0),mono_2Ec_2Erat_2Eabs__rat_2E1(V1f2_2E0)) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__add_2E2(V0f1_2E0,V1f2_2E0)) ) ).

tff(thm_2Erat_2ERAT__SUB__CALCULATE,axiom,
    ! [V0f1_2E0: mono_2Etyop_2Efrac_2Efrac,V1f2_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Erat__sub_2E2(mono_2Ec_2Erat_2Eabs__rat_2E1(V0f1_2E0),mono_2Ec_2Erat_2Eabs__rat_2E1(V1f2_2E0)) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__sub_2E2(V0f1_2E0,V1f2_2E0)) ) ).

tff(thm_2Erat_2ERAT__MUL__CALCULATE,axiom,
    ! [V0f1_2E0: mono_2Etyop_2Efrac_2Efrac,V1f2_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Erat__mul_2E2(mono_2Ec_2Erat_2Eabs__rat_2E1(V0f1_2E0),mono_2Ec_2Erat_2Eabs__rat_2E1(V1f2_2E0)) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__mul_2E2(V0f1_2E0,V1f2_2E0)) ) ).

tff(thm_2Erat_2ERAT__DIV__CALCULATE,axiom,
    ! [V0f1_2E0: mono_2Etyop_2Efrac_2Efrac,V1f2_2E0: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Efrac_2Efrac__nmr_2E1(V1f2_2E0) != mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
     => ( mono_2Ec_2Erat_2Erat__div_2E2(mono_2Ec_2Erat_2Eabs__rat_2E1(V0f1_2E0),mono_2Ec_2Erat_2Eabs__rat_2E1(V1f2_2E0)) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__div_2E2(V0f1_2E0,V1f2_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__EQ__CALCULATE,axiom,
    ! [V0f1_2E0: mono_2Etyop_2Efrac_2Efrac,V1f2_2E0: mono_2Etyop_2Efrac_2Efrac] :
      ( ( mono_2Ec_2Erat_2Eabs__rat_2E1(V0f1_2E0) = mono_2Ec_2Erat_2Eabs__rat_2E1(V1f2_2E0) )
    <=> ( mono_2Ec_2Einteger_2Eint__mul_2E2(mono_2Ec_2Efrac_2Efrac__nmr_2E1(V0f1_2E0),mono_2Ec_2Efrac_2Efrac__dnm_2E1(V1f2_2E0)) = mono_2Ec_2Einteger_2Eint__mul_2E2(mono_2Ec_2Efrac_2Efrac__nmr_2E1(V1f2_2E0),mono_2Ec_2Efrac_2Efrac__dnm_2E1(V0f1_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__LES__CALCULATE,axiom,
    ! [V0f1_2E0: mono_2Etyop_2Efrac_2Efrac,V1f2_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Eabs__rat_2E1(V0f1_2E0),mono_2Ec_2Erat_2Eabs__rat_2E1(V1f2_2E0)) = mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__mul_2E2(mono_2Ec_2Efrac_2Efrac__nmr_2E1(V0f1_2E0),mono_2Ec_2Efrac_2Efrac__dnm_2E1(V1f2_2E0)),mono_2Ec_2Einteger_2Eint__mul_2E2(mono_2Ec_2Efrac_2Efrac__nmr_2E1(V1f2_2E0),mono_2Ec_2Efrac_2Efrac__dnm_2E1(V0f1_2E0))) ) ).

tff(thm_2Erat_2ERAT__LEQ__CALCULATE,axiom,
    ! [V0f1_2E0: mono_2Etyop_2Efrac_2Efrac,V1f2_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Erat__leq_2E2(mono_2Ec_2Erat_2Eabs__rat_2E1(V0f1_2E0),mono_2Ec_2Erat_2Eabs__rat_2E1(V1f2_2E0)) = mono_2Ec_2Einteger_2Eint__le_2E2(mono_2Ec_2Einteger_2Eint__mul_2E2(mono_2Ec_2Efrac_2Efrac__nmr_2E1(V0f1_2E0),mono_2Ec_2Efrac_2Efrac__dnm_2E1(V1f2_2E0)),mono_2Ec_2Einteger_2Eint__mul_2E2(mono_2Ec_2Efrac_2Efrac__nmr_2E1(V1f2_2E0),mono_2Ec_2Efrac_2Efrac__dnm_2E1(V0f1_2E0))) ) ).

tff(thm_2Erat_2ERAT__OF__NUM__CALCULATE,axiom,
    ! [V0n1_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Erat_2Erat__of__num_2E1(V0n1_2E0) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Eabs__frac_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Ec_2Einteger_2Eint__of__num_2E1(V0n1_2E0),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))))) ) ).

tff(thm_2Erat_2ERAT__OF__NUM__LEQ,axiom,
    ! [V0b_2E0: mono_2Etyop_2Enum_2Enum,V1a_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Erat_2Erat__leq_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(V1a_2E0),mono_2Ec_2Erat_2Erat__of__num_2E1(V0b_2E0)) = mono_2Ec_2Earithmetic_2E_3C_3D_2E2(V1a_2E0,V0b_2E0) ) ).

tff(thm_2Erat_2ERAT__OF__NUM__LES,axiom,
    ! [V0b_2E0: mono_2Etyop_2Enum_2Enum,V1a_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(V1a_2E0),mono_2Ec_2Erat_2Erat__of__num_2E1(V0b_2E0)) = mono_2Ec_2Eprim__rec_2E_3C_2E2(V1a_2E0,V0b_2E0) ) ).

tff(thm_2Erat_2ERAT__EQ0__NMR,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( V0r1_2E0 = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
    <=> ( mono_2Ec_2Erat_2Erat__nmr_2E1(V0r1_2E0) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ) ).

tff(thm_2Erat_2ERAT__0LES__NMR,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0r1_2E0) = mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Erat_2Erat__nmr_2E1(V0r1_2E0)) ) ).

tff(thm_2Erat_2ERAT__LES0__NMR,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Erat_2Erat__nmr_2E1(V0r1_2E0),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) ) ).

tff(thm_2Erat_2ERAT__0LEQ__NMR,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__leq_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0r1_2E0) = mono_2Ec_2Einteger_2Eint__le_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Erat_2Erat__nmr_2E1(V0r1_2E0)) ) ).

tff(thm_2Erat_2ERAT__LEQ0__NMR,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__leq_2E2(V0r1_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Einteger_2Eint__le_2E2(mono_2Ec_2Erat_2Erat__nmr_2E1(V0r1_2E0),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) ) ).

tff(thm_2Erat_2ERAT__ADD__ASSOC,axiom,
    ! [V0a_2E0: mono_2Etyop_2Erat_2Erat,V1b_2E0: mono_2Etyop_2Erat_2Erat,V2c_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__add_2E2(V0a_2E0,mono_2Ec_2Erat_2Erat__add_2E2(V1b_2E0,V2c_2E0)) = mono_2Ec_2Erat_2Erat__add_2E2(mono_2Ec_2Erat_2Erat__add_2E2(V0a_2E0,V1b_2E0),V2c_2E0) ) ).

tff(thm_2Erat_2ERAT__MUL__ASSOC,axiom,
    ! [V0a_2E0: mono_2Etyop_2Erat_2Erat,V1b_2E0: mono_2Etyop_2Erat_2Erat,V2c_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__mul_2E2(V0a_2E0,mono_2Ec_2Erat_2Erat__mul_2E2(V1b_2E0,V2c_2E0)) = mono_2Ec_2Erat_2Erat__mul_2E2(mono_2Ec_2Erat_2Erat__mul_2E2(V0a_2E0,V1b_2E0),V2c_2E0) ) ).

tff(thm_2Erat_2ERAT__ADD__COMM,axiom,
    ! [V0a_2E0: mono_2Etyop_2Erat_2Erat,V1b_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__add_2E2(V0a_2E0,V1b_2E0) = mono_2Ec_2Erat_2Erat__add_2E2(V1b_2E0,V0a_2E0) ) ).

tff(thm_2Erat_2ERAT__MUL__COMM,axiom,
    ! [V0a_2E0: mono_2Etyop_2Erat_2Erat,V1b_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__mul_2E2(V0a_2E0,V1b_2E0) = mono_2Ec_2Erat_2Erat__mul_2E2(V1b_2E0,V0a_2E0) ) ).

tff(thm_2Erat_2ERAT__ADD__RID,axiom,
    ! [V0a_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__add_2E2(V0a_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = V0a_2E0 ) ).

tff(thm_2Erat_2ERAT__ADD__LID,axiom,
    ! [V0a_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__add_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0a_2E0) = V0a_2E0 ) ).

tff(thm_2Erat_2ERAT__MUL__RID,axiom,
    ! [V0a_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__mul_2E2(V0a_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))) = V0a_2E0 ) ).

tff(thm_2Erat_2ERAT__MUL__LID,axiom,
    ! [V0a_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__mul_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))),V0a_2E0) = V0a_2E0 ) ).

