TSTP Solution File: SCT031-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT031-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 21:00:40 EDT 2022
% Result : Timeout 300.03s 300.50s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SCT031-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Fri Jul 1 21:01:22 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.89/1.28 *** allocated 10000 integers for termspace/termends
% 0.89/1.28 *** allocated 10000 integers for clauses
% 0.89/1.28 *** allocated 10000 integers for justifications
% 0.89/1.28 *** allocated 15000 integers for termspace/termends
% 0.89/1.28 *** allocated 22500 integers for termspace/termends
% 0.89/1.28 Bliksem 1.12
% 0.89/1.28
% 0.89/1.28
% 0.89/1.28 Automatic Strategy Selection
% 0.89/1.28
% 0.89/1.28 Clauses:
% 0.89/1.28 [
% 0.89/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.28 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.89/1.28 Y, X ), Z, X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.89/1.28 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.89/1.28 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.28 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.28 T, X ), Z, X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.28 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.89/1.28 Y, X ), Z, X ) ) ],
% 0.89/1.28 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 0.89/1.28 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.89/1.28 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.89/1.28 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.28 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.89/1.28 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.89/1.28 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.28 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.89/1.28 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.89/1.28 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.28 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.28 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.89/1.28 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.89/1.28 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.89/1.28 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.89/1.28 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.28 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.28 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.28 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.28 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.28 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.89/1.28 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.28 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.89/1.28 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.89/1.28 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.89/1.28 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.89/1.28 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.89/1.28 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.28 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.28 ],
% 0.89/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.89/1.28 ],
% 0.89/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.89/1.28 ],
% 0.89/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.89/1.28 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.89/1.28 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.89/1.28 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.28 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 0.89/1.28 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 0.89/1.28 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.28 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.89/1.28 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.28 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.28 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.28 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.28 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.28 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.89/1.28 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'(
% 0.89/1.28 T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 0.89/1.28 , Z, 'tc_fun'( T, X ) ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.28 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.89/1.28 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.28 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 0.89/1.28 , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.28 'tc_bool' ) ), X ) ],
% 0.89/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.89/1.28 X, 'tc_bool' ) ), Y ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.89/1.28 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.89/1.28 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.28 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 0.89/1.28 ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 0.89/1.28 ), =( Y, W ) ],
% 0.89/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.28 [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.28 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.28 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.89/1.28 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.89/1.28 [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y,
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.89/1.28 ) ) ],
% 0.89/1.28 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.28 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.89/1.28 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.28 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.28 [ 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 0.89/1.28 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 0.89/1.28 'tc_bool' ) ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, Y,
% 0.89/1.28 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.28 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), Y ),
% 0.89/1.28 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), X ),
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 0.89/1.28 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 0.89/1.28 'tc_bool' ) ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, Y,
% 0.89/1.28 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.28 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 0.89/1.28 ) ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.28 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.89/1.28 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.89/1.28 'tc_bool' ) ), T ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.89/1.28 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), Z ) ) ],
% 0.89/1.28 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.28 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.28 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.89/1.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.89/1.28 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.89/1.28 'tc_bool' ) ), X ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.89/1.28 [ =( 'c_Relation_OImage'( X,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.28 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.89/1.28 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.89/1.28 'tc_bool' ) ), ~( 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'c_Relation_OImage'( 'c_Relation_Oconverse'(
% 0.89/1.28 X, Z, T ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( T, 'tc_bool' )
% 0.89/1.28 ), U ), T, Z ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ 'c_lessequals'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y,
% 0.89/1.28 'tc_bool' ) ), 'c_Relation_OImage'( 'c_Relation_Oconverse'( Z, Y, T ),
% 0.89/1.28 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( T, 'tc_bool' ) ), U ), T
% 0.89/1.28 , Y ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.28 'c_Relation_OImage'( Z, X, Y, T ), U, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.28 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.28 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.28 T, X ), Z, X ) ) ],
% 0.89/1.28 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.28 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.28 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.89/1.28 ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.89/1.28 ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.28 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.28 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.28 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.28 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.89/1.28 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ) ) ],
% 0.89/1.28 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.89/1.28 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.28 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.28 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.28 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.28 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.89/1.28 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.89/1.28 , X ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.28 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.89/1.28 , X ) ) ],
% 0.89/1.28 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.28 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.28 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.28 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Z, 'tc_fun'(
% 0.89/1.28 U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.28 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.89/1.28 , Y ) ],
% 0.89/1.28 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.89/1.28 , Y ) ],
% 0.89/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.89/1.28 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.89/1.28 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.89/1.28 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.28 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.28 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.89/1.28 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.89/1.28 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.89/1.28 'tc_bool' ) ) ],
% 0.89/1.28 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.89/1.28 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.89/1.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.28 ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.28 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.28 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.89/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 0.89/1.28 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.89/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.28 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.28 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.28 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.28 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.28 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.89/1.28 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.89/1.28 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.89/1.28 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.28 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z,
