ITP001 Axioms: ITP044^4.ax


%------------------------------------------------------------------------------
% File     : ITP044^4 : TPTP v9.0.0. Bugfixed v7.5.0.
% Domain   : Interactive Theorem Proving
% Axioms   : HOL4 syntactic export, chainy mode
% Version  : [BG+19] axioms.
% English  :

% Refs     : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
%          : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% Source   : [BG+19]
% Names    : Temporal_Logic.ax [Gau19]
%          : HL4044^4.ax [TPAP]

% Status   : Satisfiable
% Syntax   : Number of formulae    :  411 ( 115 unt; 165 typ;   0 def)
%            Number of atoms       :  912 ( 234 equ; 141 cnn)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives : 4538 ( 141   ~;  47   |; 178   &;3780   @)
%                                         ( 207 <=>; 185  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   8 avg;3780 nst)
%            Number of types       :    7 (   6 usr)
%            Number of type conns  : 1260 (1260   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  161 ( 159 usr;  40 con; 0-4 aty)
%            Number of variables   : 1052 (   0   ^1008   !;  44   ?;1052   :)
% SPC      : TH0_SAT_EQU_NAR

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

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

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

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

thf(mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: $tType ).

thf(mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,type,
    mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29: $tType ).

thf(tyop_2Emin_2Ebool,type,
    tyop_2Emin_2Ebool: d ).

thf(tyop_2Emin_2Efun,type,
    tyop_2Emin_2Efun: d > d > d ).

thf(tyop_2Enum_2Enum,type,
    tyop_2Enum_2Enum: d ).

thf(tyop_2Epair_2Eprod,type,
    tyop_2Epair_2Eprod: d > d > d ).

thf(s,type,
    s: d > u > du ).

thf(app_2E2,type,
    app_2E2: du > du > u ).

thf(combin_i_2E0,type,
    combin_i_2E0: u ).

thf(combin_k_2E0,type,
    combin_k_2E0: u ).

thf(combin_s_2E0,type,
    combin_s_2E0: u ).

thf(c_2Ebool_2E_21_2E0,type,
    c_2Ebool_2E_21_2E0: u ).

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

thf(c_2Earithmetic_2E_2B_2E0,type,
    c_2Earithmetic_2E_2B_2E0: u ).

thf(c_2Earithmetic_2E_2B_2E2,type,
    c_2Earithmetic_2E_2B_2E2: du > du > u ).

thf(c_2Epair_2E_2C_2E0,type,
    c_2Epair_2E_2C_2E0: u ).

thf(c_2Epair_2E_2C_2E2,type,
    c_2Epair_2E_2C_2E2: du > du > u ).

thf(c_2Ebool_2E_2F_5C_2E0,type,
    c_2Ebool_2E_2F_5C_2E0: u ).

thf(c_2Ebool_2E_2F_5C_2E2,type,
    c_2Ebool_2E_2F_5C_2E2: du > du > u ).

thf(c_2Enum_2E0_2E0,type,
    c_2Enum_2E0_2E0: u ).

thf(c_2Eprim__rec_2E_3C_2E0,type,
    c_2Eprim__rec_2E_3C_2E0: u ).

thf(c_2Eprim__rec_2E_3C_2E2,type,
    c_2Eprim__rec_2E_3C_2E2: du > du > u ).

thf(c_2Earithmetic_2E_3C_3D_2E0,type,
    c_2Earithmetic_2E_3C_3D_2E0: u ).

thf(c_2Earithmetic_2E_3C_3D_2E2,type,
    c_2Earithmetic_2E_3C_3D_2E2: du > du > u ).

thf(c_2Emin_2E_3D_2E0,type,
    c_2Emin_2E_3D_2E0: u ).

thf(c_2Emin_2E_3D_2E2,type,
    c_2Emin_2E_3D_2E2: du > du > u ).

thf(c_2Emin_2E_3D_3D_3E_2E0,type,
    c_2Emin_2E_3D_3D_3E_2E0: u ).

thf(c_2Emin_2E_3D_3D_3E_2E2,type,
    c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).

thf(c_2Ebool_2E_3F_2E0,type,
    c_2Ebool_2E_3F_2E0: u ).

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

thf(c_2ETemporal__Logic_2EALWAYS_2E0,type,
    c_2ETemporal__Logic_2EALWAYS_2E0: u ).

thf(c_2ETemporal__Logic_2EALWAYS_2E1,type,
    c_2ETemporal__Logic_2EALWAYS_2E1: du > u ).

thf(c_2ETemporal__Logic_2EALWAYS_2E2,type,
    c_2ETemporal__Logic_2EALWAYS_2E2: du > du > u ).

thf(c_2ETemporal__Logic_2EBEFORE_2E0,type,
    c_2ETemporal__Logic_2EBEFORE_2E0: u ).

thf(c_2ETemporal__Logic_2EBEFORE_2E2,type,
    c_2ETemporal__Logic_2EBEFORE_2E2: du > du > u ).

thf(c_2ETemporal__Logic_2EBEFORE_2E3,type,
    c_2ETemporal__Logic_2EBEFORE_2E3: du > du > du > u ).

thf(c_2Earithmetic_2EBIT1_2E0,type,
    c_2Earithmetic_2EBIT1_2E0: u ).

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

thf(c_2Ebool_2ECOND_2E0,type,
    c_2Ebool_2ECOND_2E0: u ).

thf(c_2Ebool_2ECOND_2E3,type,
    c_2Ebool_2ECOND_2E3: du > du > du > u ).

thf(c_2ETemporal__Logic_2EEVENTUAL_2E0,type,
    c_2ETemporal__Logic_2EEVENTUAL_2E0: u ).

thf(c_2ETemporal__Logic_2EEVENTUAL_2E1,type,
    c_2ETemporal__Logic_2EEVENTUAL_2E1: du > u ).

thf(c_2ETemporal__Logic_2EEVENTUAL_2E2,type,
    c_2ETemporal__Logic_2EEVENTUAL_2E2: du > du > u ).

thf(c_2Ebool_2EF_2E0,type,
    c_2Ebool_2EF_2E0: u ).

thf(c_2ETemporal__Logic_2ENEXT_2E0,type,
    c_2ETemporal__Logic_2ENEXT_2E0: u ).

thf(c_2ETemporal__Logic_2ENEXT_2E1,type,
    c_2ETemporal__Logic_2ENEXT_2E1: du > u ).

thf(c_2ETemporal__Logic_2ENEXT_2E2,type,
    c_2ETemporal__Logic_2ENEXT_2E2: du > du > u ).

thf(c_2Earithmetic_2ENUMERAL_2E0,type,
    c_2Earithmetic_2ENUMERAL_2E0: u ).

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

thf(c_2ETemporal__Logic_2ESBEFORE_2E0,type,
    c_2ETemporal__Logic_2ESBEFORE_2E0: u ).

thf(c_2ETemporal__Logic_2ESBEFORE_2E2,type,
    c_2ETemporal__Logic_2ESBEFORE_2E2: du > du > u ).

thf(c_2ETemporal__Logic_2ESBEFORE_2E3,type,
    c_2ETemporal__Logic_2ESBEFORE_2E3: du > du > du > u ).

thf(c_2Enum_2ESUC_2E0,type,
    c_2Enum_2ESUC_2E0: u ).

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

thf(c_2ETemporal__Logic_2ESUNTIL_2E0,type,
    c_2ETemporal__Logic_2ESUNTIL_2E0: u ).

thf(c_2ETemporal__Logic_2ESUNTIL_2E2,type,
    c_2ETemporal__Logic_2ESUNTIL_2E2: du > du > u ).

thf(c_2ETemporal__Logic_2ESUNTIL_2E3,type,
    c_2ETemporal__Logic_2ESUNTIL_2E3: du > du > du > u ).

thf(c_2ETemporal__Logic_2ESWHEN_2E0,type,
    c_2ETemporal__Logic_2ESWHEN_2E0: u ).

thf(c_2ETemporal__Logic_2ESWHEN_2E2,type,
    c_2ETemporal__Logic_2ESWHEN_2E2: du > du > u ).

thf(c_2ETemporal__Logic_2ESWHEN_2E3,type,
    c_2ETemporal__Logic_2ESWHEN_2E3: du > du > du > u ).

thf(c_2Ebool_2ET_2E0,type,
    c_2Ebool_2ET_2E0: u ).

thf(c_2ETemporal__Logic_2EUNTIL_2E0,type,
    c_2ETemporal__Logic_2EUNTIL_2E0: u ).

thf(c_2ETemporal__Logic_2EUNTIL_2E2,type,
    c_2ETemporal__Logic_2EUNTIL_2E2: du > du > u ).

thf(c_2ETemporal__Logic_2EUNTIL_2E3,type,
    c_2ETemporal__Logic_2EUNTIL_2E3: du > du > du > u ).

thf(c_2ETemporal__Logic_2EUPTO_2E0,type,
    c_2ETemporal__Logic_2EUPTO_2E0: u ).

thf(c_2ETemporal__Logic_2EUPTO_2E1,type,
    c_2ETemporal__Logic_2EUPTO_2E1: du > u ).

thf(c_2ETemporal__Logic_2EWATCH_2E0,type,
    c_2ETemporal__Logic_2EWATCH_2E0: u ).

thf(c_2ETemporal__Logic_2EWATCH_2E2,type,
    c_2ETemporal__Logic_2EWATCH_2E2: du > du > u ).

thf(c_2ETemporal__Logic_2EWATCH_2E3,type,
    c_2ETemporal__Logic_2EWATCH_2E3: du > du > du > u ).

thf(c_2ETemporal__Logic_2EWHEN_2E0,type,
    c_2ETemporal__Logic_2EWHEN_2E0: u ).

thf(c_2ETemporal__Logic_2EWHEN_2E2,type,
    c_2ETemporal__Logic_2EWHEN_2E2: du > du > u ).

thf(c_2ETemporal__Logic_2EWHEN_2E3,type,
    c_2ETemporal__Logic_2EWHEN_2E3: du > du > du > u ).

thf(c_2Earithmetic_2EZERO_2E0,type,
    c_2Earithmetic_2EZERO_2E0: u ).

thf(c_2Ebool_2E_5C_2F_2E0,type,
    c_2Ebool_2E_5C_2F_2E0: u ).

thf(c_2Ebool_2E_5C_2F_2E2,type,
    c_2Ebool_2E_5C_2F_2E2: du > du > u ).

thf(c_2Ebool_2E_7E_2E0,type,
    c_2Ebool_2E_7E_2E0: u ).

thf(c_2Ebool_2E_7E_2E1,type,
    c_2Ebool_2E_7E_2E1: du > u ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o > $o ) > $o > $o > $o > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ).

thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29: ( mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ) > mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ).

thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).

thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
    mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 ).

thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,type,
    mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,type,
    mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 ).

thf(mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_20mono_2Etyop_2Emin_2Ebool,type,
    mono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 > $o ).

thf(mono_2Ec_2Earithmetic_2E_2B,type,
    mono_2Ec_2Earithmetic_2E_2B: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
    mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ).

thf(mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
    mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 ).

thf(mono_2Ec_2Ebool_2E_2F_5C,type,
    mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).

thf(mono_2Ec_2Enum_2E0,type,
    mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2Eprim__rec_2E_3C,type,
    mono_2Ec_2Eprim__rec_2E_3C: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).

thf(mono_2Ec_2Earithmetic_2E_3C_3D,type,
    mono_2Ec_2Earithmetic_2E_3C_3D: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).

thf(mono_2Ec_2Emin_2E_3D_3D_3E,type,
    mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).

thf(mono_2Ec_2ETemporal__Logic_2EALWAYS,type,
    mono_2Ec_2ETemporal__Logic_2EALWAYS: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).

thf(mono_2Ec_2ETemporal__Logic_2EBEFORE,type,
    mono_2Ec_2ETemporal__Logic_2EBEFORE: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).

thf(mono_2Ec_2Earithmetic_2EBIT1,type,
    mono_2Ec_2Earithmetic_2EBIT1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool,type,
    mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool: $o > $o > $o > $o ).

