TSTP Solution File: SCT027-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT027-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 21:00:38 EDT 2022
% Result : Unsatisfiable 2.42s 2.78s
% Output : Refutation 2.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SCT027-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sat Jul 2 09:20:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.99/1.35 *** allocated 10000 integers for termspace/termends
% 0.99/1.35 *** allocated 10000 integers for clauses
% 0.99/1.35 *** allocated 10000 integers for justifications
% 0.99/1.35 *** allocated 15000 integers for termspace/termends
% 0.99/1.35 *** allocated 22500 integers for termspace/termends
% 0.99/1.35 Bliksem 1.12
% 0.99/1.35
% 0.99/1.35
% 0.99/1.35 Automatic Strategy Selection
% 0.99/1.35
% 0.99/1.35 Clauses:
% 0.99/1.35 [
% 0.99/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.99/1.35 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.99/1.35 Y, X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.99/1.35 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.99/1.35 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.99/1.35 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.99/1.35 T, X ), Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.99/1.35 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.99/1.35 Y, X ), Z, X ) ) ],
% 0.99/1.35 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 0.99/1.35 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.99/1.35 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.99/1.35 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.99/1.35 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.99/1.35 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.99/1.35 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.99/1.35 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.99/1.35 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.99/1.35 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.99/1.35 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.99/1.35 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.99/1.35 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.99/1.35 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.99/1.35 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.99/1.35 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.99/1.35 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.35 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.99/1.35 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.99/1.35 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.99/1.35 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.99/1.35 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.99/1.35 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.99/1.35 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.99/1.35 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.99/1.35 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.99/1.35 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.99/1.35 ],
% 0.99/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.99/1.35 ],
% 0.99/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.99/1.35 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.99/1.35 'c_lessequals'( Y, Z, X ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.99/1.35 'c_lessequals'( Z, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 0.99/1.35 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.99/1.35 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.99/1.35 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.99/1.35 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.35 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.99/1.35 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.99/1.35 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.99/1.35 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'(
% 0.99/1.35 T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 0.99/1.35 , Z, 'tc_fun'( T, X ) ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.35 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.99/1.35 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.99/1.35 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 0.99/1.35 , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.99/1.35 'tc_bool' ) ), X ) ],
% 0.99/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.99/1.35 X, 'tc_bool' ) ), Y ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.99/1.35 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), Y ) ) ) ],
% 0.99/1.35 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 0.99/1.35 ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 0.99/1.35 ), =( Y, W ) ],
% 0.99/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.99/1.35 [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.99/1.35 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.99/1.35 [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.99/1.35 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.99/1.35 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.99/1.35 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.99/1.35 [ 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, Y,
% 0.99/1.35 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.99/1.35 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), Y ),
% 0.99/1.35 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), X ),
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, Y,
% 0.99/1.35 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.99/1.35 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), T ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.99/1.35 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), Z ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.99/1.35 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.99/1.35 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.99/1.35 'tc_bool' ) ), X ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.99/1.35 [ =( 'c_Relation_OImage'( X,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.99/1.35 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), ~( 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), 'c_Relation_OImage'( 'c_Relation_Oconverse'(
% 0.99/1.35 X, Z, T ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( T, 'tc_bool' )
% 0.99/1.35 ), U ), T, Z ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y,
% 0.99/1.35 'tc_bool' ) ), 'c_Relation_OImage'( 'c_Relation_Oconverse'( Z, Y, T ),
% 0.99/1.35 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( T, 'tc_bool' ) ), U ), T
% 0.99/1.35 , Y ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_Relation_OImage'( Z, X, Y, T ), U, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.35 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.99/1.35 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.99/1.35 T, X ), Z, X ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.99/1.35 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.35 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.99/1.35 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.99/1.35 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.99/1.35 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.99/1.35 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.99/1.35 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.99/1.35 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.35 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.99/1.35 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.99/1.35 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Z, 'tc_fun'(
% 0.99/1.35 U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.99/1.35 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.99/1.35 , Y ) ],
% 0.99/1.35 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.99/1.35 , Y ) ],
% 0.99/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.99/1.35 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.99/1.35 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.99/1.35 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.99/1.35 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.99/1.35 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.99/1.35 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.99/1.35 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.99/1.35 'tc_bool' ) ) ],
% 0.99/1.35 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.99/1.35 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.35 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.35 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.99/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 0.99/1.35 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.35 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.35 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.99/1.35 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.35 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.35 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.99/1.35 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.99/1.35 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.99/1.35 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.99/1.35 'c_lessequals'( Z, Y, X ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z,
% 0.99/1.35 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ), X ), X, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 0.99/1.35 ) ) ), ~( 'c_Equiv__Relations_Oequiv'( T, Z, X ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.99/1.35 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), U ) ) ), ~(
% 0.99/1.35 'c_lessequals'( 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Z,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ),
% 0.99/1.35 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ),
% 0.99/1.35 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, X ) )
% 0.99/1.35 ],
% 0.99/1.35 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP(
% 0.99/1.35 hAPP( X, Z ), W ), U, V0 ), ~( 'c_Finite__Set_Ofold__graph'( X, Y, T, W,
% 0.99/1.35 U, V0 ) ), hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.99/1.35 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( Z ), T ), X ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.99/1.35 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( T ), Y ), X ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( Z ), T ), X ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.99/1.35 , 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.99/1.35 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( T ), Y ), X ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_Set_Oinsert'( Y, T, X ), Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.99/1.35 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.99/1.35 hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( U ), Z ), W ) ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( Y, W
% 0.99/1.35 , U, X ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 0.99/1.35 'c_Set_Oimage'( X, W, T, U ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), W )
% 0.99/1.35 ) ],
% 0.99/1.35 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.99/1.35 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.99/1.35 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 0.99/1.35 ) ), X ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.99/1.35 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.99/1.35 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.99/1.35 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 0.99/1.35 ) ), X ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.99/1.35 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.99/1.35 hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.99/1.35 , U, X ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( hAPP( X, Y ),
% 0.99/1.35 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.99/1.35 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( T ), Y ), Z ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 0.99/1.35 hAPP( hAPP( 'c_in'( U ), Y ), W ) ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( W, X, U, 'tc_fun'(
% 0.99/1.35 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( X, Y ),
% 0.99/1.35 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.99/1.35 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.99/1.35 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.99/1.35 U, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.99/1.35 hAPP( 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), X
% 0.99/1.35 ), hAPP( 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool'
% 0.99/1.35 ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ), 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'(
% 0.99/1.35 X, 'tc_bool' ), 'tc_bool' ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.99/1.35 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.99/1.35 Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.99/1.35 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.99/1.35 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.99/1.35 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.99/1.35 Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ],
% 0.99/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.99/1.35 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.99/1.35 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ) ],
% 0.99/1.35 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.99/1.35 'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ),
% 0.99/1.35 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, Z, 'tc_fun'(
% 0.99/1.35 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 0.99/1.35 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.99/1.35 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 0.99/1.35 Y, Z, T, 'tc_fun'( U, 'tc_bool' ), W ), W, 'tc_fun'( U, 'tc_bool' ) ),
% 0.99/1.35 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 'c_Set_Oimage'( Z
% 0.99/1.35 , X, W, T ), Y, T, 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.99/1.35 'c_Set_Oimage'( X, Y, Z, T ), U, T, 'tc_fun'( W, 'tc_bool' ) ),
% 0.99/1.35 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBB'( U, X
% 0.99/1.35 , T, 'tc_fun'( W, 'tc_bool' ), Z ), Z, 'tc_fun'( W, 'tc_bool' ) ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.99/1.35 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.99/1.35 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ],
% 0.99/1.35 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.99/1.35 ~( 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.99/1.35 U, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.99/1.35 [ 'c_lessequals'( X, 'c_Complete__Lattice_OSup__class_OSup'( Y, 'tc_fun'(
% 0.99/1.35 Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.99/1.35 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.99/1.35 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.99/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.99/1.35 T, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.99/1.35 T, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( X ), Z ), Y ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.99/1.35 ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 0.99/1.35 , 'tc_bool' ) ) ],
% 0.99/1.35 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.99/1.35 ~( 'c_lessequals'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y,
% 0.99/1.35 'tc_bool' ) ), X ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_Collect'( 'c_COMBB'( 'c_Not', X, 'tc_bool', 'tc_bool', Y ), Y )
% 0.99/1.35 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ),
% 0.99/1.35 'c_Collect'( X, Y ) ) ) ],
% 0.99/1.35 [ =( 'c_Set_Ovimage'( X, 'c_Collect'( Y, Z ), T, Z ), 'c_Collect'(
% 0.99/1.35 'c_COMBB'( Y, X, Z, 'tc_bool', T ), T ) ) ],
% 0.99/1.35 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.99/1.35 X, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.99/1.35 X, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 0.99/1.35 ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.99/1.35 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z,
% 0.99/1.35 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_fun'( Z, 'tc_bool' ) ), X ), 'c_Set_OPow'( Y, Z ) ) ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.99/1.35 'c_Set_OPow'( Z, X ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool'
% 0.99/1.35 ) ) ) ],
% 0.99/1.35 [ =( 'c_Complete__Lattice_OSup__class_OSup'(
% 0.99/1.35 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ), X
% 0.99/1.35 ), ~( 'c_Equiv__Relations_Oequiv'( X, Y, Z ) ) ],
% 0.99/1.35 [ 'c_lessequals'( 'c_Complete__Lattice_OInf__class_OInf'( X, 'tc_fun'( Y
% 0.99/1.35 , 'tc_bool' ) ), Z, 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), X ) ) ) ],
% 0.99/1.35 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.99/1.35 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.99/1.35 ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( Z ), Y ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ),
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z ) )
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.99/1.35 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.99/1.35 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 0.99/1.35 ) ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~( hBOOL(
% 0.99/1.35 hAPP( hAPP( 'c_in'( Z ), Y ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U
% 0.99/1.35 , X, Z ) ) ],
% 0.99/1.35 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.99/1.35 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.99/1.35 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z ) ), X ) ), ~( hBOOL(
% 0.99/1.35 hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 0.99/1.35 , Y ), U ) ) ) ],
% 0.99/1.35 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.99/1.35 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.99/1.35 ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 0.99/1.35 ) ), X ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~(
% 0.99/1.35 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.99/1.35 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.99/1.35 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.35 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.99/1.35 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.35 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.99/1.35 [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 0.99/1.35 ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.99/1.35 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.99/1.35 ],
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.99/1.35 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.99/1.35 'c_lessequals'( Y, Z, X ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.99/1.35 'c_lessequals'( Z, Y, X ) ) ],
% 0.99/1.35 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.99/1.35 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.99/1.35 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.99/1.35 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.99/1.35 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.99/1.35 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.99/1.35 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.99/1.35 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.99/1.35 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.99/1.35 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.99/1.35 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.99/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.99/1.35 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.99/1.35 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z
% 0.99/1.35 ) ), 'c_Pair'( Y, T, Z, Z ) ), X ) ) ), ~( 'c_Equiv__Relations_Oequiv'(
% 0.99/1.35 U, X, Z ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.99/1.35 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.99/1.35 [ 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.99/1.35 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U,
% 0.99/1.35 Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 0.99/1.35 , 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.99/1.35 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.99/1.35 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.99/1.35 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.99/1.35 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.99/1.35 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.99/1.35 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.99/1.35 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.99/1.35 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 Z, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.99/1.35 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 T, Z, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.99/1.35 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.99/1.35 'c_lessequals'( Z, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.99/1.35 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 Z, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.99/1.35 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 T, Z, X ), X ) ) ],
% 0.99/1.35 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.99/1.35 Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.99/1.35 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.99/1.35 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 0.99/1.35 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.35 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.99/1.35 Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.99/1.35 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 0.99/1.35 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), Z, T ) ) ],
% 0.99/1.35 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), Z, T ) ) ],
% 0.99/1.35 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.99/1.35 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.99/1.35 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 0.99/1.35 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 0.99/1.35 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 0.99/1.35 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 0.99/1.35 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 0.99/1.35 ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'( T, Z,
% 0.99/1.35 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T )
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.99/1.35 X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( T, Z, 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.99/1.35 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( X ), U ), Z ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.99/1.35 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( X ), U ), Y ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z, T, U, X )
% 0.99/1.35 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( W, Y,
% 0.99/1.35 U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z, T, U, X )
% 0.99/1.35 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( W, Y,
% 0.99/1.35 U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), U ) ) ), ~(
% 0.99/1.35 'c_Equiv__Relations_Oequiv'( Z, U, X ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ), U ) ) ), ~(
% 0.99/1.35 'c_Equiv__Relations_Oequiv'( Z, U, X ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.99/1.35 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_OImage'( T,
% 0.99/1.35 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ), X ), X, X ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Z,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ),
% 0.99/1.35 'tc_fun'( X, 'tc_bool' ) ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T, X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), hBOOL(
% 0.99/1.35 hAPP( hAPP( 'c_in'( U ), Z ), 'c_Set_Oimage'( X, W, T, U ) ) ), ~(
% 0.99/1.35 'c_Fun_Oinj__on'( X, W, T, U ) ) ],
% 0.99/1.35 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Collect'( hAPP(
% 0.99/1.35 'c_COMBC'( 'c_fequal'( Z ), Z, Z, 'tc_bool' ), X ), Z ), Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.99/1.35 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ), X ), X ), X ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.99/1.35 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.99/1.35 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.99/1.35 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.99/1.35 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.35 X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.99/1.35 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ), hBOOL( hAPP( hAPP( 'c_in'( T
% 0.99/1.35 ), Y ), Z ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( Z ), T ), X ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1'( X, Y, Z
% 0.99/1.35 ), X, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ) ) ), =(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 'c_Complete__Lattice_OSup__class_OSup'( Y, 'tc_fun'( Z, 'tc_bool' ) ), X
% 0.99/1.35 , 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.99/1.35 , 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.99/1.35 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X, Y, T, U
% 0.99/1.35 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.99/1.35 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.99/1.35 , W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.99/1.35 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.99/1.35 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.99/1.35 ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'(
% 0.99/1.35 Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ),
% 0.99/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 0.99/1.35 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 0.99/1.35 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.99/1.35 ), ~( 'c_lessequals'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 0.99/1.35 Z, 'tc_bool' ) ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.99/1.35 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.99/1.35 ) ) ), 'c_lessequals'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 0.99/1.35 Z, 'tc_bool' ) ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 0.99/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'tc_fun'(
% 0.99/1.35 Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.99/1.35 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.99/1.35 , T, X ) ) ), =( Z, T ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.99/1.35 , T, X ) ) ), =( Y, Z ) ],
% 0.99/1.35 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.99/1.35 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.99/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.99/1.35 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.99/1.35 U ) ) ],
% 0.99/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.99/1.35 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.99/1.35 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.99/1.35 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.99/1.35 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.99/1.35 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), =( Y, T ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.99/1.35 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), =( Y, T ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1'( Y, Z, X ) ) ),
% 0.99/1.35 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.99/1.35 'c_Complete__Lattice_OSup__class_OSup'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.99/1.35 ) ],
% 0.99/1.35 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( U ), hAPP( X, Y ) ), 'c_Set_Oimage'( X,
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.99/1.35 T, 'tc_bool' ) ), T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.99/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'c_Collect'( X, Z ),
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.99/1.35 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.99/1.35 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.99/1.35 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.99/1.35 , X ) ],
% 0.99/1.35 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), 'c_Set_Oinsert'( Y
% 0.99/1.35 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.99/1.35 'c_Complete__Lattice_OInf__class_OInf'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.99/1.35 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1'( Y, Z, X ) ) ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.99/1.35 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), T ) ) ) ],
% 0.99/1.35 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.99/1.35 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 0.99/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.99/1.35 Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.99/1.35 Z, Y ) ) ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.99/1.35 Y, X ) ) ) ) ],
% 0.99/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.99/1.35 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 0.99/1.35 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ), hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( Z ), Y ), T ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'(
% 0.99/1.35 Y, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.99/1.35 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.99/1.35 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.99/1.35 ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.99/1.35 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.99/1.35 ) ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y,
% 0.99/1.35 'tc_fun'( X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.99/1.35 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.35 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.99/1.35 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.99/1.35 'c_Complete__Lattice_OInf__class_OInf'( Z, X ), X ) ) ],
% 0.99/1.35 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.99/1.35 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.99/1.35 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.99/1.35 ],
% 0.99/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.99/1.35 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.99/1.35 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.99/1.35 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Typedef_Otype__definition'(
% 0.99/1.35 X, T, U, W, V0 ) ), =( Y, Z ) ],
% 0.99/1.35 [ =( 'c_Collect'( X, Y ), X ) ],
% 0.99/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.99/1.35 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.99/1.35 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.99/1.35 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.99/1.35 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z,
% 0.99/1.35 'c_Set_Oinsert'( hAPP( Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.99/1.35 T, 'tc_bool' ) ), T ), X, T ) ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.99/1.35 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.35 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.99/1.35 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.99/1.35 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.99/1.35 X, T ), Y ) ) ) ],
% 0.99/1.35 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.99/1.35 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X )