% 0.89/1.28 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.28 'tc_bool' ) ), X ), X, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 0.89/1.28 ) ) ), ~( 'c_Equiv__Relations_Oequiv'( T, Z, X ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.28 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), U ) ) ), ~(
% 0.89/1.28 'c_lessequals'( 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Z,
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ),
% 0.89/1.28 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ),
% 0.89/1.28 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, X ) )
% 0.89/1.28 ],
% 0.89/1.28 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP(
% 0.89/1.28 hAPP( X, Z ), W ), U, V0 ), ~( 'c_Finite__Set_Ofold__graph'( X, Y, T, W,
% 0.89/1.28 U, V0 ) ), hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ],
% 0.89/1.28 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.89/1.28 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.89/1.28 hAPP( 'c_in'( Z ), T ), X ) ) ],
% 0.89/1.28 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.28 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.89/1.28 hAPP( 'c_in'( T ), Y ), X ) ) ],
% 0.89/1.28 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP(
% 0.89/1.28 'c_in'( Z ), T ), X ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.89/1.28 , 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.28 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.89/1.28 hAPP( 'c_in'( T ), Y ), X ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'(
% 0.89/1.28 'c_Set_Oinsert'( Y, T, X ), Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.28 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.89/1.28 hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.89/1.28 hAPP( 'c_in'( U ), Z ), W ) ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( Y, W
% 0.89/1.28 , U, X ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 0.89/1.28 'c_Set_Oimage'( X, W, T, U ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), W )
% 0.89/1.28 ) ],
% 0.89/1.28 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.28 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.89/1.29 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 0.89/1.29 ) ), X ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.89/1.29 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.29 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.89/1.29 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 0.89/1.29 ) ), X ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.89/1.29 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.89/1.29 hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.89/1.29 , U, X ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( hAPP( X, Y ),
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.89/1.29 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( T ), Y ), Z ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 0.89/1.29 hAPP( hAPP( 'c_in'( U ), Y ), W ) ) ), ~( 'c_lessequals'(
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( W, X, U, 'tc_fun'(
% 0.89/1.29 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( X, Y ),
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.89/1.29 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.89/1.29 U, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.29 hAPP( 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), X
% 0.89/1.29 ), hAPP( 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool'
% 0.89/1.29 ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ), 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'(
% 0.89/1.29 X, 'tc_bool' ), 'tc_bool' ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.89/1.29 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.89/1.29 Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.29 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.89/1.29 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.89/1.29 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.89/1.29 Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ],
% 0.89/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.89/1.29 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ) ],
% 0.89/1.29 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.29 'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ),
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, Z, 'tc_fun'(
% 0.89/1.29 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.89/1.29 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 0.89/1.29 Y, Z, T, 'tc_fun'( U, 'tc_bool' ), W ), W, 'tc_fun'( U, 'tc_bool' ) ),
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 'c_Set_Oimage'( Z
% 0.89/1.29 , X, W, T ), Y, T, 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.29 'c_Set_Oimage'( X, Y, Z, T ), U, T, 'tc_fun'( W, 'tc_bool' ) ),
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBB'( U, X
% 0.89/1.29 , T, 'tc_fun'( W, 'tc_bool' ), Z ), Z, 'tc_fun'( W, 'tc_bool' ) ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.29 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.29 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ],
% 0.89/1.29 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.89/1.29 ~( 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.29 U, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.89/1.29 [ 'c_lessequals'( X, 'c_Complete__Lattice_OSup__class_OSup'( Y, 'tc_fun'(
% 0.89/1.29 Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.89/1.29 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.29 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.29 T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.29 T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( X ), Z ), Y ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.29 ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 0.89/1.29 , 'tc_bool' ) ) ],
% 0.89/1.29 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.89/1.29 ~( 'c_lessequals'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y,
% 0.89/1.29 'tc_bool' ) ), X ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Collect'( 'c_COMBB'( 'c_Not', X, 'tc_bool', 'tc_bool', Y ), Y )
% 0.89/1.29 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ),
% 0.89/1.29 'c_Collect'( X, Y ) ) ) ],
% 0.89/1.29 [ =( 'c_Set_Ovimage'( X, 'c_Collect'( Y, Z ), T, Z ), 'c_Collect'(
% 0.89/1.29 'c_COMBB'( Y, X, Z, 'tc_bool', T ), T ) ) ],
% 0.89/1.29 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.89/1.29 X, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.89/1.29 X, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 0.89/1.29 ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.89/1.29 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z,
% 0.89/1.29 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_fun'( Z, 'tc_bool' ) ), X ), 'c_Set_OPow'( Y, Z ) ) ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.89/1.29 'c_Set_OPow'( Z, X ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool'
% 0.89/1.29 ) ) ) ],
% 0.89/1.29 [ =( 'c_Complete__Lattice_OSup__class_OSup'(
% 0.89/1.29 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ), X
% 0.89/1.29 ), ~( 'c_Equiv__Relations_Oequiv'( X, Y, Z ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_Complete__Lattice_OInf__class_OInf'( X, 'tc_fun'( Y
% 0.89/1.29 , 'tc_bool' ) ), Z, 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), X ) ) ) ],
% 0.89/1.29 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.29 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.89/1.29 ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( Z ), Y ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ),
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z ) )
% 0.89/1.29 , X ) ) ],
% 0.89/1.29 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.29 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.89/1.29 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 0.89/1.29 ) ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~( hBOOL(
% 0.89/1.29 hAPP( hAPP( 'c_in'( Z ), Y ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U
% 0.89/1.29 , X, Z ) ) ],
% 0.89/1.29 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.29 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.89/1.29 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z ) ), X ) ), ~( hBOOL(
% 0.89/1.29 hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 0.89/1.29 , Y ), U ) ) ) ],
% 0.89/1.29 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.29 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.89/1.29 ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 0.89/1.29 ) ), X ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~(
% 0.89/1.29 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.89/1.29 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.29 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.29 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.89/1.29 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.29 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.29 [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 0.89/1.29 ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.89/1.29 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.89/1.29 ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.89/1.29 ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.89/1.29 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.89/1.29 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.89/1.29 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.29 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.29 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.89/1.29 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.89/1.29 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.29 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.29 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.89/1.29 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.89/1.29 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.89/1.29 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.89/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.29 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.29 ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.29 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z
% 0.89/1.29 ) ), 'c_Pair'( Y, T, Z, Z ) ), X ) ) ), ~( 'c_Equiv__Relations_Oequiv'(
% 0.89/1.29 U, X, Z ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.89/1.29 [ 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U,
% 0.89/1.29 Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 0.89/1.29 , 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.29 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.29 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.29 ) ],