tff(thm_2Erat_2ERAT__ADD__RINV,axiom,
    ! [V0a_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__add_2E2(V0a_2E0,mono_2Ec_2Erat_2Erat__ainv_2E1(V0a_2E0)) = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ).

tff(thm_2Erat_2ERAT__ADD__LINV,axiom,
    ! [V0a_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__add_2E2(mono_2Ec_2Erat_2Erat__ainv_2E1(V0a_2E0),V0a_2E0) = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ).

tff(thm_2Erat_2ERAT__MUL__RINV,axiom,
    ! [V0a_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( V0a_2E0 != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
     => ( mono_2Ec_2Erat_2Erat__mul_2E2(V0a_2E0,mono_2Ec_2Erat_2Erat__minv_2E1(V0a_2E0)) = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) ) ) ).

tff(thm_2Erat_2ERAT__MUL__LINV,axiom,
    ! [V0a_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( V0a_2E0 != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
     => ( mono_2Ec_2Erat_2Erat__mul_2E2(mono_2Ec_2Erat_2Erat__minv_2E1(V0a_2E0),V0a_2E0) = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) ) ) ).

tff(thm_2Erat_2ERAT__RDISTRIB,axiom,
    ! [V0a_2E0: mono_2Etyop_2Erat_2Erat,V1b_2E0: mono_2Etyop_2Erat_2Erat,V2c_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__mul_2E2(mono_2Ec_2Erat_2Erat__add_2E2(V0a_2E0,V1b_2E0),V2c_2E0) = mono_2Ec_2Erat_2Erat__add_2E2(mono_2Ec_2Erat_2Erat__mul_2E2(V0a_2E0,V2c_2E0),mono_2Ec_2Erat_2Erat__mul_2E2(V1b_2E0,V2c_2E0)) ) ).

tff(thm_2Erat_2ERAT__LDISTRIB,axiom,
    ! [V0a_2E0: mono_2Etyop_2Erat_2Erat,V1b_2E0: mono_2Etyop_2Erat_2Erat,V2c_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__mul_2E2(V2c_2E0,mono_2Ec_2Erat_2Erat__add_2E2(V0a_2E0,V1b_2E0)) = mono_2Ec_2Erat_2Erat__add_2E2(mono_2Ec_2Erat_2Erat__mul_2E2(V2c_2E0,V0a_2E0),mono_2Ec_2Erat_2Erat__mul_2E2(V2c_2E0,V1b_2E0)) ) ).

tff(thm_2Erat_2ERAT__1__NOT__0,axiom,
    mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ).

tff(thm_2Erat_2ERAT__MUL__LZERO,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__mul_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0r1_2E0) = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ).

tff(thm_2Erat_2ERAT__MUL__RZERO,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__mul_2E2(V0r1_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ).

tff(thm_2Erat_2ERAT__SUB__ADDAINV,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__sub_2E2(V0r1_2E0,V1r2_2E0) = mono_2Ec_2Erat_2Erat__add_2E2(V0r1_2E0,mono_2Ec_2Erat_2Erat__ainv_2E1(V1r2_2E0)) ) ).

tff(thm_2Erat_2ERAT__DIV__MULMINV,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__div_2E2(V0r1_2E0,V1r2_2E0) = mono_2Ec_2Erat_2Erat__mul_2E2(V0r1_2E0,mono_2Ec_2Erat_2Erat__minv_2E1(V1r2_2E0)) ) ).

tff(thm_2Erat_2ERAT__DIV__0,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__div_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0) = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ).

tff(thm_2Erat_2ERAT__AINV__0,axiom,
    mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ).

tff(thm_2Erat_2ERAT__AINV__AINV,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__ainv_2E1(V0r1_2E0)) = V0r1_2E0 ) ).

tff(thm_2Erat_2ERAT__AINV__ADD,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__add_2E2(V0r1_2E0,V1r2_2E0)) = mono_2Ec_2Erat_2Erat__add_2E2(mono_2Ec_2Erat_2Erat__ainv_2E1(V0r1_2E0),mono_2Ec_2Erat_2Erat__ainv_2E1(V1r2_2E0)) ) ).

tff(thm_2Erat_2ERAT__AINV__SUB,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__sub_2E2(V0r1_2E0,V1r2_2E0)) = mono_2Ec_2Erat_2Erat__sub_2E2(V1r2_2E0,V0r1_2E0) ) ).

tff(thm_2Erat_2ERAT__AINV__RMUL,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__mul_2E2(V0r1_2E0,V1r2_2E0)) = mono_2Ec_2Erat_2Erat__mul_2E2(V0r1_2E0,mono_2Ec_2Erat_2Erat__ainv_2E1(V1r2_2E0)) ) ).

tff(thm_2Erat_2ERAT__AINV__LMUL,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__mul_2E2(V0r1_2E0,V1r2_2E0)) = mono_2Ec_2Erat_2Erat__mul_2E2(mono_2Ec_2Erat_2Erat__ainv_2E1(V0r1_2E0),V1r2_2E0) ) ).

tff(thm_2Erat_2ERAT__AINV__EQ,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__ainv_2E1(V0r1_2E0) = V1r2_2E0 )
    <=> ( V0r1_2E0 = mono_2Ec_2Erat_2Erat__ainv_2E1(V1r2_2E0) ) ) ).

tff(thm_2Erat_2ERAT__EQ__AINV,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__ainv_2E1(V0r1_2E0) = mono_2Ec_2Erat_2Erat__ainv_2E1(V1r2_2E0) )
    <=> ( V0r1_2E0 = V1r2_2E0 ) ) ).

tff(thm_2Erat_2ERAT__AINV__MINV,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( V0r1_2E0 != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
     => ( mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__minv_2E1(V0r1_2E0)) = mono_2Ec_2Erat_2Erat__minv_2E1(mono_2Ec_2Erat_2Erat__ainv_2E1(V0r1_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__SUB__RDISTRIB,axiom,
    ! [V0a_2E0: mono_2Etyop_2Erat_2Erat,V1b_2E0: mono_2Etyop_2Erat_2Erat,V2c_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__mul_2E2(mono_2Ec_2Erat_2Erat__sub_2E2(V0a_2E0,V1b_2E0),V2c_2E0) = mono_2Ec_2Erat_2Erat__sub_2E2(mono_2Ec_2Erat_2Erat__mul_2E2(V0a_2E0,V2c_2E0),mono_2Ec_2Erat_2Erat__mul_2E2(V1b_2E0,V2c_2E0)) ) ).

tff(thm_2Erat_2ERAT__SUB__LDISTRIB,axiom,
    ! [V0a_2E0: mono_2Etyop_2Erat_2Erat,V1b_2E0: mono_2Etyop_2Erat_2Erat,V2c_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__mul_2E2(V2c_2E0,mono_2Ec_2Erat_2Erat__sub_2E2(V0a_2E0,V1b_2E0)) = mono_2Ec_2Erat_2Erat__sub_2E2(mono_2Ec_2Erat_2Erat__mul_2E2(V2c_2E0,V0a_2E0),mono_2Ec_2Erat_2Erat__mul_2E2(V2c_2E0,V1b_2E0)) ) ).

tff(thm_2Erat_2ERAT__SUB__LID,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__sub_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0r1_2E0) = mono_2Ec_2Erat_2Erat__ainv_2E1(V0r1_2E0) ) ).

tff(thm_2Erat_2ERAT__SUB__RID,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__sub_2E2(V0r1_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = V0r1_2E0 ) ).

tff(thm_2Erat_2ERAT__SUB__ID,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__sub_2E2(V0r_2E0,V0r_2E0) = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ).

tff(thm_2Erat_2ERAT__EQ__SUB0,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__sub_2E2(V0r1_2E0,V1r2_2E0) = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
    <=> ( V0r1_2E0 = V1r2_2E0 ) ) ).

tff(thm_2Erat_2ERAT__EQ__0SUB,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) = mono_2Ec_2Erat_2Erat__sub_2E2(V0r1_2E0,V1r2_2E0) )
    <=> ( V0r1_2E0 = V1r2_2E0 ) ) ).

tff(thm_2Erat_2ERAT__SGN__CALCULATE,axiom,
    ! [V0f1_2E0: mono_2Etyop_2Efrac_2Efrac] : ( mono_2Ec_2Erat_2Erat__sgn_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(V0f1_2E0)) = mono_2Ec_2Efrac_2Efrac__sgn_2E1(V0f1_2E0) ) ).

tff(thm_2Erat_2ERAT__SGN__CLAUSES,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Erat_2Erat__sgn_2E1(V0r1_2E0) = mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))) )
      <=> p(mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) )
      & ( ( mono_2Ec_2Erat_2Erat__sgn_2E1(V0r1_2E0) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
      <=> ( V0r1_2E0 = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) )
      & ( ( mono_2Ec_2Erat_2Erat__sgn_2E1(V0r1_2E0) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) )
      <=> p(mono_2Ec_2Erat_2Erat__gre_2E2(V0r1_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) ) ) ).