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.99/1.35 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.99/1.35 ) ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.99/1.35 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.99/1.35 ) ],
% 0.99/1.35 [ =( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'(
% 0.99/1.35 'c_List_Osko__Equiv__Relations__XquotientE__1__1'( Z, X, Y, T ),
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, T ) )
% 0.99/1.35 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( T, 'tc_bool' ) ), X ),
% 0.99/1.35 'c_Equiv__Relations_Oquotient'( Z, Y, T ) ) ) ) ],
% 0.99/1.35 [ ~( =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 0.99/1.35 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.99/1.35 ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( Y ), X ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, Z, Y ) ),
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, Y ) ), 'c_Pair'( X, T, Y, Y ) )
% 0.99/1.35 , Z ) ) ],
% 0.99/1.35 [ =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 0.99/1.35 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.99/1.35 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, Y ) ), 'c_Pair'( X, T, Y, Y
% 0.99/1.35 ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), U ) ) ), ~( hBOOL(
% 0.99/1.35 hAPP( hAPP( 'c_in'( Y ), X ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U
% 0.99/1.35 , Z, Y ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X,
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.99/1.35 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.99/1.35 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.99/1.35 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ],
% 0.99/1.35 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X
% 0.99/1.35 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T, U )
% 0.99/1.35 , 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ), ~(
% 0.99/1.35 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ),
% 0.99/1.35 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.99/1.35 'tc_fun'( T, 'tc_bool' ) ), T, U ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.35 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ) )
% 0.99/1.35 , 'c_Equiv__Relations_Oquotient'( T, Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( X ), Z ), T ) ) ) ],
% 0.99/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.99/1.35 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.99/1.35 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.99/1.35 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.99/1.35 ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ), Z ), 'c_Equiv__Relations_Oquotient'( U, W, X ) ) ) ), ~(
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Z ),
% 0.99/1.35 'c_Equiv__Relations_Oquotient'( U, W, X ) ) ) ), ~(
% 0.99/1.35 'c_Equiv__Relations_Oequiv'( U, W, X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.99/1.35 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), W ) ) ],
% 0.99/1.35 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 0.99/1.35 T, U, Z, Z ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), Y ) ) )
% 0.99/1.35 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_Equiv__Relations_Oquotient'(
% 0.99/1.35 V0, W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, 'tc_bool' )
% 0.99/1.35 ), X ), 'c_Equiv__Relations_Oquotient'( V0, W, Z ) ) ) ), ~(
% 0.99/1.35 'c_Equiv__Relations_Oequiv'( V0, W, Z ) ) ],
% 0.99/1.35 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 0.99/1.35 'c_Set_Oinsert'( Z, 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( W,
% 0.99/1.35 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ) ), ~( hBOOL(
% 0.99/1.35 hAPP( hAPP( 'c_in'( T ), Y ), W ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.99/1.35 ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), 'c_Relation_OImage'( U
% 0.99/1.35 , 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ), X ), X, Y ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z,
% 0.99/1.35 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.99/1.35 'tc_bool' ) ), U ), U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 U, X ) ), 'c_Pair'( T, Y, U, X ) ), Z ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, T ) ), X ),
% 0.99/1.35 'c_FuncSet_OPi'( Y, 'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ) )
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.99/1.35 , 'c_COMBK'( U, 'tc_fun'( Y, 'tc_bool' ), X ), X, Y ) ) ), hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( X ), 'c_FuncSet_Osko__FuncSet__XfuncsetI__1__1'( T, U, Z, X
% 0.99/1.35 , Y ) ), T ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.99/1.35 , 'c_COMBK'( U, 'tc_fun'( Y, 'tc_bool' ), X ), X, Y ) ) ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( Y ), hAPP( Z, 'c_FuncSet_Osko__FuncSet__XfuncsetI__1__1'( T
% 0.99/1.35 , U, Z, X, Y ) ) ), U ) ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.99/1.35 ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.35 Y ), 'c_Equiv__Relations_Oquotient'( T, U, Z ) ) ) ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( 'tc_fun'( Z, 'tc_bool' ) ), X ),
% 0.99/1.35 'c_Equiv__Relations_Oquotient'( T, U, Z ) ) ) ), ~(
% 0.99/1.35 'c_Equiv__Relations_Oequiv'( T, U, Z ) ) ],
% 0.99/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.99/1.35 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.99/1.35 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.99/1.35 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.99/1.35 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.99/1.35 ],
% 0.99/1.35 [ =( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Collect'( hAPP( 'c_COMBC'(
% 0.99/1.35 'c_COMBB'( 'c_in'( T ), X, T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ),
% 0.99/1.35 'tc_bool' ), Z ), Z, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), Y ), Z ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.99/1.35 ), 'c_Collect'( 'c_COMBB'( 'c_Not', hAPP( 'c_COMBC'( 'c_in'( X ), X,
% 0.99/1.35 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Y ), 'tc_bool', 'tc_bool', X ), X
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 'c_Complete__Lattice_OSup__class_OSup'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z
% 0.99/1.35 , 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.99/1.35 , 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.99/1.35 , 'c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1'( Z, X,
% 0.99/1.35 Y ) ), X ) ) ],
% 0.99/1.35 [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0 )
% 0.99/1.35 , ~( 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.99/1.35 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 0.99/1.35 'tc_bool' ) ), W ), 'tc_fun'( W, 'tc_bool' ) ), U, W, V0 ) ), ~( hBOOL(
% 0.99/1.35 hAPP( hAPP( 'c_in'( W ), T ), Z ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.99/1.35 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( Z ), Y ), X ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z
% 0.99/1.35 ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.99/1.35 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.99/1.35 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.99/1.35 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~( 'c_lessequals'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.99/1.35 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_Finite__Set_Osetsum'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.99/1.35 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, 'tc_nat' ),
% 0.99/1.35 'c_Finite__Set_Osetsum'( X, Y, T, 'tc_nat' ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.99/1.35 T ), Z ), Y ) ) ],
% 0.99/1.35 [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 0.99/1.35 ), ~( hBOOL( hAPP( hAPP( 'c_in'( W ), T ), Z ) ) ), ~(
% 0.99/1.35 'c_Finite__Set_Ofold__graph'( X, Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.99/1.35 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 0.99/1.35 'tc_bool' ) ), W ), 'tc_fun'( W, 'tc_bool' ) ), U, W, V0 ) ) ],
% 0.99/1.35 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.99/1.35 'tc_bool' ) ), Y, Z ) ],
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.99/1.35 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T,
% 0.99/1.35 'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~(
% 0.99/1.35 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 0.99/1.35 ) ],
% 0.99/1.35 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.99/1.35 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.99/1.35 Y, Z ) ) ],
% 0.99/1.35 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.99/1.35 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.99/1.35 [ =( X, Y ), =( X, Y ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.99/1.35 Z, Y ) ) ) ],
% 0.99/1.35 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), Y )
% 0.99/1.35 ) ],
% 0.99/1.35 [ =( 'c_Set_Ovimage'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 0.99/1.35 Y, 'tc_bool' ) ), Z ), T, Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.35 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Ovimage'( X, Z, T, Y ) ) ) ],
% 0.99/1.35 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 0.99/1.35 Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =(
% 0.99/1.35 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.99/1.35 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.99/1.35 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.99/1.35 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z
% 0.99/1.35 ) ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.99/1.35 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.99/1.35 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ],
% 0.99/1.35 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 0.99/1.35 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( X, T ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Arrow__Order__Mirabelle_Omkbot'( Z, T ) ) ) ) ],
% 0.99/1.35 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.35 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.99/1.35 ) ), Z, X ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.99/1.35 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.99/1.35 ) ) ) ],
% 0.99/1.35 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.99/1.35 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.99/1.35 ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.99/1.35 'c_Collect'( T, X ), 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y,
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Z,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 0.99/1.35 U, 'tc_bool' ) ), U, X ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, 'c_Set_Oinsert'(
% 0.99/1.35 Z, T, U ), U, X ) ) ],
% 0.99/1.35 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 'c_Complete__Lattice_OSup__class_OSup'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z
% 0.99/1.35 , 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.99/1.35 , 'tc_bool' ) ) ) ), =( 'c_Lattices_Olower__semilattice__class_Oinf'( T,
% 0.99/1.35 Z, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.99/1.35 Y, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Y, 'tc_bool'
% 0.99/1.35 ) ), T ), X ) ) ) ],
% 0.99/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.99/1.35 Y, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.99/1.35 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), Y ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), Y ) ) ) ],
% 0.99/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.99/1.35 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( Z ), X ), Y ) ) ],
% 0.99/1.35 [ =( 'c_Fun_Ooverride__on'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), X ) ],
% 0.99/1.35 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.35 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) ),
% 0.99/1.35 Y ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.35 X ), Y ) ), Y ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.35 X ), Y ) ), Y ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.35 X ), Y ) ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.35 X ), Y ) ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.35 X ), Y ) ), Y ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.99/1.35 X ) ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.99/1.35 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.99/1.35 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Ovimage'( X, Y, U, T
% 0.99/1.35 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.99/1.35 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ), X ), X ), X ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.99/1.35 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.99/1.35 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 0.99/1.35 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 0.99/1.35 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.99/1.35 Y, Z, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.35 'tc_bool' ) ), Y ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Z, T ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), =( X, T ), ~(
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.35 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, T ),
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, Y, T ) ) ) ],
% 0.99/1.35 [ =( X, Y ), =( X, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 0.99/1.35 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), T ),
% 0.99/1.35 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, Y ), hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Z,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Arrow__Order__Mirabelle_Oabove'( T, X, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Z,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , T ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( Y, T ), =( X, T ), ~(
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, U, T ) ) ) ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.99/1.35 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( U, T ) ],
% 0.99/1.35 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.99/1.35 Z, T, Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.35 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, Y ),
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , Z ) ), =( X, T ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.99/1.35 Z, T, X ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.35 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, X ),
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , Z ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, X,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , Z ) ) ), =( T, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.35 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, X ),
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, X ) ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.99/1.35 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, Y ), hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , Z ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 0.99/1.35 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, U,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , Z ) ) ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.35 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 0.99/1.35 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( U, Y,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , Z ) ) ), =( Y, T ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 0.99/1.35 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.99/1.35 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 0.99/1.35 [ =( X, Y ), =( Y, X ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 0.99/1.35 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.99/1.35 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, X ), hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, Y, X ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.99/1.35 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( T, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.99/1.35 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.99/1.35 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, Y ), hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, Y ) ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( T, Y ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.99/1.35 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, T ), hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, T ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.99/1.35 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, U ), =( X, U ), =(
% 0.99/1.35 X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.35 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 0.99/1.35 Y, Z, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.35 'tc_bool' ) ), Y ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Z, T ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, T ), =( T, Y ), ~(
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.35 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, X ),
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, X ) ) ) ],
% 0.99/1.35 [ =( X, Y ), =( Z, X ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 0.99/1.35 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), T ),
% 0.99/1.35 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, X ), hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Z, X,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Arrow__Order__Mirabelle_Obelow'( T, Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Z, X,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , T ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( X, T ), =( Y, T ), ~(
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, U ) ) ) ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.99/1.35 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 0.99/1.35 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 0.99/1.35 Z, Y, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.35 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, T ),
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, X,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , Z ) ), =( X, T ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 0.99/1.35 Z, Y, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.35 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, T ),
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , Z ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, T,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , Z ) ) ), =( X, T ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.35 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, T ),
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, Y, T ) ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.99/1.35 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, T ), hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , Z ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.99/1.35 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, U ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , Z ) ) ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.35 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.99/1.35 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , Z ) ) ), =( X, U ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 0.99/1.35 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.99/1.35 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 0.99/1.35 [ =( X, Y ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 0.99/1.35 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.99/1.35 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, Y ), hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, Y ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 0.99/1.35 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( U, Y,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.99/1.35 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.99/1.35 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, Y ), hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, X, Y ) ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.99/1.35 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, Y ), hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, Y ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 0.99/1.35 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), =( Y, T ), =(
% 0.99/1.35 X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.35 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, X, Z ) ) )
% 0.99/1.35 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, U )
% 0.99/1.35 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), Y ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.99/1.35 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.99/1.35 , Z ) ), T ) ), ~( hBOOL( hAPP( U,
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.99/1.35 , Z ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.99/1.35 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.99/1.35 , Z ) ), T ) ), ~( hBOOL( hAPP( X,
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.99/1.35 , Z ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.99/1.35 , ~( hBOOL( hAPP( X,
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.99/1.35 , Z ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.99/1.35 , Z ) ), T ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.99/1.35 , ~( hBOOL( hAPP( U,
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.99/1.35 , Z ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.99/1.35 , Z ) ), T ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.99/1.35 'c_SetInterval_Oord_OatLeastLessThan'( Z, T, U, W, X ) ) ), ~( hBOOL(
% 0.99/1.35 hAPP( hAPP( T, Y ), W ) ) ), ~( hBOOL( hAPP( hAPP( Z, U ), Y ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 0.99/1.35 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 0.99/1.35 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.99/1.35 'c_SetInterval_Oord_OatLeastAtMost'( Z, T, U, X ) ) ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( Z, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.99/1.35 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 0.99/1.35 hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( Z, T ) ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~(
% 0.99/1.35 'c_Typedef_Otype__definition'( Y, U, T, W, X ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.99/1.35 'c_SetInterval_Oord_OgreaterThanLessThan'( Z, T, U, X ) ) ), ~( hBOOL(
% 0.99/1.35 hAPP( hAPP( Z, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.99/1.35 'c_SetInterval_Oord_OgreaterThanAtMost'( Z, T, U, W, X ) ) ), ~( hBOOL(
% 0.99/1.35 hAPP( hAPP( Z, Y ), W ) ) ), ~( hBOOL( hAPP( hAPP( T, U ), Y ) ) ) ],
% 0.99/1.35 [ =( hAPP( 'c_Fun_Ooverride__on'( X, Y, Z, T, U ), W ), hAPP( Y, W ) ),
% 0.99/1.35 ~( hBOOL( hAPP( hAPP( 'c_in'( T ), W ), Z ) ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.99/1.35 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 0.99/1.35 hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( Z, U ) ) ), ~(
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( X ), U ), Y ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexI__1__1'( Y, X, Z ) ) )
% 0.99/1.35 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, T )
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ =( hAPP( X, hAPP( Y, Z ) ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.99/1.35 ), U ) ) ), ~( 'c_Typedef_Otype__definition'( X, Y, U, W, T ) ) ],
% 0.99/1.35 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.99/1.35 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.99/1.35 , X, V0, V1, V2, U, V3, V4, T ) ) ],
% 0.99/1.35 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.99/1.35 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.99/1.35 , W, V0, V1, U, V2, V3, V4, T ) ) ],
% 0.99/1.35 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.99/1.35 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.99/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( X, Y ), =( Y, X ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.99/1.35 Z, X ) ) ) ],
% 0.99/1.35 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.99/1.35 X ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.35 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.99/1.35 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y )
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 0.99/1.35 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.99/1.35 ) ), Y ) ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.99/1.35 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.99/1.35 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.99/1.35 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.99/1.35 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL(
% 0.99/1.35 hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.99/1.35 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.99/1.35 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( X ), Y ), T ) ) ), ~( =(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.99/1.35 'c_Set_OPow'( Y, X ) ) ) ],
% 0.99/1.35 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.99/1.35 , X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.35 , Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.35 , Y, X ) ) ],
% 0.99/1.35 [ ~( =( hAPP( X, 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'( Y, X
% 0.99/1.35 , Z, T, U ) ), hAPP( Z, 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'(
% 0.99/1.35 Y, X, Z, T, U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( T, U ) ),
% 0.99/1.35 Z ), 'c_FuncSet_Oextensional'( Y, T, U ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_fun'( T, U ) ), X ), 'c_FuncSet_Oextensional'( Y, T, U ) ) )
% 0.99/1.35 ), =( X, Z ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 0.99/1.35 [ ~( =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.35 , Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.35 Z ) ) ), =( Y, Z ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Arrow__Order__Mirabelle_Omktop'( Z, T ) ) ) ) ],
% 0.99/1.35 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.99/1.35 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.99/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.99/1.35 ), =( Z, Y ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.35 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.35 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.99/1.35 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.35 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.35 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.99/1.35 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.99/1.35 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.99/1.35 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.99/1.35 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.99/1.35 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.99/1.35 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.99/1.35 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.99/1.35 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( Y ), X ), T ) ) ],
% 0.99/1.35 [ =( hAPP( X, hAPP( Y, Z ) ), Z ), ~( 'c_Typedef_Otype__definition'( Y,
% 0.99/1.35 X, T, U, W ) ) ],
% 0.99/1.35 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.99/1.35 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2
% 0.99/1.35 , U, V3, V4, T ) ) ],
% 0.99/1.35 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.99/1.35 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U,
% 0.99/1.35 V2, V3, V4, T ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'( Y, Z, T, U, X )
% 0.99/1.35 ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, U,
% 0.99/1.35 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, W ) ) ), ~( hBOOL(
% 0.99/1.35 hAPP( hAPP( 'c_in'( X ), W ), hAPP( Z, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( U ), V0 ), Y ) ) ) ],
% 0.99/1.35 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.35 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.99/1.35 Z, X ) ) ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.99/1.35 Y, X ) ) ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.99/1.35 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.99/1.35 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.99/1.35 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.99/1.35 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.99/1.35 [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ),
% 0.99/1.35 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( U, 'tc_bool' ) ), U ), T, U ) ) ) ) ],
% 0.99/1.35 [ =( 'c_Set_Oinsert'( X,
% 0.99/1.35 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.99/1.35 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ],
% 0.99/1.35 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.35 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.99/1.35 ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, X ) ), 'c_Pair'( T
% 0.99/1.35 , Z, Y, X ) ), 'c_Relation_Oconverse'( U, X, Y ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.99/1.35 ), 'c_Relation_Oconverse'( U, Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.99/1.35 'tc_prod'( Y, X ) ), 'c_Pair'( T, Z, Y, X ) ), U ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.99/1.35 ), 'c_Relation_Oconverse'( U, Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.99/1.35 'tc_prod'( Y, X ) ), 'c_Pair'( T, Z, Y, X ) ), U ) ) ) ],
% 0.99/1.35 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.99/1.35 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.99/1.35 , Z, V2, Y ) ) ],
% 0.99/1.35 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.99/1.35 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.99/1.35 , V2, Z, Y ) ) ],
% 0.99/1.35 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.99/1.35 'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.99/1.35 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( Z ), X ), Y ) ) ) ],
% 0.99/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.99/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.99/1.35 'tc_bool' ) ), X ) ],
% 0.99/1.35 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.99/1.35 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.99/1.35 ],
% 0.99/1.35 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y
% 0.99/1.35 ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.99/1.35 , 'tc_bool' ) ), X ) ) ],
% 0.99/1.35 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.99/1.35 Z, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.99/1.35 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Z )
% 0.99/1.35 ) ],
% 0.99/1.35 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.99/1.35 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Z )
% 0.99/1.35 ) ],
% 0.99/1.35 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.99/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'c_Collect'( T, X ),
% 0.99/1.35 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, Y ) ) ), ~( hBOOL(
% 0.99/1.35 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.99/1.35 [ =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_OPow'( X, Y ),