% 0.89/1.29 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.29 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.29 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.29 ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.29 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.89/1.29 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.89/1.29 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.29 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 Z, T, X ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.29 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 T, Z, X ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.89/1.29 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.89/1.29 'c_lessequals'( Z, T, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.29 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 Z, T, X ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.29 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 T, Z, X ), X ) ) ],
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.29 Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.29 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.89/1.29 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 0.89/1.29 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 0.89/1.29 ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.29 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.89/1.29 Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.89/1.29 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 0.89/1.29 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), Z, T ) ) ],
% 0.89/1.29 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), Z, T ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.89/1.29 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.89/1.29 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.29 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.89/1.29 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.29 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 0.89/1.29 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 0.89/1.29 ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.29 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 0.89/1.29 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 0.89/1.29 ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.29 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 0.89/1.29 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 0.89/1.29 ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.29 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 0.89/1.29 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 0.89/1.29 ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'( T, Z,
% 0.89/1.29 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T )
% 0.89/1.29 ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.29 X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( T, Z, 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.29 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( X ), U ), Z ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.29 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( X ), U ), Y ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z, T, U, X )
% 0.89/1.29 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( W, Y,
% 0.89/1.29 U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z, T, U, X )
% 0.89/1.29 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( W, Y,
% 0.89/1.29 U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), U ) ) ), ~(
% 0.89/1.29 'c_Equiv__Relations_Oequiv'( Z, U, X ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ), U ) ) ), ~(
% 0.89/1.29 'c_Equiv__Relations_Oequiv'( Z, U, X ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.29 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_OImage'( T,
% 0.89/1.29 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ), X ), X, X ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Z,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ),
% 0.89/1.29 'tc_fun'( X, 'tc_bool' ) ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T, X
% 0.89/1.29 ) ) ],
% 0.89/1.29 [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), hBOOL(
% 0.89/1.29 hAPP( hAPP( 'c_in'( U ), Z ), 'c_Set_Oimage'( X, W, T, U ) ) ), ~(
% 0.89/1.29 'c_Fun_Oinj__on'( X, W, T, U ) ) ],
% 0.89/1.29 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Collect'( hAPP(
% 0.89/1.29 'c_COMBC'( 'c_fequal'( Z ), Z, Z, 'tc_bool' ), X ), Z ), Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.29 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ), X ), X ), X ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.29 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.89/1.29 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.29 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.29 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.29 X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.29 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ), hBOOL( hAPP( hAPP( 'c_in'( T
% 0.89/1.29 ), Y ), Z ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( Z ), T ), X ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1'( X, Y, Z
% 0.89/1.29 ), X, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_Complete__Lattice_OSup__class_OSup'( Y, 'tc_fun'( Z, 'tc_bool' ) ), X
% 0.89/1.29 , 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.89/1.29 , 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.89/1.29 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X, Y, T, U
% 0.89/1.29 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.89/1.29 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.89/1.29 , W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.89/1.29 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.89/1.29 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.89/1.29 ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'(
% 0.89/1.29 Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 0.89/1.29 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.29 ), ~( 'c_lessequals'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 0.89/1.29 Z, 'tc_bool' ) ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.89/1.29 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.29 ) ) ), 'c_lessequals'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 0.89/1.29 Z, 'tc_bool' ) ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.89/1.29 , T, X ) ) ), =( Z, T ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.29 , T, X ) ) ), =( Y, Z ) ],
% 0.89/1.29 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.29 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.89/1.29 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.89/1.29 U ) ) ],
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.89/1.29 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.89/1.29 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.89/1.29 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.89/1.29 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), =( Y, T ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.89/1.29 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), =( Y, T ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1'( Y, Z, X ) ) ),
% 0.89/1.29 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.29 'c_Complete__Lattice_OSup__class_OSup'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.89/1.29 ) ],
% 0.89/1.29 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( U ), hAPP( X, Y ) ), 'c_Set_Oimage'( X,
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.29 T, 'tc_bool' ) ), T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.29 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.89/1.29 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.29 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'c_Collect'( X, Z ),
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.29 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.89/1.29 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.29 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.29 , X ) ],
% 0.89/1.29 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), 'c_Set_Oinsert'( Y
% 0.89/1.29 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.29 'c_Complete__Lattice_OInf__class_OInf'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.89/1.29 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1'( Y, Z, X ) ) ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.89/1.29 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), T ) ) ) ],
% 0.89/1.29 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.89/1.29 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.89/1.29 Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.89/1.29 Z, Y ) ) ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.89/1.29 Y, X ) ) ) ) ],
% 0.89/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.29 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.29 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ), hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( Z ), Y ), T ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'(
% 0.89/1.29 Y, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.29 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.29 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.29 ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.89/1.29 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.89/1.29 ) ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y,
% 0.89/1.29 'tc_fun'( X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.89/1.29 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.29 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.29 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.29 'c_Complete__Lattice_OInf__class_OInf'( Z, X ), X ) ) ],
% 0.89/1.29 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.89/1.29 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.89/1.29 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.89/1.29 ],
% 0.89/1.29 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.29 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.29 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.29 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.89/1.29 ],
% 0.89/1.29 [ =( 'c_Collect'( X, Y ), X ) ],
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.89/1.29 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.29 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.89/1.29 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.29 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z,
% 0.89/1.29 'c_Set_Oinsert'( hAPP( Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.29 T, 'tc_bool' ) ), T ), X, T ) ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.89/1.29 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.89/1.29 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.89/1.29 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.89/1.29 X, T ), Y ) ) ) ],
% 0.89/1.29 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.89/1.29 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X )