tff(thm_2Erat_2ERAT__SGN__0,axiom,
    mono_2Ec_2Erat_2Erat__sgn_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ).

tff(thm_2Erat_2ERAT__SGN__AINV,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Erat_2Erat__sgn_2E1(mono_2Ec_2Erat_2Erat__ainv_2E1(V0r1_2E0))) = mono_2Ec_2Erat_2Erat__sgn_2E1(V0r1_2E0) ) ).

tff(thm_2Erat_2ERAT__SGN__MUL,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__sgn_2E1(mono_2Ec_2Erat_2Erat__mul_2E2(V0r1_2E0,V1r2_2E0)) = mono_2Ec_2Einteger_2Eint__mul_2E2(mono_2Ec_2Erat_2Erat__sgn_2E1(V0r1_2E0),mono_2Ec_2Erat_2Erat__sgn_2E1(V1r2_2E0)) ) ).

tff(thm_2Erat_2ERAT__SGN__MINV,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( V0r1_2E0 != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
     => ( mono_2Ec_2Erat_2Erat__sgn_2E1(mono_2Ec_2Erat_2Erat__minv_2E1(V0r1_2E0)) = mono_2Ec_2Erat_2Erat__sgn_2E1(V0r1_2E0) ) ) ).

tff(thm_2Erat_2ERAT__SGN__TOTAL,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__sgn_2E1(V0r1_2E0) = mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))) )
      | ( mono_2Ec_2Erat_2Erat__sgn_2E1(V0r1_2E0) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
      | ( mono_2Ec_2Erat_2Erat__sgn_2E1(V0r1_2E0) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) ) ) ).

tff(thm_2Erat_2ERAT__SGN__COMPLEMENT,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Erat_2Erat__sgn_2E1(V0r1_2E0) != mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))) )
      <=> ( ( mono_2Ec_2Erat_2Erat__sgn_2E1(V0r1_2E0) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
          | ( mono_2Ec_2Erat_2Erat__sgn_2E1(V0r1_2E0) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) ) ) )
      & ( ( mono_2Ec_2Erat_2Erat__sgn_2E1(V0r1_2E0) != mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
      <=> ( ( mono_2Ec_2Erat_2Erat__sgn_2E1(V0r1_2E0) = mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))) )
          | ( mono_2Ec_2Erat_2Erat__sgn_2E1(V0r1_2E0) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) ) ) )
      & ( ( mono_2Ec_2Erat_2Erat__sgn_2E1(V0r1_2E0) != mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) )
      <=> ( ( mono_2Ec_2Erat_2Erat__sgn_2E1(V0r1_2E0) = mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))) )
          | ( mono_2Ec_2Erat_2Erat__sgn_2E1(V0r1_2E0) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ) ) ) ).

tff(thm_2Erat_2ERAT__LES__REF,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat] : ~ p(mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,V0r1_2E0)) ).

tff(thm_2Erat_2ERAT__LES__ANTISYM,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,V1r2_2E0))
     => ~ p(mono_2Ec_2Erat_2Erat__les_2E2(V1r2_2E0,V0r1_2E0)) ) ).

tff(thm_2Erat_2ERAT__LES__TRANS,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( p(mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,V1r2_2E0))
        & p(mono_2Ec_2Erat_2Erat__les_2E2(V1r2_2E0,V2r3_2E0)) )
     => p(mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,V2r3_2E0)) ) ).

tff(thm_2Erat_2ERAT__LES__TOTAL,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,V1r2_2E0))
      | ( V0r1_2E0 = V1r2_2E0 )
      | p(mono_2Ec_2Erat_2Erat__les_2E2(V1r2_2E0,V0r1_2E0)) ) ).

tff(thm_2Erat_2ERAT__LEQ__REF,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat] : p(mono_2Ec_2Erat_2Erat__leq_2E2(V0r1_2E0,V0r1_2E0)) ).

tff(thm_2Erat_2ERAT__LEQ__ANTISYM,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( p(mono_2Ec_2Erat_2Erat__leq_2E2(V0r1_2E0,V1r2_2E0))
        & p(mono_2Ec_2Erat_2Erat__leq_2E2(V1r2_2E0,V0r1_2E0)) )
     => ( V0r1_2E0 = V1r2_2E0 ) ) ).

tff(thm_2Erat_2ERAT__LEQ__TRANS,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( p(mono_2Ec_2Erat_2Erat__leq_2E2(V0r1_2E0,V1r2_2E0))
        & p(mono_2Ec_2Erat_2Erat__leq_2E2(V1r2_2E0,V2r3_2E0)) )
     => p(mono_2Ec_2Erat_2Erat__leq_2E2(V0r1_2E0,V2r3_2E0)) ) ).

tff(thm_2Erat_2ERAT__LES__01,axiom,
    p(mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))) ).

tff(thm_2Erat_2ERAT__LES__IMP__LEQ,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,V1r2_2E0))
     => p(mono_2Ec_2Erat_2Erat__leq_2E2(V0r1_2E0,V1r2_2E0)) ) ).

tff(thm_2Erat_2ERAT__LES__IMP__NEQ,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,V1r2_2E0))
     => ( V0r1_2E0 != V1r2_2E0 ) ) ).

tff(thm_2Erat_2ERAT__LEQ__LES,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ~ p(mono_2Ec_2Erat_2Erat__les_2E2(V1r2_2E0,V0r1_2E0))
    <=> p(mono_2Ec_2Erat_2Erat__leq_2E2(V0r1_2E0,V1r2_2E0)) ) ).

tff(thm_2Erat_2ERAT__LES__LEQ,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ~ p(mono_2Ec_2Erat_2Erat__leq_2E2(V1r2_2E0,V0r1_2E0))
    <=> p(mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,V1r2_2E0)) ) ).

tff(thm_2Erat_2ERAT__LES__LEQ2,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,V1r2_2E0))
    <=> ( p(mono_2Ec_2Erat_2Erat__leq_2E2(V0r1_2E0,V1r2_2E0))
        & ~ p(mono_2Ec_2Erat_2Erat__leq_2E2(V1r2_2E0,V0r1_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__LES__LEQ__TRANS,axiom,
    ! [V0a_2E0: mono_2Etyop_2Erat_2Erat,V1b_2E0: mono_2Etyop_2Erat_2Erat,V2c_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( p(mono_2Ec_2Erat_2Erat__les_2E2(V0a_2E0,V1b_2E0))
        & p(mono_2Ec_2Erat_2Erat__leq_2E2(V1b_2E0,V2c_2E0)) )
     => p(mono_2Ec_2Erat_2Erat__les_2E2(V0a_2E0,V2c_2E0)) ) ).

tff(thm_2Erat_2ERAT__LEQ__LES__TRANS,axiom,
    ! [V0a_2E0: mono_2Etyop_2Erat_2Erat,V1b_2E0: mono_2Etyop_2Erat_2Erat,V2c_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( p(mono_2Ec_2Erat_2Erat__leq_2E2(V0a_2E0,V1b_2E0))
        & p(mono_2Ec_2Erat_2Erat__les_2E2(V1b_2E0,V2c_2E0)) )
     => p(mono_2Ec_2Erat_2Erat__les_2E2(V0a_2E0,V2c_2E0)) ) ).

tff(thm_2Erat_2ERAT__0LES__0LES__ADD,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0r1_2E0))
     => ( p(mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1r2_2E0))
       => p(mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Erat_2Erat__add_2E2(V0r1_2E0,V1r2_2E0))) ) ) ).

tff(thm_2Erat_2ERAT__LES0__LES0__ADD,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
     => ( p(mono_2Ec_2Erat_2Erat__les_2E2(V1r2_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
       => p(mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__add_2E2(V0r1_2E0,V1r2_2E0),mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) ) ) ).

tff(thm_2Erat_2ERAT__0LES__0LEQ__ADD,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0r1_2E0))
     => ( p(mono_2Ec_2Erat_2Erat__leq_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1r2_2E0))
       => p(mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Erat_2Erat__add_2E2(V0r1_2E0,V1r2_2E0))) ) ) ).

tff(thm_2Erat_2ERAT__LES0__LEQ0__ADD,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
     => ( p(mono_2Ec_2Erat_2Erat__leq_2E2(V1r2_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
       => p(mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__add_2E2(V0r1_2E0,V1r2_2E0),mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) ) ) ).

tff(thm_2Erat_2ERAT__LSUB__EQ,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__sub_2E2(V0r1_2E0,V1r2_2E0) = V2r3_2E0 )
    <=> ( V0r1_2E0 = mono_2Ec_2Erat_2Erat__add_2E2(V1r2_2E0,V2r3_2E0) ) ) ).