% 0.99/1.35 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 0.99/1.35 X, T, U ), Z ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 0.99/1.35 hAPP( X, U ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.99/1.35 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.99/1.35 hAPP( X, T ) ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.99/1.35 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.99/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.99/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.99/1.35 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.99/1.35 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.99/1.35 [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ), 'c_Set_Oinsert'( Y,
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.99/1.35 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.99/1.35 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.99/1.35 'tc_bool' ) ) ) ],
% 0.99/1.35 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ), 'tc_bool' ), Y ), X ), Y ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.99/1.35 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, T ), =( X, T ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.99/1.35 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), =( X, T ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.35 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.35 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.35 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.35 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.35 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.99/1.35 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 0.99/1.35 'c_Typedef_Otype__definition'( W, X, U, V0, T ) ), =( Y, Z ) ],
% 0.99/1.35 [ =( hAPP( 'c_Fun_Ooverride__on'( X, Y, Z, T, U ), W ), hAPP( X, W ) ),
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( T ), W ), Z ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 0.99/1.35 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ),
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 0.99/1.35 'tc_bool' ) ), Z ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexE__1__1'( Y, X, Z ) ) )
% 0.99/1.35 , ~( hBOOL( hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y )
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.99/1.35 ), 'c_SetInterval_Oord_OgreaterThanAtMost'( U, X, Y, W, T ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.99/1.35 ), 'c_SetInterval_Oord_OgreaterThanAtMost'( X, U, W, Z, T ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( X ), Y ), T ) ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_fun'(
% 0.99/1.35 X, 'tc_bool' ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.99/1.35 , ~( hBOOL( hAPP( X,
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.99/1.35 , Z ) ) ) ), ~( hBOOL( hAPP( U,
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.99/1.35 , Z ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.99/1.35 , ~( hBOOL( hAPP( U,
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.99/1.35 , Z ) ) ) ), ~( hBOOL( hAPP( X,
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.99/1.35 , Z ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.99/1.35 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.99/1.35 , Z ) ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.99/1.35 , Z ) ), T ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.99/1.35 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.99/1.35 , Z ) ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.99/1.35 , Z ) ), T ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.99/1.35 , ~( hBOOL( hAPP( X,
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.99/1.35 , X, Z ) ) ) ), ~( hBOOL( hAPP( U,
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.99/1.35 , X, Z ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.99/1.35 , ~( hBOOL( hAPP( U,
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.99/1.35 , U, Z ) ) ) ), ~( hBOOL( hAPP( X,
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.99/1.35 , U, Z ) ) ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( T, Y ) )
% 0.99/1.35 , hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XballE__1__1'(
% 0.99/1.35 Z, T, X ) ), Z ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, X, Z ) ) )
% 0.99/1.35 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, T )
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.99/1.35 ), 'c_SetInterval_Oord_OgreaterThanLessThan'( X, Y, U, T ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.99/1.35 ), 'c_SetInterval_Oord_OgreaterThanLessThan'( X, U, Z, T ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z,
% 0.99/1.35 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T,
% 0.99/1.35 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.99/1.35 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.99/1.35 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y,
% 0.99/1.35 Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 0.99/1.35 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.99/1.35 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 0.99/1.35 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.99/1.35 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.99/1.35 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 0.99/1.35 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.99/1.35 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.99/1.35 ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~(
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.99/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.99/1.35 [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ),
% 0.99/1.35 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool'
% 0.99/1.35 ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Collect'( Z, X ) ) ), ~( hBOOL(
% 0.99/1.35 hAPP( Z, Y ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.99/1.35 'c_Collect'( X, Z ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OatMost'( Z,
% 0.99/1.35 T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), T ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.99/1.35 ), 'c_SetInterval_Oord_OatMost'( X, Z, T ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.99/1.35 T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 0.99/1.35 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.99/1.35 T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 0.99/1.35 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.99/1.35 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.99/1.35 , X, Z ) ), T ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.99/1.35 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.99/1.35 , U, Z ) ), T ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( T, Y ) )
% 0.99/1.35 , ~( hBOOL( hAPP( T, 'c_ATP__Linkup_Osko__Set__XballE__1__1'( Z, T, X ) )
% 0.99/1.35 ) ) ],
% 0.99/1.35 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z
% 0.99/1.35 ), X ), Y ) ), =( Y, T ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XbexI__1__1'(
% 0.99/1.35 Y, Z, X ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~(
% 0.99/1.35 hBOOL( hAPP( Z, T ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.99/1.35 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.99/1.35 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.99/1.35 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.99/1.35 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.99/1.35 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.99/1.35 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OgreaterThan'(
% 0.99/1.35 Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.99/1.35 ), 'c_SetInterval_Oord_OgreaterThan'( X, Y, T ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X,
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'( Y, Z, X, T, U )
% 0.99/1.35 ) ), ~( hBOOL( hAPP( X, W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W )
% 0.99/1.35 , hAPP( Z, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), V0 ), Y ) ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.99/1.35 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.99/1.35 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.99/1.35 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( U ), T ), Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y
% 0.99/1.35 , W, X, V0, V1, V2, V3, V4, U ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( U ), Y ), T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.99/1.35 , Z, X, V0, V1, V2, V3, V4, U ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.99/1.35 ), 'c_SetInterval_Oord_OatLeastAtMost'( X, U, Z, T ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.99/1.35 ), 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, U, T ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T
% 0.99/1.35 ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 0.99/1.35 ), Z ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T
% 0.99/1.35 ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 0.99/1.35 ), Y ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XbexE__1__1'(
% 0.99/1.35 Y, Z, X ) ), Y ) ), ~( hBOOL( hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( X ), T ), Y ) ) ) ],
% 0.99/1.35 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 0.99/1.35 , X ), Y ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OlessThan'( Z
% 0.99/1.35 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), T ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.99/1.35 ), 'c_SetInterval_Oord_OlessThan'( X, Z, T ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 0.99/1.35 T, 'tc_fun'( U, 'tc_bool' ) ) ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.99/1.35 Y, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), V1 ), X ) ) )
% 0.99/1.35 ],
% 0.99/1.35 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.99/1.35 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.99/1.35 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 0.99/1.35 T, 'tc_fun'( U, 'tc_bool' ) ) ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.99/1.35 Y, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), V1 ), X ) ) )
% 0.99/1.35 ],
% 0.99/1.35 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.99/1.35 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.99/1.35 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.99/1.35 ), 'c_SetInterval_Oord_OatLeastLessThan'( U, X, W, Z, T ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.99/1.35 ), 'c_SetInterval_Oord_OatLeastLessThan'( X, U, Y, W, T ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.99/1.35 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 0.99/1.35 hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'( Y, X, Z )
% 0.99/1.35 ) ), ~( hBOOL( hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T )
% 0.99/1.35 , Y ) ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 0.99/1.35 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 0.99/1.35 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.99/1.35 , U, X, Y ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.99/1.35 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( T, U, Z, X, Y ) ), T ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.99/1.35 , U, X, Y ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.99/1.35 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( T, U, Z, X, Y ) ), T ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ =( hAPP( X, Y ), 'c_HOL_Oundefined'( Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.99/1.35 T ), Y ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( T, Z ) ), X ),
% 0.99/1.35 'c_FuncSet_Oextensional'( U, T, Z ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.99/1.35 , U, X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), hAPP( Z,
% 0.99/1.35 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( T, U, Z, X, Y ) ) ), hAPP( U,
% 0.99/1.35 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( T, U, Z, X, Y ) ) ) ) ) ],
% 0.99/1.35 [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.99/1.35 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'( T, X, Y, Z, U ) ), T )
% 0.99/1.35 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, U ) ), Y ),
% 0.99/1.35 'c_FuncSet_Oextensional'( T, Z, U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.99/1.35 'tc_fun'( Z, U ) ), X ), 'c_FuncSet_Oextensional'( T, Z, U ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.99/1.35 hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 0.99/1.35 U, X ) ), Y ), 'c_FuncSet_OPi'( W, 'c_COMBK'( T, 'tc_fun'( X, 'tc_bool' )
% 0.99/1.35 , U ), U, X ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.99/1.35 , U, X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), hAPP( Z,
% 0.99/1.35 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( T, U, Z, X, Y ) ) ), hAPP( U,
% 0.99/1.35 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( T, U, Z, X, Y ) ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.99/1.35 'c_Complete__Lattice_OInf__class_OInf'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.99/1.35 , hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1'( Y, Z, X ) ), Z )
% 0.99/1.35 ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1'( Y, Z, X ) ), Z )
% 0.99/1.35 ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.99/1.35 'c_Complete__Lattice_OSup__class_OSup'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.99/1.35 ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.99/1.35 'c_List_Osko__Equiv__Relations__XquotientE__1__1'( Y, Z, T, X ) ), Y ) )
% 0.99/1.35 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Z ),
% 0.99/1.35 'c_Equiv__Relations_Oquotient'( Y, T, X ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.99/1.35 'c_Set_OPow'( Y, X ) ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , Z ) ) ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.35 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.99/1.35 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , Z ) ), =( Y, X ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.35 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.35 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.35 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~(
% 0.99/1.35 hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_fun'( U, X ) ), Y ), 'c_FuncSet_OPi'( W, T, U, X ) ) ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( T ), hAPP( U, Y ) ), hAPP( W, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_fun'( X, T ) ), U ), 'c_FuncSet_OPi'( Z, W, X, T ) ) ) ) ]
% 0.99/1.35 ,
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.35 'c_in'( X ), Y ), 'c_Complete__Lattice_OInf__class_OInf'( T, 'tc_fun'( X
% 0.99/1.35 , 'tc_bool' ) ) ) ) ) ],
% 0.99/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.99/1.35 'c_Complete__Lattice_OSup__class_OSup'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.99/1.35 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.36 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), T ), Z ) ) ) ],
% 0.99/1.36 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.36 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.36 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Omktop'( X, Y ) ),
% 0.99/1.36 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.99/1.36 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.36 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 0.99/1.36 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.99/1.36 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.36 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.36 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'( X, Y ) ),
% 0.99/1.36 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.99/1.36 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.36 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 0.99/1.36 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.99/1.36 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.36 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.36 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Obelow'( X, Y, Z ) ),
% 0.99/1.36 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.99/1.36 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.36 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 0.99/1.36 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, Z ) ],
% 0.99/1.36 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.36 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.36 'tc_bool' ) ), 'v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1' ),
% 0.99/1.36 'c_Arrow__Order__Mirabelle_OLin' ) ) ],
% 0.99/1.36 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.36 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.36 'tc_bool' ) ), X ), 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP(
% 0.99/1.36 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.36 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 0.99/1.36 'c_Relation_Oconverse'( X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.36 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_OLin' )
% 0.99/1.36 ) ) ],
% 0.99/1.36 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.36 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.36 'tc_bool' ) ), 'c_Relation_Oconverse'( X,
% 0.99/1.36 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.99/1.36 , 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.99/1.36 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.36 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 0.99/1.36 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.99/1.36 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.36 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.36 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Oabove'( X, Y, Z ) ),
% 0.99/1.36 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.99/1.36 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.99/1.36 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 0.99/1.36 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, Z ) ],
% 0.99/1.36 [ 'v_thesis____', ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.36 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.36 'tc_bool' ) ), X ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.99/1.36 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 0.99/1.36 ],
% 0.99/1.36 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 0.99/1.36 ],
% 0.99/1.36 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.36 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.36 'tc_bool' ) ), 'v_sko__CHAINED__1' ), 'c_Arrow__Order__Mirabelle_OLin' )
% 0.99/1.36 ) ],
% 0.99/1.36 [ ~( 'v_thesis____' ) ],
% 0.99/1.36 [ 'v_thesis____', ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.99/1.36 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.99/1.36 'tc_bool' ) ), X ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.99/1.36 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.99/1.36 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.99/1.36 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.99/1.36 'class_Lattices_Olattice'( Y ) ) ],
% 0.99/1.36 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.99/1.36 'class_Lattices_Olattice'( Y ) ) ],
% 0.99/1.36 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.99/1.36 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.99/1.36 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.99/1.36 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.99/1.36 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 0.99/1.36 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.99/1.36 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.99/1.36 'class_Orderings_Opreorder'( Y ) ) ],
% 0.99/1.36 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.99/1.36 'class_Lattices_Olattice'( Y ) ) ],
% 0.99/1.36 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.99/1.36 'class_Orderings_Oorder'( Y ) ) ],
% 0.99/1.36 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.99/1.36 Y ) ) ],
% 0.99/1.36 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.99/1.36 ,
% 0.99/1.36 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.99/1.36 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.99/1.36 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.99/1.36 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.99/1.36 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.99/1.36 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.99/1.36 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.99/1.36 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.99/1.36 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.99/1.36 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.99/1.36 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.99/1.36 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.99/1.36 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.99/1.36 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.99/1.36 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.99/1.36 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.99/1.36 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.99/1.36 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.99/1.36 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.99/1.36 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.99/1.36 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.99/1.36 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.99/1.36 ] .
% 0.99/1.36
% 0.99/1.36
% 0.99/1.36 percentage equality = 0.271664, percentage horn = 0.842881
% 0.99/1.36 This is a problem with some equality
% 0.99/1.36
% 0.99/1.36
% 0.99/1.36
% 0.99/1.36 Options Used:
% 0.99/1.36
% 0.99/1.36 useres = 1
% 0.99/1.36 useparamod = 1
% 0.99/1.36 useeqrefl = 1
% 0.99/1.36 useeqfact = 1
% 0.99/1.36 usefactor = 1
% 0.99/1.36 usesimpsplitting = 0
% 0.99/1.36 usesimpdemod = 5
% 0.99/1.36 usesimpres = 3
% 0.99/1.36
% 0.99/1.36 resimpinuse = 1000
% 0.99/1.36 resimpclauses = 20000
% 0.99/1.36 substype = eqrewr
% 0.99/1.36 backwardsubs = 1
% 0.99/1.36 selectoldest = 5
% 0.99/1.36
% 0.99/1.36 litorderings [0] = split
% 0.99/1.36 litorderings [1] = extend the termordering, first sorting on arguments
% 0.99/1.36
% 0.99/1.36 termordering = kbo
% 0.99/1.36
% 0.99/1.36 litapriori = 0
% 0.99/1.36 termapriori = 1
% 0.99/1.36 litaposteriori = 0
% 0.99/1.36 termaposteriori = 0
% 0.99/1.36 demodaposteriori = 0
% 0.99/1.36 ordereqreflfact = 0
% 0.99/1.36
% 0.99/1.36 litselect = negord
% 0.99/1.36
% 0.99/1.36 maxweight = 15
% 0.99/1.36 maxdepth = 30000
% 0.99/1.36 maxlength = 115
% 0.99/1.36 maxnrvars = 195
% 0.99/1.36 excuselevel = 1
% 0.99/1.36 increasemaxweight = 1
% 0.99/1.36
% 0.99/1.36 maxselected = 10000000
% 0.99/1.36 maxnrclauses = 10000000
% 0.99/1.36
% 0.99/1.36 showgenerated = 0
% 0.99/1.36 showkept = 0
% 0.99/1.36 showselected = 0
% 0.99/1.36 showdeleted = 0
% 0.99/1.36 showresimp = 1
% 0.99/1.36 showstatus = 2000
% 0.99/1.36
% 0.99/1.36 prologoutput = 1
% 0.99/1.36 nrgoals = 5000000
% 0.99/1.36 totalproof = 1
% 0.99/1.36
% 0.99/1.36 Symbols occurring in the translation:
% 0.99/1.36
% 0.99/1.36 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.99/1.36 . [1, 2] (w:1, o:101, a:1, s:1, b:0),
% 0.99/1.36 ! [4, 1] (w:0, o:73, a:1, s:1, b:0),
% 0.99/1.36 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.99/1.36 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.99/1.36 'class_Lattices_Oupper__semilattice' [40, 1] (w:1, o:78, a:1, s:1, b:
% 0.99/1.36 0),
% 0.99/1.36 'c_lessequals' [43, 3] (w:1, o:135, a:1, s:1, b:0),
% 0.99/1.36 'c_Lattices_Oupper__semilattice__class_Osup' [45, 3] (w:1, o:136, a:1
% 0.99/1.36 , s:1, b:0),
% 0.99/1.36 'c_Set_Oimage' [53, 4] (w:1, o:161, a:1, s:1, b:0),
% 0.99/1.36 'c_COMBB' [54, 5] (w:1, o:174, a:1, s:1, b:0),
% 0.99/1.36 'tc_bool' [57, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.99/1.36 'tc_fun' [58, 2] (w:1, o:126, a:1, s:1, b:0),
% 0.99/1.36 'c_Lattices_Olower__semilattice__class_Oinf' [59, 3] (w:1, o:137, a:1
% 0.99/1.36 , s:1, b:0),
% 0.99/1.36 'class_Lattices_Odistrib__lattice' [60, 1] (w:1, o:79, a:1, s:1, b:0)
% 0.99/1.36 ,
% 0.99/1.36 'class_Lattices_Olower__semilattice' [61, 1] (w:1, o:80, a:1, s:1, b:
% 0.99/1.36 0),
% 0.99/1.36 'class_Lattices_Olattice' [62, 1] (w:1, o:81, a:1, s:1, b:0),
% 2.42/2.78 'c_Orderings_Obot__class_Obot' [64, 1] (w:1, o:82, a:1, s:1, b:0),
% 2.42/2.78 hAPP [65, 2] (w:1, o:127, a:1, s:1, b:0),
% 2.42/2.78 'c_Fun_Ofun__upd' [67, 5] (w:1, o:175, a:1, s:1, b:0),
% 2.42/2.78 'class_Orderings_Opreorder' [68, 1] (w:1, o:84, a:1, s:1, b:0),
% 2.42/2.78 'c_HOL_Oord__class_Oless' [69, 3] (w:1, o:138, a:1, s:1, b:0),
% 2.42/2.78 'class_Orderings_Oorder' [70, 1] (w:1, o:83, a:1, s:1, b:0),
% 2.42/2.78 'class_HOL_Oord' [71, 1] (w:1, o:85, a:1, s:1, b:0),
% 2.42/2.78 'c_HOL_Ominus__class_Ominus' [72, 3] (w:1, o:139, a:1, s:1, b:0),
% 2.42/2.78 'class_Lattices_Obounded__lattice' [73, 1] (w:1, o:86, a:1, s:1, b:0)
% 2.42/2.78 ,
% 2.42/2.78 hBOOL [74, 1] (w:1, o:87, a:1, s:1, b:0),
% 2.42/2.78 'c_Relation_OImage' [79, 4] (w:1, o:160, a:1, s:1, b:0),
% 2.42/2.78 'c_Finite__Set_Ofold__graph' [80, 6] (w:1, o:185, a:1, s:1, b:0),
% 2.42/2.78 'c_Set_Oinsert' [81, 3] (w:1, o:141, a:1, s:1, b:0),
% 2.42/2.78 'class_Orderings_Obot' [82, 1] (w:1, o:88, a:1, s:1, b:0),
% 2.42/2.78 'c_HOL_Ouminus__class_Ouminus' [83, 1] (w:1, o:89, a:1, s:1, b:0),
% 2.42/2.78 'class_OrderedGroup_Opordered__ab__group__add' [84, 1] (w:1, o:90, a:
% 2.42/2.78 1, s:1, b:0),
% 2.42/2.78 'c_Relation_Oconverse' [86, 3] (w:1, o:140, a:1, s:1, b:0),
% 2.42/2.78 'class_Orderings_Olinorder' [89, 1] (w:1, o:91, a:1, s:1, b:0),
% 2.42/2.78 'c_Fun_Oinj__on' [90, 4] (w:1, o:162, a:1, s:1, b:0),
% 2.42/2.78 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [92, 4] (w:1
% 2.42/2.78 , o:163, a:1, s:1, b:0),
% 2.42/2.78 'c_in' [95, 1] (w:1, o:92, a:1, s:1, b:0),
% 2.42/2.78 'c_Equiv__Relations_Oequiv' [96, 3] (w:1, o:142, a:1, s:1, b:0),
% 2.42/2.78 'tc_prod' [97, 2] (w:1, o:128, a:1, s:1, b:0),
% 2.42/2.78 'c_Pair' [98, 4] (w:1, o:164, a:1, s:1, b:0),
% 2.42/2.78 'class_Complete__Lattice_Ocomplete__lattice' [99, 1] (w:1, o:93, a:1
% 2.42/2.78 , s:1, b:0),
% 2.42/2.78 'c_COMBC' [104, 4] (w:1, o:165, a:1, s:1, b:0),
% 2.42/2.78 'c_Complete__Lattice_OSup__class_OSup' [105, 2] (w:1, o:130, a:1, s:1
% 2.42/2.78 , b:0),
% 2.42/2.78 'class_OrderedGroup_Olordered__ab__group__add' [106, 1] (w:1, o:94
% 2.42/2.78 , a:1, s:1, b:0),
% 2.42/2.78 'class_Lattices_Oboolean__algebra' [107, 1] (w:1, o:95, a:1, s:1, b:0
% 2.42/2.78 ),
% 2.42/2.78 'c_Complete__Lattice_OInf__class_OInf' [108, 2] (w:1, o:131, a:1, s:1
% 2.42/2.78 , b:0),
% 2.42/2.78 'c_Not' [109, 0] (w:1, o:55, a:1, s:1, b:0),
% 2.42/2.78 'c_Collect' [110, 2] (w:1, o:129, a:1, s:1, b:0),
% 2.42/2.78 'c_Set_Ovimage' [111, 4] (w:1, o:166, a:1, s:1, b:0),
% 2.42/2.78 'c_Set_OPow' [112, 2] (w:1, o:132, a:1, s:1, b:0),
% 2.42/2.78 'c_Equiv__Relations_Oquotient' [113, 3] (w:1, o:143, a:1, s:1, b:0),
% 2.42/2.78
% 2.42/2.78 'c_Nitpick_Ofold__graph_H' [114, 6] (w:1, o:186, a:1, s:1, b:0),
% 2.42/2.78 'class_OrderedGroup_Oab__group__add' [115, 1] (w:1, o:96, a:1, s:1
% 2.42/2.78 , b:0),
% 2.42/2.78 'c_Finite__Set_Osetsum' [116, 4] (w:1, o:167, a:1, s:1, b:0),
% 2.42/2.78 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3' [118, 4] (w:1, o:168, a:1
% 2.42/2.78 , s:1, b:0),
% 2.42/2.78 'c_fequal' [120, 1] (w:1, o:97, a:1, s:1, b:0),
% 2.42/2.78 'c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1' [121, 3
% 2.42/2.78 ] (w:1, o:144, a:1, s:1, b:0),
% 2.42/2.78 'c_COMBK' [122, 3] (w:1, o:145, a:1, s:1, b:0),
% 2.42/2.78 'tc_Arrow__Order__Mirabelle_Oalt' [123, 0] (w:1, o:58, a:1, s:1, b:0)
% 2.42/2.78 ,
% 2.42/2.78 'c_Arrow__Order__Mirabelle_Omkbot' [125, 2] (w:1, o:133, a:1, s:1, b:
% 2.42/2.78 0),
% 2.42/2.78 'c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1' [126, 3] (w:1
% 2.42/2.78 , o:146, a:1, s:1, b:0),
% 2.42/2.78 'c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1' [127, 3] (w:1
% 2.42/2.78 , o:147, a:1, s:1, b:0),
% 2.42/2.78 'c_Typedef_Otype__definition' [130, 5] (w:1, o:178, a:1, s:1, b:0),
% 2.42/2.78 'c_List_Osko__Equiv__Relations__XquotientE__1__1' [132, 4] (w:1, o:
% 2.42/2.78 169, a:1, s:1, b:0),
% 2.42/2.78 'c_FuncSet_OPi' [134, 4] (w:1, o:170, a:1, s:1, b:0),
% 2.42/2.78 'c_FuncSet_Osko__FuncSet__XfuncsetI__1__1' [135, 5] (w:1, o:180, a:1
% 2.42/2.78 , s:1, b:0),
% 2.42/2.78 'tc_nat' [136, 0] (w:1, o:61, a:1, s:1, b:0),
% 2.42/2.78 'c_Complete__Lattice_Ocomplete__lattice' [145, 9] (w:1, o:187, a:1
% 2.42/2.78 , s:1, b:0),
% 2.42/2.78 'c_Arrow__Order__Mirabelle_Omktop' [146, 2] (w:1, o:134, a:1, s:1, b:
% 2.42/2.78 0),
% 2.42/2.78 'c_Fun_Ooverride__on' [147, 5] (w:1, o:181, a:1, s:1, b:0),
% 2.42/2.78 'class_OrderedGroup_Ogroup__add' [148, 1] (w:1, o:98, a:1, s:1, b:0)
% 2.42/2.78 ,
% 2.42/2.78 'c_Arrow__Order__Mirabelle_Oabove' [149, 3] (w:1, o:148, a:1, s:1, b:
% 2.42/2.78 0),
% 2.42/2.78 'c_Arrow__Order__Mirabelle_OLin' [150, 0] (w:1, o:66, a:1, s:1, b:0)
% 2.42/2.78 ,
% 2.42/2.78 'c_Arrow__Order__Mirabelle_Obelow' [151, 3] (w:1, o:149, a:1, s:1, b:
% 2.42/2.78 0),
% 2.42/2.78 'c_ATP__Linkup_Osko__Set__XbexCI__1__1' [152, 3] (w:1, o:150, a:1, s:
% 2.42/2.78 1, b:0),
% 2.42/2.78 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3' [154,
% 2.42/2.78 3] (w:1, o:151, a:1, s:1, b:0),
% 2.42/2.78 'c_SetInterval_Oord_OatLeastLessThan' [157, 5] (w:1, o:176, a:1, s:1
% 2.42/2.78 , b:0),
% 2.42/2.78 'c_SetInterval_Oord_OatLeastAtMost' [158, 4] (w:1, o:171, a:1, s:1
% 2.42/2.78 , b:0),
% 2.42/2.78 'c_SetInterval_Oord_OgreaterThanLessThan' [159, 4] (w:1, o:172, a:1
% 2.42/2.78 , s:1, b:0),
% 2.42/2.78 'c_SetInterval_Oord_OgreaterThanAtMost' [160, 5] (w:1, o:177, a:1, s:
% 2.42/2.78 1, b:0),
% 2.42/2.78 'c_ATP__Linkup_Osko__Set__XbexI__1__1' [161, 3] (w:1, o:152, a:1, s:1
% 2.42/2.78 , b:0),
% 2.42/2.78 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1' [162, 5] (w:1, o:
% 2.42/2.78 179, a:1, s:1, b:0),
% 2.42/2.78 'c_FuncSet_Oextensional' [163, 3] (w:1, o:153, a:1, s:1, b:0),
% 2.42/2.78 'class_Ring__and__Field_Oordered__idom' [164, 1] (w:1, o:99, a:1, s:1
% 2.42/2.78 , b:0),
% 2.42/2.78 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3' [165, 5] (w:1
% 2.42/2.78 , o:182, a:1, s:1, b:0),
% 2.42/2.78 'c_ATP__Linkup_Osko__Set__XbexE__1__1' [168, 3] (w:1, o:154, a:1, s:1
% 2.42/2.78 , b:0),
% 2.42/2.78 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1' [171,
% 2.42/2.78 4] (w:1, o:173, a:1, s:1, b:0),
% 2.42/2.78 'c_ATP__Linkup_Osko__Set__XballE__1__1' [173, 3] (w:1, o:155, a:1, s:
% 2.42/2.78 1, b:0),
% 2.42/2.78 'c_SetInterval_Oord_OatMost' [174, 3] (w:1, o:156, a:1, s:1, b:0),
% 2.42/2.78 'c_SetInterval_Oord_OgreaterThan' [177, 3] (w:1, o:157, a:1, s:1, b:0
% 2.42/2.78 ),
% 2.42/2.78 'c_SetInterval_Oord_OlessThan' [178, 3] (w:1, o:158, a:1, s:1, b:0),
% 2.42/2.78
% 2.42/2.78 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1' [179, 3] (w:1, o:159, a:1
% 2.42/2.78 , s:1, b:0),
% 2.42/2.78 'c_FuncSet_Osko__FuncSet__XPi__I__1__1' [180, 5] (w:1, o:183, a:1, s:
% 2.42/2.78 1, b:0),
% 2.42/2.78 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1' [181, 5] (w:1, o:184, a:1
% 2.42/2.78 , s:1, b:0),
% 2.42/2.78 'c_HOL_Oundefined' [182, 1] (w:1, o:100, a:1, s:1, b:0),
% 2.42/2.78 'v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1' [183, 0] (w:1, o:68
% 2.42/2.78 , a:1, s:1, b:0),
% 2.42/2.78 'v_thesis____' [184, 0] (w:1, o:70, a:1, s:1, b:0),
% 2.42/2.78 'v_sko__CHAINED__1' [185, 0] (w:1, o:69, a:1, s:1, b:0).