thf(mono_2Ec_2ETemporal__Logic_2EEVENTUAL,type,
    mono_2Ec_2ETemporal__Logic_2EEVENTUAL: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).

thf(mono_2Ec_2Ebool_2EF,type,
    mono_2Ec_2Ebool_2EF: $o ).

thf(mono_2Ec_2ETemporal__Logic_2ENEXT,type,
    mono_2Ec_2ETemporal__Logic_2ENEXT: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).

thf(mono_2Ec_2Earithmetic_2ENUMERAL,type,
    mono_2Ec_2Earithmetic_2ENUMERAL: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2ETemporal__Logic_2ESBEFORE,type,
    mono_2Ec_2ETemporal__Logic_2ESBEFORE: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).

thf(mono_2Ec_2Enum_2ESUC,type,
    mono_2Ec_2Enum_2ESUC: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2ETemporal__Logic_2ESUNTIL,type,
    mono_2Ec_2ETemporal__Logic_2ESUNTIL: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).

thf(mono_2Ec_2ETemporal__Logic_2ESWHEN,type,
    mono_2Ec_2ETemporal__Logic_2ESWHEN: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).

thf(mono_2Ec_2Ebool_2ET,type,
    mono_2Ec_2Ebool_2ET: $o ).

thf(mono_2Ec_2ETemporal__Logic_2EUNTIL,type,
    mono_2Ec_2ETemporal__Logic_2EUNTIL: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).

thf(mono_2Ec_2ETemporal__Logic_2EUPTO,type,
    mono_2Ec_2ETemporal__Logic_2EUPTO: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 > $o ).

thf(mono_2Ec_2ETemporal__Logic_2EWATCH,type,
    mono_2Ec_2ETemporal__Logic_2EWATCH: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).

thf(mono_2Ec_2ETemporal__Logic_2EWHEN,type,
    mono_2Ec_2ETemporal__Logic_2EWHEN: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).

thf(mono_2Ec_2Earithmetic_2EZERO,type,
    mono_2Ec_2Earithmetic_2EZERO: mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2Ebool_2E_5C_2F,type,
    mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).

thf(mono_2Ec_2Ebool_2E_7E,type,
    mono_2Ec_2Ebool_2E_7E: $o > $o ).

thf(i_mono_2Etyop_2Emin_2Ebool,type,
    i_mono_2Etyop_2Emin_2Ebool: $o > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29: ( $o > $o > $o > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_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_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ) > u ).

thf(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_2Enum_2Enum > $o ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29: ( mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ) > u ).

thf(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_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > u ).

thf(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_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 ) > u ).

thf(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_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 ) > u ).

thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_2Ctyop_2Emin_2Ebool_29,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 > $o ) > u ).

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

thf(i_mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
    i_mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 > u ).

thf(i_mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,type,
    i_mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 > u ).

thf(j_mono_2Etyop_2Emin_2Ebool,type,
    j_mono_2Etyop_2Emin_2Ebool: du > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29: du > $o > $o > $o > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_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_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ).

thf(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_2Enum_2Enum > $o ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29: du > mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ).

thf(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_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).

thf(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_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 ).

thf(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_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 ).

thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_2Ctyop_2Emin_2Ebool_29,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 > $o ).

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

thf(j_mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
    j_mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ).

thf(j_mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,type,
    j_mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 ).

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

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

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

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

thf(reserved_2Elogic_2E_2F_5C,axiom,
    ! [V0: $o,V1: $o] :
      ( ( mono_2Ec_2Ebool_2E_2F_5C @ V0 @ V1 )
    <=> ( V0
        & V1 ) ) ).

thf(reserved_2Elogic_2E_5C_2F,axiom,
    ! [V0: $o,V1: $o] :
      ( ( mono_2Ec_2Ebool_2E_5C_2F @ V0 @ V1 )
    <=> ( V0
        | V1 ) ) ).

thf(reserved_2Elogic_2E_7E,axiom,
    ! [V0: $o] :
      ( ( mono_2Ec_2Ebool_2E_7E @ V0 )
    <=> ( (~) @ V0 ) ) ).

thf(reserved_2Elogic_2E_3D_3D_3E,axiom,
    ! [V0: $o,V1: $o] :
      ( ( mono_2Ec_2Emin_2E_3D_3D_3E @ V0 @ V1 )
    <=> ( V0
       => V1 ) ) ).

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

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

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

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

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

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

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( 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_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( 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_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).

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

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_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_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).

thf(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 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ 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_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) ) @ V0_2E0 ) ) ).

thf(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 ) ) ).

thf(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 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ 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_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) ) ) @ V0_2E0 ) ) ).

thf(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 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).

thf(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 ) ) ).

thf(ij_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).

thf(ij_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0_2E0: u] :
      ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
      = ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).

thf(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: $o] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: $o > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: $o > $o > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0: $o > $o > $o > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( 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_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( 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 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_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_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
      ( ( 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 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
      ( ( 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 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
      ( ( 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 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 > $o] :
      ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Enum_2Enum,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum] :
      ( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29] :
      ( ( j_mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
      = V0 ) ).

thf(ji_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29] :
      ( ( j_mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
      = V0 ) ).

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

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

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

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: $o > $o,V1: $o] :
      ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: $o > $o > $o,V1: $o] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: $o > $o > $o > $o,V1: $o] :
      ( ( 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 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( 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_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,V1: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
      ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
      = ( 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 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,V1: mono_2Etyop_2Enum_2Enum] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: 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 @ ( V0 @ V1 ) ) )
      = ( 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 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: 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 @ ( V0 @ V1 ) ) )
      = ( 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 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,V1: mono_2Etyop_2Enum_2Enum] :
      ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
      ( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( V0 @ V1 ) ) )
      = ( 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 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29] :
      ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( V0 @ V1 ) ) )
      = ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29] :
      ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
      = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Ec_2Epair_2E_2C_2E0_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29 @ mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ) )
    = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) ) @ c_2Epair_2E_2C_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V0 @ V1 ) ) )
      = ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Ec_2Epair_2E_2C_2E0_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29_29 @ mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_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_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) ) ) @ c_2Epair_2E_2C_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29] :
      ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 @ V1 ) ) )
      = ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0 ) ) @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V1 ) ) ) ) ) ).

thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Emin_2Ebool,axiom,
    ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( 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_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool ) )
    = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ c_2Ebool_2ECOND_2E0 ) ) ).

thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: $o,V1: $o,V2: $o] :
      ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool @ V0 @ V1 @ V2 ) ) )
      = ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V2 ) ) ) ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: $o > $o,V1: $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: $o > $o > $o,V1: $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: $o > $o > $o > $o,V1: $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
    ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,V1: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,V1: mono_2Etyop_2Enum_2Enum] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,V1: mono_2Etyop_2Enum_2Enum] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
    ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29 > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_29] :
      ( ( V0 @ V1 )
      = ( V0 @ V1 ) ) ).

thf(thm_2ETemporal__Logic_2ENEXT,axiom,
    ! [V0P: mono_2Etyop_2Enum_2Enum > $o,V1x: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0P @ V1x )
      = ( V0P @ ( mono_2Ec_2Enum_2ESUC @ V1x ) ) ) ).

thf(thm_2ETemporal__Logic_2EALWAYS,axiom,
    ! [V0P: mono_2Etyop_2Enum_2Enum > $o,V1t0: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V0P @ V1t0 )
    <=> ! [V2t: mono_2Etyop_2Enum_2Enum] : ( V0P @ ( mono_2Ec_2Earithmetic_2E_2B @ V2t @ V1t0 ) ) ) ).

thf(thm_2ETemporal__Logic_2EEVENTUAL,axiom,
    ! [V0P: mono_2Etyop_2Enum_2Enum > $o,V1t0: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V0P @ V1t0 )
    <=> ? [V2t: mono_2Etyop_2Enum_2Enum] : ( V0P @ ( mono_2Ec_2Earithmetic_2E_2B @ V2t @ V1t0 ) ) ) ).

thf(thm_2ETemporal__Logic_2EWATCH,axiom,
    ! [V0q: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V2t0: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2ETemporal__Logic_2EWATCH @ V0q @ V1b @ V2t0 )
    <=> ! [V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( ( V0q @ V2t0 )
            = mono_2Ec_2Ebool_2EF )
          & ( ( V0q @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V3t @ V2t0 ) ) )
          <=> ( ( V0q @ ( mono_2Ec_2Earithmetic_2E_2B @ V3t @ V2t0 ) )
              | ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V3t @ V2t0 ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EUPTO,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1t1: mono_2Etyop_2Enum_2Enum,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EUPTO @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0t0 @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1t1 @ V2a ) ) )
    <=> ! [V3t2: mono_2Etyop_2Enum_2Enum] :
          ( ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V0t0 @ V3t2 )
            & ( mono_2Ec_2Eprim__rec_2E_3C @ V3t2 @ V1t1 ) )
         => ( V2a @ V3t2 ) ) ) ).

thf(thm_2ETemporal__Logic_2EWHEN,axiom,
    ! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V2t0: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V0a @ V1b @ V2t0 )
    <=> ? [V3q: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EWATCH @ V3q @ V1b @ V2t0 )
          & ! [V4t: mono_2Etyop_2Enum_2Enum] :
              ( ( V3q @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V2t0 ) )
              | ( ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V2t0 ) )
               => ( V0a @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V2t0 ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EUNTIL,axiom,
    ! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V2t0: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V0a @ V1b @ V2t0 )
    <=> ? [V3q: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EWATCH @ V3q @ V1b @ V2t0 )
          & ! [V4t: mono_2Etyop_2Enum_2Enum] :
              ( ( V3q @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V2t0 ) )
              | ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V2t0 ) )
              | ( V0a @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V2t0 ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EBEFORE,axiom,
    ! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V2t0: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V0a @ V1b @ V2t0 )
    <=> ? [V3q: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EWATCH @ V3q @ V1b @ V2t0 )
          & ( ? [V4t: mono_2Etyop_2Enum_2Enum] :
                ( ( (~) @ ( V3q @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V2t0 ) ) )
                & ( (~) @ ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V2t0 ) ) )
                & ( V0a @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V2t0 ) ) )
            | ! [V5t: mono_2Etyop_2Enum_2Enum] : ( (~) @ ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V5t @ V2t0 ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESWHEN,axiom,
    ! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V2t0: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V0a @ V1b @ V2t0 )
    <=> ? [V3q: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EWATCH @ V3q @ V1b @ V2t0 )
          & ? [V4t: mono_2Etyop_2Enum_2Enum] :
              ( ( (~) @ ( V3q @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V2t0 ) ) )
              & ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V2t0 ) )
              & ( V0a @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V2t0 ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESUNTIL,axiom,
    ! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V2t0: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V0a @ V1b @ V2t0 )
    <=> ? [V3q: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EWATCH @ V3q @ V1b @ V2t0 )
          & ! [V4t: mono_2Etyop_2Enum_2Enum] :
              ( ( V3q @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V2t0 ) )
              | ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V2t0 ) )
              | ( V0a @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V2t0 ) ) )
          & ? [V5t: mono_2Etyop_2Enum_2Enum] : ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V5t @ V2t0 ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESBEFORE,axiom,
    ! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V2t0: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V0a @ V1b @ V2t0 )
    <=> ? [V3q: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EWATCH @ V3q @ V1b @ V2t0 )
          & ? [V4t: mono_2Etyop_2Enum_2Enum] :
              ( ( (~) @ ( V3q @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V2t0 ) ) )
              & ( (~) @ ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V2t0 ) ) )
              & ( V0a @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V2t0 ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EWATCH__EXISTS,axiom,
    ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1t0: mono_2Etyop_2Enum_2Enum] :
    ? [V2q: mono_2Etyop_2Enum_2Enum > $o] : ( mono_2Ec_2ETemporal__Logic_2EWATCH @ V2q @ V0b @ V1t0 ) ).