% 0.89/1.29 ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.89/1.29 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.29 ) ) ) ],
% 0.89/1.29 [ =( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'(
% 0.89/1.29 'c_List_Osko__Equiv__Relations__XquotientE__1__1'( Z, X, Y, T ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, T ) )
% 0.89/1.29 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( T, 'tc_bool' ) ), X ),
% 0.89/1.29 'c_Equiv__Relations_Oquotient'( Z, Y, T ) ) ) ) ],
% 0.89/1.29 [ ~( =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 0.89/1.29 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.89/1.29 ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( Y ), X ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, Z, Y ) ),
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, Y ) ), 'c_Pair'( X, T, Y, Y ) )
% 0.89/1.29 , Z ) ) ],
% 0.89/1.29 [ =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 0.89/1.29 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.89/1.29 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, Y ) ), 'c_Pair'( X, T, Y, Y
% 0.89/1.29 ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), U ) ) ), ~( hBOOL(
% 0.89/1.29 hAPP( hAPP( 'c_in'( Y ), X ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U
% 0.89/1.29 , Z, Y ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X,
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.89/1.29 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.89/1.29 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.89/1.29 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ],
% 0.89/1.29 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X
% 0.89/1.29 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T, U )
% 0.89/1.29 , 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ), ~(
% 0.89/1.29 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ),
% 0.89/1.29 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.89/1.29 'tc_fun'( T, 'tc_bool' ) ), T, U ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.29 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ) )
% 0.89/1.29 , 'c_Equiv__Relations_Oquotient'( T, Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( X ), Z ), T ) ) ) ],
% 0.89/1.29 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.29 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.89/1.29 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.29 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.29 ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ), Z ), 'c_Equiv__Relations_Oquotient'( U, W, X ) ) ) ), ~(
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Z ),
% 0.89/1.29 'c_Equiv__Relations_Oquotient'( U, W, X ) ) ) ), ~(
% 0.89/1.29 'c_Equiv__Relations_Oequiv'( U, W, X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.29 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), W ) ) ],
% 0.89/1.29 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 0.89/1.29 T, U, Z, Z ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), Y ) ) )
% 0.89/1.29 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_Equiv__Relations_Oquotient'(
% 0.89/1.29 V0, W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.29 ), X ), 'c_Equiv__Relations_Oquotient'( V0, W, Z ) ) ) ), ~(
% 0.89/1.29 'c_Equiv__Relations_Oequiv'( V0, W, Z ) ) ],
% 0.89/1.29 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 0.89/1.29 'c_Set_Oinsert'( Z, 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( W,
% 0.89/1.29 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ) ), ~( hBOOL(
% 0.89/1.29 hAPP( hAPP( 'c_in'( T ), Y ), W ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.89/1.29 ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), 'c_Relation_OImage'( U
% 0.89/1.29 , 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ), X ), X, Y ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z,
% 0.89/1.29 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.89/1.29 'tc_bool' ) ), U ), U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 U, X ) ), 'c_Pair'( T, Y, U, X ) ), Z ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, T ) ), X ),
% 0.89/1.29 'c_FuncSet_OPi'( Y, 'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ) )
% 0.89/1.29 ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.89/1.29 , 'c_COMBK'( U, 'tc_fun'( Y, 'tc_bool' ), X ), X, Y ) ) ), hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( X ), 'c_FuncSet_Osko__FuncSet__XfuncsetI__1__1'( T, U, Z, X
% 0.89/1.29 , Y ) ), T ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.89/1.29 , 'c_COMBK'( U, 'tc_fun'( Y, 'tc_bool' ), X ), X, Y ) ) ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( Y ), hAPP( Z, 'c_FuncSet_Osko__FuncSet__XfuncsetI__1__1'( T
% 0.89/1.29 , U, Z, X, Y ) ) ), U ) ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.29 ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 Y ), 'c_Equiv__Relations_Oquotient'( T, U, Z ) ) ) ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( 'tc_fun'( Z, 'tc_bool' ) ), X ),
% 0.89/1.29 'c_Equiv__Relations_Oquotient'( T, U, Z ) ) ) ), ~(
% 0.89/1.29 'c_Equiv__Relations_Oequiv'( T, U, Z ) ) ],
% 0.89/1.29 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.29 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.89/1.29 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.29 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.29 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.89/1.29 ],
% 0.89/1.29 [ =( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Collect'( hAPP( 'c_COMBC'(
% 0.89/1.29 'c_COMBB'( 'c_in'( T ), X, T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ),
% 0.89/1.29 'tc_bool' ), Z ), Z, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), Y ), Z ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.89/1.29 ), 'c_Collect'( 'c_COMBB'( 'c_Not', hAPP( 'c_COMBC'( 'c_in'( X ), X,
% 0.89/1.29 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Y ), 'tc_bool', 'tc_bool', X ), X
% 0.89/1.29 ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_Complete__Lattice_OSup__class_OSup'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z
% 0.89/1.29 , 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.29 , 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.29 , 'c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1'( Z, X,
% 0.89/1.29 Y ) ), X ) ) ],
% 0.89/1.29 [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0 )
% 0.89/1.29 , ~( 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.89/1.29 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 0.89/1.29 'tc_bool' ) ), W ), 'tc_fun'( W, 'tc_bool' ) ), U, W, V0 ) ), ~( hBOOL(
% 0.89/1.29 hAPP( hAPP( 'c_in'( W ), T ), Z ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.89/1.29 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( Z ), Y ), X ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z
% 0.89/1.29 ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.29 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~( 'c_lessequals'(
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.29 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.29 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~( 'c_lessequals'(
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.29 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Finite__Set_Osetsum'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.89/1.29 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, 'tc_nat' ),
% 0.89/1.29 'c_Finite__Set_Osetsum'( X, Y, T, 'tc_nat' ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.29 T ), Z ), Y ) ) ],
% 0.89/1.29 [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 0.89/1.29 ), ~( hBOOL( hAPP( hAPP( 'c_in'( W ), T ), Z ) ) ), ~(
% 0.89/1.29 'c_Finite__Set_Ofold__graph'( X, Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.89/1.29 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 0.89/1.29 'tc_bool' ) ), W ), 'tc_fun'( W, 'tc_bool' ) ), U, W, V0 ) ) ],
% 0.89/1.29 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.29 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'tc_fun'(
% 0.89/1.29 Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 0.89/1.29 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.29 'tc_bool' ) ), Y, Z ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.89/1.29 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T,
% 0.89/1.29 'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~(
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 0.89/1.29 ) ],
% 0.89/1.29 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.89/1.29 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.89/1.29 Y, Z ) ) ],
% 0.89/1.29 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.29 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.89/1.29 [ =( X, Y ), =( X, Y ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.89/1.29 Z, Y ) ) ) ],
% 0.89/1.29 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), Y )
% 0.89/1.29 ) ],
% 0.89/1.29 [ =( 'c_Set_Ovimage'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 0.89/1.29 Y, 'tc_bool' ) ), Z ), T, Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.29 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Ovimage'( X, Z, T, Y ) ) ) ],
% 0.89/1.29 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 0.89/1.29 Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =(
% 0.89/1.29 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.89/1.29 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.89/1.29 ) ) ],
% 0.89/1.29 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.89/1.29 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z
% 0.89/1.29 ) ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.89/1.29 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.89/1.29 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ],
% 0.89/1.29 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 0.89/1.29 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( X, T ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Arrow__Order__Mirabelle_Omkbot'( Z, T ) ) ) ) ],
% 0.89/1.29 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.29 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.89/1.29 ) ), Z, X ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.29 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.89/1.29 ) ) ) ],
% 0.89/1.29 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.29 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.29 ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.89/1.29 'c_Collect'( T, X ), 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ),
% 0.89/1.29 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y ) ) ), =( X, Y
% 0.89/1.29 ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y,
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Z,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 0.89/1.29 U, 'tc_bool' ) ), U, X ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, 'c_Set_Oinsert'(
% 0.89/1.29 Z, T, U ), U, X ) ) ],
% 0.89/1.29 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_Complete__Lattice_OSup__class_OSup'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z