% 2.42/2.78
% 2.42/2.78
% 2.42/2.78 Starting Search:
% 2.42/2.78
% 2.42/2.78 Resimplifying inuse:
% 2.42/2.78 Done
% 2.42/2.78
% 2.42/2.78
% 2.42/2.78 Intermediate Status:
% 2.42/2.78 Generated: 8485
% 2.42/2.78 Kept: 2201
% 2.42/2.78 Inuse: 225
% 2.42/2.78 Deleted: 4
% 2.42/2.78 Deletedinuse: 0
% 2.42/2.78
% 2.42/2.78 Resimplifying inuse:
% 2.42/2.78 Done
% 2.42/2.78
% 2.42/2.78 Resimplifying inuse:
% 2.42/2.78 Done
% 2.42/2.78
% 2.42/2.78
% 2.42/2.78 Intermediate Status:
% 2.42/2.78 Generated: 20218
% 2.42/2.78 Kept: 4241
% 2.42/2.78 Inuse: 331
% 2.42/2.78 Deleted: 6
% 2.42/2.78 Deletedinuse: 1
% 2.42/2.78
% 2.42/2.78 Resimplifying inuse:
% 2.42/2.78 Done
% 2.42/2.78
% 2.42/2.78 Resimplifying inuse:
% 2.42/2.78 Done
% 2.42/2.78
% 2.42/2.78
% 2.42/2.78 Intermediate Status:
% 2.42/2.78 Generated: 27938
% 2.42/2.78 Kept: 6279
% 2.42/2.78 Inuse: 371
% 2.42/2.78 Deleted: 7
% 2.42/2.78 Deletedinuse: 2
% 2.42/2.78
% 2.42/2.78 Resimplifying inuse:
% 2.42/2.78 Done
% 2.42/2.78
% 2.42/2.78 Resimplifying inuse:
% 2.42/2.78 Done
% 2.42/2.78
% 2.42/2.78
% 2.42/2.78 Intermediate Status:
% 2.42/2.78 Generated: 38950
% 2.42/2.78 Kept: 8410
% 2.42/2.78 Inuse: 436
% 2.42/2.78 Deleted: 96
% 2.42/2.78 Deletedinuse: 91
% 2.42/2.78
% 2.42/2.78 Resimplifying inuse:
% 2.42/2.78 Done
% 2.42/2.78
% 2.42/2.78 Resimplifying inuse:
% 2.42/2.78 Done
% 2.42/2.78
% 2.42/2.78
% 2.42/2.78 Intermediate Status:
% 2.42/2.78 Generated: 50014
% 2.42/2.78 Kept: 10909
% 2.42/2.78 Inuse: 471
% 2.42/2.78 Deleted: 96
% 2.42/2.78 Deletedinuse: 91
% 2.42/2.78
% 2.42/2.78 Resimplifying inuse:
% 2.42/2.78 Done
% 2.42/2.78
% 2.42/2.78 Resimplifying inuse:
% 2.42/2.78 Done
% 2.42/2.78
% 2.42/2.78
% 2.42/2.78 Intermediate Status:
% 2.42/2.78 Generated: 60814
% 2.42/2.78 Kept: 12910
% 2.42/2.78 Inuse: 552
% 2.42/2.78 Deleted: 101
% 2.42/2.78 Deletedinuse: 91
% 2.42/2.78
% 2.42/2.78 Resimplifying inuse:
% 2.42/2.78 Done
% 2.42/2.78
% 2.42/2.78 Resimplifying inuse:
% 2.42/2.78 Done
% 2.42/2.78
% 2.42/2.78
% 2.42/2.78 Intermediate Status:
% 2.42/2.78 Generated: 76711
% 2.42/2.78 Kept: 15023
% 2.42/2.78 Inuse: 621
% 2.42/2.78 Deleted: 109
% 2.42/2.78 Deletedinuse: 92
% 2.42/2.78
% 2.42/2.78 Resimplifying inuse:
% 2.42/2.78 Done
% 2.42/2.78
% 2.42/2.78 Resimplifying inuse:
% 2.42/2.78 Done
% 2.42/2.78
% 2.42/2.78
% 2.42/2.78 Intermediate Status:
% 2.42/2.78 Generated: 85710
% 2.42/2.78 Kept: 17053
% 2.42/2.78 Inuse: 629
% 2.42/2.78 Deleted: 129
% 2.42/2.78 Deletedinuse: 92
% 2.42/2.78
% 2.42/2.78 Resimplifying inuse:
% 2.42/2.78 Done
% 2.42/2.78
% 2.42/2.78 Resimplifying inuse:
% 2.42/2.78 Done
% 2.42/2.78
% 2.42/2.78
% 2.42/2.78 Intermediate Status:
% 2.42/2.78 Generated: 94537
% 2.42/2.78 Kept: 19057
% 2.42/2.78 Inuse: 671
% 2.42/2.78 Deleted: 181
% 2.42/2.78 Deletedinuse: 93
% 2.42/2.78
% 2.42/2.78 Resimplifying inuse:
% 2.42/2.78 Done
% 2.42/2.78
% 2.42/2.78 Resimplifying clauses:
% 2.42/2.78
% 2.42/2.78 Bliksems!, er is een bewijs:
% 2.42/2.78 % SZS status Unsatisfiable
% 2.42/2.78 % SZS output start Refutation
% 2.42/2.78
% 2.42/2.78 clause( 551, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.78 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.78 'tc_bool' ) ), 'v_sko__CHAINED__1' ), 'c_Arrow__Order__Mirabelle_OLin' )
% 2.42/2.78 ) ] )
% 2.42/2.78 .
% 2.42/2.78 clause( 552, [ ~( 'v_thesis____' ) ] )
% 2.42/2.78 .
% 2.42/2.78 clause( 553, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.78 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.78 'tc_bool' ) ), X ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ] )
% 2.42/2.78 .
% 2.42/2.78 clause( 20023, [] )
% 2.42/2.78 .
% 2.42/2.78
% 2.42/2.78
% 2.42/2.78 % SZS output end Refutation
% 2.42/2.78 found a proof!
% 2.42/2.78
% 2.42/2.78 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.42/2.78
% 2.42/2.78 initialclauses(
% 2.42/2.78 [ clause( 20025, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 2.42/2.78 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 2.42/2.78 , clause( 20026, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 2.42/2.78 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 2.42/2.78 ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 2.42/2.78 , clause( 20027, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 2.42/2.78 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 2.42/2.78 ), X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 2.42/2.78 , clause( 20028, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 2.42/2.78 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 2.42/2.78 , clause( 20029, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 2.42/2.78 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 2.42/2.78 , clause( 20030, [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W
% 2.42/2.78 ), 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ] )
% 2.42/2.78 , clause( 20031, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 2.42/2.78 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 2.42/2.78 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 2.42/2.78 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20032, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 2.42/2.78 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 2.42/2.78 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 2.42/2.78 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20033, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 2.42/2.78 , clause( 20034, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 2.42/2.78 , clause( 20035, [ 'c_lessequals'( X,
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 2.42/2.78 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z,
% 2.42/2.78 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T,
% 2.42/2.78 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20036, [ 'c_lessequals'( X,
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 2.42/2.78 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z,
% 2.42/2.78 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T,
% 2.42/2.78 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20037, [ 'c_lessequals'(
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 2.42/2.78 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 2.42/2.78 , clause( 20038, [ 'c_lessequals'(
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 2.42/2.78 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 2.42/2.78 , clause( 20039, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 2.42/2.78 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 2.42/2.78 Y, X ) ] )
% 2.42/2.78 , clause( 20040, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 2.42/2.78 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 2.42/2.78 Z, X ) ] )
% 2.42/2.78 , clause( 20041, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 2.42/2.78 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 2.42/2.78 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 2.42/2.78 )
% 2.42/2.78 , clause( 20042, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 2.42/2.78 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 2.42/2.78 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 2.42/2.78 )
% 2.42/2.78 , clause( 20043, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 2.42/2.78 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 2.42/2.78 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 2.42/2.78 )
% 2.42/2.78 , clause( 20044, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ] )
% 2.42/2.78 , clause( 20045, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ] )
% 2.42/2.78 , clause( 20046, [ 'c_lessequals'(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 2.42/2.78 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, U,
% 2.42/2.78 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 2.42/2.78 Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z
% 2.42/2.78 , 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20047, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 2.42/2.78 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 2.42/2.78 ) ), 'tc_fun'( X, 'tc_bool' ) ) ] )
% 2.42/2.78 , clause( 20048, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 2.42/2.78 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'(
% 2.42/2.78 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20049, [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ]
% 2.42/2.78 )
% 2.42/2.78 , clause( 20050, [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ]
% 2.42/2.78 )
% 2.42/2.78 , clause( 20051, [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ]
% 2.42/2.78 )
% 2.42/2.78 , clause( 20052, [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ]
% 2.42/2.78 )
% 2.42/2.78 , clause( 20053, [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ]
% 2.42/2.78 )
% 2.42/2.78 , clause( 20054, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 2.42/2.78 , 'tc_fun'( Z, 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 2.42/2.78 'tc_bool' ) ) ] )
% 2.42/2.78 , clause( 20055, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 2.42/2.78 'tc_fun'( Z, 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 2.42/2.78 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20056, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 2.42/2.78 'tc_fun'( Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 2.42/2.78 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20057, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 2.42/2.78 'c_lessequals'( Y, Z, X ) ) ] )
% 2.42/2.78 , clause( 20058, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 2.42/2.78 'c_lessequals'( Y, Z, X ) ] )
% 2.42/2.78 , clause( 20059, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 2.42/2.78 'c_lessequals'( Z, Y, X ) ) ] )
% 2.42/2.78 , clause( 20060, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 2.42/2.78 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 2.42/2.78 , clause( 20061, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z
% 2.42/2.78 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 2.42/2.78 , clause( 20062, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z,
% 2.42/2.78 'tc_fun'( T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X )
% 2.42/2.78 ) ) ] )
% 2.42/2.78 , clause( 20063, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 2.42/2.78 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20064, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ] )
% 2.42/2.78 , clause( 20065, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 2.42/2.78 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 2.42/2.78 , clause( 20066, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 2.42/2.78 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 2.42/2.78 , clause( 20067, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 2.42/2.78 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 2.42/2.78 , clause( 20068, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 2.42/2.78 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 2.42/2.78 )
% 2.42/2.78 , clause( 20069, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 2.42/2.78 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 2.42/2.78 )
% 2.42/2.78 , clause( 20070, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ] )
% 2.42/2.78 , clause( 20071, [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y
% 2.42/2.78 , Z, 'tc_fun'( T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~(
% 2.42/2.78 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ) ) ] )
% 2.42/2.78 , clause( 20072, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 2.42/2.78 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 2.42/2.78 'c_lessequals'( Y, Z, X ) ) ] )
% 2.42/2.78 , clause( 20073, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ] )
% 2.42/2.78 , clause( 20074, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 2.42/2.78 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'(
% 2.42/2.78 Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y,
% 2.42/2.78 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 2.42/2.78 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20075, [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U )
% 2.42/2.78 , Y, W, T, U ), 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ] )
% 2.42/2.78 , clause( 20076, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 2.42/2.78 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 2.42/2.78 'tc_bool' ) ), X ) ] )
% 2.42/2.78 , clause( 20077, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.78 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 2.42/2.78 X, 'tc_bool' ) ), Y ) ] )
% 2.42/2.78 , clause( 20078, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.78 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ] )
% 2.42/2.78 , clause( 20079, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.42/2.78 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ] )
% 2.42/2.78 , clause( 20080, [ hBOOL( hAPP(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 2.42/2.78 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ] )
% 2.42/2.78 , clause( 20081, [ hBOOL( hAPP(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 2.42/2.78 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ] )
% 2.42/2.78 , clause( 20082, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL(
% 2.42/2.78 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 2.42/2.78 'tc_bool' ) ), Y ) ) ) ] )
% 2.42/2.78 , clause( 20083, [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U )
% 2.42/2.78 , W, V0, T, U ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ),
% 2.42/2.78 Y, Z, T, U ) ), =( Y, W ) ] )
% 2.42/2.78 , clause( 20084, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 2.42/2.78 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 2.42/2.78 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 2.42/2.78 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20085, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 2.42/2.78 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 2.42/2.78 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 2.42/2.78 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 2.42/2.78 , clause( 20086, [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 2.42/2.78 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.78 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 2.42/2.78 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ] )
% 2.42/2.78 , clause( 20087, [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y,
% 2.42/2.78 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 2.42/2.78 )
% 2.42/2.78 , clause( 20088, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'(
% 2.42/2.78 Z, 'tc_bool' ) ) ] )
% 2.42/2.78 , clause( 20089, [ =( 'c_Relation_OImage'( X,
% 2.42/2.78 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ),
% 2.42/2.78 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20090, [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 2.42/2.78 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ] )
% 2.42/2.78 , clause( 20091, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 2.42/2.78 X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ] )
% 2.42/2.78 , clause( 20092, [ 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 2.42/2.78 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 2.42/2.78 'tc_fun'( X, 'tc_bool' ) ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 2.42/2.78 'c_lessequals'( Z, Y, 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20093, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 2.42/2.78 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z,
% 2.42/2.78 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z,
% 2.42/2.78 'tc_bool' ) ), X ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20094, [ 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 2.42/2.78 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 2.42/2.78 'tc_fun'( X, 'tc_bool' ) ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 2.42/2.78 'c_lessequals'( Z, Y, 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20095, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.42/2.78 , 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 2.42/2.78 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 2.42/2.78 ) ) ] )
% 2.42/2.78 , clause( 20096, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.42/2.78 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 2.42/2.78 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 2.42/2.78 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ] )
% 2.42/2.78 , clause( 20097, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 2.42/2.78 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'(
% 2.42/2.78 Y, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 2.42/2.78 'tc_bool' ) ), T ) ) ] )
% 2.42/2.78 , clause( 20098, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.78 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 2.42/2.78 'c_Set_Oinsert'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 2.42/2.78 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 2.42/2.78 , clause( 20099, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 2.42/2.78 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 2.42/2.78 )
% 2.42/2.78 , clause( 20100, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 2.42/2.78 'c_lessequals'( 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) )
% 2.42/2.78 ) ] )
% 2.42/2.78 , clause( 20101, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 2.42/2.78 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 2.42/2.78 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 2.42/2.78 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20102, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 2.42/2.78 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 2.42/2.78 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 2.42/2.78 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20103, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 2.42/2.78 , clause( 20104, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 2.42/2.78 , clause( 20105, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X,
% 2.42/2.78 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 2.42/2.78 , clause( 20106, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ] )
% 2.42/2.78 , clause( 20107, [ =( 'c_Relation_OImage'( X,
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 2.42/2.78 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.78 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 2.42/2.78 'tc_fun'( U, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20108, [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U,
% 2.42/2.78 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, hAPP(
% 2.42/2.78 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ),
% 2.42/2.78 'c_Relation_OImage'( 'c_Relation_Oconverse'( X, Z, T ), hAPP(
% 2.42/2.78 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( T, 'tc_bool' ) ), U ), T, Z ) )
% 2.42/2.78 , 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20109, [ 'c_lessequals'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 2.42/2.78 'tc_fun'( Y, 'tc_bool' ) ), 'c_Relation_OImage'( 'c_Relation_Oconverse'(
% 2.42/2.78 Z, Y, T ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( T, 'tc_bool' )
% 2.42/2.78 ), U ), T, Y ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'(
% 2.42/2.78 'c_Relation_OImage'( Z, X, Y, T ), U, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20110, [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP(
% 2.42/2.78 Y, W ) ) ) ] )
% 2.42/2.78 , clause( 20111, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 2.42/2.78 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 2.42/2.78 , clause( 20112, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 2.42/2.78 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 2.42/2.78 , clause( 20113, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 2.42/2.78 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, T,
% 2.42/2.78 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20114, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 2.42/2.78 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, X,
% 2.42/2.78 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20115, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z
% 2.42/2.78 , X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 2.42/2.78 )
% 2.42/2.78 , clause( 20116, [ ~( 'class_Orderings_Oorder'( X ) ),
% 2.42/2.78 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 2.42/2.78 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 2.42/2.78 , clause( 20117, [ ~( 'class_Orderings_Oorder'( X ) ),
% 2.42/2.78 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 2.42/2.78 , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 2.42/2.78 , clause( 20118, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 2.42/2.78 , Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 2.42/2.78 ] )
% 2.42/2.78 , clause( 20119, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 2.42/2.78 , clause( 20120, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 2.42/2.78 , clause( 20121, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 2.42/2.78 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 2.42/2.78 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20122, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U
% 2.42/2.78 , 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ] )
% 2.42/2.78 , clause( 20123, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~(
% 2.42/2.78 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20124, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 2.42/2.78 , X ) ] )
% 2.42/2.78 , clause( 20125, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 2.42/2.78 , Y, X ) ] )
% 2.42/2.78 , clause( 20126, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 2.42/2.78 ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 2.42/2.78 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20127, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 2.42/2.78 ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 2.42/2.78 ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20128, [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'(
% 2.42/2.78 T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ] )
% 2.42/2.78 , clause( 20129, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 2.42/2.78 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 2.42/2.78 , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 2.42/2.78 , clause( 20130, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 2.42/2.78 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~(
% 2.42/2.78 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 2.42/2.78 , clause( 20131, [ 'c_lessequals'(
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 2.42/2.78 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, U,
% 2.42/2.78 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 2.42/2.78 Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z
% 2.42/2.78 , 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20132, [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 2.42/2.78 'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.78 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Z, 'tc_fun'(
% 2.42/2.78 U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 2.42/2.78 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20133, [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP(
% 2.42/2.78 X, W ) ), =( W, Y ) ] )
% 2.42/2.78 , clause( 20134, [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP(
% 2.42/2.78 X, W ) ), =( W, Y ) ] )
% 2.42/2.78 , clause( 20135, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 2.42/2.78 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 2.42/2.78 T, 'tc_bool' ) ), Z ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' )
% 2.42/2.78 ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20136, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.42/2.78 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 2.42/2.78 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ),
% 2.42/2.78 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 2.42/2.78 , clause( 20137, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.42/2.78 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 2.42/2.78 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ),
% 2.42/2.78 ~( 'c_lessequals'( U, T, X ) ) ] )
% 2.42/2.78 , clause( 20138, [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ),
% 2.42/2.78 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 2.42/2.78 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20139, [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 2.42/2.78 'c_lessequals'( 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U
% 2.42/2.78 ), 'tc_fun'( U, 'tc_bool' ) ) ] )
% 2.42/2.78 , clause( 20140, [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ),
% 2.42/2.78 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 2.42/2.78 Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20141, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.78 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 2.42/2.78 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 2.42/2.78 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 2.42/2.78 ) ] )
% 2.42/2.78 , clause( 20142, [ ~( 'class_Orderings_Oorder'( X ) ),
% 2.42/2.78 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 2.42/2.78 , X ) ) ] )
% 2.42/2.78 , clause( 20143, [ ~( 'class_Orderings_Oorder'( X ) ),
% 2.42/2.78 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 2.42/2.78 Z, Y ) ] )
% 2.42/2.78 , clause( 20144, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 2.42/2.78 ) ), =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 2.42/2.78 )
% 2.42/2.78 , clause( 20145, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 2.42/2.78 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 2.42/2.78 , clause( 20146, [ ~( 'class_Orderings_Oorder'( X ) ),
% 2.42/2.78 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 2.42/2.78 , X ) ) ] )
% 2.42/2.78 , clause( 20147, [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z
% 2.42/2.78 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 2.42/2.78 )
% 2.42/2.78 , clause( 20148, [ ~( 'class_Orderings_Oorder'( X ) ),
% 2.42/2.78 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 2.42/2.78 , X ) ) ] )
% 2.42/2.78 , clause( 20149, [ ~( 'class_Orderings_Oorder'( X ) ),
% 2.42/2.78 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 2.42/2.78 Y, Z ) ] )
% 2.42/2.78 , clause( 20150, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~(
% 2.42/2.78 'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 2.42/2.78 , clause( 20151, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 2.42/2.78 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 2.42/2.78 , clause( 20152, [ =( 'c_Set_Oimage'( X,
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 2.42/2.78 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.78 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 2.42/2.78 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20153, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 2.42/2.78 , Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 2.42/2.78 , clause( 20154, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'(
% 2.42/2.78 Z, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 2.42/2.78 'tc_bool' ) ), X ), X, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 2.42/2.78 ) ) ), ~( 'c_Equiv__Relations_Oequiv'( T, Z, X ) ) ] )
% 2.42/2.78 , clause( 20155, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'(
% 2.42/2.78 Y, Z, X, X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), U ) ) ),
% 2.42/2.78 ~( 'c_lessequals'( 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Z,
% 2.42/2.78 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ),
% 2.42/2.78 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 2.42/2.78 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ),
% 2.42/2.78 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, X ) )
% 2.42/2.78 ] )
% 2.42/2.78 , clause( 20156, [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z,
% 2.42/2.78 T, U ), hAPP( hAPP( X, Z ), W ), U, V0 ), ~( 'c_Finite__Set_Ofold__graph'(
% 2.42/2.78 X, Y, T, W, U, V0 ) ), hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ] )
% 2.42/2.78 , clause( 20157, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 2.42/2.78 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) )