thf(thm_2ETemporal__Logic_2EWELL__ORDER,axiom,
    ! [V0P: mono_2Etyop_2Enum_2Enum > $o] :
      ( ? [V1n: mono_2Etyop_2Enum_2Enum] : ( V0P @ V1n )
    <=> ? [V2m: mono_2Etyop_2Enum_2Enum] :
          ( ( V0P @ V2m )
          & ! [V3n: mono_2Etyop_2Enum_2Enum] :
              ( ( mono_2Ec_2Eprim__rec_2E_3C @ V3n @ V2m )
             => ( (~) @ ( V0P @ V3n ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EWELL__ORDER__UNIQUE,axiom,
    ! [V0m2: mono_2Etyop_2Enum_2Enum,V1m1: mono_2Etyop_2Enum_2Enum,V2P: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( ( V2P @ V1m1 )
        & ! [V3n: mono_2Etyop_2Enum_2Enum] :
            ( ( mono_2Ec_2Eprim__rec_2E_3C @ V3n @ V1m1 )
           => ( (~) @ ( V2P @ V3n ) ) )
        & ( V2P @ V0m2 )
        & ! [V4n: mono_2Etyop_2Enum_2Enum] :
            ( ( mono_2Ec_2Eprim__rec_2E_3C @ V4n @ V0m2 )
           => ( (~) @ ( V2P @ V4n ) ) ) )
     => ( V1m1 = V0m2 ) ) ).

thf(thm_2ETemporal__Logic_2EDELTA__CASES,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o] :
      ( ? [V2d: mono_2Etyop_2Enum_2Enum] :
          ( ! [V3t: mono_2Etyop_2Enum_2Enum] :
              ( ( mono_2Ec_2Eprim__rec_2E_3C @ V3t @ V2d )
             => ( (~) @ ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V3t @ V0t0 ) ) ) )
          & ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V2d @ V0t0 ) ) )
      | ! [V4d: mono_2Etyop_2Enum_2Enum] : ( (~) @ ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V4d @ V0t0 ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EWHEN__IMP,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V2a @ V1b @ V0t0 )
    <=> ! [V3q: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EWATCH @ V3q @ V1b @ V0t0 )
         => ! [V4t: mono_2Etyop_2Enum_2Enum] :
              ( ( V3q @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) )
              | ( ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) )
               => ( V2a @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EUNTIL__IMP,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V2a @ V1b @ V0t0 )
    <=> ! [V3q: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EWATCH @ V3q @ V1b @ V0t0 )
         => ! [V4t: mono_2Etyop_2Enum_2Enum] :
              ( ( V3q @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) )
              | ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) )
              | ( V2a @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EBEFORE__IMP,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V2a @ V1b @ V0t0 )
    <=> ! [V3q: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EWATCH @ V3q @ V1b @ V0t0 )
         => ( ? [V4t: mono_2Etyop_2Enum_2Enum] :
                ( ( (~) @ ( V3q @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) )
                & ( (~) @ ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) )
                & ( V2a @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) )
            | ! [V5t: mono_2Etyop_2Enum_2Enum] : ( (~) @ ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V5t @ V0t0 ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESWHEN__IMP,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V2a @ V1b @ V0t0 )
    <=> ! [V3q: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EWATCH @ V3q @ V1b @ V0t0 )
         => ? [V4t: mono_2Etyop_2Enum_2Enum] :
              ( ( (~) @ ( V3q @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) )
              & ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) )
              & ( V2a @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESUNTIL__IMP,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V2a @ V1b @ V0t0 )
    <=> ! [V3q: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EWATCH @ V3q @ V1b @ V0t0 )
         => ( ! [V4t: mono_2Etyop_2Enum_2Enum] :
                ( ( V3q @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) )
                | ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) )
                | ( V2a @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) )
            & ? [V5t: mono_2Etyop_2Enum_2Enum] : ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V5t @ V0t0 ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESBEFORE__IMP,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V2a @ V1b @ V0t0 )
    <=> ! [V3q: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EWATCH @ V3q @ V1b @ V0t0 )
         => ? [V4t: mono_2Etyop_2Enum_2Enum] :
              ( ( (~) @ ( V3q @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) )
              & ( (~) @ ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) )
              & ( V2a @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EALWAYS__SIGNAL,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V1a @ V0t0 )
    <=> ! [V2t: mono_2Etyop_2Enum_2Enum] : ( V1a @ ( mono_2Ec_2Earithmetic_2E_2B @ V2t @ V0t0 ) ) ) ).

thf(thm_2ETemporal__Logic_2EEVENTUAL__SIGNAL,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1a @ V0t0 )
    <=> ? [V2t: mono_2Etyop_2Enum_2Enum] : ( V1a @ ( mono_2Ec_2Earithmetic_2E_2B @ V2t @ V0t0 ) ) ) ).

thf(thm_2ETemporal__Logic_2EWATCH__SIGNAL,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1q: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EWATCH @ V1q @ V2b @ V0t0 )
    <=> ( ( ! [V3t: mono_2Etyop_2Enum_2Enum] : ( (~) @ ( V2b @ ( mono_2Ec_2Earithmetic_2E_2B @ V3t @ V0t0 ) ) )
         => ! [V4t: mono_2Etyop_2Enum_2Enum] : ( (~) @ ( V1q @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) ) )
        & ! [V5d: mono_2Etyop_2Enum_2Enum] :
            ( ( ( V2b @ ( mono_2Ec_2Earithmetic_2E_2B @ V5d @ V0t0 ) )
              & ! [V6t: mono_2Etyop_2Enum_2Enum] :
                  ( ( mono_2Ec_2Eprim__rec_2E_3C @ V6t @ V5d )
                 => ( (~) @ ( V2b @ ( mono_2Ec_2Earithmetic_2E_2B @ V6t @ V0t0 ) ) ) ) )
           => ( ! [V7t: mono_2Etyop_2Enum_2Enum] :
                  ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V7t @ V5d )
                 => ( (~) @ ( V1q @ ( mono_2Ec_2Earithmetic_2E_2B @ V7t @ V0t0 ) ) ) )
              & ! [V8t: mono_2Etyop_2Enum_2Enum] : ( V1q @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V8t @ ( mono_2Ec_2Earithmetic_2E_2B @ V5d @ V0t0 ) ) ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EWHEN__SIGNAL,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V2a @ V1b @ V0t0 )
    <=> ! [V3delta: mono_2Etyop_2Enum_2Enum] :
          ( ( ! [V4t: mono_2Etyop_2Enum_2Enum] :
                ( ( mono_2Ec_2Eprim__rec_2E_3C @ V4t @ V3delta )
               => ( (~) @ ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) ) )
            & ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V3delta @ V0t0 ) ) )
         => ( V2a @ ( mono_2Ec_2Earithmetic_2E_2B @ V3delta @ V0t0 ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EUNTIL__SIGNAL,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V2a @ V1b @ V0t0 )
    <=> ( ( ! [V3t: mono_2Etyop_2Enum_2Enum] : ( (~) @ ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V3t @ V0t0 ) ) )
         => ! [V4t: mono_2Etyop_2Enum_2Enum] : ( V2a @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) )
        & ! [V5d: mono_2Etyop_2Enum_2Enum] :
            ( ( ! [V6t: mono_2Etyop_2Enum_2Enum] :
                  ( ( mono_2Ec_2Eprim__rec_2E_3C @ V6t @ V5d )
                 => ( (~) @ ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V6t @ V0t0 ) ) ) )
              & ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V5d @ V0t0 ) ) )
           => ! [V7t: mono_2Etyop_2Enum_2Enum] :
                ( ( mono_2Ec_2Eprim__rec_2E_3C @ V7t @ V5d )
               => ( V2a @ ( mono_2Ec_2Earithmetic_2E_2B @ V7t @ V0t0 ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EBEFORE__SIGNAL,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V2a @ V1b @ V0t0 )
    <=> ! [V3delta: mono_2Etyop_2Enum_2Enum] :
          ( ( ! [V4t: mono_2Etyop_2Enum_2Enum] :
                ( ( mono_2Ec_2Eprim__rec_2E_3C @ V4t @ V3delta )
               => ( (~) @ ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) ) )
            & ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V3delta @ V0t0 ) ) )
         => ? [V5t: mono_2Etyop_2Enum_2Enum] :
              ( ( mono_2Ec_2Eprim__rec_2E_3C @ V5t @ V3delta )
              & ( V2a @ ( mono_2Ec_2Earithmetic_2E_2B @ V5t @ V0t0 ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESWHEN__SIGNAL,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V2a @ V1b @ V0t0 )
    <=> ? [V3delta: mono_2Etyop_2Enum_2Enum] :
          ( ! [V4t: mono_2Etyop_2Enum_2Enum] :
              ( ( mono_2Ec_2Eprim__rec_2E_3C @ V4t @ V3delta )
             => ( (~) @ ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) ) )
          & ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V3delta @ V0t0 ) )
          & ( V2a @ ( mono_2Ec_2Earithmetic_2E_2B @ V3delta @ V0t0 ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESUNTIL__SIGNAL,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V2a @ V1b @ V0t0 )
    <=> ? [V3delta: mono_2Etyop_2Enum_2Enum] :
          ( ! [V4t: mono_2Etyop_2Enum_2Enum] :
              ( ( mono_2Ec_2Eprim__rec_2E_3C @ V4t @ V3delta )
             => ( ( V2a @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) )
                & ( (~) @ ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) ) ) )
          & ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V3delta @ V0t0 ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESBEFORE__SIGNAL,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V2a @ V1b @ V0t0 )
    <=> ? [V3delta: mono_2Etyop_2Enum_2Enum] :
          ( ( V2a @ ( mono_2Ec_2Earithmetic_2E_2B @ V3delta @ V0t0 ) )
          & ! [V4t: mono_2Etyop_2Enum_2Enum] :
              ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V4t @ V3delta )
             => ( (~) @ ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ENEXT__LINORD,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1a @ V0t0 )
    <=> ? [V2t1: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2Eprim__rec_2E_3C @ V0t0 @ V2t1 )
          & ! [V3t3: mono_2Etyop_2Enum_2Enum] :
              ( ( mono_2Ec_2Eprim__rec_2E_3C @ V0t0 @ V3t3 )
             => ( mono_2Ec_2Earithmetic_2E_3C_3D @ V2t1 @ V3t3 ) )
          & ( V1a @ V2t1 ) ) ) ).

thf(thm_2ETemporal__Logic_2EALWAYS__LINORD,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V1a @ V0t0 )
    <=> ! [V2t1: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V0t0 @ V2t1 )
         => ( V1a @ V2t1 ) ) ) ).

thf(thm_2ETemporal__Logic_2EEVENTUAL__LINORD,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1a @ V0t0 )
    <=> ? [V2t1: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V0t0 @ V2t1 )
          & ( V1a @ V2t1 ) ) ) ).