% 0.89/1.29 , 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.29 , 'tc_bool' ) ) ) ), =( 'c_Lattices_Olower__semilattice__class_Oinf'( T,
% 0.89/1.29 Z, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.29 Y, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Y, 'tc_bool'
% 0.89/1.29 ) ), T ), X ) ) ) ],
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.89/1.29 Y, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.89/1.29 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.89/1.29 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( Z ), X ), Y ) ) ],
% 0.89/1.29 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.29 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) ),
% 0.89/1.29 Y ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.29 X ), Y ) ), Y ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.29 X ), Y ) ), Y ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.29 X ), Y ) ) ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.29 X ), Y ) ) ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.29 X ), Y ) ), Y ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.89/1.29 X ) ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.89/1.29 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.89/1.29 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Ovimage'( X, Y, U, T
% 0.89/1.29 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.29 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ), X ), X ), X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.89/1.29 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.89/1.29 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 0.89/1.29 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 0.89/1.29 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.89/1.29 Y, Z, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), Y ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Z, T ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), =( X, T ), ~(
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, T ),
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, Y, T ) ) ) ],
% 0.89/1.29 [ =( X, Y ), =( X, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 0.89/1.29 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), T ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, Y ), hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Z,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Arrow__Order__Mirabelle_Oabove'( T, X, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Z,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , T ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( Y, T ), =( X, T ), ~(
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, U, T ) ) ) ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( U, T ) ],
% 0.89/1.29 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.89/1.29 Z, T, Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, Y ),
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , Z ) ), =( X, T ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.89/1.29 Z, T, X ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, X ),
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , Z ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, X,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , Z ) ) ), =( T, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, X ),
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, X ) ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, Y ), hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , Z ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 0.89/1.29 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, U,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , Z ) ) ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 0.89/1.29 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( U, Y,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , Z ) ) ), =( Y, T ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 0.89/1.29 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 0.89/1.29 [ =( X, Y ), =( Y, X ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 0.89/1.29 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, X ), hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, Y, X ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.89/1.29 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( T, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, Y ), hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, Y ) ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( T, Y ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, T ), hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, T ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.89/1.29 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, U ), =( X, U ), =(
% 0.89/1.29 X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 0.89/1.29 Y, Z, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), Y ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Z, T ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, T ), =( T, Y ), ~(
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, X ),
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, X ) ) ) ],
% 0.89/1.29 [ =( X, Y ), =( Z, X ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 0.89/1.29 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), T ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, X ), hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Z, X,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Arrow__Order__Mirabelle_Obelow'( T, Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Z, X,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , T ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( X, T ), =( Y, T ), ~(
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, U ) ) ) ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 0.89/1.29 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 0.89/1.29 Z, Y, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, T ),
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, X,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , Z ) ), =( X, T ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 0.89/1.29 Z, Y, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, T ),
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , Z ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, T,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , Z ) ) ), =( X, T ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, T ),
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, Y, T ) ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, T ), hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , Z ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.89/1.29 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, U ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , Z ) ) ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.89/1.29 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , Z ) ) ), =( X, U ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 0.89/1.29 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 0.89/1.29 [ =( X, Y ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 0.89/1.29 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, Y ), hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, Y ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 0.89/1.29 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( U, Y,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, Y ), hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, X, Y ) ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, Y ), hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, Y ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 0.89/1.29 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), =( Y, T ), =(
% 0.89/1.29 X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, X, Z ) ) )
% 0.89/1.29 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, U )
% 0.89/1.29 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), Y ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.29 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.89/1.29 , Z ) ), T ) ), ~( hBOOL( hAPP( U,
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.89/1.29 , Z ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.29 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.89/1.29 , Z ) ), T ) ), ~( hBOOL( hAPP( X,
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.89/1.29 , Z ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.29 , ~( hBOOL( hAPP( X,
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.89/1.29 , Z ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.89/1.29 , Z ) ), T ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.29 , ~( hBOOL( hAPP( U,
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.89/1.29 , Z ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.89/1.29 , Z ) ), T ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.29 'c_SetInterval_Oord_OatLeastLessThan'( Z, T, U, W, X ) ) ), ~( hBOOL(
% 0.89/1.29 hAPP( hAPP( T, Y ), W ) ) ), ~( hBOOL( hAPP( hAPP( Z, U ), Y ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 0.89/1.29 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 0.89/1.29 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.29 'c_SetInterval_Oord_OatLeastAtMost'( Z, T, U, X ) ) ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( Z, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.29 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 0.89/1.29 hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( Z, T ) ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.29 'c_SetInterval_Oord_OgreaterThanLessThan'( Z, T, U, X ) ) ), ~( hBOOL(
% 0.89/1.29 hAPP( hAPP( Z, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.29 'c_SetInterval_Oord_OgreaterThanAtMost'( Z, T, U, W, X ) ) ), ~( hBOOL(
% 0.89/1.29 hAPP( hAPP( Z, Y ), W ) ) ), ~( hBOOL( hAPP( hAPP( T, U ), Y ) ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.29 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 0.89/1.29 hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( Z, U ) ) ), ~(
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( X ), U ), Y ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexI__1__1'( Y, X, Z ) ) )
% 0.89/1.29 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, T )
% 0.89/1.29 ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.29 ) ],
% 0.89/1.29 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.89/1.29 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.89/1.29 , X, V0, V1, V2, U, V3, V4, T ) ) ],
% 0.89/1.29 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.89/1.29 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.89/1.29 , W, V0, V1, U, V2, V3, V4, T ) ) ],
% 0.89/1.29 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.29 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( X, Y ), =( Y, X ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.89/1.29 Z, X ) ) ) ],