tff(thm_2Erat_2ERAT__RSUB__EQ,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( V0r1_2E0 = mono_2Ec_2Erat_2Erat__sub_2E2(V1r2_2E0,V2r3_2E0) )
    <=> ( mono_2Ec_2Erat_2Erat__add_2E2(V0r1_2E0,V2r3_2E0) = V1r2_2E0 ) ) ).

tff(thm_2Erat_2ERAT__LDIV__EQ,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( V1r2_2E0 != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
     => ( ( mono_2Ec_2Erat_2Erat__div_2E2(V0r1_2E0,V1r2_2E0) = V2r3_2E0 )
      <=> ( V0r1_2E0 = mono_2Ec_2Erat_2Erat__mul_2E2(V1r2_2E0,V2r3_2E0) ) ) ) ).

tff(thm_2Erat_2ERAT__RDIV__EQ,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( V2r3_2E0 != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
     => ( ( V0r1_2E0 = mono_2Ec_2Erat_2Erat__div_2E2(V1r2_2E0,V2r3_2E0) )
      <=> ( mono_2Ec_2Erat_2Erat__mul_2E2(V0r1_2E0,V2r3_2E0) = V1r2_2E0 ) ) ) ).

tff(thm_2Erat_2ERAT__AINV__ONE__ONE,axiom,
    p(mono_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat(mono_2Ec_2Erat_2Erat__ainv_2E0)) ).

tff(thm_2Erat_2ERAT__ADD__ONE__ONE,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat] : p(mono_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat(mono_2Ec_2Erat_2Erat__add_2E1(V0r1_2E0))) ).

tff(thm_2Erat_2ERAT__MUL__ONE__ONE,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( V0r1_2E0 != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
    <=> p(mono_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2Etyop_2Erat_2Erat_20mono_2Etyop_2Erat_2Erat(mono_2Ec_2Erat_2Erat__mul_2E1(V0r1_2E0))) ) ).

tff(thm_2Erat_2ERAT__EQ__LADD,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__add_2E2(V2r3_2E0,V0r1_2E0) = mono_2Ec_2Erat_2Erat__add_2E2(V2r3_2E0,V1r2_2E0) )
    <=> ( V0r1_2E0 = V1r2_2E0 ) ) ).

tff(thm_2Erat_2ERAT__EQ__RADD,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__add_2E2(V0r1_2E0,V2r3_2E0) = mono_2Ec_2Erat_2Erat__add_2E2(V1r2_2E0,V2r3_2E0) )
    <=> ( V0r1_2E0 = V1r2_2E0 ) ) ).

tff(thm_2Erat_2ERAT__EQ__RMUL,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( V2r3_2E0 != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
     => ( ( mono_2Ec_2Erat_2Erat__mul_2E2(V0r1_2E0,V2r3_2E0) = mono_2Ec_2Erat_2Erat__mul_2E2(V1r2_2E0,V2r3_2E0) )
      <=> ( V0r1_2E0 = V1r2_2E0 ) ) ) ).

tff(thm_2Erat_2ERAT__EQ__LMUL,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( V2r3_2E0 != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
     => ( ( mono_2Ec_2Erat_2Erat__mul_2E2(V2r3_2E0,V0r1_2E0) = mono_2Ec_2Erat_2Erat__mul_2E2(V2r3_2E0,V1r2_2E0) )
      <=> ( V0r1_2E0 = V1r2_2E0 ) ) ) ).

tff(thm_2Erat_2ERAT__LES__RADD,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__add_2E2(V0r1_2E0,V2r3_2E0),mono_2Ec_2Erat_2Erat__add_2E2(V1r2_2E0,V2r3_2E0)) = mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,V1r2_2E0) ) ).

tff(thm_2Erat_2ERAT__LES__LADD,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__add_2E2(V2r3_2E0,V0r1_2E0),mono_2Ec_2Erat_2Erat__add_2E2(V2r3_2E0,V1r2_2E0)) = mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,V1r2_2E0) ) ).

tff(thm_2Erat_2ERAT__LEQ__RADD,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__leq_2E2(mono_2Ec_2Erat_2Erat__add_2E2(V0r1_2E0,V2r3_2E0),mono_2Ec_2Erat_2Erat__add_2E2(V1r2_2E0,V2r3_2E0)) = mono_2Ec_2Erat_2Erat__leq_2E2(V0r1_2E0,V1r2_2E0) ) ).

tff(thm_2Erat_2ERAT__LEQ__LADD,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__leq_2E2(mono_2Ec_2Erat_2Erat__add_2E2(V2r3_2E0,V0r1_2E0),mono_2Ec_2Erat_2Erat__add_2E2(V2r3_2E0,V1r2_2E0)) = mono_2Ec_2Erat_2Erat__leq_2E2(V0r1_2E0,V1r2_2E0) ) ).

tff(thm_2Erat_2ERAT__ADD__MONO,axiom,
    ! [V0a_2E0: mono_2Etyop_2Erat_2Erat,V1b_2E0: mono_2Etyop_2Erat_2Erat,V2c_2E0: mono_2Etyop_2Erat_2Erat,V3d_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( p(mono_2Ec_2Erat_2Erat__leq_2E2(V0a_2E0,V1b_2E0))
        & p(mono_2Ec_2Erat_2Erat__leq_2E2(V2c_2E0,V3d_2E0)) )
     => p(mono_2Ec_2Erat_2Erat__leq_2E2(mono_2Ec_2Erat_2Erat__add_2E2(V0a_2E0,V2c_2E0),mono_2Ec_2Erat_2Erat__add_2E2(V1b_2E0,V3d_2E0))) ) ).

tff(thm_2Erat_2ERAT__LES__AINV,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__ainv_2E1(V0r1_2E0),mono_2Ec_2Erat_2Erat__ainv_2E1(V1r2_2E0)) = mono_2Ec_2Erat_2Erat__les_2E2(V1r2_2E0,V0r1_2E0) ) ).

tff(thm_2Erat_2ERAT__LSUB__LES,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__sub_2E2(V0r1_2E0,V1r2_2E0),V2r3_2E0) = mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,mono_2Ec_2Erat_2Erat__add_2E2(V1r2_2E0,V2r3_2E0)) ) ).

tff(thm_2Erat_2ERAT__RSUB__LES,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,mono_2Ec_2Erat_2Erat__sub_2E2(V1r2_2E0,V2r3_2E0)) = mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__add_2E2(V0r1_2E0,V2r3_2E0),V1r2_2E0) ) ).

tff(thm_2Erat_2ERAT__LSUB__LEQ,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__leq_2E2(mono_2Ec_2Erat_2Erat__sub_2E2(V0r1_2E0,V1r2_2E0),V2r3_2E0) = mono_2Ec_2Erat_2Erat__leq_2E2(V0r1_2E0,mono_2Ec_2Erat_2Erat__add_2E2(V1r2_2E0,V2r3_2E0)) ) ).

tff(thm_2Erat_2ERAT__RSUB__LEQ,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__leq_2E2(V0r1_2E0,mono_2Ec_2Erat_2Erat__sub_2E2(V1r2_2E0,V2r3_2E0)) = mono_2Ec_2Erat_2Erat__leq_2E2(mono_2Ec_2Erat_2Erat__add_2E2(V0r1_2E0,V2r3_2E0),V1r2_2E0) ) ).

tff(thm_2Erat_2ERAT__LES__RMUL__POS,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V2r3_2E0))
     => ( mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__mul_2E2(V0r1_2E0,V2r3_2E0),mono_2Ec_2Erat_2Erat__mul_2E2(V1r2_2E0,V2r3_2E0)) = mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,V1r2_2E0) ) ) ).

tff(thm_2Erat_2ERAT__LES__LMUL__POS,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V2r3_2E0))
     => ( mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__mul_2E2(V2r3_2E0,V0r1_2E0),mono_2Ec_2Erat_2Erat__mul_2E2(V2r3_2E0,V1r2_2E0)) = mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,V1r2_2E0) ) ) ).

tff(thm_2Erat_2ERAT__LES__RMUL__NEG,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__les_2E2(V2r3_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
     => ( mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__mul_2E2(V1r2_2E0,V2r3_2E0),mono_2Ec_2Erat_2Erat__mul_2E2(V0r1_2E0,V2r3_2E0)) = mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,V1r2_2E0) ) ) ).

tff(thm_2Erat_2ERAT__LES__LMUL__NEG,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__les_2E2(V2r3_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
     => ( mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__mul_2E2(V2r3_2E0,V1r2_2E0),mono_2Ec_2Erat_2Erat__mul_2E2(V2r3_2E0,V0r1_2E0)) = mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,V1r2_2E0) ) ) ).

tff(thm_2Erat_2ERAT__AINV__LES,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__ainv_2E1(V0r1_2E0),V1r2_2E0) = mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__ainv_2E1(V1r2_2E0),V0r1_2E0) ) ).