thf(thm_2ETemporal__Logic_2ESUNTIL__LINORD,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V2a @ V1b @ V0t0 )
    <=> ? [V3t1: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V0t0 @ V3t1 )
          & ( V1b @ V3t1 )
          & ( mono_2Ec_2ETemporal__Logic_2EUPTO @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0t0 @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V3t1 @ V2a ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EUNTIL__LINORD,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1b: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1b @ V4t )
        <=> ( (~) @ ( V1b @ V4t ) ) )
     => ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V2a @ V1b @ V0t0 )
        <=> ! [V3t1: mono_2Etyop_2Enum_2Enum] :
              ( ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V0t0 @ V3t1 )
                & ( (~) @ ( V1b @ V3t1 ) )
                & ( mono_2Ec_2ETemporal__Logic_2EUPTO @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0t0 @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V3t1 @ ( F0 @ V1b ) ) ) ) )
             => ( V2a @ V3t1 ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESBEFORE__LINORD,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1b: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1b @ V4t )
        <=> ( (~) @ ( V1b @ V4t ) ) )
     => ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V2a @ V1b @ V0t0 )
        <=> ? [V3t1: mono_2Etyop_2Enum_2Enum] :
              ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V0t0 @ V3t1 )
              & ( V2a @ V3t1 )
              & ( (~) @ ( V1b @ V3t1 ) )
              & ( mono_2Ec_2ETemporal__Logic_2EUPTO @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0t0 @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V3t1 @ ( F0 @ V1b ) ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EBEFORE__LINORD,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V2a @ V4t )
        <=> ( (~) @ ( V2a @ V4t ) ) )
     => ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V2a @ V1b @ V0t0 )
        <=> ! [V3t1: mono_2Etyop_2Enum_2Enum] :
              ( ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V0t0 @ V3t1 )
                & ( mono_2Ec_2ETemporal__Logic_2EUPTO @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0t0 @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V3t1 @ ( F0 @ V2a ) ) ) ) )
             => ( (~) @ ( V1b @ V3t1 ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESWHEN__LINORD,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1b: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1b @ V4t )
        <=> ( (~) @ ( V1b @ V4t ) ) )
     => ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V2a @ V1b @ V0t0 )
        <=> ? [V3t1: mono_2Etyop_2Enum_2Enum] :
              ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V0t0 @ V3t1 )
              & ( V2a @ V3t1 )
              & ( V1b @ V3t1 )
              & ( mono_2Ec_2ETemporal__Logic_2EUPTO @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0t0 @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V3t1 @ ( F0 @ V1b ) ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EWHEN__LINORD,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1b: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1b @ V4t )
        <=> ( (~) @ ( V1b @ V4t ) ) )
     => ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V2a @ V1b @ V0t0 )
        <=> ! [V3t1: mono_2Etyop_2Enum_2Enum] :
              ( ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V0t0 @ V3t1 )
                & ( V1b @ V3t1 )
                & ( mono_2Ec_2ETemporal__Logic_2EUPTO @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0t0 @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V3t1 @ ( F0 @ V1b ) ) ) ) )
             => ( V2a @ V3t1 ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EALWAYS__AS__WHEN,axiom,
    ! [F0: mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1t )
          = mono_2Ec_2Ebool_2EF )
     => ( ! [V0a: mono_2Etyop_2Enum_2Enum > $o,V2t: mono_2Etyop_2Enum_2Enum] :
            ( ( F1 @ V0a @ V2t )
          <=> ( (~) @ ( V0a @ V2t ) ) )
       => ! [V0a: mono_2Etyop_2Enum_2Enum > $o] :
            ( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V0a )
            = ( mono_2Ec_2ETemporal__Logic_2EWHEN @ F0 @ ( F1 @ V0a ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EEVENTUAL__AS__WHEN,axiom,
    ! [F0: mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V2t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V2t )
          = mono_2Ec_2Ebool_2EF )
     => ! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1x: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V0a @ V1x )
        <=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EWHEN @ F0 @ V0a @ V1x ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EUNTIL__AS__WHEN,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V2t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1a @ V0b @ V2t )
        <=> ( ( V1a @ V2t )
           => ( V0b @ V2t ) ) )
     => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ V0b )
          = ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V0b @ ( F0 @ V1a @ V0b ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EBEFORE__AS__WHEN,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V2t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V0b @ V2t )
        <=> ( (~) @ ( V0b @ V2t ) ) )
     => ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
            ( ( F1 @ V1a @ V0b @ V3t )
          <=> ( ( V1a @ V3t )
              | ( V0b @ V3t ) ) )
       => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
            ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V0b )
            = ( mono_2Ec_2ETemporal__Logic_2EWHEN @ ( F0 @ V0b ) @ ( F1 @ V1a @ V0b ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESWHEN__AS__WHEN,axiom,
    ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ V0b @ V2x )
    <=> ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ V0b @ V2x )
        & ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V0b @ V2x ) ) ) ).

thf(thm_2ETemporal__Logic_2ESWHEN__AS__NOT__WHEN,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V2a @ V3t )
        <=> ( (~) @ ( V2a @ V3t ) ) )
     => ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V2a @ V1b @ V0t0 )
        <=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EWHEN @ ( F0 @ V2a ) @ V1b @ V0t0 ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESUNTIL__AS__WHEN,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1a @ V0b @ V3t )
        <=> ( ( V1a @ V3t )
           => ( V0b @ V3t ) ) )
     => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ V0b @ V2x )
        <=> ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V0b @ ( F0 @ V1a @ V0b ) @ V2x )
            & ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V0b @ V2x ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESBEFORE__AS__WHEN,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V0b @ V3t )
        <=> ( (~) @ ( V0b @ V3t ) ) )
     => ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
            ( ( F1 @ V1a @ V0b @ V4t )
          <=> ( ( V1a @ V4t )
              | ( V0b @ V4t ) ) )
       => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
            ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ V0b @ V2x )
          <=> ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ ( F0 @ V0b ) @ ( F1 @ V1a @ V0b ) @ V2x )
              & ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1a @ V2x ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EBEFORE__AS__WHEN__UNTIL,axiom,
    ! [F1: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
          ( ( F1 @ V0b @ V4t )
        <=> ( (~) @ ( V0b @ V4t ) ) )
     => ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
            ( ( F0 @ V0b @ V3t )
          <=> ( (~) @ ( V0b @ V3t ) ) )
       => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
            ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V0b @ V2x )
          <=> ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ ( F0 @ V0b ) @ V1a @ V2x )
              & ( mono_2Ec_2ETemporal__Logic_2EWHEN @ ( F1 @ V0b ) @ V1a @ V2x ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EBEFORE__HW,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V2a @ V1b @ V0t0 )
    <=> ? [V3q: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EWATCH @ V3q @ V2a @ V0t0 )
          & ! [V4t: mono_2Etyop_2Enum_2Enum] :
              ( ( V3q @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) )
              | ( (~) @ ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EALWAYS__AS__UNTIL,axiom,
    ! [F0: mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1t )
          = mono_2Ec_2Ebool_2EF )
     => ! [V0a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V0a )
          = ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V0a @ F0 ) ) ) ).

thf(thm_2ETemporal__Logic_2EEVENTUAL__AS__UNTIL,axiom,
    ! [F1: mono_2Etyop_2Enum_2Enum > $o,F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F1 @ V3t )
          = mono_2Ec_2Ebool_2EF )
     => ( ! [V0a: mono_2Etyop_2Enum_2Enum > $o,V2t: mono_2Etyop_2Enum_2Enum] :
            ( ( F0 @ V0a @ V2t )
          <=> ( (~) @ ( V0a @ V2t ) ) )
       => ! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1x: mono_2Etyop_2Enum_2Enum] :
            ( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V0a @ V1x )
          <=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ ( F0 @ V0a ) @ F1 @ V1x ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EWHEN__AS__UNTIL,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V2t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V0b @ V2t )
        <=> ( (~) @ ( V0b @ V2t ) ) )
     => ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
            ( ( F1 @ V1a @ V0b @ V3t )
          <=> ( ( V1a @ V3t )
              & ( V0b @ V3t ) ) )
       => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
            ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ V0b )
            = ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ ( F0 @ V0b ) @ ( F1 @ V1a @ V0b ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EBEFORE__AS__UNTIL,axiom,
    ! [F1: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
          ( ( F1 @ V0b @ V4t )
        <=> ( (~) @ ( V0b @ V4t ) ) )
     => ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
            ( ( F0 @ V1a @ V3t )
          <=> ( (~) @ ( V1a @ V3t ) ) )
       => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
            ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V0b @ V2x )
          <=> ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ ( F0 @ V1a ) @ V0b @ V2x ) )
              | ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ ( F1 @ V0b ) @ V2x ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESWHEN__AS__UNTIL,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V0b @ V3t )
        <=> ( (~) @ ( V0b @ V3t ) ) )
     => ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
            ( ( F1 @ V1a @ V0b @ V4t )
          <=> ( ( V1a @ V4t )
              & ( V0b @ V4t ) ) )
       => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
            ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ V0b @ V2x )
          <=> ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ ( F0 @ V0b ) @ ( F1 @ V1a @ V0b ) @ V2x )
              & ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V0b @ V2x ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESUNTIL__AS__UNTIL,axiom,
    ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ V0b @ V2x )
    <=> ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ V0b @ V2x )
        & ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V0b @ V2x ) ) ) ).

thf(thm_2ETemporal__Logic_2ESBEFORE__AS__UNTIL,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1a @ V3t )
        <=> ( (~) @ ( V1a @ V3t ) ) )
     => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ V0b @ V2x )
        <=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ ( F0 @ V1a ) @ V0b @ V2x ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EALWAYS__AS__BEFORE,axiom,
    ! [F0: mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1t )
          = mono_2Ec_2Ebool_2EF )
     => ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V2t: mono_2Etyop_2Enum_2Enum] :
            ( ( F1 @ V0b @ V2t )
          <=> ( (~) @ ( V0b @ V2t ) ) )
       => ! [V0b: mono_2Etyop_2Enum_2Enum > $o] :
            ( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V0b )
            = ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ F0 @ ( F1 @ V0b ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EEVENTUAL__AS__BEFORE,axiom,
    ! [F0: mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V2t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V2t )
          = mono_2Ec_2Ebool_2EF )
     => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1x: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V0b @ V1x )
        <=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ F0 @ V0b @ V1x ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EWHEN__AS__BEFORE,axiom,
    ! [F1: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
          ( ( F1 @ V0b @ V4t )
        <=> ( (~) @ ( V0b @ V4t ) ) )
     => ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
            ( ( F0 @ V1a @ V0b @ V3t )
          <=> ( ( V1a @ V3t )
              & ( V0b @ V3t ) ) )
       => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
            ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ V0b @ V2x )
          <=> ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V0b @ ( F0 @ V1a @ V0b ) @ V2x ) )
              | ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ ( F1 @ V0b ) @ V2x ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EUNTIL__AS__BEFORE,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1a @ V3t )
        <=> ( (~) @ ( V1a @ V3t ) ) )
     => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ V0b @ V2x )
        <=> ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F0 @ V1a ) @ V0b @ V2x ) )
            | ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V1a @ V2x ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESWHEN__AS__BEFORE,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1a @ V0b @ V3t )
        <=> ( ( V1a @ V3t )
            & ( V0b @ V3t ) ) )
     => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ V0b @ V2x )
        <=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V0b @ ( F0 @ V1a @ V0b ) @ V2x ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESUNTIL__AS__BEFORE,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1a @ V3t )
        <=> ( (~) @ ( V1a @ V3t ) ) )
     => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ V0b @ V2x )
        <=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F0 @ V1a ) @ V0b @ V2x ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESBEFORE__AS__BEFORE,axiom,
    ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ V0b @ V2x )
    <=> ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V0b @ V2x )
        & ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1a @ V2x ) ) ) ).

thf(thm_2ETemporal__Logic_2EWHEN__SWHEN__LEMMA,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o] :
      ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( F0 @ V0b )
        <=> ! [V2t1: mono_2Etyop_2Enum_2Enum] :
            ? [V3t2: mono_2Etyop_2Enum_2Enum] : ( V0b @ ( mono_2Ec_2Earithmetic_2E_2B @ V3t2 @ V2t1 ) ) )
     => ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o] :
            ( ( F2 @ V1a @ V0b )
          <=> ? [V5t1: mono_2Etyop_2Enum_2Enum] :
              ! [V6t2: mono_2Etyop_2Enum_2Enum] :
                ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ V0b @ ( mono_2Ec_2Earithmetic_2E_2B @ V6t2 @ V5t1 ) )
                & ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ V0b @ ( mono_2Ec_2Earithmetic_2E_2B @ V6t2 @ V5t1 ) ) ) ) )
       => ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o] :
              ( ( F1 @ V1a @ V0b )
            <=> ! [V4t0: mono_2Etyop_2Enum_2Enum] :
                  ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ V0b @ V4t0 )
                  = ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ V0b @ V4t0 ) ) )
         => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] : ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool @ ( F0 @ V0b ) @ ( F1 @ V1a @ V0b ) @ ( F2 @ V1a @ V0b ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EALWAYS__AS__SWHEN,axiom,
    ! [F0: mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V2t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V2t )
          = mono_2Ec_2Ebool_2ET )
     => ( ! [V0a: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
            ( ( F1 @ V0a @ V3t )
          <=> ( (~) @ ( V0a @ V3t ) ) )
       => ! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1x: mono_2Etyop_2Enum_2Enum] :
            ( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V0a @ V1x )
          <=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ F0 @ ( F1 @ V0a ) @ V1x ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EEVENTUAL__AS__SWHEN,axiom,
    ! [F0: mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1t )
          = mono_2Ec_2Ebool_2ET )
     => ! [V0a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V0a )
          = ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ F0 @ V0a ) ) ) ).