% 0.89/1.29 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.89/1.29 X ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.89/1.29 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y )
% 0.89/1.29 ) ) ],
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 0.89/1.29 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.29 ) ), Y ) ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.29 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.89/1.29 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.89/1.29 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.89/1.29 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL(
% 0.89/1.29 hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.89/1.29 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.29 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( X ), Y ), T ) ) ), ~( =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29 ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.29 'c_Set_OPow'( Y, X ) ) ) ],
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.29 , X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.29 , Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.29 , Y, X ) ) ],
% 0.89/1.29 [ ~( =( hAPP( X, 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'( Y, X
% 0.89/1.29 , Z, T, U ) ), hAPP( Z, 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'(
% 0.89/1.29 Y, X, Z, T, U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( T, U ) ),
% 0.89/1.29 Z ), 'c_FuncSet_Oextensional'( Y, T, U ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_fun'( T, U ) ), X ), 'c_FuncSet_Oextensional'( Y, T, U ) ) )
% 0.89/1.29 ), =( X, Z ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 0.89/1.29 [ ~( =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29 , Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.29 Z ) ) ), =( Y, Z ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Arrow__Order__Mirabelle_Omktop'( Z, T ) ) ) ) ],
% 0.89/1.29 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.29 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.89/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.29 ), =( Z, Y ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.29 ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.29 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.29 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.29 ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.29 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.29 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.89/1.29 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.29 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.89/1.29 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.29 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.89/1.29 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.29 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.89/1.29 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( Y ), X ), T ) ) ],
% 0.89/1.29 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.89/1.29 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2
% 0.89/1.29 , U, V3, V4, T ) ) ],
% 0.89/1.29 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.89/1.29 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U,
% 0.89/1.29 V2, V3, V4, T ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'( Y, Z, T, U, X )
% 0.89/1.29 ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, U,
% 0.89/1.29 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, W ) ) ), ~( hBOOL(
% 0.89/1.29 hAPP( hAPP( 'c_in'( X ), W ), hAPP( Z, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( U ), V0 ), Y ) ) ) ],
% 0.89/1.29 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.29 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.89/1.29 Z, X ) ) ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.89/1.29 Y, X ) ) ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.89/1.29 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.89/1.29 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.89/1.29 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.89/1.29 [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ),
% 0.89/1.29 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( U, 'tc_bool' ) ), U ), T, U ) ) ) ) ],
% 0.89/1.29 [ =( 'c_Set_Oinsert'( X,
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.89/1.29 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ],
% 0.89/1.29 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.29 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.89/1.29 ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, X ) ), 'c_Pair'( T
% 0.89/1.29 , Z, Y, X ) ), 'c_Relation_Oconverse'( U, X, Y ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.89/1.29 ), 'c_Relation_Oconverse'( U, Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.29 'tc_prod'( Y, X ) ), 'c_Pair'( T, Z, Y, X ) ), U ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.89/1.29 ), 'c_Relation_Oconverse'( U, Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.29 'tc_prod'( Y, X ) ), 'c_Pair'( T, Z, Y, X ) ), U ) ) ) ],
% 0.89/1.29 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.29 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.89/1.29 , Z, V2, Y ) ) ],
% 0.89/1.29 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.29 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.89/1.29 , V2, Z, Y ) ) ],
% 0.89/1.29 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.29 'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.89/1.29 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( Z ), X ), Y ) ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.89/1.29 'tc_bool' ) ), X ) ],
% 0.89/1.29 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.29 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.29 ],
% 0.89/1.29 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y
% 0.89/1.29 ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.89/1.29 , 'tc_bool' ) ), X ) ) ],
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.29 Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Z )
% 0.89/1.29 ) ],
% 0.89/1.29 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Z )
% 0.89/1.29 ) ],
% 0.89/1.29 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'c_Collect'( T, X ),
% 0.89/1.29 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, Y ) ) ), ~( hBOOL(
% 0.89/1.29 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.29 [ =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_OPow'( X, Y ),
% 0.89/1.29 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 0.89/1.29 X, T, U ), Z ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 0.89/1.29 hAPP( X, U ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.89/1.29 hAPP( X, T ) ) ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.29 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.29 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.89/1.29 [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ), 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.89/1.29 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.29 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ), 'tc_bool' ), Y ), X ), Y ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.89/1.29 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, T ), =( X, T ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.89/1.29 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), =( X, T ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.29 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.29 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.29 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.29 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ),
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ), Z ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexE__1__1'( Y, X, Z ) ) )
% 0.89/1.29 , ~( hBOOL( hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y )
% 0.89/1.29 ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.89/1.29 ), 'c_SetInterval_Oord_OgreaterThanAtMost'( U, X, Y, W, T ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.89/1.29 ), 'c_SetInterval_Oord_OgreaterThanAtMost'( X, U, W, Z, T ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( X ), Y ), T ) ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_fun'(
% 0.89/1.29 X, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.29 , ~( hBOOL( hAPP( X,
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.89/1.29 , Z ) ) ) ), ~( hBOOL( hAPP( U,
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.89/1.29 , Z ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.29 , ~( hBOOL( hAPP( U,
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.89/1.29 , Z ) ) ) ), ~( hBOOL( hAPP( X,
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.89/1.29 , Z ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.29 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.89/1.29 , Z ) ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.89/1.29 , Z ) ), T ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.29 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.89/1.29 , Z ) ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.89/1.29 , Z ) ), T ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.29 , ~( hBOOL( hAPP( X,
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.89/1.29 , X, Z ) ) ) ), ~( hBOOL( hAPP( U,
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.89/1.29 , X, Z ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.29 , ~( hBOOL( hAPP( U,
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.89/1.29 , U, Z ) ) ) ), ~( hBOOL( hAPP( X,
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.89/1.29 , U, Z ) ) ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( T, Y ) )
% 0.89/1.29 , hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XballE__1__1'(
% 0.89/1.29 Z, T, X ) ), Z ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, X, Z ) ) )
% 0.89/1.29 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, T )
% 0.89/1.29 ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.89/1.29 ), 'c_SetInterval_Oord_OgreaterThanLessThan'( X, Y, U, T ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.89/1.29 ), 'c_SetInterval_Oord_OgreaterThanLessThan'( X, U, Z, T ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z,
% 0.89/1.29 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T,
% 0.89/1.29 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.29 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.89/1.29 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y,
% 0.89/1.29 Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 0.89/1.29 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.89/1.29 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 0.89/1.29 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.89/1.29 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.89/1.29 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 0.89/1.29 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.89/1.29 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.89/1.29 ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~(