% 2.42/2.78 ), hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), X ) ) ] )
% 2.42/2.78 , clause( 20158, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 2.42/2.78 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 2.42/2.78 hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ] )
% 2.42/2.78 , clause( 20159, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL(
% 2.42/2.78 hAPP( hAPP( 'c_in'( Z ), T ), X ) ), ~( 'c_lessequals'( X,
% 2.42/2.78 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20160, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 2.42/2.78 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 2.42/2.78 hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ] )
% 2.42/2.78 , clause( 20161, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~(
% 2.42/2.78 'c_lessequals'( 'c_Set_Oinsert'( Y, T, X ), Z, 'tc_fun'( X, 'tc_bool' ) )
% 2.42/2.78 ) ] )
% 2.42/2.78 , clause( 20162, [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'(
% 2.42/2.78 Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 2.42/2.78 ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ] )
% 2.42/2.78 , clause( 20163, [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ),
% 2.42/2.78 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( 'c_lessequals'(
% 2.42/2.78 'c_Set_Oimage'( Y, W, U, X ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20164, [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W
% 2.42/2.78 , T, U ), 'c_Set_Oimage'( X, W, T, U ) ), hBOOL( hAPP( hAPP( 'c_in'( T )
% 2.42/2.78 , Y ), W ) ) ] )
% 2.42/2.78 , clause( 20165, [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 2.42/2.78 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 2.42/2.78 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 2.42/2.78 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 2.42/2.78 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 2.42/2.78 ) ), X ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ] )
% 2.42/2.78 , clause( 20166, [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 2.42/2.78 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 2.42/2.78 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 2.42/2.78 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 2.42/2.78 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 2.42/2.78 ) ), X ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ] )
% 2.42/2.78 , clause( 20167, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 2.42/2.78 'c_lessequals'( hAPP( Y, Z ),
% 2.42/2.78 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, X ), X )
% 2.42/2.78 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ] )
% 2.42/2.78 , clause( 20168, [ 'c_lessequals'( hAPP( X, Y ),
% 2.42/2.78 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 2.42/2.78 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.78 'c_in'( T ), Y ), Z ) ) ) ] )
% 2.42/2.78 , clause( 20169, [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool'
% 2.42/2.78 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), W ) ) ), ~( 'c_lessequals'(
% 2.42/2.78 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( W, X, U, 'tc_fun'(
% 2.42/2.78 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20170, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( X
% 2.42/2.78 , Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T,
% 2.42/2.78 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 2.42/2.78 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 2.42/2.78 U, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ) ] )
% 2.42/2.78 , clause( 20171, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 2.42/2.78 'c_lessequals'( hAPP( 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' )
% 2.42/2.78 , 'tc_bool' ), X ), hAPP( 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z,
% 2.42/2.78 'tc_bool' ), 'tc_bool' ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20172, [ 'c_lessequals'( hAPP( 'c_COMBC'( 'c_in'( X ), X,
% 2.42/2.78 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X )
% 2.42/2.78 , X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Z ), 'tc_fun'( X, 'tc_bool' )
% 2.42/2.78 ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20173, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 2.42/2.78 'c_lessequals'( Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ),
% 2.42/2.78 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ] )
% 2.42/2.78 , clause( 20174, [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 2.42/2.78 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 2.42/2.78 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20175, [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 2.42/2.78 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 2.42/2.78 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 2.42/2.78 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 2.42/2.78 Z, 'tc_bool' ) ) ) ] )
% 2.42/2.78 , clause( 20176, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.78 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 2.42/2.78 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 2.42/2.78 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ] )
% 2.42/2.78 , clause( 20177, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 2.42/2.78 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 2.42/2.78 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 2.42/2.78 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ] )
% 2.42/2.78 , clause( 20178, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 2.42/2.78 , =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ),
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 2.42/2.78 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 2.42/2.78 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ] )
% 2.42/2.78 , clause( 20179, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 2.42/2.78 'c_HOL_Ouminus__class_Ouminus'( X ),
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ),
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 2.42/2.78 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 2.42/2.78 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ] )
% 2.42/2.78 , clause( 20180, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 2.42/2.78 , =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ),
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 2.42/2.78 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 2.42/2.78 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ] )
% 2.42/2.78 , clause( 20181, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 2.42/2.78 'c_HOL_Ouminus__class_Ouminus'( X ),
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ),
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 2.42/2.78 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 2.42/2.78 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ] )
% 2.42/2.78 , clause( 20182, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 2.42/2.78 , =( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), hAPP(
% 2.42/2.78 'c_HOL_Ouminus__class_Ouminus'( X ),
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 2.42/2.78 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 2.42/2.78 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ) ] )
% 2.42/2.78 , clause( 20183, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 2.42/2.78 , =( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), hAPP(
% 2.42/2.78 'c_HOL_Ouminus__class_Ouminus'( X ),
% 2.42/2.78 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 2.42/2.78 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 2.42/2.78 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ) ] )
% 2.42/2.78 , clause( 20184, [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 2.42/2.78 'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 2.42/2.78 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ),
% 2.42/2.78 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, Z, 'tc_fun'(
% 2.42/2.79 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20185, [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.79 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 2.42/2.79 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ] )
% 2.42/2.79 , clause( 20186, [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 2.42/2.79 X, 'c_COMBB'( Y, Z, T, 'tc_fun'( U, 'tc_bool' ), W ), W, 'tc_fun'( U,
% 2.42/2.79 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 2.42/2.79 'c_Set_Oimage'( Z, X, W, T ), Y, T, 'tc_fun'( U, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20187, [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 2.42/2.79 'c_Set_Oimage'( X, Y, Z, T ), U, T, 'tc_fun'( W, 'tc_bool' ) ),
% 2.42/2.79 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBB'( U, X
% 2.42/2.79 , T, 'tc_fun'( W, 'tc_bool' ), Z ), Z, 'tc_fun'( W, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20188, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 2.42/2.79 =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X
% 2.42/2.79 ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.42/2.79 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ] )
% 2.42/2.79 , clause( 20189, [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U
% 2.42/2.79 , Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), Z, T ) ), =( Y, U ) ] )
% 2.42/2.79 , clause( 20190, [ 'c_lessequals'( X,
% 2.42/2.79 'c_Complete__Lattice_OSup__class_OSup'( Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), X ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20191, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 2.42/2.79 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U,
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ] )
% 2.42/2.79 , clause( 20192, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ] )
% 2.42/2.79 , clause( 20193, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 2.42/2.79 T, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20194, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 2.42/2.79 T, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20195, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 2.42/2.79 'c_lessequals'( 'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ),
% 2.42/2.79 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20196, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 2.42/2.79 X, 'tc_bool' ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 2.42/2.79 ), 'tc_fun'( X, 'tc_bool' ) ) ] )
% 2.42/2.79 , clause( 20197, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 2.42/2.79 'tc_bool' ) ) ), ~( 'c_lessequals'( X, hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), 'tc_fun'(
% 2.42/2.79 Y, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20198, [ =( 'c_Collect'( 'c_COMBB'( 'c_Not', X, 'tc_bool',
% 2.42/2.79 'tc_bool', Y ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y,
% 2.42/2.79 'tc_bool' ) ), 'c_Collect'( X, Y ) ) ) ] )
% 2.42/2.79 , clause( 20199, [ =( 'c_Set_Ovimage'( X, 'c_Collect'( Y, Z ), T, Z ),
% 2.42/2.79 'c_Collect'( 'c_COMBB'( Y, X, Z, 'tc_bool', T ), T ) ) ] )
% 2.42/2.79 , clause( 20200, [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 2.42/2.79 'tc_fun'( X, 'tc_bool' ) ) ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), 'tc_fun'(
% 2.42/2.79 X, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20201, [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 2.42/2.79 'tc_fun'( X, 'tc_bool' ) ) ),
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), 'tc_fun'(
% 2.42/2.79 X, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20202, [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y
% 2.42/2.79 , Z, T ), Z, T ), Y, 'tc_fun'( T, 'tc_bool' ) ) ] )
% 2.42/2.79 , clause( 20203, [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool'
% 2.42/2.79 ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z,
% 2.42/2.79 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20204, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, 'tc_bool' ) ), X ), 'c_Set_OPow'(
% 2.42/2.79 Y, Z ) ) ) ) ] )
% 2.42/2.79 , clause( 20205, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 2.42/2.79 ), 'c_Set_OPow'( Z, X ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20206, [ =( 'c_Complete__Lattice_OSup__class_OSup'(
% 2.42/2.79 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ), X
% 2.42/2.79 ), ~( 'c_Equiv__Relations_Oequiv'( X, Y, Z ) ) ] )
% 2.42/2.79 , clause( 20207, [ 'c_lessequals'( 'c_Complete__Lattice_OInf__class_OInf'(
% 2.42/2.79 X, 'tc_fun'( Y, 'tc_bool' ) ), Z, 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), X ) ) ) ] )
% 2.42/2.79 , clause( 20208, [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 2.42/2.79 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 2.42/2.79 ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( Z ), Y ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ),
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z ) )
% 2.42/2.79 , X ) ) ] )
% 2.42/2.79 , clause( 20209, [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 2.42/2.79 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 2.42/2.79 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 2.42/2.79 ) ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( Z ), Y ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U
% 2.42/2.79 , X, Z ) ) ] )
% 2.42/2.79 , clause( 20210, [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 2.42/2.79 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 2.42/2.79 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z ) ), X ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 2.42/2.79 , Y ), U ) ) ) ] )
% 2.42/2.79 , clause( 20211, [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 2.42/2.79 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 2.42/2.79 ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 2.42/2.79 ) ), X ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~(
% 2.42/2.79 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ] )
% 2.42/2.79 , clause( 20212, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 2.42/2.79 Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 2.42/2.79 , clause( 20213, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 2.42/2.79 'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 2.42/2.79 , clause( 20214, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 2.42/2.79 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 2.42/2.79 )
% 2.42/2.79 , clause( 20215, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 2.42/2.79 , Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 2.42/2.79 , clause( 20216, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 2.42/2.79 Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 2.42/2.79 , clause( 20217, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 2.42/2.79 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 2.42/2.79 , clause( 20218, [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z,
% 2.42/2.79 'tc_fun'( T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X
% 2.42/2.79 ) ) ) ] )
% 2.42/2.79 , clause( 20219, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'(
% 2.42/2.79 Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 2.42/2.79 , clause( 20220, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20221, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20222, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 2.42/2.79 , clause( 20223, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 2.42/2.79 , clause( 20224, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 2.42/2.79 , clause( 20225, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 2.42/2.79 , clause( 20226, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20227, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20228, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 2.42/2.79 'c_lessequals'( Y, Z, X ) ) ] )
% 2.42/2.79 , clause( 20229, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 2.42/2.79 'c_lessequals'( Y, Z, X ) ] )
% 2.42/2.79 , clause( 20230, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 2.42/2.79 'c_lessequals'( Z, Y, X ) ) ] )
% 2.42/2.79 , clause( 20231, [ 'c_lessequals'(
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T,
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20232, [ 'c_lessequals'( X,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 2.42/2.79 , clause( 20233, [ 'c_lessequals'( X,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 2.42/2.79 , clause( 20234, [ 'c_lessequals'(
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T,
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20235, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 2.42/2.79 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 2.42/2.79 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 2.42/2.79 )
% 2.42/2.79 , clause( 20236, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 2.42/2.79 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X
% 2.42/2.79 ), X ) ] )
% 2.42/2.79 , clause( 20237, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 2.42/2.79 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X
% 2.42/2.79 ), X ) ] )
% 2.42/2.79 , clause( 20238, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 2.42/2.79 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 2.42/2.79 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 2.42/2.79 )
% 2.42/2.79 , clause( 20239, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 2.42/2.79 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 2.42/2.79 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 2.42/2.79 )
% 2.42/2.79 , clause( 20240, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ] )
% 2.42/2.79 , clause( 20241, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ] )
% 2.42/2.79 , clause( 20242, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 2.42/2.79 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 2.42/2.79 ) ) ] )
% 2.42/2.79 , clause( 20243, [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'(
% 2.42/2.79 Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z
% 2.42/2.79 ), 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z
% 2.42/2.79 ) ), 'c_Pair'( Y, T, Z, Z ) ), X ) ) ), ~( 'c_Equiv__Relations_Oequiv'(
% 2.42/2.79 U, X, Z ) ) ] )
% 2.42/2.79 , clause( 20244, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ] )
% 2.42/2.79 , clause( 20245, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 2.42/2.79 , clause( 20246, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20247, [ 'c_Finite__Set_Ofold__graph'( X, Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ]
% 2.42/2.79 )
% 2.42/2.79 , clause( 20248, [ 'c_Nitpick_Ofold__graph_H'( X, Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ]
% 2.42/2.79 )
% 2.42/2.79 , clause( 20249, [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ),
% 2.42/2.79 'c_Set_Ovimage'( X, U, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 2.42/2.79 'c_lessequals'( Y, U, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20250, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 2.42/2.79 , 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 2.42/2.79 , 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20251, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 2.42/2.79 , 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 2.42/2.79 , 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20252, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 2.42/2.79 , clause( 20253, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 2.42/2.79 , clause( 20254, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.79 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20255, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 2.42/2.79 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20256, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 2.42/2.79 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20257, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 2.42/2.79 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20258, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 2.42/2.79 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 2.42/2.79 , clause( 20259, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 2.42/2.79 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 2.42/2.79 , clause( 20260, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 2.42/2.79 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 2.42/2.79 T, X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 2.42/2.79 , clause( 20261, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 2.42/2.79 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 2.42/2.79 T, X ), ~( 'c_lessequals'( Z, T, X ) ) ] )
% 2.42/2.79 , clause( 20262, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 2.42/2.79 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 2.42/2.79 , clause( 20263, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 2.42/2.79 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 2.42/2.79 , clause( 20264, [ =( 'c_HOL_Ominus__class_Ominus'(
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 2.42/2.79 Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20265, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.79 Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20266, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 2.42/2.79 , clause( 20267, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 2.42/2.79 , clause( 20268, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20269, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 2.42/2.79 , clause( 20270, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 2.42/2.79 , clause( 20271, [ =( 'c_Set_Ovimage'( X,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ), U, T ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.42/2.79 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 2.42/2.79 , 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20272, [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP(
% 2.42/2.79 X, Y ), Z ) ] )
% 2.42/2.79 , clause( 20273, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 2.42/2.79 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 2.42/2.79 Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 2.42/2.79 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ] )
% 2.42/2.79 , clause( 20274, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), Z, T ) ) ] )
% 2.42/2.79 , clause( 20275, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), Z, T ) ) ] )
% 2.42/2.79 , clause( 20276, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 2.42/2.79 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20277, [ 'c_lessequals'( X,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'(
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ), Z,
% 2.42/2.79 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20278, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 2.42/2.79 'c_HOL_Oord__class_Oless'( Y,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 2.42/2.79 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 2.42/2.79 , clause( 20279, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 2.42/2.79 'c_HOL_Oord__class_Oless'( Y,
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 2.42/2.79 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 2.42/2.79 , clause( 20280, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z )
% 2.42/2.79 , hAPP( T, Z ), X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ] )
% 2.42/2.79 , clause( 20281, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.42/2.79 , 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X )
% 2.42/2.79 , ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X
% 2.42/2.79 ) ) ] )
% 2.42/2.79 , clause( 20282, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.42/2.79 , 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X )
% 2.42/2.79 , ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X
% 2.42/2.79 ) ) ] )
% 2.42/2.79 , clause( 20283, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.42/2.79 , 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X )
% 2.42/2.79 , ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X
% 2.42/2.79 ) ) ] )
% 2.42/2.79 , clause( 20284, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.42/2.79 , 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X )
% 2.42/2.79 , ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X
% 2.42/2.79 ) ) ] )
% 2.42/2.79 , clause( 20285, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'(
% 2.42/2.79 X, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20286, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~(
% 2.42/2.79 'c_lessequals'( T, Z, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( X ), Y ), T ) ) ) ] )
% 2.42/2.79 , clause( 20287, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'(
% 2.42/2.79 X, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20288, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'(
% 2.42/2.79 X, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20289, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ] )
% 2.42/2.79 , clause( 20290, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ] )
% 2.42/2.79 , clause( 20291, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( T, Z, 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ) ) ) ) ] )
% 2.42/2.79 , clause( 20292, [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 2.42/2.79 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ),
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( X ), U ), Z ) ) ) ] )
% 2.42/2.79 , clause( 20293, [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 2.42/2.79 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ),
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( X ), U ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20294, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'(
% 2.42/2.79 Z, T, U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ),
% 2.42/2.79 'c_Pair'( W, Y, U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W )
% 2.42/2.79 , T ) ) ) ] )
% 2.42/2.79 , clause( 20295, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'(
% 2.42/2.79 Z, T, U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ),
% 2.42/2.79 'c_Pair'( W, Y, U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W )
% 2.42/2.79 , T ) ) ) ] )
% 2.42/2.79 , clause( 20296, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), U ) )
% 2.42/2.79 ), ~( 'c_Equiv__Relations_Oequiv'( Z, U, X ) ) ] )
% 2.42/2.79 , clause( 20297, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ), U ) )
% 2.42/2.79 ), ~( 'c_Equiv__Relations_Oequiv'( Z, U, X ) ) ] )
% 2.42/2.79 , clause( 20298, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'(
% 2.42/2.79 Y, Z, X, X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_OImage'( T,
% 2.42/2.79 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ), X ), X, X ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Z,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ),
% 2.42/2.79 'tc_fun'( X, 'tc_bool' ) ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T, X
% 2.42/2.79 ) ) ] )
% 2.42/2.79 , clause( 20299, [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W
% 2.42/2.79 , T, U ), hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), 'c_Set_Oimage'( X, W, T, U
% 2.42/2.79 ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ] )
% 2.42/2.79 , clause( 20300, [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Collect'( hAPP(
% 2.42/2.79 'c_COMBC'( 'c_fequal'( Z ), Z, Z, 'tc_bool' ), X ), Z ), Y, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20301, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 2.42/2.79 =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 2.42/2.79 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ), X ), X ), X ),
% 2.42/2.79 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 2.42/2.79 , clause( 20302, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 2.42/2.79 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 2.42/2.79 ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 2.42/2.79 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20303, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T )
% 2.42/2.79 , 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ), ~(
% 2.42/2.79 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20304, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T )
% 2.42/2.79 , 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ), hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( T ), Y ), Z ) ) ] )