thf(thm_2ETemporal__Logic_2EWHEN__AS__SWHEN,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V0b @ V3t )
        <=> ( (~) @ ( V0b @ V3t ) ) )
     => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ V0b @ V2x )
        <=> ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ V0b @ V2x )
            | ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ ( F0 @ V0b ) @ V2x ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EWHEN__AS__NOT__SWHEN,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V2a @ V3t )
        <=> ( (~) @ ( V2a @ V3t ) ) )
     => ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V2a @ V1b @ V0t0 )
        <=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ ( F0 @ V2a ) @ V1b @ V0t0 ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EUNTIL__AS__SWHEN,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1a @ V0b @ V3t )
        <=> ( ( V1a @ V3t )
           => ( V0b @ V3t ) ) )
     => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ V0b @ V2x )
        <=> ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V0b @ ( F0 @ V1a @ V0b ) @ V2x )
            | ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V1a @ V2x ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EBEFORE__AS__SWHEN,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V0b @ V3t )
        <=> ( (~) @ ( V0b @ V3t ) ) )
     => ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
            ( ( F2 @ V1a @ V0b @ V4t )
          <=> ( ( V1a @ V4t )
              | ( V0b @ V4t ) ) )
       => ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V5t: mono_2Etyop_2Enum_2Enum] :
              ( ( F1 @ V1a @ V0b @ V5t )
            <=> ( ( (~) @ ( V1a @ V5t ) )
                & ( (~) @ ( V0b @ V5t ) ) ) )
         => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
              ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V0b @ V2x )
            <=> ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ ( F0 @ V0b ) @ ( F2 @ V1a @ V0b ) @ V2x )
                | ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ ( F1 @ V1a @ V0b ) @ V2x ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EBEFORE__AS__NOT__SWHEN,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1a @ V0b @ V3t )
        <=> ( ( V1a @ V3t )
            | ( V0b @ V3t ) ) )
     => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V0b @ V2x )
        <=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V0b @ ( F0 @ V1a @ V0b ) @ V2x ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESUNTIL__AS__SWHEN,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V2t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1a @ V0b @ V2t )
        <=> ( ( V1a @ V2t )
           => ( V0b @ V2t ) ) )
     => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ V0b )
          = ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V0b @ ( F0 @ V1a @ V0b ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESBEFORE__AS__SWHEN,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V2t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V0b @ V2t )
        <=> ( (~) @ ( V0b @ V2t ) ) )
     => ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
            ( ( F1 @ V1a @ V0b @ V3t )
          <=> ( ( V1a @ V3t )
              | ( V0b @ V3t ) ) )
       => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
            ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ V0b )
            = ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ ( F0 @ V0b ) @ ( F1 @ V1a @ V0b ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EALWAYS__AS__SUNTIL,axiom,
    ! [F0: mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V2t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V2t )
          = mono_2Ec_2Ebool_2ET )
     => ( ! [V0a: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
            ( ( F1 @ V0a @ V3t )
          <=> ( (~) @ ( V0a @ V3t ) ) )
       => ! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1x: mono_2Etyop_2Enum_2Enum] :
            ( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V0a @ V1x )
          <=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ F0 @ ( F1 @ V0a ) @ V1x ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EEVENTUAL__AS__SUNTIL,axiom,
    ! [F0: mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1t )
          = mono_2Ec_2Ebool_2ET )
     => ! [V0a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V0a )
          = ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ F0 @ V0a ) ) ) ).

thf(thm_2ETemporal__Logic_2EWHEN__AS__SUNTIL,axiom,
    ! [F1: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V5t: mono_2Etyop_2Enum_2Enum] :
          ( ( F1 @ V0b @ V5t )
        <=> ( (~) @ ( V0b @ V5t ) ) )
     => ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
            ( ( F0 @ V0b @ V3t )
          <=> ( (~) @ ( V0b @ V3t ) ) )
       => ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
              ( ( F2 @ V1a @ V0b @ V4t )
            <=> ( ( V1a @ V4t )
                & ( V0b @ V4t ) ) )
         => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
              ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ V0b @ V2x )
            <=> ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F0 @ V0b ) @ ( F2 @ V1a @ V0b ) @ V2x )
                | ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ ( F1 @ V0b ) @ V2x ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EUNTIL__AS__SUNTIL,axiom,
    ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ V0b @ V2x )
    <=> ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ V0b @ V2x )
        | ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V1a @ V2x ) ) ) ).

thf(thm_2ETemporal__Logic_2EBEFORE__AS__SUNTIL,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1a @ V3t )
        <=> ( (~) @ ( V1a @ V3t ) ) )
     => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V0b @ V2x )
        <=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F0 @ V1a ) @ V0b @ V2x ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESWHEN__AS__SUNTIL,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V2t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V0b @ V2t )
        <=> ( (~) @ ( V0b @ V2t ) ) )
     => ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
            ( ( F1 @ V1a @ V0b @ V3t )
          <=> ( ( V1a @ V3t )
              & ( V0b @ V3t ) ) )
       => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
            ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ V0b )
            = ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F0 @ V0b ) @ ( F1 @ V1a @ V0b ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESBEFORE__AS__SUNTIL,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1a @ V3t )
        <=> ( (~) @ ( V1a @ V3t ) ) )
     => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ V0b @ V2x )
        <=> ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F0 @ V1a ) @ V0b @ V2x ) )
            & ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1a @ V2x ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EALWAYS__AS__SBEFORE,axiom,
    ! [F1: mono_2Etyop_2Enum_2Enum > $o,F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F1 @ V3t )
          = mono_2Ec_2Ebool_2EF )
     => ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V2t: mono_2Etyop_2Enum_2Enum] :
            ( ( F0 @ V0b @ V2t )
          <=> ( (~) @ ( V0b @ V2t ) ) )
       => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1x: mono_2Etyop_2Enum_2Enum] :
            ( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V0b @ V1x )
          <=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ ( F0 @ V0b ) @ F1 @ V1x ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EEVENTUAL__AS__SBEFORE,axiom,
    ! [F0: mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1t )
          = mono_2Ec_2Ebool_2EF )
     => ! [V0b: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V0b )
          = ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V0b @ F0 ) ) ) ).