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.29 [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ),
% 0.89/1.29 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool'
% 0.89/1.29 ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Collect'( Z, X ) ) ), ~( hBOOL(
% 0.89/1.29 hAPP( Z, Y ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.89/1.29 'c_Collect'( X, Z ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OatMost'( Z,
% 0.89/1.29 T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), T ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.89/1.29 ), 'c_SetInterval_Oord_OatMost'( X, Z, T ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.89/1.29 T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 0.89/1.29 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.89/1.29 T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 0.89/1.29 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.29 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.89/1.29 , X, Z ) ), T ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.29 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.89/1.29 , U, Z ) ), T ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( T, Y ) )
% 0.89/1.29 , ~( hBOOL( hAPP( T, 'c_ATP__Linkup_Osko__Set__XballE__1__1'( Z, T, X ) )
% 0.89/1.29 ) ) ],
% 0.89/1.29 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z
% 0.89/1.29 ), X ), Y ) ), =( Y, T ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XbexI__1__1'(
% 0.89/1.29 Y, Z, X ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~(
% 0.89/1.29 hBOOL( hAPP( Z, T ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.89/1.29 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.89/1.29 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.89/1.29 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.89/1.29 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OgreaterThan'(
% 0.89/1.29 Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.89/1.29 ), 'c_SetInterval_Oord_OgreaterThan'( X, Y, T ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X,
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'( Y, Z, X, T, U )
% 0.89/1.29 ) ), ~( hBOOL( hAPP( X, W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W )
% 0.89/1.29 , hAPP( Z, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), V0 ), Y ) ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.89/1.29 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.89/1.29 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.89/1.29 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( U ), T ), Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y
% 0.89/1.29 , W, X, V0, V1, V2, V3, V4, U ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( U ), Y ), T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.89/1.29 , Z, X, V0, V1, V2, V3, V4, U ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.89/1.29 ), 'c_SetInterval_Oord_OatLeastAtMost'( X, U, Z, T ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.89/1.29 ), 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, U, T ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T
% 0.89/1.29 ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 0.89/1.29 ), Z ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T
% 0.89/1.29 ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 0.89/1.29 ), Y ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XbexE__1__1'(
% 0.89/1.29 Y, Z, X ) ), Y ) ), ~( hBOOL( hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( X ), T ), Y ) ) ) ],
% 0.89/1.29 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 0.89/1.29 , X ), Y ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OlessThan'( Z
% 0.89/1.29 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), T ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.89/1.29 ), 'c_SetInterval_Oord_OlessThan'( X, Z, T ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 0.89/1.29 T, 'tc_fun'( U, 'tc_bool' ) ) ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.89/1.29 Y, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), V1 ), X ) ) )
% 0.89/1.29 ],
% 0.89/1.29 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.89/1.29 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.89/1.29 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 0.89/1.29 T, 'tc_fun'( U, 'tc_bool' ) ) ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.89/1.29 Y, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), V1 ), X ) ) )
% 0.89/1.29 ],
% 0.89/1.29 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.89/1.29 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.89/1.29 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.89/1.29 ), 'c_SetInterval_Oord_OatLeastLessThan'( U, X, W, Z, T ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.89/1.29 ), 'c_SetInterval_Oord_OatLeastLessThan'( X, U, Y, W, T ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.29 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 0.89/1.29 hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'( Y, X, Z )
% 0.89/1.29 ) ), ~( hBOOL( hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T )
% 0.89/1.29 , Y ) ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 0.89/1.29 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 0.89/1.29 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.89/1.29 , U, X, Y ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.29 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( T, U, Z, X, Y ) ), T ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.89/1.29 , U, X, Y ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.29 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( T, U, Z, X, Y ) ), T ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ =( hAPP( X, Y ), 'c_HOL_Oundefined'( Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.29 T ), Y ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( T, Z ) ), X ),
% 0.89/1.29 'c_FuncSet_Oextensional'( U, T, Z ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.89/1.29 , U, X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), hAPP( Z,
% 0.89/1.29 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( T, U, Z, X, Y ) ) ), hAPP( U,
% 0.89/1.29 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( T, U, Z, X, Y ) ) ) ) ) ],
% 0.89/1.29 [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.29 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'( T, X, Y, Z, U ) ), T )
% 0.89/1.29 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, U ) ), Y ),
% 0.89/1.29 'c_FuncSet_Oextensional'( T, Z, U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.29 'tc_fun'( Z, U ) ), X ), 'c_FuncSet_Oextensional'( T, Z, U ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 0.89/1.29 U, X ) ), Y ), 'c_FuncSet_OPi'( W, 'c_COMBK'( T, 'tc_fun'( X, 'tc_bool' )
% 0.89/1.29 , U ), U, X ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.89/1.29 , U, X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), hAPP( Z,
% 0.89/1.29 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( T, U, Z, X, Y ) ) ), hAPP( U,
% 0.89/1.29 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( T, U, Z, X, Y ) ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.29 'c_Complete__Lattice_OInf__class_OInf'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.89/1.29 , hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1'( Y, Z, X ) ), Z )
% 0.89/1.29 ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.29 'c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1'( Y, Z, X ) ), Z )
% 0.89/1.29 ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.29 'c_Complete__Lattice_OSup__class_OSup'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.89/1.29 ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.29 'c_List_Osko__Equiv__Relations__XquotientE__1__1'( Y, Z, T, X ) ), Y ) )
% 0.89/1.29 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Z ),
% 0.89/1.29 'c_Equiv__Relations_Oquotient'( Y, T, X ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.89/1.29 'c_Set_OPow'( Y, X ) ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , Z ) ) ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.29 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , Z ) ), =( Y, X ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.89/1.29 [ 'c_Arrow__Order__Mirabelle_OIIA'( 'v_F' ) ],
% 0.89/1.29 [ 'c_Arrow__Order__Mirabelle_Ounanimity'( 'v_F' ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~(
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_fun'( U, X ) ), Y ), 'c_FuncSet_OPi'( W, T, U, X ) ) ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( T ), hAPP( U, Y ) ), hAPP( W, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_fun'( X, T ) ), U ), 'c_FuncSet_OPi'( Z, W, X, T ) ) ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( X ), Y ), 'c_Complete__Lattice_OInf__class_OInf'( T, 'tc_fun'( X
% 0.89/1.29 , 'tc_bool' ) ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.29 'c_Complete__Lattice_OSup__class_OSup'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.89/1.29 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), T ), Z ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y
% 0.89/1.29 ) ), 'c_Arrow__Order__Mirabelle_OLin' ) ), =( X, Y ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Omktop'( X, Y ) ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.29 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'( X, Y ) ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.29 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Obelow'( X, Y, Z ) ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.29 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, Z ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), 'v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1' ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), X ), 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 0.89/1.29 'c_Relation_Oconverse'( X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_OLin' )
% 0.89/1.29 ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), 'c_Relation_Oconverse'( X,
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.29 , 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.29 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Oabove'( X, Y, Z ) ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.29 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, Z ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 0.89/1.29 ],
% 0.89/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 0.89/1.29 ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_fun'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_F' ),
% 0.89/1.29 'c_FuncSet_OPi'( 'c_Arrow__Order__Mirabelle_OProf', 'c_COMBK'(
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ), 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 0.89/1.29 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'tc_fun'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ) ), 'v_Q____' ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.29 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.29 'tc_bool' ) ), hAPP( 'v_F', 'v_Q____' ) ),