% 2.42/2.79 , clause( 20305, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( Z ), T ), X ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), T )
% 2.42/2.79 , Y ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y, Z ),
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20306, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1'( X, Y, Z
% 2.42/2.79 ), X, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'(
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ) ) ), =(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.79 'c_Complete__Lattice_OSup__class_OSup'( Y, 'tc_fun'( Z, 'tc_bool' ) ), X
% 2.42/2.79 , 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 2.42/2.79 , 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20307, [ =( 'c_Set_Oimage'( X,
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.79 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 2.42/2.79 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ),
% 2.42/2.79 ~( 'c_lessequals'( Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 2.42/2.79 'c_Fun_Oinj__on'( X, W, T, U ) ) ] )
% 2.42/2.79 , clause( 20308, [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 2.42/2.79 , 'tc_fun'( T, 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'(
% 2.42/2.79 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 2.42/2.79 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ),
% 2.42/2.79 ~( 'c_lessequals'( Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 2.42/2.79 'c_Fun_Oinj__on'( X, W, T, U ) ) ] )
% 2.42/2.79 , clause( 20309, [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T
% 2.42/2.79 ), 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 2.42/2.79 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 2.42/2.79 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20310, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ) ), ~( 'c_lessequals'( X, hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'tc_fun'(
% 2.42/2.79 Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20311, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 2.42/2.79 , 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 2.42/2.79 , 'tc_bool' ) ) ) ), 'c_lessequals'( X, hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'tc_fun'(
% 2.42/2.79 Z, 'tc_bool' ) ) ] )
% 2.42/2.79 , clause( 20312, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ] )
% 2.42/2.79 , clause( 20313, [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'tc_fun'(
% 2.42/2.79 Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20314, [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'(
% 2.42/2.79 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20315, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 2.42/2.79 , T, X ) ) ), =( Z, T ) ] )
% 2.42/2.79 , clause( 20316, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 2.42/2.79 , T, X ) ) ), =( Y, Z ) ] )
% 2.42/2.79 , clause( 20317, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 2.42/2.79 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ] )
% 2.42/2.79 , clause( 20318, [ =( 'c_HOL_Ominus__class_Ominus'(
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 2.42/2.79 Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20319, [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ] )
% 2.42/2.79 , clause( 20320, [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP(
% 2.42/2.79 hAPP( X, W ), U ) ) ] )
% 2.42/2.79 , clause( 20321, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 2.42/2.79 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 2.42/2.79 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ] )
% 2.42/2.79 , clause( 20322, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 2.42/2.79 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ] )
% 2.42/2.79 , clause( 20323, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 2.42/2.79 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), =( Y, T ) ] )
% 2.42/2.79 , clause( 20324, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 2.42/2.79 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), =( Y, T ) ] )
% 2.42/2.79 , clause( 20325, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1'( Y, Z, X ) ) ),
% 2.42/2.79 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_Complete__Lattice_OSup__class_OSup'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 2.42/2.79 ) ] )
% 2.42/2.79 , clause( 20326, [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U )
% 2.42/2.79 , hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( X, Y ) ), 'c_Set_Oimage'( X,
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 2.42/2.79 T, 'tc_bool' ) ), T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, Z, T, U ) ) ] )
% 2.42/2.79 , clause( 20327, [ ~( 'class_Orderings_Oorder'( X ) ),
% 2.42/2.79 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 2.42/2.79 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 2.42/2.79 , clause( 20328, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 2.42/2.79 ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 2.42/2.79 ~( 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20329, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 2.42/2.79 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 2.42/2.79 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 2.42/2.79 , clause( 20330, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 2.42/2.79 , Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'c_Collect'( X, Z
% 2.42/2.79 ), 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ] )
% 2.42/2.79 , clause( 20331, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 2.42/2.79 , 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 2.42/2.79 , 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), X ) ] )
% 2.42/2.79 , clause( 20332, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ),
% 2.42/2.79 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), Z ) ) ) ) ] )
% 2.42/2.79 , clause( 20333, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_Complete__Lattice_OInf__class_OInf'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 2.42/2.79 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1'( Y, Z, X ) ) ) ) ]
% 2.42/2.79 )
% 2.42/2.79 , clause( 20334, [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 2.42/2.79 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 2.42/2.79 'tc_bool' ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), T ) ) ) ]
% 2.42/2.79 )
% 2.42/2.79 , clause( 20335, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 2.42/2.79 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ] )
% 2.42/2.79 , clause( 20336, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y,
% 2.42/2.79 Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T,
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T )
% 2.42/2.79 ) ) ] )
% 2.42/2.79 , clause( 20337, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 2.42/2.79 Z, Y ) ) ) ) ] )
% 2.42/2.79 , clause( 20338, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 2.42/2.79 Y, X ) ) ) ) ] )
% 2.42/2.79 , clause( 20339, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 2.42/2.79 X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 2.42/2.79 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ), hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( Z ), Y ), T ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'(
% 2.42/2.79 Y, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20340, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T )
% 2.42/2.79 , 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X )
% 2.42/2.79 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 2.42/2.79 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 2.42/2.79 ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ] )
% 2.42/2.79 , clause( 20341, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 2.42/2.79 , clause( 20342, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 2.42/2.79 , clause( 20343, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), 'tc_fun'(
% 2.42/2.79 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 2.42/2.79 ) ) ) ] )
% 2.42/2.79 , clause( 20344, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y,
% 2.42/2.79 'tc_fun'( X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20345, [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 2.42/2.79 , 'tc_fun'( T, 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) )
% 2.42/2.79 ] )
% 2.42/2.79 , clause( 20346, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ), 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20347, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 2.42/2.79 =( 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, Z, X ), X
% 2.42/2.79 ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.42/2.79 'c_Complete__Lattice_OInf__class_OInf'( Z, X ), X ) ) ] )
% 2.42/2.79 , clause( 20348, [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 2.42/2.79 Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'(
% 2.42/2.79 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 2.42/2.79 , 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20349, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T )
% 2.42/2.79 , 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X )
% 2.42/2.79 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 2.42/2.79 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 2.42/2.79 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 2.42/2.79 ] )
% 2.42/2.79 , clause( 20350, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~(
% 2.42/2.79 'c_Typedef_Otype__definition'( X, T, U, W, V0 ) ), =( Y, Z ) ] )
% 2.42/2.79 , clause( 20351, [ =( 'c_Collect'( X, Y ), X ) ] )
% 2.42/2.79 , clause( 20352, [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 2.42/2.79 Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 2.42/2.79 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20353, [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 2.42/2.79 Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 2.42/2.79 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20354, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ] )
% 2.42/2.79 , clause( 20355, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z
% 2.42/2.79 , 'c_Set_Oinsert'( hAPP( Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 2.42/2.79 T, 'tc_bool' ) ), T ), X, T ) ) ) ] )
% 2.42/2.79 , clause( 20356, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.79 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), Z ) ) ] )
% 2.42/2.79 , clause( 20357, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 2.42/2.79 'c_Set_Oinsert'( X, Y, Z ) ) ] )
% 2.42/2.79 , clause( 20358, [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 2.42/2.79 'c_Set_Oinsert'( Z, X, T ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20359, [ ~( =(
% 2.42/2.79 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 2.42/2.79 T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool'
% 2.42/2.79 ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X ) ) ) ] )
% 2.42/2.79 , clause( 20360, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 2.42/2.79 X ) ) ] )
% 2.42/2.79 , clause( 20361, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 2.42/2.79 , clause( 20362, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 2.42/2.79 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 2.42/2.79 ) ) ) ] )
% 2.42/2.79 , clause( 20363, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 2.42/2.79 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 2.42/2.79 ) ] )
% 2.42/2.79 , clause( 20364, [ =( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'(
% 2.42/2.79 'c_List_Osko__Equiv__Relations__XquotientE__1__1'( Z, X, Y, T ),
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, T ) )
% 2.42/2.79 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( T, 'tc_bool' ) ), X ),
% 2.42/2.79 'c_Equiv__Relations_Oquotient'( Z, Y, T ) ) ) ) ] )
% 2.42/2.79 , clause( 20365, [ ~( =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X
% 2.42/2.79 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y )
% 2.42/2.79 , 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 2.42/2.79 ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( Y ), X ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, Z, Y ) ),
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, Y ) ), 'c_Pair'( X, T, Y, Y ) )
% 2.42/2.79 , Z ) ) ] )
% 2.42/2.79 , clause( 20366, [ =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 2.42/2.79 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 2.42/2.79 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, Y ) ), 'c_Pair'( X, T, Y, Y
% 2.42/2.79 ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), U ) ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( Y ), X ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U
% 2.42/2.79 , Z, Y ) ) ] )
% 2.42/2.79 , clause( 20367, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.79 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ), T, U ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z
% 2.42/2.79 , Y, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 2.42/2.79 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 2.42/2.79 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ] )
% 2.42/2.79 , clause( 20368, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.79 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ), T, U ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z
% 2.42/2.79 , Y, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ), ~(
% 2.42/2.79 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ),
% 2.42/2.79 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 2.42/2.79 'tc_fun'( T, 'tc_bool' ) ), T, U ) ] )
% 2.42/2.79 , clause( 20369, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 2.42/2.79 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ) )
% 2.42/2.79 , 'c_Equiv__Relations_Oquotient'( T, Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( X ), Z ), T ) ) ) ] )
% 2.42/2.79 , clause( 20370, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T )
% 2.42/2.79 , 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 2.42/2.79 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( T ), Y ), Z ) ) ] )
% 2.42/2.79 , clause( 20371, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~(
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Z ), 'c_Equiv__Relations_Oquotient'(
% 2.42/2.79 U, W, X ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) )
% 2.42/2.79 , Z ), 'c_Equiv__Relations_Oquotient'( U, W, X ) ) ) ), ~(
% 2.42/2.79 'c_Equiv__Relations_Oequiv'( U, W, X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 2.42/2.79 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), W ) ) ] )
% 2.42/2.79 , clause( 20372, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z
% 2.42/2.79 ) ), 'c_Pair'( T, U, Z, Z ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z
% 2.42/2.79 ), U ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), X ) ) ), ~(
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, 'tc_bool' ) ), Y ),
% 2.42/2.79 'c_Equiv__Relations_Oquotient'( V0, W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_fun'( Z, 'tc_bool' ) ), X ), 'c_Equiv__Relations_Oquotient'(
% 2.42/2.79 V0, W, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( V0, W, Z ) ) ] )
% 2.42/2.79 , clause( 20373, [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W
% 2.42/2.79 , T, U ), 'c_Set_Oinsert'( Z, 'c_Set_Oimage'( X,
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( W, 'c_Set_Oinsert'( Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 2.42/2.79 T, 'tc_bool' ) ), T, U ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ),
% 2.42/2.79 W ) ) ) ] )
% 2.42/2.79 , clause( 20374, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'(
% 2.42/2.79 Z, T, X, Y ) ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ),
% 2.42/2.79 'c_Relation_OImage'( U, 'c_Set_Oinsert'( Z,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, Y ) )
% 2.42/2.79 ) ) ] )
% 2.42/2.79 , clause( 20375, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'(
% 2.42/2.79 Z, 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 2.42/2.79 'tc_bool' ) ), U ), U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 U, X ) ), 'c_Pair'( T, Y, U, X ) ), Z ) ) ) ] )
% 2.42/2.79 , clause( 20376, [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U,
% 2.42/2.79 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, T
% 2.42/2.79 ) ), X ), 'c_FuncSet_OPi'( Y, 'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z
% 2.42/2.79 ), Z, T ) ) ) ) ] )
% 2.42/2.79 , clause( 20377, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ),
% 2.42/2.79 'c_FuncSet_OPi'( T, 'c_COMBK'( U, 'tc_fun'( Y, 'tc_bool' ), X ), X, Y ) )
% 2.42/2.79 ), hBOOL( hAPP( hAPP( 'c_in'( X ),
% 2.42/2.79 'c_FuncSet_Osko__FuncSet__XfuncsetI__1__1'( T, U, Z, X, Y ) ), T ) ) ] )
% 2.42/2.79 , clause( 20378, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ),
% 2.42/2.79 'c_FuncSet_OPi'( T, 'c_COMBK'( U, 'tc_fun'( Y, 'tc_bool' ), X ), X, Y ) )
% 2.42/2.79 ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), hAPP( Z,
% 2.42/2.79 'c_FuncSet_Osko__FuncSet__XfuncsetI__1__1'( T, U, Z, X, Y ) ) ), U ) ) )
% 2.42/2.79 ] )
% 2.42/2.79 , clause( 20379, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ) ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), Y ), 'c_Equiv__Relations_Oquotient'( T, U, Z ) ) ) ), ~(
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, 'tc_bool' ) ), X ),
% 2.42/2.79 'c_Equiv__Relations_Oquotient'( T, U, Z ) ) ) ), ~(
% 2.42/2.79 'c_Equiv__Relations_Oequiv'( T, U, Z ) ) ] )
% 2.42/2.79 , clause( 20380, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T )
% 2.42/2.79 , 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 2.42/2.79 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 2.42/2.79 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20381, [ =( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Collect'( hAPP(
% 2.42/2.79 'c_COMBC'( 'c_COMBB'( 'c_in'( T ), X, T, 'tc_fun'( 'tc_fun'( T, 'tc_bool'
% 2.42/2.79 ), 'tc_bool' ), Z ), Z, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), Y ), Z )
% 2.42/2.79 ) ] )
% 2.42/2.79 , clause( 20382, [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ), Y ), 'c_Collect'( 'c_COMBB'( 'c_Not', hAPP( 'c_COMBC'(
% 2.42/2.79 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Y ), 'tc_bool',
% 2.42/2.79 'tc_bool', X ), X ) ) ] )
% 2.42/2.79 , clause( 20383, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.79 'c_Complete__Lattice_OSup__class_OSup'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z
% 2.42/2.79 , 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 2.42/2.79 , 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Y, 'tc_bool' ) )
% 2.42/2.79 , 'c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1'( Z, X,
% 2.42/2.79 Y ) ), X ) ) ] )
% 2.42/2.79 , clause( 20384, [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T )
% 2.42/2.79 , U ), W, V0 ), ~( 'c_Nitpick_Ofold__graph_H'( X, Y,
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 'tc_bool' ) ), W ), 'tc_fun'(
% 2.42/2.79 W, 'tc_bool' ) ), U, W, V0 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( W ), T ), Z
% 2.42/2.79 ) ) ) ] )
% 2.42/2.79 , clause( 20385, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X,
% 2.42/2.79 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 2.42/2.79 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ), ~( 'c_lessequals'(
% 2.42/2.79 X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20386, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 2.42/2.79 T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~(
% 2.42/2.79 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 2.42/2.79 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20387, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 2.42/2.79 T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~(
% 2.42/2.79 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 2.42/2.79 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20388, [ =( 'c_Finite__Set_Osetsum'( X,
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 2.42/2.79 T, 'tc_bool' ) ), T, 'tc_nat' ), 'c_Finite__Set_Osetsum'( X, Y, T,
% 2.42/2.79 'tc_nat' ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), Y ) ) ] )
% 2.42/2.79 , clause( 20389, [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T
% 2.42/2.79 ), U ), W, V0 ), ~( hBOOL( hAPP( hAPP( 'c_in'( W ), T ), Z ) ) ), ~(
% 2.42/2.79 'c_Finite__Set_Ofold__graph'( X, Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 2.42/2.79 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 2.42/2.79 'tc_bool' ) ), W ), 'tc_fun'( W, 'tc_bool' ) ), U, W, V0 ) ) ] )
% 2.42/2.79 , clause( 20390, [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'(
% 2.42/2.79 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ] )
% 2.42/2.79 , clause( 20391, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.79 Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20392, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 2.42/2.79 , clause( 20393, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 2.42/2.79 , clause( 20394, [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y,
% 2.42/2.79 'c_COMBC'( Z, T, T, 'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0,
% 2.42/2.79 V1, V2, T ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0
% 2.42/2.79 , W, V2, V1, T ) ) ] )
% 2.42/2.79 , clause( 20395, [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 2.42/2.79 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 2.42/2.79 Y, Z ) ) ] )
% 2.42/2.79 , clause( 20396, [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 2.42/2.79 'tc_fun'( Y, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X
% 2.42/2.79 , Z ) ] )
% 2.42/2.79 , clause( 20397, [ =( X, Y ), =( X, Y ), hBOOL( hAPP( hAPP( 'c_in'(
% 2.42/2.79 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Arrow__Order__Mirabelle_Omktop'( Z, Y ) ) ) ] )
% 2.42/2.79 , clause( 20398, [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20399, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( Z ), X ), Y ) ) ] )
% 2.42/2.79 , clause( 20400, [ =( 'c_Set_Ovimage'( X, hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), T, Y ),
% 2.42/2.79 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( T, 'tc_bool' ) ),
% 2.42/2.79 'c_Set_Ovimage'( X, Z, T, Y ) ) ) ] )
% 2.42/2.79 , clause( 20401, [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 2.42/2.79 X, 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool'
% 2.42/2.79 ) ), Y ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' )
% 2.42/2.79 ) ) ] )
% 2.42/2.79 , clause( 20402, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 2.42/2.79 =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z
% 2.42/2.79 , X, T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T
% 2.42/2.79 , 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20403, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL(
% 2.42/2.79 hAPP( Y, T ) ) ) ] )
% 2.42/2.79 , clause( 20404, [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z,
% 2.42/2.79 T, U ), U ), 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 2.42/2.79 T ), Y ), Z ) ) ) ] )
% 2.42/2.79 , clause( 20405, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 2.42/2.79 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ] )
% 2.42/2.79 , clause( 20406, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.79 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ] )
% 2.42/2.79 , clause( 20407, [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 2.42/2.79 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20408, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( X, T ), ~( hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Arrow__Order__Mirabelle_Omkbot'( Z, T ) ) ) ) ] )
% 2.42/2.79 , clause( 20409, [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ), 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'(
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), Z, X ) ) ] )
% 2.42/2.79 , clause( 20410, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 2.42/2.79 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 2.42/2.79 ) ) ) ] )
% 2.42/2.79 , clause( 20411, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 2.42/2.79 =( 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 2.42/2.79 ] )
% 2.42/2.79 , clause( 20412, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'c_Collect'( T, X ),
% 2.42/2.79 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 2.42/2.79 , clause( 20413, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ),
% 2.42/2.79 'c_Set_Oimage'( Y, 'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Z,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 2.42/2.79 U, 'tc_bool' ) ), U, X ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, 'c_Set_Oinsert'(
% 2.42/2.79 Z, T, U ), U, X ) ) ] )
% 2.42/2.79 , clause( 20414, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.79 'c_Complete__Lattice_OSup__class_OSup'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z
% 2.42/2.79 , 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 2.42/2.79 , 'tc_bool' ) ) ) ), =( 'c_Lattices_Olower__semilattice__class_Oinf'( T,
% 2.42/2.79 Z, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 2.42/2.79 Y, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Y, 'tc_bool'
% 2.42/2.79 ) ), T ), X ) ) ) ] )
% 2.42/2.79 , clause( 20415, [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), 'tc_fun'(
% 2.42/2.79 Y, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 2.42/2.79 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20416, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y,
% 2.42/2.79 Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ] )
% 2.42/2.79 , clause( 20417, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20418, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20419, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y,
% 2.42/2.79 Z ), 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( Z ), X ), Y ) ) ] )
% 2.42/2.79 , clause( 20420, [ =( 'c_Fun_Ooverride__on'( X, Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), X ) ]
% 2.42/2.79 )
% 2.42/2.79 , clause( 20421, [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ), Y ) ), Y ) ] )
% 2.42/2.79 , clause( 20422, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 2.42/2.79 X ), Y ) ), Y ) ] )
% 2.42/2.79 , clause( 20423, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 2.42/2.79 X ), Y ) ), Y ) ] )
% 2.42/2.79 , clause( 20424, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 2.42/2.79 X ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20425, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 2.42/2.79 X ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20426, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 2.42/2.79 X ), Y ) ), Y ) ] )
% 2.42/2.79 , clause( 20427, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 2.42/2.79 X ) ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 2.42/2.79 , clause( 20428, [ =( 'c_Set_Ovimage'( X,
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ), U, T ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.79 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 2.42/2.79 , 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20429, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 2.42/2.79 =( 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 2.42/2.79 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ), X ), X ), X ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 2.42/2.79 , clause( 20430, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.42/2.79 , 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 2.42/2.79 , Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ] )
% 2.42/2.79 , clause( 20431, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.42/2.79 , 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 2.42/2.79 , Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ] )
% 2.42/2.79 , clause( 20432, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.42/2.79 , 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y
% 2.42/2.79 ), Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ] )
% 2.42/2.79 , clause( 20433, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.42/2.79 , 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y
% 2.42/2.79 ), Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ] )
% 2.42/2.79 , clause( 20434, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 2.42/2.79 Y, Z, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), Y ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Z, T ) ]