tff(thm_2Erat_2ERAT__LDIV__LES__POS,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1r2_2E0))
     => ( mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__div_2E2(V0r1_2E0,V1r2_2E0),V2r3_2E0) = mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,mono_2Ec_2Erat_2Erat__mul_2E2(V1r2_2E0,V2r3_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__LDIV__LES__NEG,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__les_2E2(V1r2_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
     => ( mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__div_2E2(V0r1_2E0,V1r2_2E0),V2r3_2E0) = mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__mul_2E2(V1r2_2E0,V2r3_2E0),V0r1_2E0) ) ) ).

tff(thm_2Erat_2ERAT__RDIV__LES__POS,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V2r3_2E0))
     => ( mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,mono_2Ec_2Erat_2Erat__div_2E2(V1r2_2E0,V2r3_2E0)) = mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__mul_2E2(V0r1_2E0,V2r3_2E0),V1r2_2E0) ) ) ).

tff(thm_2Erat_2ERAT__RDIV__LES__NEG,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__les_2E2(V2r3_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
     => ( mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,mono_2Ec_2Erat_2Erat__div_2E2(V1r2_2E0,V2r3_2E0)) = mono_2Ec_2Erat_2Erat__les_2E2(V1r2_2E0,mono_2Ec_2Erat_2Erat__mul_2E2(V0r1_2E0,V2r3_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__LDIV__LEQ__POS,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1r2_2E0))
     => ( mono_2Ec_2Erat_2Erat__leq_2E2(mono_2Ec_2Erat_2Erat__div_2E2(V0r1_2E0,V1r2_2E0),V2r3_2E0) = mono_2Ec_2Erat_2Erat__leq_2E2(V0r1_2E0,mono_2Ec_2Erat_2Erat__mul_2E2(V1r2_2E0,V2r3_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__LDIV__LEQ__NEG,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__les_2E2(V1r2_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
     => ( mono_2Ec_2Erat_2Erat__leq_2E2(mono_2Ec_2Erat_2Erat__div_2E2(V0r1_2E0,V1r2_2E0),V2r3_2E0) = mono_2Ec_2Erat_2Erat__leq_2E2(mono_2Ec_2Erat_2Erat__mul_2E2(V1r2_2E0,V2r3_2E0),V0r1_2E0) ) ) ).

tff(thm_2Erat_2ERAT__RDIV__LEQ__POS,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V2r3_2E0))
     => ( mono_2Ec_2Erat_2Erat__leq_2E2(V0r1_2E0,mono_2Ec_2Erat_2Erat__div_2E2(V1r2_2E0,V2r3_2E0)) = mono_2Ec_2Erat_2Erat__leq_2E2(mono_2Ec_2Erat_2Erat__mul_2E2(V0r1_2E0,V2r3_2E0),V1r2_2E0) ) ) ).

tff(thm_2Erat_2ERAT__RDIV__LEQ__NEG,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r3_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__les_2E2(V2r3_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
     => ( mono_2Ec_2Erat_2Erat__leq_2E2(V0r1_2E0,mono_2Ec_2Erat_2Erat__div_2E2(V1r2_2E0,V2r3_2E0)) = mono_2Ec_2Erat_2Erat__leq_2E2(V1r2_2E0,mono_2Ec_2Erat_2Erat__mul_2E2(V0r1_2E0,V2r3_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__LES__SUB0,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__sub_2E2(V0r1_2E0,V1r2_2E0),mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,V1r2_2E0) ) ).

tff(thm_2Erat_2ERAT__LES__0SUB,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Erat_2Erat__sub_2E2(V0r1_2E0,V1r2_2E0)) = mono_2Ec_2Erat_2Erat__les_2E2(V1r2_2E0,V0r1_2E0) ) ).

tff(thm_2Erat_2ERAT__MINV__LES,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0r1_2E0))
     => ( ( mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__minv_2E1(V0r1_2E0),mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) )
        & ( mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Erat_2Erat__minv_2E1(V0r1_2E0)) = mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0r1_2E0) ) ) ) ).

tff(thm_2Erat_2ERAT__MUL__SIGN__CASES,axiom,
    ! [V0p_2E0: mono_2Etyop_2Erat_2Erat,V1q_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( p(mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Erat_2Erat__mul_2E2(V0p_2E0,V1q_2E0)))
      <=> ( ( p(mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0p_2E0))
            & p(mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1q_2E0)) )
          | ( p(mono_2Ec_2Erat_2Erat__les_2E2(V0p_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
            & p(mono_2Ec_2Erat_2Erat__les_2E2(V1q_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) ) ) )
      & ( p(mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__mul_2E2(V0p_2E0,V1q_2E0),mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
      <=> ( ( p(mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0p_2E0))
            & p(mono_2Ec_2Erat_2Erat__les_2E2(V1q_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) )
          | ( p(mono_2Ec_2Erat_2Erat__les_2E2(V0p_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))
            & p(mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V1q_2E0)) ) ) ) ) ).

tff(thm_2Erat_2ERAT__NO__ZERODIV,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( ( V0r1_2E0 = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
        | ( V1r2_2E0 = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) )
    <=> ( mono_2Ec_2Erat_2Erat__mul_2E2(V0r1_2E0,V1r2_2E0) = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ) ).

tff(thm_2Erat_2ERAT__NO__ZERODIV__THM,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__mul_2E2(V0r1_2E0,V1r2_2E0) = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
    <=> ( ( V0r1_2E0 = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
        | ( V1r2_2E0 = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ) ) ).

tff(thm_2Erat_2ERAT__NO__ZERODIV__NEG,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__mul_2E2(V0r1_2E0,V1r2_2E0) != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
    <=> ( ( V0r1_2E0 != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
        & ( V1r2_2E0 != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ) ) ).

tff(thm_2Erat_2ERAT__NO__IDDIV,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__mul_2E2(V0r1_2E0,V1r2_2E0) = V1r2_2E0 )
    <=> ( ( V0r1_2E0 = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) )
        | ( V1r2_2E0 = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ) ) ).

tff(thm_2Erat_2ERDIV__MUL__OUT,axiom,
    ! [V0r3_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r1_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__mul_2E2(V2r1_2E0,mono_2Ec_2Erat_2Erat__div_2E2(V1r2_2E0,V0r3_2E0)) = mono_2Ec_2Erat_2Erat__div_2E2(mono_2Ec_2Erat_2Erat__mul_2E2(V2r1_2E0,V1r2_2E0),V0r3_2E0) ) ).

tff(thm_2Erat_2ELDIV__MUL__OUT,axiom,
    ! [V0r3_2E0: mono_2Etyop_2Erat_2Erat,V1r2_2E0: mono_2Etyop_2Erat_2Erat,V2r1_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__mul_2E2(mono_2Ec_2Erat_2Erat__div_2E2(V2r1_2E0,V1r2_2E0),V0r3_2E0) = mono_2Ec_2Erat_2Erat__div_2E2(mono_2Ec_2Erat_2Erat__mul_2E2(V2r1_2E0,V0r3_2E0),V1r2_2E0) ) ).

tff(thm_2Erat_2ERAT__DENSE__THM,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat,V1r3_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,V1r3_2E0))
     => ? [V2r2_2E0: mono_2Etyop_2Erat_2Erat] :
          ( p(mono_2Ec_2Erat_2Erat__les_2E2(V0r1_2E0,V2r2_2E0))
          & p(mono_2Ec_2Erat_2Erat__les_2E2(V2r2_2E0,V1r3_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__SAVE,axiom,
    ! [V0r1_2E0: mono_2Etyop_2Erat_2Erat] :
    ? [V1a1_2E0: mono_2Etyop_2Einteger_2Eint,V2b1_2E0: mono_2Etyop_2Enum_2Enum] : ( V0r1_2E0 = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__save_2E2(V1a1_2E0,V2b1_2E0)) ) ).

tff(thm_2Erat_2ERAT__SAVE__MINV,axiom,
    ! [V0a1_2E0: mono_2Etyop_2Einteger_2Eint,V1b1_2E0: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__save_2E2(V0a1_2E0,V1b1_2E0)) != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
     => ( mono_2Ec_2Erat_2Erat__minv_2E1(mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__save_2E2(V0a1_2E0,V1b1_2E0))) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__save_2E2(mono_2Ec_2Einteger_2Eint__mul_2E2(mono_2Ec_2EintExtension_2ESGN_2E1(V0a1_2E0),mono_2Ec_2Einteger_2Eint__add_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(V1b1_2E0),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))),mono_2Ec_2Einteger_2ENum_2E1(mono_2Ec_2Einteger_2Eint__sub_2E2(mono_2Ec_2Einteger_2EABS_2E1(V0a1_2E0),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))))) ) ) ).