% 0.89/1.29 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.89/1.29 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.29 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.89/1.29 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.29 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.29 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.29 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.29 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.29 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.89/1.29 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.29 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.89/1.29 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.29 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.89/1.29 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.29 'class_Orderings_Opreorder'( Y ) ) ],
% 0.89/1.29 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.29 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.29 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.29 'class_Orderings_Oorder'( Y ) ) ],
% 0.89/1.29 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.89/1.29 Y ) ) ],
% 0.89/1.29 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.89/1.29 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.89/1.29 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.89/1.29 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.89/1.29 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.89/1.29 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.89/1.29 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.89/1.29 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.89/1.29 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.89/1.29 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.89/1.29 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.89/1.29 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.89/1.29 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.89/1.29 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.89/1.29 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.89/1.29 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.89/1.29 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.89/1.29 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.89/1.29 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.89/1.29 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.89/1.29 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.89/1.29 ] .
% 0.89/1.29
% 0.89/1.29
% 0.89/1.29 percentage equality = 0.269632, percentage horn = 0.840198
% 0.89/1.29 This is a problem with some equality
% 0.89/1.29
% 0.89/1.29
% 0.89/1.29
% 0.89/1.29 Options Used:
% 0.89/1.29
% 0.89/1.29 useres = 1
% 0.89/1.29 useparamod = 1
% 0.89/1.29 useeqrefl = 1
% 0.89/1.29 useeqfact = 1
% 0.89/1.29 usefactor = 1
% 0.89/1.29 usesimpsplitting = 0
% 0.89/1.29 usesimpdemod = 5
% 0.89/1.29 usesimpres = 3
% 0.89/1.29
% 0.89/1.29 resimpinuse = 1000
% 0.89/1.29 resimpclauses = 20000
% 0.89/1.29 substype = eqrewr
% 0.89/1.29 backwardsubs = 1
% 0.89/1.29 selectoldest = 5
% 0.89/1.29
% 0.89/1.29 litorderings [0] = split
% 0.89/1.29 litorderings [1] = extend the termordering, first sorting on arguments
% 0.89/1.29
% 0.89/1.29 termordering = kbo
% 0.89/1.29
% 0.89/1.29 litapriori = 0
% 0.89/1.29 termapriori = 1
% 0.89/1.29 litaposteriori = 0
% 0.89/1.29 termaposteriori = 0
% 0.89/1.29 demodaposteriori = 0
% 0.89/1.29 ordereqreflfact = 0
% 0.89/1.29
% 0.89/1.29 litselect = negord
% 0.89/1.29
% 0.89/1.29 maxweight = 15
% 0.89/1.29 maxdepth = 30000
% 0.89/1.29 maxlength = 115
% 0.89/1.29 maxnrvars = 195
% 0.89/1.29 excuselevel = 1
% 0.89/1.29 increasemaxweight = 1
% 0.89/1.29
% 0.89/1.29 maxselected = 10000000
% 0.89/1.29 maxnrclauses = 10000000
% 0.89/1.29
% 0.89/1.29 showgenerated = 0
% 0.89/1.29 showkept = 0
% 0.89/1.29 showselected = 0
% 0.89/1.29 showdeleted = 0
% 0.89/1.29 showresimp = 1
% 0.89/1.29 showstatus = 2000
% 0.89/1.29
% 0.89/1.29 prologoutput = 1
% 0.89/1.29 nrgoals = 5000000
% 0.89/1.29 totalproof = 1
% 0.89/1.29
% 0.89/1.29 Symbols occurring in the translation:
% 0.89/1.29
% 0.89/1.29 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.89/1.29 . [1, 2] (w:1, o:103, a:1, s:1, b:0),
% 0.89/1.29 ! [4, 1] (w:0, o:73, a:1, s:1, b:0),
% 0.89/1.29 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.89/1.29 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.89/1.29 'class_Lattices_Oupper__semilattice' [40, 1] (w:1, o:78, a:1, s:1, b:
% 0.89/1.29 0),
% 0.89/1.29 'c_lessequals' [43, 3] (w:1, o:138, a:1, s:1, b:0),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup' [45, 3] (w:1, o:139, a:1
% 0.89/1.29 , s:1, b:0),
% 0.89/1.29 'c_Set_Oimage' [53, 4] (w:1, o:164, a:1, s:1, b:0),
% 1.71/2.08 'c_COMBB' [54, 5] (w:1, o:177, a:1, s:1, b:0),
% 1.71/2.08 'tc_bool' [57, 0] (w:1, o:33, a:1, s:1, b:0),
% 1.71/2.08 'tc_fun' [58, 2] (w:1, o:128, a:1, s:1, b:0),
% 1.71/2.08 'c_Lattices_Olower__semilattice__class_Oinf' [59, 3] (w:1, o:140, a:1
% 1.71/2.08 , s:1, b:0),
% 1.71/2.08 'class_Lattices_Odistrib__lattice' [60, 1] (w:1, o:79, a:1, s:1, b:0)
% 1.71/2.08 ,
% 1.71/2.08 'class_Lattices_Olower__semilattice' [61, 1] (w:1, o:80, a:1, s:1, b:
% 1.71/2.08 0),
% 1.71/2.08 'class_Lattices_Olattice' [62, 1] (w:1, o:81, a:1, s:1, b:0),
% 1.71/2.08 'c_Orderings_Obot__class_Obot' [64, 1] (w:1, o:82, a:1, s:1, b:0),
% 1.71/2.08 hAPP [65, 2] (w:1, o:129, a:1, s:1, b:0),
% 1.71/2.08 'c_Fun_Ofun__upd' [67, 5] (w:1, o:178, a:1, s:1, b:0),
% 1.71/2.08 'class_Orderings_Opreorder' [68, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.71/2.08 'c_HOL_Oord__class_Oless' [69, 3] (w:1, o:141, a:1, s:1, b:0),
% 1.71/2.08 'class_Orderings_Oorder' [70, 1] (w:1, o:83, a:1, s:1, b:0),
% 1.71/2.08 'class_HOL_Oord' [71, 1] (w:1, o:85, a:1, s:1, b:0),
% 1.71/2.08 'c_HOL_Ominus__class_Ominus' [72, 3] (w:1, o:142, a:1, s:1, b:0),
% 1.71/2.08 'class_Lattices_Obounded__lattice' [73, 1] (w:1, o:86, a:1, s:1, b:0)
% 1.71/2.08 ,
% 1.71/2.08 hBOOL [74, 1] (w:1, o:87, a:1, s:1, b:0),
% 1.71/2.08 'c_Relation_OImage' [79, 4] (w:1, o:163, a:1, s:1, b:0),
% 1.71/2.08 'c_Finite__Set_Ofold__graph' [80, 6] (w:1, o:186, a:1, s:1, b:0),
% 1.71/2.08 'c_Set_Oinsert' [81, 3] (w:1, o:144, a:1, s:1, b:0),
% 1.71/2.08 'class_Orderings_Obot' [82, 1] (w:1, o:88, a:1, s:1, b:0),
% 1.71/2.08 'c_HOL_Ouminus__class_Ouminus' [83, 1] (w:1, o:89, a:1, s:1, b:0),
% 1.71/2.08 'class_OrderedGroup_Opordered__ab__group__add' [84, 1] (w:1, o:90, a:
% 1.71/2.08 1, s:1, b:0),
% 1.71/2.08 'c_Relation_Oconverse' [86, 3] (w:1, o:143, a:1, s:1, b:0),
% 1.71/2.08 'class_Orderings_Olinorder' [89, 1] (w:1, o:91, a:1, s:1, b:0),
% 1.71/2.08 'c_Fun_Oinj__on' [90, 4] (w:1, o:165, a:1, s:1, b:0),
% 1.71/2.08 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [92, 4] (w:1
% 1.71/2.08 , o:166, a:1, s:1, b:0),
% 1.71/2.08 'c_in' [95, 1] (w:1, o:92, a:1, s:1, b:0),
% 1.71/2.08 'c_Equiv__Relations_Oequiv' [96, 3] (w:1, o:145, a:1, s:1, b:0),
% 1.71/2.08 'tc_prod' [97, 2] (w:1, o:130, a:1, s:1, b:0),
% 1.71/2.08 'c_Pair' [98, 4] (w:1, o:167, a:1, s:1, b:0),
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% 1.71/2.08 , s:1, b:0),
% 1.71/2.08 'c_COMBC' [104, 4] (w:1, o:168, a:1, s:1, b:0),
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% 1.71/2.08 ),
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% 1.71/2.08 'c_Equiv__Relations_Oquotient' [113, 3] (w:1, o:146, a:1, s:1, b:0),
% 1.71/2.08
% 1.71/2.08 'c_Nitpick_Ofold__graph_H' [114, 6] (w:1, o:187, a:1, s:1, b:0),
% 1.71/2.08 'class_OrderedGroup_Oab__group__add' [115, 1] (w:1, o:96, a:1, s:1
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% 1.71/2.08 'c_Finite__Set_Osetsum' [116, 4] (w:1, o:170, a:1, s:1, b:0),
% 1.71/2.08 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3' [118, 4] (w:1, o:171, a:1
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% 1.71/2.08 'c_fequal' [120, 1] (w:1, o:97, a:1, s:1, b:0),
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% 1.71/2.08 'c_COMBK' [122, 3] (w:1, o:148, a:1, s:1, b:0),
% 1.71/2.08 'tc_Arrow__Order__Mirabelle_Oalt' [123, 0] (w:1, o:56, a:1, s:1, b:0)
% 1.71/2.08 ,
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% 1.71/2.08 0),
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% 1.71/2.08 , o:149, a:1, s:1, b:0),
% 1.71/2.08 'c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1' [127, 3] (w:1
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% 1.71/2.08 172, a:1, s:1, b:0),
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% 20.21/20.64 , s:1, b:0),
% 20.21/20.64 'c_Arrow__Order__Mirabelle_Omktop' [143, 2] (w:1, o:136, a:1, s:1, b:
% 20.21/20.64 0),
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% 20.21/20.64 137, a:1, s:1, b:0),
% 20.21/20.64 'class_OrderedGroup_Ogroup__add' [145, 1] (w:1, o:98, a:1, s:1, b:0)
% 20.21/20.64 ,
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% 20.21/20.64 0),
% 20.21/20.64 'c_Arrow__Order__Mirabelle_OLin' [147, 0] (w:1, o:64, a:1, s:1, b:0)
% 20.21/20.64 ,
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% 20.21/20.64 0),
% 20.21/20.64 'c_ATP__Linkup_Osko__Set__XbexCI__1__1' [149, 3] (w:1, o:153, a:1, s:
% 20.21/20.64 1, b:0),
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% 20.21/20.64 3] (w:1, o:154, a:1, s:1, b:0),
% 20.21/20.64 'c_SetInterval_Oord_OatLeastLessThan' [154, 5] (w:1, o:181, a:1, s:1
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% 20.21/20.64 1, b:0),
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% 20.21/20.64 4] (w:1, o:176, a:1, s:1, b:0),
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% 20.21/20.64 1, b:0),
% 20.21/20.64 'c_SetInterval_Oord_OatMost' [171, 3] (w:1, o:159, a:1, s:1, b:0),
% 20.21/20.64 'c_SetInterval_Oord_OgreaterThan' [174, 3] (w:1, o:160, a:1, s:1, b:0
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% 20.21/20.64
% 20.21/20.64 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1' [176, 3] (w:1, o:162, a:1
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% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Starting Search:
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 9405
% 20.21/20.64 Kept: 2280
% 20.21/20.64 Inuse: 224
% 20.21/20.64 Deleted: 4
% 20.21/20.64 Deletedinuse: 0
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 20884
% 20.21/20.64 Kept: 4282
% 20.21/20.64 Inuse: 326
% 20.21/20.64 Deleted: 6
% 20.21/20.64 Deletedinuse: 1
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 28799
% 20.21/20.64 Kept: 6345
% 20.21/20.64 Inuse: 371
% 20.21/20.64 Deleted: 7
% 20.21/20.64 Deletedinuse: 2
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 39183
% 20.21/20.64 Kept: 8482
% 20.21/20.64 Inuse: 436
% 20.21/20.64 Deleted: 102
% 20.21/20.64 Deletedinuse: 97
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 50067
% 20.21/20.64 Kept: 11003
% 20.21/20.64 Inuse: 471
% 20.21/20.64 Deleted: 102
% 20.21/20.64 Deletedinuse: 97
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 60921
% 20.21/20.64 Kept: 13009
% 20.21/20.64 Inuse: 553
% 20.21/20.64 Deleted: 107
% 20.21/20.64 Deletedinuse: 97
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------