ITP001 Axioms: ITP044^4.ax
%------------------------------------------------------------------------------
% File : ITP044^4 : TPTP v8.2.0. Bugfixed v7.5.0.
% Domain : Interactive Theorem Proving
% Axioms : HOL4 syntactic export, chainy mode
% Version : [BG+19] axioms.
% English :
% Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% Source : [BG+19]
% Names : 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 ) ) ) ).
%------------------------------------------------------------------------------