tff(thm_2Erat_2ERAT__SAVE__TO__CONS,axiom,
    ! [V0a1_2E0: mono_2Etyop_2Einteger_2Eint,V1b1_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__save_2E2(V0a1_2E0,V1b1_2E0)) = mono_2Ec_2Erat_2Erat__cons_2E2(V0a1_2E0,mono_2Ec_2Einteger_2Eint__add_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(V1b1_2E0),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))) ) ).

tff(thm_2Erat_2ERAT__OF__NUM,axiom,
    ! [A_27a: d,V0n_2E0: u] :
      ( ( mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) = mono_2Ec_2Erat_2Erat__0_2E0 )
      & ! [V1n_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2ESUC_2E1(V1n_2E0)) = mono_2Ec_2Erat_2Erat__add_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(V1n_2E0),mono_2Ec_2Erat_2Erat__1_2E0) ) ) ).

tff(thm_2Erat_2ERAT__SAVE__NUM,axiom,
    ! [V0n_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Erat_2Erat__of__num_2E1(V0n_2E0) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Efrac__save_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(V0n_2E0),mono_2Ec_2Enum_2E0_2E0)) ) ).

tff(thm_2Erat_2ERAT__CONS__TO__NUM,axiom,
    ! [V0n_2E0: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Erat_2Erat__cons_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(V0n_2E0),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))) = mono_2Ec_2Erat_2Erat__of__num_2E1(V0n_2E0) )
      & ( mono_2Ec_2Erat_2Erat__cons_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(V0n_2E0)),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))) = mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(V0n_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__0,axiom,
    mono_2Ec_2Erat_2Erat__0_2E0 = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ).

tff(thm_2Erat_2ERAT__1,axiom,
    mono_2Ec_2Erat_2Erat__1_2E0 = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) ).

tff(thm_2Erat_2ERAT__MINV__1,axiom,
    mono_2Ec_2Erat_2Erat__minv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))) = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) ).

tff(thm_2Erat_2ERAT__DIV__1,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__div_2E2(V0r_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))) = V0r_2E0 ) ).

tff(thm_2Erat_2ERAT__DIV__NEG1,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__div_2E2(V0r_2E0,mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))) = mono_2Ec_2Erat_2Erat__ainv_2E1(V0r_2E0) ) ).

tff(thm_2Erat_2ERAT__DIV__INV,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( V0r_2E0 != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
     => ( mono_2Ec_2Erat_2Erat__div_2E2(V0r_2E0,V0r_2E0) = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) ) ) ).

tff(thm_2Erat_2ERAT__MINV__MUL,axiom,
    ! [V0b_2E0: mono_2Etyop_2Erat_2Erat,V1a_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( ( V1a_2E0 != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
        & ( V0b_2E0 != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) )
     => ( mono_2Ec_2Erat_2Erat__minv_2E1(mono_2Ec_2Erat_2Erat__mul_2E2(V1a_2E0,V0b_2E0)) = mono_2Ec_2Erat_2Erat__mul_2E2(mono_2Ec_2Erat_2Erat__minv_2E1(V1a_2E0),mono_2Ec_2Erat_2Erat__minv_2E1(V0b_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__DIVDIV__MUL,axiom,
    ! [V0d_2E0: mono_2Etyop_2Erat_2Erat,V1c_2E0: mono_2Etyop_2Erat_2Erat,V2b_2E0: mono_2Etyop_2Erat_2Erat,V3a_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( ( V2b_2E0 != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
        & ( V0d_2E0 != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) )
     => ( mono_2Ec_2Erat_2Erat__mul_2E2(mono_2Ec_2Erat_2Erat__div_2E2(V3a_2E0,V2b_2E0),mono_2Ec_2Erat_2Erat__div_2E2(V1c_2E0,V0d_2E0)) = mono_2Ec_2Erat_2Erat__div_2E2(mono_2Ec_2Erat_2Erat__mul_2E2(V3a_2E0,V1c_2E0),mono_2Ec_2Erat_2Erat__mul_2E2(V2b_2E0,V0d_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__DIVDIV__ADD,axiom,
    ! [V0y_2E0: mono_2Etyop_2Erat_2Erat,V1x_2E0: mono_2Etyop_2Erat_2Erat,V2b_2E0: mono_2Etyop_2Erat_2Erat,V3a_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( ( V0y_2E0 != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
        & ( V2b_2E0 != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) )
     => ( mono_2Ec_2Erat_2Erat__add_2E2(mono_2Ec_2Erat_2Erat__div_2E2(V1x_2E0,V0y_2E0),mono_2Ec_2Erat_2Erat__div_2E2(V3a_2E0,V2b_2E0)) = mono_2Ec_2Erat_2Erat__div_2E2(mono_2Ec_2Erat_2Erat__add_2E2(mono_2Ec_2Erat_2Erat__mul_2E2(V1x_2E0,V2b_2E0),mono_2Ec_2Erat_2Erat__mul_2E2(V3a_2E0,V0y_2E0)),mono_2Ec_2Erat_2Erat__mul_2E2(V0y_2E0,V2b_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__DIV__AINV,axiom,
    ! [V0y_2E0: mono_2Etyop_2Erat_2Erat,V1x_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__div_2E2(V1x_2E0,V0y_2E0)) = mono_2Ec_2Erat_2Erat__div_2E2(mono_2Ec_2Erat_2Erat__ainv_2E1(V1x_2E0),V0y_2E0) ) ).

tff(thm_2Erat_2ERAT__MINV__EQ__0,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( V0r_2E0 != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
     => ( mono_2Ec_2Erat_2Erat__minv_2E1(V0r_2E0) != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ) ).

tff(thm_2Erat_2ERAT__DIV__MINV,axiom,
    ! [V0y_2E0: mono_2Etyop_2Erat_2Erat,V1x_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( ( V1x_2E0 != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
        & ( V0y_2E0 != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) )
     => ( mono_2Ec_2Erat_2Erat__minv_2E1(mono_2Ec_2Erat_2Erat__div_2E2(V1x_2E0,V0y_2E0)) = mono_2Ec_2Erat_2Erat__div_2E2(V0y_2E0,V1x_2E0) ) ) ).

tff(thm_2Erat_2ERAT__DIV__EQ0,axiom,
    ! [V0n_2E0: mono_2Etyop_2Erat_2Erat,V1d_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( V1d_2E0 != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
     => ( ( ( mono_2Ec_2Erat_2Erat__div_2E2(V0n_2E0,V1d_2E0) = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
        <=> ( V0n_2E0 = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) )
        & ( ( mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) = mono_2Ec_2Erat_2Erat__div_2E2(V0n_2E0,V1d_2E0) )
        <=> ( V0n_2E0 = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ) ) ) ).

tff(thm_2Erat_2ERAT__ADD__NUM__CALCULATE,axiom,
    ( ! [V0n_2E0: mono_2Etyop_2Enum_2Enum,V1m_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Erat_2Erat__add_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(V0n_2E0),mono_2Ec_2Erat_2Erat__of__num_2E1(V1m_2E0)) = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2E_2B_2E2(V0n_2E0,V1m_2E0)) )
    & ! [V2n_2E0: mono_2Etyop_2Enum_2Enum,V3m_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Erat_2Erat__add_2E2(mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(V2n_2E0)),mono_2Ec_2Erat_2Erat__of__num_2E1(V3m_2E0)) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Erat_2Erat(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(V2n_2E0,V3m_2E0),mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2E_2D_2E2(V3m_2E0,V2n_2E0)),mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2E_2D_2E2(V2n_2E0,V3m_2E0)))) )
    & ! [V4n_2E0: mono_2Etyop_2Enum_2Enum,V5m_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Erat_2Erat__add_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(V4n_2E0),mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(V5m_2E0))) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Erat_2Erat(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(V5m_2E0,V4n_2E0),mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2E_2D_2E2(V4n_2E0,V5m_2E0)),mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2E_2D_2E2(V5m_2E0,V4n_2E0)))) )
    & ! [V6n_2E0: mono_2Etyop_2Enum_2Enum,V7m_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Erat_2Erat__add_2E2(mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(V6n_2E0)),mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(V7m_2E0))) = mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2E_2B_2E2(V6n_2E0,V7m_2E0))) ) ) ).