% 2.42/2.79 )
% 2.42/2.79 , clause( 20435, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), =( X, T ), ~(
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, T ),
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, Y, T ) ) ) ] )
% 2.42/2.79 , clause( 20436, [ =( X, Y ), =( X, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 2.42/2.79 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), T ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, Y ), hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Z,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Arrow__Order__Mirabelle_Oabove'( T, X, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Z,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , T ) ) ) ] )
% 2.42/2.79 , clause( 20437, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( Y, T ), =( X, T ), ~(
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, U, T ) ) ) ), ~( hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( U, T ) ] )
% 2.42/2.79 , clause( 20438, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 2.42/2.79 Z, T, Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, Y ),
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , Z ) ), =( X, T ) ] )
% 2.42/2.79 , clause( 20439, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 2.42/2.79 Z, T, X ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, X ),
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , Z ) ) ] )
% 2.42/2.79 , clause( 20440, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, X,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , Z ) ) ), =( T, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, X ),
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, X ) ) ) ] )
% 2.42/2.79 , clause( 20441, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, Y ), hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , Z ) ) ) ] )
% 2.42/2.79 , clause( 20442, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 2.42/2.79 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), ~( hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, U,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , Z ) ) ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ]
% 2.42/2.79 )
% 2.42/2.79 , clause( 20443, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 2.42/2.79 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( U, Y,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , Z ) ) ), =( Y, T ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 2.42/2.79 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ] )
% 2.42/2.79 , clause( 20444, [ =( X, Y ), =( Y, X ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 2.42/2.79 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, X ), hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, Y, X ) ) ) ] )
% 2.42/2.79 , clause( 20445, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 2.42/2.79 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( T, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ] )
% 2.42/2.79 , clause( 20446, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, Y ), hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, Y ) ) ) ] )
% 2.42/2.79 , clause( 20447, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( T, Y ), ~( hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, T ), hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, T ) ) ) ] )
% 2.42/2.79 , clause( 20448, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 2.42/2.79 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, U ), =( X, U ), =(
% 2.42/2.79 X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ]
% 2.42/2.79 )
% 2.42/2.79 , clause( 20449, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 2.42/2.79 Y, Z, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), Y ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Z, T ) ]
% 2.42/2.79 )
% 2.42/2.79 , clause( 20450, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, T ), =( T, Y ), ~(
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, X ),
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, X ) ) ) ] )
% 2.42/2.79 , clause( 20451, [ =( X, Y ), =( Z, X ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 2.42/2.79 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), T ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, X ), hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Z, X,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Arrow__Order__Mirabelle_Obelow'( T, Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Z, X,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , T ) ) ) ] )
% 2.42/2.79 , clause( 20452, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( X, T ), =( Y, T ), ~(
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, U ) ) ) ), ~( hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ] )
% 2.42/2.79 , clause( 20453, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 2.42/2.79 Z, Y, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, T ),
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, X,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , Z ) ), =( X, T ) ] )
% 2.42/2.79 , clause( 20454, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 2.42/2.79 Z, Y, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, T ),
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , Z ) ) ] )
% 2.42/2.79 , clause( 20455, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, T,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , Z ) ) ), =( X, T ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, T ),
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, Y, T ) ) ) ] )
% 2.42/2.79 , clause( 20456, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, T ), hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , Z ) ) ) ] )
% 2.42/2.79 , clause( 20457, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 2.42/2.79 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, U ), ~( hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , Z ) ) ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ]
% 2.42/2.79 )
% 2.42/2.79 , clause( 20458, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 2.42/2.79 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , Z ) ) ), =( X, U ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 2.42/2.79 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ] )
% 2.42/2.79 , clause( 20459, [ =( X, Y ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 2.42/2.79 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, Y ), hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, Y ) ) ) ] )
% 2.42/2.79 , clause( 20460, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 2.42/2.79 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( U, Y,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ] )
% 2.42/2.79 , clause( 20461, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, Y ), hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, X, Y ) ) ) ] )
% 2.42/2.79 , clause( 20462, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), ~( hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, Y ), hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, Y ) ) ) ] )
% 2.42/2.79 , clause( 20463, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 2.42/2.79 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), =( Y, T ), =(
% 2.42/2.79 X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ]
% 2.42/2.79 )
% 2.42/2.79 , clause( 20464, [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'(
% 2.42/2.79 Y, X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL(
% 2.42/2.79 hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20465, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ] )
% 2.42/2.79 , clause( 20466, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ] )
% 2.42/2.79 , clause( 20467, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 2.42/2.79 , Y ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 2.42/2.79 , Z ) ), T ) ), ~( hBOOL( hAPP( U,
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 2.42/2.79 , Z ) ) ) ) ] )
% 2.42/2.79 , clause( 20468, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 2.42/2.79 , Y ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 2.42/2.79 , Z ) ), T ) ), ~( hBOOL( hAPP( X,
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 2.42/2.79 , Z ) ) ) ) ] )
% 2.42/2.79 , clause( 20469, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 2.42/2.79 , Y ), T ) ) ), ~( hBOOL( hAPP( X,
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 2.42/2.79 , Z ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 2.42/2.79 , Z ) ), T ) ) ] )
% 2.42/2.79 , clause( 20470, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 2.42/2.79 , Y ), T ) ) ), ~( hBOOL( hAPP( U,
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 2.42/2.79 , Z ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 2.42/2.79 , Z ) ), T ) ) ] )
% 2.42/2.79 , clause( 20471, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_SetInterval_Oord_OatLeastLessThan'( Z, T, U, W, X ) ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( T, Y ), W ) ) ), ~( hBOOL( hAPP( hAPP( Z, U ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20472, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z
% 2.42/2.79 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ] )
% 2.42/2.79 , clause( 20473, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z
% 2.42/2.79 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ] )
% 2.42/2.79 , clause( 20474, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_SetInterval_Oord_OatLeastAtMost'( Z, T, U, X ) ) ), ~( hBOOL( hAPP(
% 2.42/2.79 hAPP( Z, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20475, [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 2.42/2.79 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( Z, T ) ) ) ] )
% 2.42/2.79 , clause( 20476, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 2.42/2.79 , clause( 20477, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 2.42/2.79 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ]
% 2.42/2.79 )
% 2.42/2.79 , clause( 20478, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 2.42/2.79 , clause( 20479, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 2.42/2.79 , clause( 20480, [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ),
% 2.42/2.79 ~( 'c_Typedef_Otype__definition'( Y, U, T, W, X ) ) ] )
% 2.42/2.79 , clause( 20481, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_SetInterval_Oord_OgreaterThanLessThan'( Z, T, U, X ) ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( Z, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20482, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ),
% 2.42/2.79 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) )
% 2.42/2.79 ] )
% 2.42/2.79 , clause( 20483, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_SetInterval_Oord_OgreaterThanAtMost'( Z, T, U, W, X ) ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( Z, Y ), W ) ) ), ~( hBOOL( hAPP( hAPP( T, U ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20484, [ =( hAPP( 'c_Fun_Ooverride__on'( X, Y, Z, T, U ), W ),
% 2.42/2.79 hAPP( Y, W ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), W ), Z ) ) ) ] )
% 2.42/2.79 , clause( 20485, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~(
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( T, Z,
% 2.42/2.79 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 2.42/2.79 , clause( 20486, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T,
% 2.42/2.79 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 2.42/2.79 , clause( 20487, [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 2.42/2.79 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( Z, U ) ) ), ~(
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( X ), U ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20488, [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexI__1__1'(
% 2.42/2.79 Y, X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL(
% 2.42/2.79 hAPP( X, T ) ) ) ] )
% 2.42/2.79 , clause( 20489, [ =( hAPP( X, hAPP( Y, Z ) ), Z ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( T ), Z ), U ) ) ), ~( 'c_Typedef_Otype__definition'( X, Y, U, W,
% 2.42/2.79 T ) ) ] )
% 2.42/2.79 , clause( 20490, [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 2.42/2.79 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 2.42/2.79 , X, V0, V1, V2, U, V3, V4, T ) ) ] )
% 2.42/2.79 , clause( 20491, [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 2.42/2.79 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 2.42/2.79 , W, V0, V1, U, V2, V3, V4, T ) ) ] )
% 2.42/2.79 , clause( 20492, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 2.42/2.79 =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 2.42/2.79 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 2.42/2.79 )
% 2.42/2.79 , clause( 20493, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 2.42/2.79 'tc_bool' ) ), X ) ] )
% 2.42/2.79 , clause( 20494, [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y,
% 2.42/2.79 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 2.42/2.79 ) ] )
% 2.42/2.79 , clause( 20495, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 2.42/2.79 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20496, [ =( X, Y ), =( Y, X ), hBOOL( hAPP( hAPP( 'c_in'(
% 2.42/2.79 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Arrow__Order__Mirabelle_Omkbot'( Z, X ) ) ) ] )
% 2.42/2.79 , clause( 20497, [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y
% 2.42/2.79 , Z ), Z, Y ), X ) ] )
% 2.42/2.79 , clause( 20498, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 2.42/2.79 , clause( 20499, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 2.42/2.79 , clause( 20500, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 2.42/2.79 , clause( 20501, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 2.42/2.79 , clause( 20502, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20503, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20504, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y,
% 2.42/2.79 Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ),
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( T ), U ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20505, [ =( 'c_HOL_Ominus__class_Ominus'(
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 2.42/2.79 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 2.42/2.79 ) ) ) ] )
% 2.42/2.79 , clause( 20506, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.42/2.79 , 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y
% 2.42/2.79 ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~(
% 2.42/2.79 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 2.42/2.79 , clause( 20507, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.42/2.79 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.42/2.79 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ] )
% 2.42/2.79 , clause( 20508, [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 2.42/2.79 X, 'tc_bool' ) ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20509, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 2.42/2.79 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 2.42/2.79 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20510, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20511, [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 2.42/2.79 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 2.42/2.79 'tc_bool' ) ), Y ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20512, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 2.42/2.79 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~(
% 2.42/2.79 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20513, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T )
% 2.42/2.79 , 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z )
% 2.42/2.79 ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 2.42/2.79 )
% 2.42/2.79 , clause( 20514, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~(
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( =(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 2.42/2.79 ) ) ] )
% 2.42/2.79 , clause( 20515, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 2.42/2.79 'c_Set_OPow'( Y, X ) ) ) ] )
% 2.42/2.79 , clause( 20516, [ =( 'c_HOL_Ominus__class_Ominus'(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20517, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y,
% 2.42/2.79 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20518, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 2.42/2.79 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 2.42/2.79 , clause( 20519, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 2.42/2.79 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 2.42/2.79 , clause( 20520, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 2.42/2.79 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 2.42/2.79 , clause( 20521, [ ~( =( hAPP( X,
% 2.42/2.79 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'( Y, X, Z, T, U ) ),
% 2.42/2.79 hAPP( Z, 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'( Y, X, Z, T, U
% 2.42/2.79 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( T, U ) ), Z ),
% 2.42/2.79 'c_FuncSet_Oextensional'( Y, T, U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 2.42/2.79 'tc_fun'( T, U ) ), X ), 'c_FuncSet_Oextensional'( Y, T, U ) ) ) ), =( X
% 2.42/2.79 , Z ) ] )
% 2.42/2.79 , clause( 20522, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ] )
% 2.42/2.79 , clause( 20523, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ] )
% 2.42/2.79 , clause( 20524, [ ~( =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X
% 2.42/2.79 , 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ), Z ) ) ), =( Y, Z ) ] )
% 2.42/2.79 , clause( 20525, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Arrow__Order__Mirabelle_Omktop'( Z, T ) ) ) ) ] )
% 2.42/2.79 , clause( 20526, [ ~( =( 'c_Collect'( X, Y ),
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), ~( hBOOL(
% 2.42/2.79 hAPP( X, Z ) ) ) ] )
% 2.42/2.79 , clause( 20527, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 2.42/2.79 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 2.42/2.79 ), =( Z, Y ) ] )
% 2.42/2.79 , clause( 20528, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 2.42/2.79 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 2.42/2.79 ) ] )
% 2.42/2.79 , clause( 20529, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 2.42/2.79 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 2.42/2.79 ), =( Z, Y ) ] )
% 2.42/2.79 , clause( 20530, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 2.42/2.79 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 2.42/2.79 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 2.42/2.79 , clause( 20531, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 2.42/2.79 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 2.42/2.79 ) ] )
% 2.42/2.79 , clause( 20532, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 2.42/2.79 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.79 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 2.42/2.79 , clause( 20533, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 2.42/2.79 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.79 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 2.42/2.79 , clause( 20534, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 2.42/2.79 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ] )
% 2.42/2.79 , clause( 20535, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 2.42/2.79 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ] )
% 2.42/2.79 , clause( 20536, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 2.42/2.79 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 2.42/2.79 , clause( 20537, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 2.42/2.79 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ] )
% 2.42/2.79 , clause( 20538, [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( Y ), X ), T ) ) ] )
% 2.42/2.79 , clause( 20539, [ =( hAPP( X, hAPP( Y, Z ) ), Z ), ~(
% 2.42/2.79 'c_Typedef_Otype__definition'( Y, X, T, U, W ) ) ] )
% 2.42/2.79 , clause( 20540, [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U
% 2.42/2.79 , Y ), hAPP( X, Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W,
% 2.42/2.79 X, V0, V1, V2, U, V3, V4, T ) ) ] )
% 2.42/2.79 , clause( 20541, [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U
% 2.42/2.79 , Y ), hAPP( X, Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X,
% 2.42/2.79 W, V0, V1, U, V2, V3, V4, T ) ) ] )
% 2.42/2.79 , clause( 20542, [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'( Y, Z, T, U, X )
% 2.42/2.79 ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, U,
% 2.42/2.79 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, W ) ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( X ), W ), hAPP( Z, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( U ), V0 ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20543, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ] )
% 2.42/2.79 , clause( 20544, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 2.42/2.79 Z, X ) ) ) ) ] )
% 2.42/2.79 , clause( 20545, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 2.42/2.79 Y, X ) ) ) ) ] )
% 2.42/2.79 , clause( 20546, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.42/2.79 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 2.42/2.79 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X )
% 2.42/2.79 , T ) ) ) ] )
% 2.42/2.79 , clause( 20547, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 2.42/2.79 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'(
% 2.42/2.79 Y, 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 2.42/2.79 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ) ]
% 2.42/2.79 )
% 2.42/2.79 , clause( 20548, [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U )
% 2.42/2.79 , 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ] )
% 2.42/2.79 , clause( 20549, [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T )
% 2.42/2.79 , Y ), 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Z,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), T, U ) )
% 2.42/2.79 ) ) ] )
% 2.42/2.79 , clause( 20550, [ =( 'c_Set_Oinsert'( X,
% 2.42/2.79 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 2.42/2.79 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ] )
% 2.42/2.79 , clause( 20551, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ), 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ] )
% 2.42/2.79 , clause( 20552, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ] )
% 2.42/2.79 , clause( 20553, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 2.42/2.79 , clause( 20554, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 2.42/2.79 , clause( 20555, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20556, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'(
% 2.42/2.79 Z, T, X, Y ) ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, X ) )
% 2.42/2.79 , 'c_Pair'( T, Z, Y, X ) ), 'c_Relation_Oconverse'( U, X, Y ) ) ) ) ] )
% 2.42/2.79 , clause( 20557, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'(
% 2.42/2.79 Z, T, X, Y ) ), 'c_Relation_Oconverse'( U, Y, X ) ) ), ~( hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( 'tc_prod'( Y, X ) ), 'c_Pair'( T, Z, Y, X ) ), U ) ) ) ] )
% 2.42/2.79 , clause( 20558, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'(
% 2.42/2.79 Z, T, X, Y ) ), 'c_Relation_Oconverse'( U, Y, X ) ) ), ~( hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( 'tc_prod'( Y, X ) ), 'c_Pair'( T, Z, Y, X ) ), U ) ) ) ] )
% 2.42/2.79 , clause( 20559, [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 2.42/2.79 , 'tc_bool' ) ) ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X
% 2.42/2.79 , U, W, V0, V1, Z, V2, Y ) ) ] )
% 2.42/2.79 , clause( 20560, [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 2.42/2.79 , 'tc_bool' ) ) ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T
% 2.42/2.79 , U, W, V0, V1, V2, Z, Y ) ) ] )
% 2.42/2.79 , clause( 20561, [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 2.42/2.79 X, 'c_COMBK'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 2.42/2.79 , 'tc_fun'( Y, 'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20562, [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 2.42/2.79 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( Z ), X ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20563, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ] )
% 2.42/2.79 , clause( 20564, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X,
% 2.42/2.79 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 2.42/2.79 , clause( 20565, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 2.42/2.79 =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 2.42/2.79 ] )
% 2.42/2.79 , clause( 20566, [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ),
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20567, [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X,
% 2.42/2.79 'tc_bool' ), Y ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 2.42/2.79 'tc_fun'( X, 'tc_bool' ) ), X ) ) ] )
% 2.42/2.79 , clause( 20568, [ =( 'c_HOL_Ominus__class_Ominus'(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 2.42/2.79 Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20569, [ =( hAPP( X, 'c_Set_Oinsert'( Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ),
% 2.42/2.79 ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3,
% 2.42/2.79 Z ) ) ] )
% 2.42/2.79 , clause( 20570, [ =( hAPP( X, 'c_Set_Oinsert'( Y,
% 2.42/2.79 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ),
% 2.42/2.79 ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3,
% 2.42/2.79 Z ) ) ] )
% 2.42/2.79 , clause( 20571, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 2.42/2.79 , =( X, U ) ] )
% 2.42/2.79 , clause( 20572, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 2.42/2.79 , =( Y, W ) ] )
% 2.42/2.79 , clause( 20573, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y
% 2.42/2.79 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ]
% 2.42/2.79 )
% 2.42/2.79 , clause( 20574, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'c_Collect'( T, X ),
% 2.42/2.79 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, Y ) ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ] )
% 2.42/2.79 , clause( 20575, [ =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_OPow'(
% 2.42/2.79 X, Y ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 2.42/2.79 , clause( 20576, [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP(
% 2.42/2.79 'c_Set_Ovimage'( Y, X, T, U ), Z ) ) ) ] )
% 2.42/2.79 , clause( 20577, [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~(
% 2.42/2.79 hBOOL( hAPP( Y, hAPP( X, U ) ) ) ) ] )
% 2.42/2.79 , clause( 20578, [ hBOOL( hAPP(
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 2.42/2.79 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL( hAPP( X, T )
% 2.42/2.79 ) ) ] )
% 2.42/2.79 , clause( 20579, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.42/2.79 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( T
% 2.42/2.79 , U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 2.42/2.79 , clause( 20580, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.42/2.79 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y
% 2.42/2.79 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U, X ) ) ] )
% 2.42/2.79 , clause( 20581, [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ),
% 2.42/2.79 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ), X ) ) ] )
% 2.42/2.79 , clause( 20582, [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'(
% 2.42/2.79 'tc_fun'( Y, 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'(
% 2.42/2.79 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20583, [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_in'( X ), X,
% 2.42/2.79 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Y ), X ), Y ) ] )
% 2.42/2.79 , clause( 20584, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 2.42/2.79 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, T ), =( X, T ) ] )
% 2.42/2.79 , clause( 20585, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 2.42/2.79 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), =( X, T ) ] )