thf(thm_2ETemporal__Logic_2EWHEN__AS__SBEFORE,axiom,
    ! [F1: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
          ( ( F1 @ V0b @ V4t )
        <=> ( (~) @ ( V0b @ V4t ) ) )
     => ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
            ( ( F0 @ V1a @ V0b @ V3t )
          <=> ( ( (~) @ ( V1a @ V3t ) )
              & ( V0b @ V3t ) ) )
       => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
            ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ V0b @ V2x )
          <=> ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V0b @ ( F0 @ V1a @ V0b ) @ V2x )
              | ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ ( F1 @ V0b ) @ V2x ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EUNTIL__AS__SBEFORE,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1a @ V3t )
        <=> ( (~) @ ( V1a @ V3t ) ) )
     => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ V0b @ V2x )
        <=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ ( F0 @ V1a ) @ V0b @ V2x ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESWHEN__AS__SBEFORE,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V2t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1a @ V0b @ V2t )
        <=> ( ( (~) @ ( V1a @ V2t ) )
            & ( V0b @ V2t ) ) )
     => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ V0b )
          = ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V0b @ ( F0 @ V1a @ V0b ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESUNTIL__AS__SBEFORE,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1a @ V3t )
        <=> ( (~) @ ( V1a @ V3t ) ) )
     => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ V0b @ V2x )
        <=> ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ ( F0 @ V1a ) @ V0b @ V2x ) )
            & ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V0b @ V2x ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EBEFORE__AS__SBEFORE,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V0b @ V3t )
        <=> ( (~) @ ( V0b @ V3t ) ) )
     => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V0b @ V2x )
        <=> ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ V0b @ V2x )
            | ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ ( F0 @ V0b ) @ V2x ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EWHEN__SIMP,axiom,
    ! [F4: mono_2Etyop_2Enum_2Enum > $o,F2: mono_2Etyop_2Enum_2Enum > $o,F3: mono_2Etyop_2Enum_2Enum > $o,F0: mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V9t: mono_2Etyop_2Enum_2Enum] :
          ( ( F4 @ V9t )
          = mono_2Ec_2Ebool_2ET )
     => ( ! [V5t: mono_2Etyop_2Enum_2Enum] :
            ( ( F2 @ V5t )
            = mono_2Ec_2Ebool_2ET )
       => ( ! [V7t: mono_2Etyop_2Enum_2Enum] :
              ( ( F3 @ V7t )
              = mono_2Ec_2Ebool_2EF )
         => ( ! [V2t: mono_2Etyop_2Enum_2Enum] :
                ( ( F0 @ V2t )
                = mono_2Ec_2Ebool_2EF )
           => ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
                  ( ( F1 @ V0b @ V3t )
                <=> ( (~) @ ( V0b @ V3t ) ) )
             => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
                  ( ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ F0 @ V0b )
                    = ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ ( F1 @ V0b ) ) )
                  & ! [V4x: mono_2Etyop_2Enum_2Enum] :
                      ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ F2 @ V0b @ V4x )
                      = mono_2Ec_2Ebool_2ET )
                  & ! [V6x: mono_2Etyop_2Enum_2Enum] :
                      ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ F3 @ V6x )
                      = mono_2Ec_2Ebool_2ET )
                  & ! [V8x: mono_2Etyop_2Enum_2Enum] :
                      ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ F4 @ V8x )
                      = ( V1a @ V8x ) )
                  & ! [V10x: mono_2Etyop_2Enum_2Enum] :
                      ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ V1a @ V10x )
                      = mono_2Ec_2Ebool_2ET ) ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EUNTIL__SIMP,axiom,
    ! [F3: mono_2Etyop_2Enum_2Enum > $o,F1: mono_2Etyop_2Enum_2Enum > $o,F2: mono_2Etyop_2Enum_2Enum > $o,F0: mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V8t: mono_2Etyop_2Enum_2Enum] :
          ( ( F3 @ V8t )
          = mono_2Ec_2Ebool_2ET )
     => ( ! [V5t: mono_2Etyop_2Enum_2Enum] :
            ( ( F1 @ V5t )
            = mono_2Ec_2Ebool_2ET )
       => ( ! [V6t: mono_2Etyop_2Enum_2Enum] :
              ( ( F2 @ V6t )
              = mono_2Ec_2Ebool_2EF )
         => ( ! [V3t: mono_2Etyop_2Enum_2Enum] :
                ( ( F0 @ V3t )
                = mono_2Ec_2Ebool_2EF )
           => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
                ( ! [V2x: mono_2Etyop_2Enum_2Enum] :
                    ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ F0 @ V0b @ V2x )
                    = ( V0b @ V2x ) )
                & ! [V4x: mono_2Etyop_2Enum_2Enum] :
                    ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ F1 @ V0b @ V4x )
                    = mono_2Ec_2Ebool_2ET )
                & ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ F2 )
                  = ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V1a ) )
                & ! [V7x: mono_2Etyop_2Enum_2Enum] :
                    ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ F3 @ V7x )
                    = mono_2Ec_2Ebool_2ET )
                & ! [V9x: mono_2Etyop_2Enum_2Enum] :
                    ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ V1a @ V9x )
                    = ( V1a @ V9x ) ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EBEFORE__SIMP,axiom,
    ! [F4: mono_2Etyop_2Enum_2Enum > $o,F2: mono_2Etyop_2Enum_2Enum > $o,F3: mono_2Etyop_2Enum_2Enum > $o,F0: mono_2Etyop_2Enum_2Enum > $o,F5: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V9t: mono_2Etyop_2Enum_2Enum] :
          ( ( F4 @ V9t )
          = mono_2Ec_2Ebool_2ET )
     => ( ! [V5t: mono_2Etyop_2Enum_2Enum] :
            ( ( F2 @ V5t )
            = mono_2Ec_2Ebool_2ET )
       => ( ! [V7t: mono_2Etyop_2Enum_2Enum] :
              ( ( F3 @ V7t )
              = mono_2Ec_2Ebool_2EF )
         => ( ! [V2t: mono_2Etyop_2Enum_2Enum] :
                ( ( F0 @ V2t )
                = mono_2Ec_2Ebool_2EF )
           => ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V10t: mono_2Etyop_2Enum_2Enum] :
                  ( ( F5 @ V1a @ V10t )
                <=> ( (~) @ ( V1a @ V10t ) ) )
             => ( ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
                    ( ( F1 @ V0b @ V3t )
                  <=> ( (~) @ ( V0b @ V3t ) ) )
               => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
                    ( ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ F0 @ V0b )
                      = ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ ( F1 @ V0b ) ) )
                    & ! [V4x: mono_2Etyop_2Enum_2Enum] :
                        ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ F2 @ V0b @ V4x )
                      <=> ( (~) @ ( V0b @ V4x ) ) )
                    & ! [V6x: mono_2Etyop_2Enum_2Enum] :
                        ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ F3 @ V6x )
                        = mono_2Ec_2Ebool_2ET )
                    & ! [V8x: mono_2Etyop_2Enum_2Enum] :
                        ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ F4 @ V8x )
                        = mono_2Ec_2Ebool_2EF )
                    & ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V1a )
                      = ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ ( F5 @ V1a ) ) ) ) ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESWHEN__SIMP,axiom,
    ! [F3: mono_2Etyop_2Enum_2Enum > $o,F1: mono_2Etyop_2Enum_2Enum > $o,F2: mono_2Etyop_2Enum_2Enum > $o,F0: mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V8t: mono_2Etyop_2Enum_2Enum] :
          ( ( F3 @ V8t )
          = mono_2Ec_2Ebool_2ET )
     => ( ! [V4t: mono_2Etyop_2Enum_2Enum] :
            ( ( F1 @ V4t )
            = mono_2Ec_2Ebool_2ET )
       => ( ! [V6t: mono_2Etyop_2Enum_2Enum] :
              ( ( F2 @ V6t )
              = mono_2Ec_2Ebool_2EF )
         => ( ! [V3t: mono_2Etyop_2Enum_2Enum] :
                ( ( F0 @ V3t )
                = mono_2Ec_2Ebool_2EF )
           => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
                ( ! [V2x: mono_2Etyop_2Enum_2Enum] :
                    ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ F0 @ V0b @ V2x )
                    = mono_2Ec_2Ebool_2EF )
                & ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ F1 @ V0b )
                  = ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V0b ) )
                & ! [V5x: mono_2Etyop_2Enum_2Enum] :
                    ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ F2 @ V5x )
                    = mono_2Ec_2Ebool_2EF )
                & ! [V7x: mono_2Etyop_2Enum_2Enum] :
                    ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ F3 @ V7x )
                    = ( V1a @ V7x ) )
                & ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ V1a )
                  = ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1a ) ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESUNTIL__SIMP,axiom,
    ! [F3: mono_2Etyop_2Enum_2Enum > $o,F1: mono_2Etyop_2Enum_2Enum > $o,F2: mono_2Etyop_2Enum_2Enum > $o,F0: mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V8t: mono_2Etyop_2Enum_2Enum] :
          ( ( F3 @ V8t )
          = mono_2Ec_2Ebool_2ET )
     => ( ! [V4t: mono_2Etyop_2Enum_2Enum] :
            ( ( F1 @ V4t )
            = mono_2Ec_2Ebool_2ET )
       => ( ! [V6t: mono_2Etyop_2Enum_2Enum] :
              ( ( F2 @ V6t )
              = mono_2Ec_2Ebool_2EF )
         => ( ! [V3t: mono_2Etyop_2Enum_2Enum] :
                ( ( F0 @ V3t )
                = mono_2Ec_2Ebool_2EF )
           => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
                ( ! [V2x: mono_2Etyop_2Enum_2Enum] :
                    ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ F0 @ V0b @ V2x )
                    = ( V0b @ V2x ) )
                & ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ F1 @ V0b )
                  = ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V0b ) )
                & ! [V5x: mono_2Etyop_2Enum_2Enum] :
                    ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ F2 @ V5x )
                    = mono_2Ec_2Ebool_2EF )
                & ! [V7x: mono_2Etyop_2Enum_2Enum] :
                    ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ F3 @ V7x )
                    = mono_2Ec_2Ebool_2ET )
                & ! [V9x: mono_2Etyop_2Enum_2Enum] :
                    ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ V1a @ V9x )
                    = ( V1a @ V9x ) ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESBEFORE__SIMP,axiom,
    ! [F3: mono_2Etyop_2Enum_2Enum > $o,F1: mono_2Etyop_2Enum_2Enum > $o,F2: mono_2Etyop_2Enum_2Enum > $o,F0: mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V8t: mono_2Etyop_2Enum_2Enum] :
          ( ( F3 @ V8t )
          = mono_2Ec_2Ebool_2ET )
     => ( ! [V5t: mono_2Etyop_2Enum_2Enum] :
            ( ( F1 @ V5t )
            = mono_2Ec_2Ebool_2ET )
       => ( ! [V6t: mono_2Etyop_2Enum_2Enum] :
              ( ( F2 @ V6t )
              = mono_2Ec_2Ebool_2EF )
         => ( ! [V3t: mono_2Etyop_2Enum_2Enum] :
                ( ( F0 @ V3t )
                = mono_2Ec_2Ebool_2EF )
           => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
                ( ! [V2x: mono_2Etyop_2Enum_2Enum] :
                    ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ F0 @ V0b @ V2x )
                    = mono_2Ec_2Ebool_2EF )
                & ! [V4x: mono_2Etyop_2Enum_2Enum] :
                    ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ F1 @ V0b @ V4x )
                  <=> ( (~) @ ( V0b @ V4x ) ) )
                & ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ F2 )
                  = ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1a ) )
                & ! [V7x: mono_2Etyop_2Enum_2Enum] :
                    ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ F3 @ V7x )
                    = mono_2Ec_2Ebool_2EF )
                & ! [V9x: mono_2Etyop_2Enum_2Enum] :
                    ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ V1a @ V9x )
                    = mono_2Ec_2Ebool_2EF ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EWHEN__EVENT,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V2t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1a @ V0b @ V2t )
        <=> ( ( V1a @ V2t )
            & ( V0b @ V2t ) ) )
     => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ V0b )
          = ( mono_2Ec_2ETemporal__Logic_2EWHEN @ ( F0 @ V1a @ V0b ) @ V0b ) ) ) ).

thf(thm_2ETemporal__Logic_2EUNTIL__EVENT,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V2t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1a @ V0b @ V2t )
        <=> ( ( V1a @ V2t )
            & ( (~) @ ( V0b @ V2t ) ) ) )
     => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ V0b )
          = ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ ( F0 @ V1a @ V0b ) @ V0b ) ) ) ).

thf(thm_2ETemporal__Logic_2EBEFORE__EVENT,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V2t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1a @ V0b @ V2t )
        <=> ( ( V1a @ V2t )
            & ( (~) @ ( V0b @ V2t ) ) ) )
     => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V0b )
          = ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F0 @ V1a @ V0b ) @ V0b ) ) ) ).

thf(thm_2ETemporal__Logic_2ESWHEN__EVENT,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V2t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1a @ V0b @ V2t )
        <=> ( ( V1a @ V2t )
            & ( V0b @ V2t ) ) )
     => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ V0b )
          = ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ ( F0 @ V1a @ V0b ) @ V0b ) ) ) ).

thf(thm_2ETemporal__Logic_2ESUNTIL__EVENT,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V2t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1a @ V0b @ V2t )
        <=> ( ( V1a @ V2t )
            & ( (~) @ ( V0b @ V2t ) ) ) )
     => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ V0b )
          = ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F0 @ V1a @ V0b ) @ V0b ) ) ) ).

thf(thm_2ETemporal__Logic_2ESBEFORE__EVENT,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V2t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1a @ V0b @ V2t )
        <=> ( ( V1a @ V2t )
            & ( (~) @ ( V0b @ V2t ) ) ) )
     => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ V0b )
          = ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ ( F0 @ V1a @ V0b ) @ V0b ) ) ) ).

thf(thm_2ETemporal__Logic_2EIMMEDIATE__EVENT,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( V1b @ V0t0 )
     => ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o] :
            ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V2a @ V1b @ V0t0 )
            = ( V2a @ V0t0 ) )
        & ! [V3a: mono_2Etyop_2Enum_2Enum > $o] :
            ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V3a @ V1b @ V0t0 )
            = mono_2Ec_2Ebool_2ET )
        & ! [V4a: mono_2Etyop_2Enum_2Enum > $o] :
            ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V4a @ V1b @ V0t0 )
            = mono_2Ec_2Ebool_2EF )
        & ! [V5a: mono_2Etyop_2Enum_2Enum > $o] :
            ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V5a @ V1b @ V0t0 )
            = ( V5a @ V0t0 ) )
        & ! [V6a: mono_2Etyop_2Enum_2Enum > $o] :
            ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V6a @ V1b @ V0t0 )
            = mono_2Ec_2Ebool_2ET )
        & ! [V7a: mono_2Etyop_2Enum_2Enum > $o] :
            ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V7a @ V1b @ V0t0 )
            = mono_2Ec_2Ebool_2EF ) ) ) ).