tff(thm_2Erat_2ERAT__MUL__NUM__CALCULATE,axiom,
    ( ! [V0n_2E0: mono_2Etyop_2Enum_2Enum,V1m_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Erat_2Erat__mul_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(V0n_2E0),mono_2Ec_2Erat_2Erat__of__num_2E1(V1m_2E0)) = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2E_2A_2E2(V0n_2E0,V1m_2E0)) )
    & ! [V2n_2E0: mono_2Etyop_2Enum_2Enum,V3m_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Erat_2Erat__mul_2E2(mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(V2n_2E0)),mono_2Ec_2Erat_2Erat__of__num_2E1(V3m_2E0)) = mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2E_2A_2E2(V2n_2E0,V3m_2E0))) )
    & ! [V4n_2E0: mono_2Etyop_2Enum_2Enum,V5m_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Erat_2Erat__mul_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(V4n_2E0),mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(V5m_2E0))) = mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2E_2A_2E2(V4n_2E0,V5m_2E0))) )
    & ! [V6n_2E0: mono_2Etyop_2Enum_2Enum,V7m_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Erat_2Erat__mul_2E2(mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(V6n_2E0)),mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(V7m_2E0))) = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2E_2A_2E2(V6n_2E0,V7m_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__EQ__NUM__CALCULATE,axiom,
    ( ! [V0n_2E0: mono_2Etyop_2Enum_2Enum,V1m_2E0: mono_2Etyop_2Enum_2Enum] :
        ( ( mono_2Ec_2Erat_2Erat__of__num_2E1(V0n_2E0) = mono_2Ec_2Erat_2Erat__of__num_2E1(V1m_2E0) )
      <=> ( V0n_2E0 = V1m_2E0 ) )
    & ! [V2n_2E0: mono_2Etyop_2Enum_2Enum,V3m_2E0: mono_2Etyop_2Enum_2Enum] :
        ( ( mono_2Ec_2Erat_2Erat__of__num_2E1(V2n_2E0) = mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(V3m_2E0)) )
      <=> ( ( V2n_2E0 = mono_2Ec_2Enum_2E0_2E0 )
          & ( V3m_2E0 = mono_2Ec_2Enum_2E0_2E0 ) ) )
    & ! [V4n_2E0: mono_2Etyop_2Enum_2Enum,V5m_2E0: mono_2Etyop_2Enum_2Enum] :
        ( ( mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(V4n_2E0)) = mono_2Ec_2Erat_2Erat__of__num_2E1(V5m_2E0) )
      <=> ( ( V4n_2E0 = mono_2Ec_2Enum_2E0_2E0 )
          & ( V5m_2E0 = mono_2Ec_2Enum_2E0_2E0 ) ) )
    & ! [V6n_2E0: mono_2Etyop_2Enum_2Enum,V7m_2E0: mono_2Etyop_2Enum_2Enum] :
        ( ( mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(V6n_2E0)) = mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(V7m_2E0)) )
      <=> ( V6n_2E0 = V7m_2E0 ) ) ) ).

tff(thm_2Erat_2ERAT__LT__NUM__CALCULATE,axiom,
    ! [V0n_2E0: mono_2Etyop_2Enum_2Enum,V1m_2E0: mono_2Etyop_2Enum_2Enum,V2b_2E0: mono_2Etyop_2Enum_2Enum,V3a_2E0: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(V3a_2E0),mono_2Ec_2Erat_2Erat__of__num_2E1(V2b_2E0)) = mono_2Ec_2Eprim__rec_2E_3C_2E2(V3a_2E0,V2b_2E0) )
      & ( p(mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(V1m_2E0)),mono_2Ec_2Erat_2Erat__of__num_2E1(V0n_2E0)))
      <=> ( p(mono_2Ec_2Eprim__rec_2E_3C_2E2(mono_2Ec_2Enum_2E0_2E0,V1m_2E0))
          | p(mono_2Ec_2Eprim__rec_2E_3C_2E2(mono_2Ec_2Enum_2E0_2E0,V0n_2E0)) ) )
      & ( mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(V1m_2E0),mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(V0n_2E0))) = mono_2Ec_2Ebool_2EF_2E0 )
      & ( mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(V1m_2E0)),mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(V0n_2E0))) = mono_2Ec_2Eprim__rec_2E_3C_2E2(V0n_2E0,V1m_2E0) ) ) ).

tff(thm_2Erat_2ERAT__LE__NUM__CALCULATE,axiom,
    ! [V0n_2E0: mono_2Etyop_2Enum_2Enum,V1m_2E0: mono_2Etyop_2Enum_2Enum,V2b_2E0: mono_2Etyop_2Enum_2Enum,V3a_2E0: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Erat_2Erat__leq_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(V3a_2E0),mono_2Ec_2Erat_2Erat__of__num_2E1(V2b_2E0)) = mono_2Ec_2Earithmetic_2E_3C_3D_2E2(V3a_2E0,V2b_2E0) )
      & ( mono_2Ec_2Erat_2Erat__leq_2E2(mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(V1m_2E0)),mono_2Ec_2Erat_2Erat__of__num_2E1(V0n_2E0)) = mono_2Ec_2Ebool_2ET_2E0 )
      & ( p(mono_2Ec_2Erat_2Erat__leq_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(V1m_2E0),mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(V0n_2E0))))
      <=> ( ( V1m_2E0 = mono_2Ec_2Enum_2E0_2E0 )
          & ( V0n_2E0 = mono_2Ec_2Enum_2E0_2E0 ) ) )
      & ( mono_2Ec_2Erat_2Erat__leq_2E2(mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(V1m_2E0)),mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(V0n_2E0))) = mono_2Ec_2Earithmetic_2E_3C_3D_2E2(V0n_2E0,V1m_2E0) ) ) ).

tff(thm_2Erat_2Erat__of__int__11,axiom,
    ! [V0i2_2E0: mono_2Etyop_2Einteger_2Eint,V1i1_2E0: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Erat_2Erat__of__int_2E1(V1i1_2E0) = mono_2Ec_2Erat_2Erat__of__int_2E1(V0i2_2E0) )
    <=> ( V1i1_2E0 = V0i2_2E0 ) ) ).

tff(thm_2Erat_2Erat__of__int__of__num,axiom,
    ! [V0x_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Erat_2Erat__of__int_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(V0x_2E0)) = mono_2Ec_2Erat_2Erat__of__num_2E1(V0x_2E0) ) ).

tff(thm_2Erat_2Erat__of__int__MUL,axiom,
    ! [V0y_2E0: mono_2Etyop_2Einteger_2Eint,V1x_2E0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Erat_2Erat__mul_2E2(mono_2Ec_2Erat_2Erat__of__int_2E1(V1x_2E0),mono_2Ec_2Erat_2Erat__of__int_2E1(V0y_2E0)) = mono_2Ec_2Erat_2Erat__of__int_2E1(mono_2Ec_2Einteger_2Eint__mul_2E2(V1x_2E0,V0y_2E0)) ) ).

tff(thm_2Erat_2Erat__of__int__ADD,axiom,
    ! [V0y_2E0: mono_2Etyop_2Einteger_2Eint,V1x_2E0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Erat_2Erat__add_2E2(mono_2Ec_2Erat_2Erat__of__int_2E1(V1x_2E0),mono_2Ec_2Erat_2Erat__of__int_2E1(V0y_2E0)) = mono_2Ec_2Erat_2Erat__of__int_2E1(mono_2Ec_2Einteger_2Eint__add_2E2(V1x_2E0,V0y_2E0)) ) ).

tff(thm_2Erat_2Erat__of__int__LE,axiom,
    ! [V0j_2E0: mono_2Etyop_2Einteger_2Eint,V1i_2E0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Erat_2Erat__leq_2E2(mono_2Ec_2Erat_2Erat__of__int_2E1(V1i_2E0),mono_2Ec_2Erat_2Erat__of__int_2E1(V0j_2E0)) = mono_2Ec_2Einteger_2Eint__le_2E2(V1i_2E0,V0j_2E0) ) ).

tff(thm_2Erat_2Erat__of__int__LT,axiom,
    ! [V0j_2E0: mono_2Etyop_2Einteger_2Eint,V1i_2E0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__int_2E1(V1i_2E0),mono_2Ec_2Erat_2Erat__of__int_2E1(V0j_2E0)) = mono_2Ec_2Einteger_2Eint__lt_2E2(V1i_2E0,V0j_2E0) ) ).

tff(thm_2Erat_2Erat__of__int__ainv,axiom,
    ! [V0i_2E0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Erat_2Erat__of__int_2E1(mono_2Ec_2Einteger_2Eint__neg_2E1(V0i_2E0)) = mono_2Ec_2Erat_2Erat__ainv_2E1(mono_2Ec_2Erat_2Erat__of__int_2E1(V0i_2E0)) ) ).

tff(thm_2Erat_2ERAT__OF__INT__CALCULATE,axiom,
    ! [V0i_2E0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Erat_2Erat__of__int_2E1(V0i_2E0) = mono_2Ec_2Erat_2Eabs__rat_2E1(mono_2Ec_2Efrac_2Eabs__frac_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(V0i_2E0,mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))))) ) ).

tff(thm_2Erat_2ERATD__NZERO,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat] :
      ( p(mono_2Ec_2Eprim__rec_2E_3C_2E2(mono_2Ec_2Enum_2E0_2E0,mono_2Ec_2Erat_2ERATD_2E1(V0r_2E0)))
      & ( mono_2Ec_2Erat_2ERATD_2E1(V0r_2E0) != mono_2Ec_2Enum_2E0_2E0 ) ) ).