% 2.42/2.79 , clause( 20586, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 2.42/2.79 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 2.42/2.79 Y, X ) ) ] )
% 2.42/2.79 , clause( 20587, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 2.42/2.79 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 2.42/2.79 Y, X ) ) ] )
% 2.42/2.79 , clause( 20588, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 2.42/2.79 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 2.42/2.79 Y, X ) ) ] )
% 2.42/2.79 , clause( 20589, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 2.42/2.79 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 2.42/2.79 Y, X ) ) ] )
% 2.42/2.79 , clause( 20590, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( T ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ),
% 2.42/2.79 U ) ) ), ~( 'c_Typedef_Otype__definition'( W, X, U, V0, T ) ), =( Y, Z )
% 2.42/2.79 ] )
% 2.42/2.79 , clause( 20591, [ =( hAPP( 'c_Fun_Ooverride__on'( X, Y, Z, T, U ), W ),
% 2.42/2.79 hAPP( X, W ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), W ), Z ) ) ] )
% 2.42/2.79 , clause( 20592, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 2.42/2.79 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ),
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ] )
% 2.42/2.79 , clause( 20593, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~(
% 2.42/2.79 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 2.42/2.79 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ) ) ] )
% 2.42/2.79 , clause( 20594, [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexE__1__1'(
% 2.42/2.79 Y, X, Z ) ) ), ~( hBOOL( hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 2.42/2.79 Z ), T ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20595, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( T ), Z ), 'c_SetInterval_Oord_OgreaterThanAtMost'( U, X, Y, W, T
% 2.42/2.79 ) ) ) ) ] )
% 2.42/2.79 , clause( 20596, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( T ), Y ), 'c_SetInterval_Oord_OgreaterThanAtMost'( X, U, W, Z, T
% 2.42/2.79 ) ) ) ) ] )
% 2.42/2.79 , clause( 20597, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 2.42/2.79 , 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 2.42/2.79 , clause( 20598, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y
% 2.42/2.79 , Z, X ) ) ) ] )
% 2.42/2.79 , clause( 20599, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y
% 2.42/2.79 , Z, X ) ) ) ] )
% 2.42/2.79 , clause( 20600, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y
% 2.42/2.79 , Z, X ) ) ) ] )
% 2.42/2.79 , clause( 20601, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 2.42/2.79 , Y ), T ) ) ), ~( hBOOL( hAPP( X,
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 2.42/2.79 , Z ) ) ) ), ~( hBOOL( hAPP( U,
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 2.42/2.79 , Z ) ) ) ) ] )
% 2.42/2.79 , clause( 20602, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 2.42/2.79 , Y ), T ) ) ), ~( hBOOL( hAPP( U,
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 2.42/2.79 , Z ) ) ) ), ~( hBOOL( hAPP( X,
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 2.42/2.79 , Z ) ) ) ) ] )
% 2.42/2.79 , clause( 20603, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 2.42/2.79 , Y ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 2.42/2.79 , Z ) ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 2.42/2.79 , Z ) ), T ) ) ] )
% 2.42/2.79 , clause( 20604, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 2.42/2.79 , Y ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 2.42/2.79 , Z ) ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 2.42/2.79 , Z ) ), T ) ) ] )
% 2.42/2.79 , clause( 20605, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 2.42/2.79 , Y ), T ) ) ), ~( hBOOL( hAPP( X,
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 2.42/2.79 , X, Z ) ) ) ), ~( hBOOL( hAPP( U,
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 2.42/2.79 , X, Z ) ) ) ) ] )
% 2.42/2.79 , clause( 20606, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 2.42/2.79 , Y ), T ) ) ), ~( hBOOL( hAPP( U,
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 2.42/2.79 , U, Z ) ) ) ), ~( hBOOL( hAPP( X,
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 2.42/2.79 , U, Z ) ) ) ) ] )
% 2.42/2.79 , clause( 20607, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL(
% 2.42/2.79 hAPP( T, Y ) ), hBOOL( hAPP( hAPP( 'c_in'( X ),
% 2.42/2.79 'c_ATP__Linkup_Osko__Set__XballE__1__1'( Z, T, X ) ), Z ) ) ] )
% 2.42/2.79 , clause( 20608, [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'(
% 2.42/2.79 Y, X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL(
% 2.42/2.79 hAPP( X, T ) ) ) ] )
% 2.42/2.79 , clause( 20609, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( T ), Z ), 'c_SetInterval_Oord_OgreaterThanLessThan'( X, Y, U, T )
% 2.42/2.79 ) ) ) ] )
% 2.42/2.79 , clause( 20610, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( T ), Y ), 'c_SetInterval_Oord_OgreaterThanLessThan'( X, U, Z, T )
% 2.42/2.79 ) ) ) ] )
% 2.42/2.79 , clause( 20611, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ) ) ) ) ] )
% 2.42/2.79 , clause( 20612, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ) ) ) ) ) ] )
% 2.42/2.79 , clause( 20613, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( T ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ),
% 2.42/2.79 U ) ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ] )
% 2.42/2.79 , clause( 20614, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( T ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ),
% 2.42/2.79 U ) ) ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ] )
% 2.42/2.79 , clause( 20615, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( T ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ),
% 2.42/2.79 U ) ) ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ] )
% 2.42/2.79 , clause( 20616, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~(
% 2.42/2.79 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 2.42/2.79 U ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ] )
% 2.42/2.79 , clause( 20617, [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 2.42/2.79 Z ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) )
% 2.42/2.79 ) ] )
% 2.42/2.79 , clause( 20618, [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X,
% 2.42/2.79 'tc_bool' ), 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'(
% 2.42/2.79 X, 'tc_bool' ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ] )
% 2.42/2.79 , clause( 20619, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Collect'( Z, X )
% 2.42/2.79 ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ] )
% 2.42/2.79 , clause( 20620, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 2.42/2.79 , Y ), 'c_Collect'( X, Z ) ) ) ) ] )
% 2.42/2.79 , clause( 20621, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_SetInterval_Oord_OatMost'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, Y )
% 2.42/2.79 , T ) ) ) ] )
% 2.42/2.79 , clause( 20622, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( T ), Y ), 'c_SetInterval_Oord_OatMost'( X, Z, T ) ) ) ) ] )
% 2.42/2.79 , clause( 20623, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y
% 2.42/2.79 ), Z ) ) ) ] )
% 2.42/2.79 , clause( 20624, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y
% 2.42/2.79 ), Z ) ) ) ] )
% 2.42/2.79 , clause( 20625, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 2.42/2.79 , Y ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 2.42/2.79 , X, Z ) ), T ) ) ] )
% 2.42/2.79 , clause( 20626, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 2.42/2.79 , Y ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 2.42/2.79 , U, Z ) ), T ) ) ] )
% 2.42/2.79 , clause( 20627, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL(
% 2.42/2.79 hAPP( T, Y ) ), ~( hBOOL( hAPP( T,
% 2.42/2.79 'c_ATP__Linkup_Osko__Set__XballE__1__1'( Z, T, X ) ) ) ) ] )
% 2.42/2.79 , clause( 20628, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T
% 2.42/2.79 , Z ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ), hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( Z ), X ), Y ) ), =( Y, T ) ] )
% 2.42/2.79 , clause( 20629, [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 2.42/2.79 'c_ATP__Linkup_Osko__Set__XbexI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( Z, T ) ) ) ] )
% 2.42/2.79 , clause( 20630, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 2.42/2.79 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 2.42/2.79 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ] )
% 2.42/2.79 , clause( 20631, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 2.42/2.79 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 2.42/2.79 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ] )
% 2.42/2.79 , clause( 20632, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_SetInterval_Oord_OgreaterThan'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z
% 2.42/2.79 , T ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20633, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( T ), Z ), 'c_SetInterval_Oord_OgreaterThan'( X, Y, T ) ) ) ) ] )
% 2.42/2.79 , clause( 20634, [ hBOOL( hAPP( X,
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'( Y, Z, X, T, U )
% 2.42/2.79 ) ), ~( hBOOL( hAPP( X, W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W )
% 2.42/2.79 , hAPP( Z, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), V0 ), Y ) ) ) ]
% 2.42/2.79 )
% 2.42/2.79 , clause( 20635, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z
% 2.42/2.79 , T, X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) )
% 2.42/2.79 ) ] )
% 2.42/2.79 , clause( 20636, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z
% 2.42/2.79 , T, X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) )
% 2.42/2.79 ) ] )
% 2.42/2.79 , clause( 20637, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z
% 2.42/2.79 , T, X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) )
% 2.42/2.79 ) ] )
% 2.42/2.79 , clause( 20638, [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ),
% 2.42/2.79 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) )
% 2.42/2.79 ) ] )
% 2.42/2.79 , clause( 20639, [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ),
% 2.42/2.79 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) )
% 2.42/2.79 ) ] )
% 2.42/2.79 , clause( 20640, [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( U ), T ), Z ) ) ), ~(
% 2.42/2.79 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2, V3, V4, U
% 2.42/2.79 ) ) ] )
% 2.42/2.79 , clause( 20641, [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ), ~(
% 2.42/2.79 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2, V3, V4, U
% 2.42/2.79 ) ) ] )
% 2.42/2.79 , clause( 20642, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( T ), Y ), 'c_SetInterval_Oord_OatLeastAtMost'( X, U, Z, T ) ) ) )
% 2.42/2.79 ] )
% 2.42/2.79 , clause( 20643, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( T ), Z ), 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, U, T ) ) ) )
% 2.42/2.79 ] )
% 2.42/2.79 , clause( 20644, [ hBOOL( hAPP( X,
% 2.42/2.79 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T ) ) ), ~( hBOOL(
% 2.42/2.79 hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Z ) ) ) ] )
% 2.42/2.79 , clause( 20645, [ hBOOL( hAPP( X,
% 2.42/2.79 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T ) ) ), ~( hBOOL(
% 2.42/2.79 hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20646, [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 2.42/2.79 'c_ATP__Linkup_Osko__Set__XbexE__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 2.42/2.79 hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20647, [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( Z ), X ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20648, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_SetInterval_Oord_OlessThan'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, Y
% 2.42/2.79 ), T ) ) ) ] )
% 2.42/2.79 , clause( 20649, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( T ), Y ), 'c_SetInterval_Oord_OlessThan'( X, Z, T ) ) ) ) ] )
% 2.42/2.79 , clause( 20650, [ hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 2.42/2.79 T, 'tc_fun'( U, 'tc_bool' ) ) ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 2.42/2.79 Y, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), V1 ), X ) ) )
% 2.42/2.79 ] )
% 2.42/2.79 , clause( 20651, [ hBOOL( hAPP(
% 2.42/2.79 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 2.42/2.79 T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), U ) ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ] )
% 2.42/2.79 , clause( 20652, [ hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 2.42/2.79 T, 'tc_fun'( U, 'tc_bool' ) ) ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 2.42/2.79 Y, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), V1 ), X ) ) )
% 2.42/2.79 ] )
% 2.42/2.79 , clause( 20653, [ hBOOL( hAPP(
% 2.42/2.79 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 2.42/2.79 T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), U ) ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ] )
% 2.42/2.79 , clause( 20654, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( T ), Y ), 'c_SetInterval_Oord_OatLeastLessThan'( U, X, W, Z, T )
% 2.42/2.79 ) ) ) ] )
% 2.42/2.79 , clause( 20655, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( T ), Z ), 'c_SetInterval_Oord_OatLeastLessThan'( X, U, Y, W, T )
% 2.42/2.79 ) ) ) ] )
% 2.42/2.79 , clause( 20656, [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 2.42/2.79 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 2.42/2.79 hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20657, [ hBOOL( hAPP( X,
% 2.42/2.79 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'( Y, X, Z ) ) ), ~( hBOOL(
% 2.42/2.79 hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ) ] )
% 2.42/2.79 , clause( 20658, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) )
% 2.42/2.79 ] )
% 2.42/2.79 , clause( 20659, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) )
% 2.42/2.79 ] )
% 2.42/2.79 , clause( 20660, [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ),
% 2.42/2.79 'c_Set_Oimage'( Y, T, U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z )
% 2.42/2.79 , T ) ) ) ] )
% 2.42/2.79 , clause( 20661, [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ),
% 2.42/2.79 'c_Set_Oimage'( Y, T, U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z )
% 2.42/2.79 , T ) ) ) ] )
% 2.42/2.79 , clause( 20662, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ),
% 2.42/2.79 'c_FuncSet_OPi'( T, U, X, Y ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ),
% 2.42/2.79 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( T, U, Z, X, Y ) ), T ) ) ] )
% 2.42/2.79 , clause( 20663, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ),
% 2.42/2.79 'c_FuncSet_OPi'( T, U, X, Y ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ),
% 2.42/2.79 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( T, U, Z, X, Y ) ), T ) ) ] )
% 2.42/2.79 , clause( 20664, [ =( hAPP( X, Y ), 'c_HOL_Oundefined'( Z ) ), hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( T ), Y ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( T
% 2.42/2.79 , Z ) ), X ), 'c_FuncSet_Oextensional'( U, T, Z ) ) ) ) ] )
% 2.42/2.79 , clause( 20665, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ),
% 2.42/2.79 'c_FuncSet_OPi'( T, U, X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ),
% 2.42/2.79 hAPP( Z, 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( T, U, Z, X, Y ) ) ),
% 2.42/2.79 hAPP( U, 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( T, U, Z, X, Y ) ) ) ) )
% 2.42/2.79 ] )
% 2.42/2.79 , clause( 20666, [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 2.42/2.79 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'( T, X, Y, Z, U ) ), T )
% 2.42/2.79 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, U ) ), Y ),
% 2.42/2.79 'c_FuncSet_Oextensional'( T, Z, U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 2.42/2.79 'tc_fun'( Z, U ) ), X ), 'c_FuncSet_Oextensional'( T, Z, U ) ) ) ) ] )
% 2.42/2.79 , clause( 20667, [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ),
% 2.42/2.79 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_fun'( U, X ) ), Y ), 'c_FuncSet_OPi'( W, 'c_COMBK'( T,
% 2.42/2.79 'tc_fun'( X, 'tc_bool' ), U ), U, X ) ) ) ) ] )
% 2.42/2.79 , clause( 20668, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ),
% 2.42/2.79 'c_FuncSet_OPi'( T, U, X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ),
% 2.42/2.79 hAPP( Z, 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( T, U, Z, X, Y ) ) ),
% 2.42/2.79 hAPP( U, 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( T, U, Z, X, Y ) ) ) )
% 2.42/2.79 ) ] )
% 2.42/2.79 , clause( 20669, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_Complete__Lattice_OInf__class_OInf'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 2.42/2.79 , hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1'( Y, Z, X ) ), Z )
% 2.42/2.79 ) ] )
% 2.42/2.79 , clause( 20670, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 2.42/2.79 'c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1'( Y, Z, X ) ), Z )
% 2.42/2.79 ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_Complete__Lattice_OSup__class_OSup'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 2.42/2.79 ) ] )
% 2.42/2.79 , clause( 20671, [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 2.42/2.79 'c_List_Osko__Equiv__Relations__XquotientE__1__1'( Y, Z, T, X ) ), Y ) )
% 2.42/2.79 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Z ),
% 2.42/2.79 'c_Equiv__Relations_Oquotient'( Y, T, X ) ) ) ) ] )
% 2.42/2.79 , clause( 20672, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 2.42/2.79 ), 'c_Set_OPow'( Y, X ) ) ) ] )
% 2.42/2.79 , clause( 20673, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , Z ) ) ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ] )
% 2.42/2.79 , clause( 20674, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 2.42/2.79 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , Z ) ), =( Y, X ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ] )
% 2.42/2.79 , clause( 20675, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ] )
% 2.42/2.79 , clause( 20676, [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( T
% 2.42/2.79 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( 'tc_fun'( U, X ) ), Y ), 'c_FuncSet_OPi'( W, T, U, X
% 2.42/2.79 ) ) ) ) ] )
% 2.42/2.79 , clause( 20677, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( T ), hAPP( U, Y ) ), hAPP( W, Y ) ) ), ~( hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( 'tc_fun'( X, T ) ), U ), 'c_FuncSet_OPi'( Z, W, X, T ) ) )
% 2.42/2.79 ) ] )
% 2.42/2.79 , clause( 20678, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL(
% 2.42/2.79 hAPP( hAPP( 'c_in'( X ), Y ), 'c_Complete__Lattice_OInf__class_OInf'( T,
% 2.42/2.79 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 2.42/2.79 , clause( 20679, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 2.42/2.79 'c_Complete__Lattice_OSup__class_OSup'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 2.42/2.79 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.42/2.79 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), T ), Z ) ) ) ] )
% 2.42/2.79 , clause( 20680, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Omktop'( X, Y ) ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 2.42/2.79 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ] )
% 2.42/2.79 , clause( 20681, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'( X, Y ) ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 2.42/2.79 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ] )
% 2.42/2.79 , clause( 20682, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Obelow'( X, Y, Z ) ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 2.42/2.79 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, Z ) ] )
% 2.42/2.79 , clause( 20683, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), 'v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1' ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ) ] )
% 2.42/2.79 , clause( 20684, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), X ), 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP(
% 2.42/2.79 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 2.42/2.79 'c_Relation_Oconverse'( X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_OLin' )
% 2.42/2.79 ) ) ] )
% 2.42/2.79 , clause( 20685, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), 'c_Relation_Oconverse'( X,
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 2.42/2.79 , 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 2.42/2.79 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ] )
% 2.42/2.79 , clause( 20686, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Oabove'( X, Y, Z ) ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 2.42/2.79 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, Z ) ] )
% 2.42/2.79 , clause( 20687, [ 'v_thesis____', ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 2.42/2.79 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ] )
% 2.42/2.79 , clause( 20688, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 2.42/2.79 hAPP( Z, Y ) ) ) ] )
% 2.42/2.79 , clause( 20689, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 2.42/2.79 , Y ), X ) ) ) ] )
% 2.42/2.79 , clause( 20690, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.79 'tc_bool' ) ), 'v_sko__CHAINED__1' ), 'c_Arrow__Order__Mirabelle_OLin' )
% 2.42/2.79 ) ] )
% 2.42/2.79 , clause( 20691, [ ~( 'v_thesis____' ) ] )
% 2.42/2.79 , clause( 20692, [ 'v_thesis____', ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 2.42/2.79 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.79 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 2.42/2.79 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ] )
% 2.42/2.79 , clause( 20693, [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'(
% 2.42/2.79 X, Y ) ), ~( 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ] )
% 2.42/2.79 , clause( 20694, [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) )
% 2.42/2.79 , ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 2.42/2.79 , clause( 20695, [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) )
% 2.42/2.79 , ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 2.42/2.79 , clause( 20696, [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ),
% 2.42/2.79 ~( 'class_Lattices_Odistrib__lattice'( Y ) ) ] )
% 2.42/2.79 , clause( 20697, [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ),
% 2.42/2.79 ~( 'class_Lattices_Obounded__lattice'( Y ) ) ] )
% 2.42/2.79 , clause( 20698, [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ),
% 2.42/2.79 ~( 'class_Lattices_Oboolean__algebra'( Y ) ) ] )
% 2.42/2.79 , clause( 20699, [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 2.42/2.79 'class_Orderings_Opreorder'( Y ) ) ] )
% 2.42/2.79 , clause( 20700, [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 2.42/2.79 'class_Lattices_Olattice'( Y ) ) ] )
% 2.42/2.79 , clause( 20701, [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 2.42/2.79 'class_Orderings_Oorder'( Y ) ) ] )
% 2.42/2.79 , clause( 20702, [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~(
% 2.42/2.79 'class_Orderings_Obot'( Y ) ) ] )
% 2.42/2.79 , clause( 20703, [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~(
% 2.42/2.79 'class_HOL_Oord'( Y ) ) ] )
% 2.42/2.79 , clause( 20704, [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ] )
% 2.42/2.79 , clause( 20705, [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ] )
% 2.42/2.79 , clause( 20706, [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ] )
% 2.42/2.79 , clause( 20707, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 2.42/2.79 , clause( 20708, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 2.42/2.79 , clause( 20709, [ 'class_Lattices_Olattice'( 'tc_nat' ) ] )
% 2.42/2.79 , clause( 20710, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 2.42/2.79 , clause( 20711, [ 'class_Orderings_Obot'( 'tc_nat' ) ] )
% 2.42/2.79 , clause( 20712, [ 'class_HOL_Oord'( 'tc_nat' ) ] )
% 2.42/2.79 , clause( 20713, [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool'
% 2.42/2.79 ) ] )
% 2.42/2.79 , clause( 20714, [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ] )
% 2.42/2.82 , clause( 20715, [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ] )
% 2.42/2.82 , clause( 20716, [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ] )
% 2.42/2.82 , clause( 20717, [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ] )
% 2.42/2.82 , clause( 20718, [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ] )
% 2.42/2.82 , clause( 20719, [ 'class_Orderings_Opreorder'( 'tc_bool' ) ] )
% 2.42/2.82 , clause( 20720, [ 'class_Lattices_Olattice'( 'tc_bool' ) ] )
% 2.42/2.82 , clause( 20721, [ 'class_Orderings_Oorder'( 'tc_bool' ) ] )
% 2.42/2.82 , clause( 20722, [ 'class_Orderings_Obot'( 'tc_bool' ) ] )
% 2.42/2.82 , clause( 20723, [ 'class_HOL_Oord'( 'tc_bool' ) ] )
% 2.42/2.82 , clause( 20724, [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ] )
% 2.42/2.82 , clause( 20725, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y
% 2.42/2.82 ) ) ) ] )
% 2.42/2.82 ] ).
% 2.42/2.82
% 2.42/2.82
% 2.42/2.82
% 2.42/2.82 subsumption(
% 2.42/2.82 clause( 551, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.82 'tc_bool' ) ), 'v_sko__CHAINED__1' ), 'c_Arrow__Order__Mirabelle_OLin' )
% 2.42/2.82 ) ] )
% 2.42/2.82 , clause( 20690, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.82 'tc_bool' ) ), 'v_sko__CHAINED__1' ), 'c_Arrow__Order__Mirabelle_OLin' )
% 2.42/2.82 ) ] )
% 2.42/2.82 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.42/2.82
% 2.42/2.82
% 2.42/2.82 subsumption(
% 2.42/2.82 clause( 552, [ ~( 'v_thesis____' ) ] )
% 2.42/2.82 , clause( 20691, [ ~( 'v_thesis____' ) ] )
% 2.42/2.82 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.42/2.82
% 2.42/2.82
% 2.42/2.82 resolution(
% 2.42/2.82 clause( 23701, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.82 'tc_bool' ) ), X ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ] )
% 2.42/2.82 , clause( 552, [ ~( 'v_thesis____' ) ] )
% 2.42/2.82 , 0, clause( 20687, [ 'v_thesis____', ~( hBOOL( hAPP( hAPP( 'c_in'(
% 2.42/2.82 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 2.42/2.82 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 2.42/2.82 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ] )
% 2.42/2.82 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 2.42/2.82
% 2.42/2.82
% 2.42/2.82 subsumption(
% 2.42/2.82 clause( 553, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.82 'tc_bool' ) ), X ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ] )
% 2.42/2.82 , clause( 23701, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.82 'tc_bool' ) ), X ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ] )
% 2.42/2.82 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.42/2.82
% 2.42/2.82
% 2.42/2.82 resolution(
% 2.42/2.82 clause( 23702, [] )
% 2.42/2.82 , clause( 553, [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.82 'tc_bool' ) ), X ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ] )
% 2.42/2.82 , 0, clause( 551, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 2.42/2.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 2.42/2.82 'tc_bool' ) ), 'v_sko__CHAINED__1' ), 'c_Arrow__Order__Mirabelle_OLin' )
% 2.42/2.82 ) ] )
% 2.42/2.82 , 0, substitution( 0, [ :=( X, 'v_sko__CHAINED__1' )] ), substitution( 1, [] )
% 2.42/2.82 ).
% 2.42/2.82
% 2.42/2.82
% 2.42/2.82 subsumption(
% 2.42/2.82 clause( 20023, [] )
% 2.42/2.82 , clause( 23702, [] )
% 2.42/2.82 , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.42/2.82
% 2.42/2.82
% 2.42/2.82 end.
% 2.42/2.82
% 2.42/2.82 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.42/2.82
% 2.42/2.82 Memory use:
% 2.42/2.82
% 2.42/2.82 space for terms: 541134
% 2.42/2.82 space for clauses: 1124268
% 2.42/2.82
% 2.42/2.82
% 2.42/2.82 clauses generated: 106761
% 2.42/2.82 clauses kept: 20024
% 2.42/2.82 clauses selected: 710
% 2.42/2.82 clauses deleted: 3517
% 2.42/2.82 clauses inuse deleted: 93
% 2.42/2.82
% 2.42/2.82 subsentry: 245793
% 2.42/2.82 literals s-matched: 170048
% 2.42/2.82 literals matched: 153990
% 2.42/2.82 full subsumption: 80629
% 2.42/2.82
% 2.42/2.82 checksum: 1734802469
% 2.42/2.82
% 2.42/2.82
% 2.42/2.82 Bliksem ended
%------------------------------------------------------------------------------