thf(thm_2ETemporal__Logic_2ENO__EVENT,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1b: mono_2Etyop_2Enum_2Enum > $o,V2t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1b @ V2t )
        <=> ( (~) @ ( V1b @ V2t ) ) )
     => ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ ( F0 @ V1b ) @ V0t0 )
         => ( ! [V3a: mono_2Etyop_2Enum_2Enum > $o] :
                ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V3a @ V1b @ V0t0 )
                = mono_2Ec_2Ebool_2ET )
            & ! [V4a: mono_2Etyop_2Enum_2Enum > $o] :
                ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V4a @ V1b @ V0t0 )
                = ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V4a @ V0t0 ) )
            & ! [V5a: mono_2Etyop_2Enum_2Enum > $o] :
                ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V5a @ V1b @ V0t0 )
                = mono_2Ec_2Ebool_2ET )
            & ! [V6a: mono_2Etyop_2Enum_2Enum > $o] :
                ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V6a @ V1b @ V0t0 )
                = mono_2Ec_2Ebool_2EF )
            & ! [V7a: mono_2Etyop_2Enum_2Enum > $o] :
                ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V7a @ V1b @ V0t0 )
                = mono_2Ec_2Ebool_2EF )
            & ! [V8a: mono_2Etyop_2Enum_2Enum > $o] :
                ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V8a @ V1b @ V0t0 )
                = ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V8a @ V0t0 ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESOME__EVENT,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1b @ V0t0 )
      <=> ! [V2a: mono_2Etyop_2Enum_2Enum > $o] :
            ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V2a @ V1b @ V0t0 )
            = ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V2a @ V1b @ V0t0 ) ) )
      & ( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1b @ V0t0 )
      <=> ! [V3a: mono_2Etyop_2Enum_2Enum > $o] :
            ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V3a @ V1b @ V0t0 )
            = ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V3a @ V1b @ V0t0 ) ) )
      & ( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1b @ V0t0 )
      <=> ! [V4a: mono_2Etyop_2Enum_2Enum > $o] :
            ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V4a @ V1b @ V0t0 )
            = ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V4a @ V1b @ V0t0 ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EMORE__EVENT,axiom,
    ! [F5: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F4: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F2: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F1: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F3: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o,F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V7t: mono_2Etyop_2Enum_2Enum] :
          ( ( F5 @ V1a @ V0b @ V7t )
        <=> ( ( V1a @ V7t )
            & ( (~) @ ( V0b @ V7t ) ) ) )
     => ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V6t: mono_2Etyop_2Enum_2Enum] :
            ( ( F4 @ V1a @ V0b @ V6t )
          <=> ( ( V1a @ V6t )
              & ( (~) @ ( V0b @ V6t ) ) ) )
       => ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V4t: mono_2Etyop_2Enum_2Enum] :
              ( ( F2 @ V1a @ V0b @ V4t )
            <=> ( ( V1a @ V4t )
                & ( (~) @ ( V0b @ V4t ) ) ) )
         => ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
                ( ( F1 @ V1a @ V0b @ V3t )
              <=> ( ( V1a @ V3t )
                  & ( (~) @ ( V0b @ V3t ) ) ) )
           => ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V5t: mono_2Etyop_2Enum_2Enum] :
                  ( ( F3 @ V1a @ V0b @ V5t )
                <=> ( ( V1a @ V5t )
                    & ( V0b @ V5t ) ) )
             => ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V0b: mono_2Etyop_2Enum_2Enum > $o,V2t: mono_2Etyop_2Enum_2Enum] :
                    ( ( F0 @ V1a @ V0b @ V2t )
                  <=> ( ( V1a @ V2t )
                      & ( V0b @ V2t ) ) )
               => ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
                    ( ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ V0b )
                      = ( mono_2Ec_2ETemporal__Logic_2EWHEN @ ( F0 @ V1a @ V0b ) @ V0b ) )
                    & ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ V0b )
                      = ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ ( F1 @ V1a @ V0b ) @ V0b ) )
                    & ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V0b )
                      = ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F2 @ V1a @ V0b ) @ V0b ) )
                    & ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ V0b )
                      = ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ ( F3 @ V1a @ V0b ) @ V0b ) )
                    & ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ V0b )
                      = ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F4 @ V1a @ V0b ) @ V0b ) )
                    & ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ V0b )
                      = ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ ( F5 @ V1a @ V0b ) @ V0b ) ) ) ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ENOT__NEXT,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V0P: mono_2Etyop_2Enum_2Enum > $o,V2t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V0P @ V2t )
        <=> ( (~) @ ( V0P @ V2t ) ) )
     => ! [V0P: mono_2Etyop_2Enum_2Enum > $o,V1x: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F0 @ V0P ) @ V1x )
        <=> ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0P @ V1x ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EAND__NEXT,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1P: mono_2Etyop_2Enum_2Enum > $o,V0Q: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1P @ V0Q @ V3t )
        <=> ( ( V1P @ V3t )
            & ( V0Q @ V3t ) ) )
     => ! [V0Q: mono_2Etyop_2Enum_2Enum > $o,V1P: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F0 @ V1P @ V0Q ) @ V2x )
        <=> ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1P @ V2x )
            & ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0Q @ V2x ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EOR__NEXT,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1P: mono_2Etyop_2Enum_2Enum > $o,V0Q: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1P @ V0Q @ V3t )
        <=> ( ( V1P @ V3t )
            | ( V0Q @ V3t ) ) )
     => ! [V0Q: mono_2Etyop_2Enum_2Enum > $o,V1P: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F0 @ V1P @ V0Q ) @ V2x )
        <=> ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1P @ V2x )
            | ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0Q @ V2x ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EIMP__NEXT,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1P: mono_2Etyop_2Enum_2Enum > $o,V0Q: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1P @ V0Q @ V3t )
        <=> ( ( V1P @ V3t )
           => ( V0Q @ V3t ) ) )
     => ! [V0Q: mono_2Etyop_2Enum_2Enum > $o,V1P: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F0 @ V1P @ V0Q ) @ V2x )
        <=> ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1P @ V2x )
           => ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0Q @ V2x ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EEQUIV__NEXT,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1P: mono_2Etyop_2Enum_2Enum > $o,V0Q: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1P @ V0Q @ V3t )
        <=> ( ( V1P @ V3t )
            = ( V0Q @ V3t ) ) )
     => ! [V0Q: mono_2Etyop_2Enum_2Enum > $o,V1P: mono_2Etyop_2Enum_2Enum > $o,V2x: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( F0 @ V1P @ V0Q ) @ V2x )
        <=> ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1P @ V2x )
            = ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0Q @ V2x ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EALWAYS__NEXT,axiom,
    ! [V0a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V0a ) )
      = ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0a ) ) ) ).

thf(thm_2ETemporal__Logic_2EEVENTUAL__NEXT,axiom,
    ! [V0a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V0a ) )
      = ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0a ) ) ) ).

thf(thm_2ETemporal__Logic_2EWHEN__NEXT,axiom,
    ! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V0a @ V1b ) )
      = ( mono_2Ec_2ETemporal__Logic_2EWHEN @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0a ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b ) ) ) ).

thf(thm_2ETemporal__Logic_2EUNTIL__NEXT,axiom,
    ! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V0a @ V1b ) )
      = ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0a ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b ) ) ) ).

thf(thm_2ETemporal__Logic_2EBEFORE__NEXT,axiom,
    ! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V0a @ V1b ) )
      = ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0a ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b ) ) ) ).

thf(thm_2ETemporal__Logic_2ESWHEN__NEXT,axiom,
    ! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V0a @ V1b ) )
      = ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0a ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b ) ) ) ).

thf(thm_2ETemporal__Logic_2ESUNTIL__NEXT,axiom,
    ! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V0a @ V1b ) )
      = ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0a ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b ) ) ) ).

thf(thm_2ETemporal__Logic_2ESBEFORE__NEXT,axiom,
    ! [V0a: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V0a @ V1b ) )
      = ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V0a ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ V1b ) ) ) ).

thf(thm_2ETemporal__Logic_2EALWAYS__REC,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1P: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V1P @ V0t0 )
    <=> ( ( V1P @ V0t0 )
        & ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V1P ) @ V0t0 ) ) ) ).

thf(thm_2ETemporal__Logic_2EEVENTUAL__REC,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1P: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1P @ V0t0 )
    <=> ( ( V1P @ V0t0 )
        | ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1P ) @ V0t0 ) ) ) ).

thf(thm_2ETemporal__Logic_2EWATCH__REC,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1q: mono_2Etyop_2Enum_2Enum > $o,V2b: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EWATCH @ V1q @ V2b @ V0t0 )
    <=> ( ( (~) @ ( V1q @ V0t0 ) )
        & ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool @ ( V2b @ V0t0 ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V1q ) @ V0t0 ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EWATCH @ V1q @ V2b ) @ V0t0 ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EWHEN__REC,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V2a @ V1b @ V0t0 )
      = ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool @ ( V1b @ V0t0 ) @ ( V2a @ V0t0 ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V2a @ V1b ) @ V0t0 ) ) ) ).

thf(thm_2ETemporal__Logic_2EUNTIL__REC,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V2a @ V1b @ V0t0 )
    <=> ( ( (~) @ ( V1b @ V0t0 ) )
       => ( ( V2a @ V0t0 )
          & ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V2a @ V1b ) @ V0t0 ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EBEFORE__REC,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V2a @ V1b @ V0t0 )
    <=> ( ( (~) @ ( V1b @ V0t0 ) )
        & ( ( V2a @ V0t0 )
          | ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V2a @ V1b ) @ V0t0 ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESWHEN__REC,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V2a @ V1b @ V0t0 )
      = ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool @ ( V1b @ V0t0 ) @ ( V2a @ V0t0 ) @ ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V2a @ V1b ) @ V0t0 ) ) ) ).

thf(thm_2ETemporal__Logic_2ESUNTIL__REC,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V2a @ V1b @ V0t0 )
    <=> ( ( (~) @ ( V1b @ V0t0 ) )
       => ( ( V2a @ V0t0 )
          & ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V2a @ V1b ) @ V0t0 ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESBEFORE__REC,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V2a @ V1b @ V0t0 )
    <=> ( ( (~) @ ( V1b @ V0t0 ) )
        & ( ( V2a @ V0t0 )
          | ( mono_2Ec_2ETemporal__Logic_2ENEXT @ ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V2a @ V1b ) @ V0t0 ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EALWAYS__FIX,axiom,
    ! [V0y: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V2x: mono_2Etyop_2Enum_2Enum] :
          ( ( V0y @ V2x )
        <=> ( ( V1a @ V2x )
            & ( V0y @ ( mono_2Ec_2Earithmetic_2E_2B @ V2x @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) )
    <=> ( ( V0y
          = ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V1a ) )
        | ! [V3x: mono_2Etyop_2Enum_2Enum] :
            ( ( V0y @ V3x )
            = mono_2Ec_2Ebool_2EF ) ) ) ).

thf(thm_2ETemporal__Logic_2EEVENTUAL__FIX,axiom,
    ! [V0y: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V2x: mono_2Etyop_2Enum_2Enum] :
          ( ( V0y @ V2x )
        <=> ( ( V1a @ V2x )
            | ( V0y @ ( mono_2Ec_2Earithmetic_2E_2B @ V2x @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) )
    <=> ( ( V0y
          = ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1a ) )
        | ! [V3x: mono_2Etyop_2Enum_2Enum] :
            ( ( V0y @ V3x )
            = mono_2Ec_2Ebool_2ET ) ) ) ).