tff(thm_2Erat_2ERATN__LEAST,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat,V1n_27_2E0: mono_2Etyop_2Einteger_2Eint,V2d_27_2E0: mono_2Etyop_2Enum_2Enum] :
      ( ( ( V0r_2E0 = mono_2Ec_2Erat_2Erat__div_2E2(mono_2Ec_2Erat_2Erat__of__int_2E1(V1n_27_2E0),mono_2Ec_2Erat_2Erat__of__num_2E1(V2d_27_2E0)) )
        & p(mono_2Ec_2Eprim__rec_2E_3C_2E2(mono_2Ec_2Enum_2E0_2E0,V2d_27_2E0)) )
     => p(mono_2Ec_2Einteger_2Eint__le_2E2(mono_2Ec_2Einteger_2EABS_2E1(mono_2Ec_2Erat_2ERATN_2E1(V0r_2E0)),mono_2Ec_2Einteger_2EABS_2E1(V1n_27_2E0))) ) ).

tff(thm_2Erat_2ERATN__RATD__EQ__THM,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat] : ( V0r_2E0 = mono_2Ec_2Erat_2Erat__div_2E2(mono_2Ec_2Erat_2Erat__of__int_2E1(mono_2Ec_2Erat_2ERATN_2E1(V0r_2E0)),mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Erat_2ERATD_2E1(V0r_2E0))) ) ).

tff(thm_2Erat_2ERATN__RATD__MULT,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__mul_2E2(V0r_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Erat_2ERATD_2E1(V0r_2E0))) = mono_2Ec_2Erat_2Erat__of__int_2E1(mono_2Ec_2Erat_2ERATN_2E1(V0r_2E0)) ) ).

tff(thm_2Erat_2ERATND__RAT__OF__NUM,axiom,
    ! [V0n_2E0: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Erat_2ERATN_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(V0n_2E0)) = mono_2Ec_2Einteger_2Eint__of__num_2E1(V0n_2E0) )
      & ( mono_2Ec_2Erat_2ERATD_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(V0n_2E0)) = mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)) ) ) ).

tff(thm_2Erat_2ERATN__EQ0,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Erat_2ERATN_2E1(V0r_2E0) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
      <=> ( V0r_2E0 = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) )
      & ( ( mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) = mono_2Ec_2Erat_2ERATN_2E1(V0r_2E0) )
      <=> ( V0r_2E0 = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ) ) ).

tff(thm_2Erat_2ERATN__SIGN,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Erat_2ERATN_2E1(V0x_2E0)) = mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0) )
      & ( mono_2Ec_2Einteger_2Eint__le_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Erat_2ERATN_2E1(V0x_2E0)) = mono_2Ec_2Erat_2Erat__leq_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0x_2E0) )
      & ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Erat_2ERATN_2E1(V0x_2E0),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Erat_2Erat__les_2E2(V0x_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) )
      & ( mono_2Ec_2Einteger_2Eint__le_2E2(mono_2Ec_2Erat_2ERATN_2E1(V0x_2E0),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Erat_2Erat__leq_2E2(V0x_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__AINV__SGN,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Erat_2Erat__ainv_2E1(V0r_2E0)) = mono_2Ec_2Erat_2Erat__les_2E2(V0r_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) )
      & ( mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__ainv_2E1(V0r_2E0),mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0r_2E0) ) ) ).

tff(thm_2Erat_2ERATN__NEG,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2ERATN_2E1(mono_2Ec_2Erat_2Erat__ainv_2E1(V0r_2E0)) = mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Erat_2ERATN_2E1(V0r_2E0)) ) ).

tff(thm_2Erat_2ERATD__NEG,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2ERATD_2E1(mono_2Ec_2Erat_2Erat__ainv_2E1(V0r_2E0)) = mono_2Ec_2Erat_2ERATD_2E1(V0r_2E0) ) ).

tff(thm_2Erat_2ERATN__RATD__RAT__OF__INT,axiom,
    ! [V0i_2E0: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Erat_2ERATN_2E1(mono_2Ec_2Erat_2Erat__of__int_2E1(V0i_2E0)) = V0i_2E0 )
      & ( mono_2Ec_2Erat_2ERATD_2E1(mono_2Ec_2Erat_2Erat__of__int_2E1(V0i_2E0)) = mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)) ) ) ).

tff(thm_2Erat_2ERATN__DIV__RATD,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__div_2E2(mono_2Ec_2Erat_2Erat__of__int_2E1(mono_2Ec_2Erat_2ERATN_2E1(V0r_2E0)),mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Erat_2ERATD_2E1(V0r_2E0))) = V0r_2E0 ) ).

tff(thm_2Erat_2ERAT__AINV__EQ__NUM,axiom,
    ! [V0x_2E0: mono_2Etyop_2Erat_2Erat,V1n_2E0: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Erat_2Erat__ainv_2E1(V0x_2E0) = mono_2Ec_2Erat_2Erat__of__num_2E1(V1n_2E0) )
    <=> ( V0x_2E0 = mono_2Ec_2Erat_2Erat__of__int_2E1(mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(V1n_2E0))) ) ) ).

tff(thm_2Erat_2ERAT__SGN__NUM__COND,axiom,
    ! [F0_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29] :
      ( ! [V0n_2E0: mono_2Etyop_2Enum_2Enum] :
          ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(F0_2E0,V0n_2E0))
        <=> ( V0n_2E0 = mono_2Ec_2Enum_2E0_2E0 ) )
     => ! [V0n_2E0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Erat_2Erat__sgn_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(V0n_2E0)) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(F0_2E0,V0n_2E0),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))) ) ) ).

tff(thm_2Erat_2ERAT__SGN__AINV__RWT,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__sgn_2E1(mono_2Ec_2Erat_2Erat__ainv_2E1(V0r_2E0)) = mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Erat_2Erat__sgn_2E1(V0r_2E0)) ) ).

tff(thm_2Erat_2ERAT__SGN__ALT,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat] : ( mono_2Ec_2Erat_2Erat__sgn_2E1(V0r_2E0) = mono_2Ec_2EintExtension_2ESGN_2E1(mono_2Ec_2Erat_2ERATN_2E1(V0r_2E0)) ) ).

tff(thm_2Erat_2ERAT__SGN__NUM__BITs,axiom,
    ! [V0n_2E0: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Erat_2Erat__sgn_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(V0n_2E0)))) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) )
      & ( mono_2Ec_2Erat_2Erat__sgn_2E1(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(V0n_2E0)))) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) ) ) ).

tff(thm_2Erat_2ERAT__SGN__EQ0,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( ( mono_2Ec_2Erat_2Erat__sgn_2E1(V0r_2E0) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
      <=> ( V0r_2E0 = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) )
      & ( ( mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) = mono_2Ec_2Erat_2Erat__sgn_2E1(V0r_2E0) )
      <=> ( V0r_2E0 = mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ) ) ).

tff(thm_2Erat_2ERAT__SGN__POS,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__sgn_2E1(V0r_2E0) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))) )
    <=> p(mono_2Ec_2Erat_2Erat__les_2E2(mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),V0r_2E0)) ) ).

tff(thm_2Erat_2ERAT__SGN__NEG,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( mono_2Ec_2Erat_2Erat__sgn_2E1(V0r_2E0) = mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))) )
    <=> p(mono_2Ec_2Erat_2Erat__les_2E2(V0r_2E0,mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))) ) ).

tff(thm_2Erat_2ERAT__SGN__DIV,axiom,
    ! [V0n_2E0: mono_2Etyop_2Erat_2Erat,V1d_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( V1d_2E0 != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
     => ( mono_2Ec_2Erat_2Erat__sgn_2E1(mono_2Ec_2Erat_2Erat__div_2E2(V0n_2E0,V1d_2E0)) = mono_2Ec_2Einteger_2Eint__mul_2E2(mono_2Ec_2Erat_2Erat__sgn_2E1(V0n_2E0),mono_2Ec_2Erat_2Erat__sgn_2E1(V1d_2E0)) ) ) ).

tff(thm_2Erat_2ERAT__MINV__RATND,axiom,
    ! [V0r_2E0: mono_2Etyop_2Erat_2Erat] :
      ( ( V0r_2E0 != mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
     => ( mono_2Ec_2Erat_2Erat__minv_2E1(V0r_2E0) = mono_2Ec_2Erat_2Erat__div_2E2(mono_2Ec_2Erat_2Erat__mul_2E2(mono_2Ec_2Erat_2Erat__of__int_2E1(mono_2Ec_2Erat_2Erat__sgn_2E1(V0r_2E0)),mono_2Ec_2Erat_2Erat__of__num_2E1(mono_2Ec_2Erat_2ERATD_2E1(V0r_2E0))),mono_2Ec_2Erat_2Erat__of__int_2E1(mono_2Ec_2Einteger_2EABS_2E1(mono_2Ec_2Erat_2ERATN_2E1(V0r_2E0)))) ) ) ).

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