thf(thm_2ETemporal__Logic_2EWHEN__FIX,axiom,
    ! [V0y: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V3x: mono_2Etyop_2Enum_2Enum] :
          ( ( V0y @ V3x )
          = ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool @ ( V1b @ V3x ) @ ( V2a @ V3x ) @ ( V0y @ ( mono_2Ec_2Earithmetic_2E_2B @ V3x @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) )
    <=> ( ( V0y
          = ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V2a @ V1b ) )
        | ( V0y
          = ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V2a @ V1b ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EUNTIL__FIX,axiom,
    ! [V0y: mono_2Etyop_2Enum_2Enum > $o,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V3x: mono_2Etyop_2Enum_2Enum] :
          ( ( V0y @ V3x )
        <=> ( ( (~) @ ( V1b @ V3x ) )
           => ( ( V2a @ V3x )
              & ( V0y @ ( mono_2Ec_2Earithmetic_2E_2B @ V3x @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ) )
    <=> ( ( V0y
          = ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V2a @ V1b ) )
        | ( V0y
          = ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V2a @ V1b ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EBEFORE__FIX,axiom,
    ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2y: mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V3x: mono_2Etyop_2Enum_2Enum] :
          ( ( V2y @ V3x )
        <=> ( ( (~) @ ( V0b @ V3x ) )
            & ( ( V1a @ V3x )
              | ( V2y @ ( mono_2Ec_2Earithmetic_2E_2B @ V3x @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ) )
    <=> ( ( V2y
          = ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V0b ) )
        | ( V2y
          = ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ V0b ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EWHEN__INVARIANT,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V2a @ V1b @ V0t0 )
    <=> ? [V3J: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( V3J @ V0t0 )
          & ! [V4t: mono_2Etyop_2Enum_2Enum] :
              ( ( ( (~) @ ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) )
                & ( V3J @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) )
             => ( V3J @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) ) )
          & ! [V5d: mono_2Etyop_2Enum_2Enum] :
              ( ( ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V5d @ V0t0 ) )
                & ( V3J @ ( mono_2Ec_2Earithmetic_2E_2B @ V5d @ V0t0 ) ) )
             => ( V2a @ ( mono_2Ec_2Earithmetic_2E_2B @ V5d @ V0t0 ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EUNTIL__INVARIANT,axiom,
    ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o,V2t0: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ V0b @ V2t0 )
    <=> ? [V3J: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( V3J @ V2t0 )
          & ! [V4t: mono_2Etyop_2Enum_2Enum] :
              ( ( ( V3J @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V2t0 ) )
                & ( (~) @ ( V0b @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V2t0 ) ) ) )
             => ( ( V1a @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V2t0 ) )
                & ( V3J @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V2t0 ) ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EBEFORE__INVARIANT,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V2a @ V1b @ V0t0 )
    <=> ? [V3J: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( V3J @ V0t0 )
          & ! [V4t: mono_2Etyop_2Enum_2Enum] :
              ( ( ( V3J @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) )
                & ( (~) @ ( V2a @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) ) )
             => ( V3J @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) ) )
          & ! [V5d: mono_2Etyop_2Enum_2Enum] :
              ( ( V3J @ ( mono_2Ec_2Earithmetic_2E_2B @ V5d @ V0t0 ) )
             => ( (~) @ ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V5d @ V0t0 ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EALWAYS__INVARIANT,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V1a @ V0t0 )
    <=> ? [V2J: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( V2J @ V0t0 )
          & ! [V3t: mono_2Etyop_2Enum_2Enum] :
              ( ( V2J @ ( mono_2Ec_2Earithmetic_2E_2B @ V3t @ V0t0 ) )
             => ( ( V1a @ ( mono_2Ec_2Earithmetic_2E_2B @ V3t @ V0t0 ) )
                & ( V2J @ ( mono_2Ec_2Earithmetic_2E_2B @ V3t @ ( mono_2Ec_2Earithmetic_2E_2B @ V0t0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EEVENTUAL__INVARIANT,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1b @ V0t0 )
    <=> ? [V2J: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ ( V2J @ V0t0 ) )
          & ! [V3t: mono_2Etyop_2Enum_2Enum] :
              ( ( mono_2Ec_2Eprim__rec_2E_3C @ ( V2J @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V3t @ V0t0 ) ) ) @ ( V2J @ ( mono_2Ec_2Earithmetic_2E_2B @ V3t @ V0t0 ) ) )
              | ( ( V2J @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V3t @ V0t0 ) ) )
                = mono_2Ec_2Enum_2E0 ) )
          & ! [V4t: mono_2Etyop_2Enum_2Enum] :
              ( ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ ( V2J @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) )
                & ( ( V2J @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) )
                  = mono_2Ec_2Enum_2E0 ) )
             => ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESWHEN__INVARIANT,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V2a @ V1b @ V0t0 )
    <=> ( ? [V3J1: mono_2Etyop_2Enum_2Enum > $o] :
            ( ( V3J1 @ V0t0 )
            & ! [V4t: mono_2Etyop_2Enum_2Enum] :
                ( ( ( (~) @ ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) )
                  & ( V3J1 @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) )
               => ( V3J1 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) ) )
            & ! [V5d: mono_2Etyop_2Enum_2Enum] :
                ( ( ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V5d @ V0t0 ) )
                  & ( V3J1 @ ( mono_2Ec_2Earithmetic_2E_2B @ V5d @ V0t0 ) ) )
               => ( V2a @ ( mono_2Ec_2Earithmetic_2E_2B @ V5d @ V0t0 ) ) ) )
        & ? [V6J2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
            ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ ( V6J2 @ V0t0 ) )
            & ! [V7t: mono_2Etyop_2Enum_2Enum] :
                ( ( mono_2Ec_2Eprim__rec_2E_3C @ ( V6J2 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V7t @ V0t0 ) ) ) @ ( V6J2 @ ( mono_2Ec_2Earithmetic_2E_2B @ V7t @ V0t0 ) ) )
                | ( ( V6J2 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V7t @ V0t0 ) ) )
                  = mono_2Ec_2Enum_2E0 ) )
            & ! [V8t: mono_2Etyop_2Enum_2Enum] :
                ( ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ ( V6J2 @ ( mono_2Ec_2Earithmetic_2E_2B @ V8t @ V0t0 ) ) )
                  & ( ( V6J2 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V8t @ V0t0 ) ) )
                    = mono_2Ec_2Enum_2E0 ) )
               => ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V8t @ V0t0 ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESUNTIL__INVARIANT,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V2a @ V1b @ V0t0 )
    <=> ( ? [V3J1: mono_2Etyop_2Enum_2Enum > $o] :
            ( ( V3J1 @ V0t0 )
            & ! [V4t: mono_2Etyop_2Enum_2Enum] :
                ( ( ( V3J1 @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) )
                  & ( (~) @ ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) ) )
               => ( ( V2a @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) )
                  & ( V3J1 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) ) ) ) )
        & ? [V5J2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
            ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ ( V5J2 @ V0t0 ) )
            & ! [V6t: mono_2Etyop_2Enum_2Enum] :
                ( ( mono_2Ec_2Eprim__rec_2E_3C @ ( V5J2 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V6t @ V0t0 ) ) ) @ ( V5J2 @ ( mono_2Ec_2Earithmetic_2E_2B @ V6t @ V0t0 ) ) )
                | ( ( V5J2 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V6t @ V0t0 ) ) )
                  = mono_2Ec_2Enum_2E0 ) )
            & ! [V7t: mono_2Etyop_2Enum_2Enum] :
                ( ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ ( V5J2 @ ( mono_2Ec_2Earithmetic_2E_2B @ V7t @ V0t0 ) ) )
                  & ( ( V5J2 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V7t @ V0t0 ) ) )
                    = mono_2Ec_2Enum_2E0 ) )
               => ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V7t @ V0t0 ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2ESBEFORE__INVARIANT,axiom,
    ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V2a @ V1b @ V0t0 )
    <=> ( ? [V3J1: mono_2Etyop_2Enum_2Enum > $o] :
            ( ( V3J1 @ V0t0 )
            & ! [V4t: mono_2Etyop_2Enum_2Enum] :
                ( ( ( V3J1 @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) )
                  & ( (~) @ ( V2a @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) ) )
               => ( V3J1 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V4t @ V0t0 ) ) ) )
            & ! [V5d: mono_2Etyop_2Enum_2Enum] :
                ( ( V3J1 @ ( mono_2Ec_2Earithmetic_2E_2B @ V5d @ V0t0 ) )
               => ( (~) @ ( V1b @ ( mono_2Ec_2Earithmetic_2E_2B @ V5d @ V0t0 ) ) ) ) )
        & ? [V6J2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
            ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ ( V6J2 @ V0t0 ) )
            & ! [V7t: mono_2Etyop_2Enum_2Enum] :
                ( ( mono_2Ec_2Eprim__rec_2E_3C @ ( V6J2 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V7t @ V0t0 ) ) ) @ ( V6J2 @ ( mono_2Ec_2Earithmetic_2E_2B @ V7t @ V0t0 ) ) )
                | ( ( V6J2 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V7t @ V0t0 ) ) )
                  = mono_2Ec_2Enum_2E0 ) )
            & ! [V8t: mono_2Etyop_2Enum_2Enum] :
                ( ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ ( V6J2 @ ( mono_2Ec_2Earithmetic_2E_2B @ V8t @ V0t0 ) ) )
                  & ( ( V6J2 @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2B @ V8t @ V0t0 ) ) )
                    = mono_2Ec_2Enum_2E0 ) )
               => ( V2a @ ( mono_2Ec_2Earithmetic_2E_2B @ V8t @ V0t0 ) ) ) ) ) ) ).

thf(thm_2ETemporal__Logic_2EALWAYS__IDEM,axiom,
    ! [V0a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V0a )
      = ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V0a ) ) ) ).

thf(thm_2ETemporal__Logic_2EEVENTUAL__IDEM,axiom,
    ! [V0a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V0a )
      = ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V0a ) ) ) ).

thf(thm_2ETemporal__Logic_2EWHEN__IDEM,axiom,
    ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ V0b )
      = ( mono_2Ec_2ETemporal__Logic_2EWHEN @ ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V1a @ V0b ) @ V0b ) ) ).

thf(thm_2ETemporal__Logic_2EUNTIL__IDEM,axiom,
    ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ V0b )
      = ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V1a @ V0b ) @ V0b ) ) ).

thf(thm_2ETemporal__Logic_2EBEFORE__IDEM,axiom,
    ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V0b )
      = ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V1a @ V0b ) @ V0b ) ) ).

thf(thm_2ETemporal__Logic_2ESWHEN__IDEM,axiom,
    ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ V0b )
      = ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V1a @ V0b ) @ V0b ) ) ).

thf(thm_2ETemporal__Logic_2ESUNTIL__IDEM,axiom,
    ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ V0b )
      = ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V1a @ V0b ) @ V0b ) ) ).

thf(thm_2ETemporal__Logic_2ESBEFORE__IDEM,axiom,
    ! [V0b: mono_2Etyop_2Enum_2Enum > $o,V1a: mono_2Etyop_2Enum_2Enum > $o] :
      ( ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ V0b )
      = ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V1a @ V0b ) @ V0b ) ) ).

thf(thm_2ETemporal__Logic_2ENOT__ALWAYS,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V2t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1a @ V2t )
        <=> ( (~) @ ( V1a @ V2t ) ) )
     => ! [V0t0: mono_2Etyop_2Enum_2Enum,V1a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ V1a @ V0t0 ) )
        <=> ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ ( F0 @ V1a ) @ V0t0 ) ) ) ).

thf(thm_2ETemporal__Logic_2ENOT__EVENTUAL,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V1a: mono_2Etyop_2Enum_2Enum > $o,V2t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V1a @ V2t )
        <=> ( (~) @ ( V1a @ V2t ) ) )
     => ! [V0t0: mono_2Etyop_2Enum_2Enum,V1a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EEVENTUAL @ V1a @ V0t0 ) )
        <=> ( mono_2Ec_2ETemporal__Logic_2EALWAYS @ ( F0 @ V1a ) @ V0t0 ) ) ) ).

thf(thm_2ETemporal__Logic_2ENOT__WHEN,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V2a @ V3t )
        <=> ( (~) @ ( V2a @ V3t ) ) )
     => ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EWHEN @ V2a @ V1b @ V0t0 ) )
        <=> ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ ( F0 @ V2a ) @ V1b @ V0t0 ) ) ) ).

thf(thm_2ETemporal__Logic_2ENOT__UNTIL,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V2a @ V3t )
        <=> ( (~) @ ( V2a @ V3t ) ) )
     => ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ V2a @ V1b @ V0t0 ) )
        <=> ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ ( F0 @ V2a ) @ V1b @ V0t0 ) ) ) ).

thf(thm_2ETemporal__Logic_2ENOT__BEFORE,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V2a @ V3t )
        <=> ( (~) @ ( V2a @ V3t ) ) )
     => ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ V2a @ V1b @ V0t0 ) )
        <=> ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ ( F0 @ V2a ) @ V1b @ V0t0 ) ) ) ).

thf(thm_2ETemporal__Logic_2ENOT__SWHEN,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V2a @ V3t )
        <=> ( (~) @ ( V2a @ V3t ) ) )
     => ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESWHEN @ V2a @ V1b @ V0t0 ) )
        <=> ( mono_2Ec_2ETemporal__Logic_2EWHEN @ ( F0 @ V2a ) @ V1b @ V0t0 ) ) ) ).

thf(thm_2ETemporal__Logic_2ENOT__SUNTIL,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V2a @ V3t )
        <=> ( (~) @ ( V2a @ V3t ) ) )
     => ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESUNTIL @ V2a @ V1b @ V0t0 ) )
        <=> ( mono_2Ec_2ETemporal__Logic_2EBEFORE @ ( F0 @ V2a ) @ V1b @ V0t0 ) ) ) ).

thf(thm_2ETemporal__Logic_2ENOT__SBEFORE,axiom,
    ! [F0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o] :
      ( ! [V2a: mono_2Etyop_2Enum_2Enum > $o,V3t: mono_2Etyop_2Enum_2Enum] :
          ( ( F0 @ V2a @ V3t )
        <=> ( (~) @ ( V2a @ V3t ) ) )
     => ! [V0t0: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum > $o,V2a: mono_2Etyop_2Enum_2Enum > $o] :
          ( ( (~) @ ( mono_2Ec_2ETemporal__Logic_2ESBEFORE @ V2a @ V1b @ V0t0 ) )
        <=> ( mono_2Ec_2ETemporal__Logic_2EUNTIL @ ( F0 @ V2a ) @ V1b @ V0t0 ) ) ) ).

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