TSTP Solution File: SCT084-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT084-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 21:01:05 EDT 2022
% Result : Timeout 300.05s 300.50s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT084-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jul 2 05:30:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.05/1.44 *** allocated 10000 integers for termspace/termends
% 1.05/1.44 *** allocated 10000 integers for clauses
% 1.05/1.44 *** allocated 10000 integers for justifications
% 1.05/1.44 *** allocated 15000 integers for termspace/termends
% 1.05/1.44 *** allocated 22500 integers for termspace/termends
% 1.05/1.44 Bliksem 1.12
% 1.05/1.44
% 1.05/1.44
% 1.05/1.44 Automatic Strategy Selection
% 1.05/1.44
% 1.05/1.44 Clauses:
% 1.05/1.44 [
% 1.05/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.05/1.44 X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y, X ), Y ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), U ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.05/1.44 'c_Set_Oimage'( X, Y, Z ), T ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( X, Y, Z ), U ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_Relation_OImage'( X, Y, Z ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), U ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.05/1.44 'c_Relation_OImage'( X, Y, Z ), T ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 1.05/1.44 'c_Relation_OImage'( X, Y, Z ), U ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Relation_OImage'( X, Y, Z ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 T, 'c_COMBB'( 'c_Relation_OImage'( X, Y, Z ), U, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 , 'tc_fun'( Z, 'tc_bool' ), W ), W, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), X ) ],
% 1.05/1.44 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.05/1.44 X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.05/1.44 ), hAPP( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Otop__class_Otop'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), Y ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 1.05/1.44 hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ), U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), Z ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U, 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 1.05/1.44 'c_Product__Type_OSigma'( W, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' ), Z )
% 1.05/1.44 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.05/1.44 Y, 'c_Product__Type_OSigma'( V1, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' )
% 1.05/1.44 , T ), T, U ), 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ) ) ), ~(
% 1.05/1.44 'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 'c_COMBK'( V1, 'tc_fun'(
% 1.05/1.44 T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) )
% 1.05/1.44 ],
% 1.05/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), X ), T ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ) ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), T ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ) ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), T ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), X ), T ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), T ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), T ) ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), T ) ) ) ],
% 1.05/1.44 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y )
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, T, 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 Y, 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Z, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ), T ), T, 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), T ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), T ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ),
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), T ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), Z ), hAPP( 'c_HOL_Ominus__class_Ominus'( T, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), U ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( U, Z,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( X ), Y ), T ) ) ), ~( =( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), Z ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.44 Y ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ) ), X ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), T ), T ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, U, W, 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 T, 'c_COMBB'( 'c_Set_Oimage'( X, Y, Z ), U, 'tc_fun'( Y, 'tc_bool' ),
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ), W ), W, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( W ), V0 ), T ) ) ), ~( 'c_lessequals'( hAPP( U,
% 1.05/1.44 'c_ATP__Linkup_Osko__Fun__Ximage__INT__1__1'( T, U, V1, W, Y ) ), V1,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, V1, Y, Z ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), X ),
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( X ), X ), Y ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( U ), Y ), W ) ) ), ~( 'c_lessequals'(
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( W, X, U, 'tc_fun'(
% 1.05/1.44 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.05/1.44 ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 1.05/1.44 , 'tc_bool' ) ) ],
% 1.05/1.44 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 1.05/1.44 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.05/1.44 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X )
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Y ), Z ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Y ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.05/1.44 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), T ) ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_HOL_Ominus__class_Ominus'( X,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), Z ), Y ), ~( 'c_Finite__Set_Ofinite'( X, Y )
% 1.05/1.44 ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), Y ) ),
% 1.05/1.44 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.05/1.44 hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_HOL_Ominus__class_Ominus'( X,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ), T ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.05/1.44 hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_HOL_Ominus__class_Ominus'( X,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 Z, 'c_COMBB'( hAPP( 'c_Set_Oinsert'( X ), Y ), T, 'tc_fun'( X, 'tc_bool'
% 1.05/1.44 ), 'tc_fun'( X, 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ), =( Z
% 1.05/1.44 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.05/1.44 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, Y,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.05/1.44 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), Y ),
% 1.05/1.44 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), X ),
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, Y,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.05/1.44 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.05/1.44 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.05/1.44 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( T, 'tc_fun'( Z, 'tc_bool' ) ), U ) ), hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ),
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ 'c_Fun_Oinj__on'( X, hAPP( 'c_HOL_Ominus__class_Ominus'( Y, 'tc_fun'(
% 1.05/1.44 Z, 'tc_bool' ) ), T ), Z, U ), ~( 'c_Fun_Oinj__on'( X, Y, Z, U ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_HOL_Ominus__class_Ominus'( X,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), Z ), Y ), ~( 'c_Finite__Set_Ofinite'( X, Y )
% 1.05/1.44 ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 1.05/1.44 hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ), U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), Z ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U, 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), X ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.05/1.44 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.05/1.44 ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.05/1.44 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.05/1.44 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.05/1.44 ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.05/1.44 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.05/1.44 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.05/1.44 ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.05/1.44 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.05/1.44 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.05/1.44 ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.05/1.44 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.05/1.44 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), X ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.05/1.44 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), Y ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP(
% 1.05/1.44 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_Relation_OImage'( X, Y, Z ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, U, W, 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 T, 'c_COMBB'( 'c_Relation_OImage'( X, Y, Z ), U, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 , 'tc_fun'( Z, 'tc_bool' ), W ), W, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.05/1.44 Z, 'tc_bool' ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z
% 1.05/1.44 , T, U, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'c_COMBB'(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U ), U,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.05/1.44 hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) )
% 1.05/1.44 ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), =( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ) )
% 1.05/1.44 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP(
% 1.05/1.44 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.44 ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.05/1.44 U, X ) ), Y ), 'c_FuncSet_OPi'( W, 'c_COMBK'( T, 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 , U ), U, X ) ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X
% 1.05/1.44 ), Y ), Z ), 'tc_fun'( X, 'tc_bool' ) ), T ), hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( X, 'tc_bool' ) ), T ) ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( X, Y ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 1.05/1.44 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( T ), Y ), Z ) ) ) ],
% 1.05/1.44 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 1.05/1.44 hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 1.05/1.44 , U, X ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z
% 1.05/1.44 , 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_fun'( 'tc_prod'( T, Z ),
% 1.05/1.44 'tc_bool' ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), Y ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.05/1.44 'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 1.05/1.44 , Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U,
% 1.05/1.44 'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ),
% 1.05/1.44 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), X ) )
% 1.05/1.44 ), ~( 'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), T,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), X ) )
% 1.05/1.44 ), ~( 'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), T,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), T,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), X ) )
% 1.05/1.44 ), ~( 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), U ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.05/1.44 'c_Set_Oimage'( X, Y, Z ), T ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( X, Y, Z ), U ) ) ), ~( 'c_lessequals'( U, W, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ) ), ~( 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) )
% 1.05/1.44 , ~( 'c_Fun_Oinj__on'( X, W, Y, Z ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 1.05/1.44 'tc_prod'( Y, Y ) ), ~( 'c_Finite__Set_Ofinite'( X, 'tc_prod'( Y, Y ) ) )
% 1.05/1.44 ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( X, 'tc_prod'( Y, Y ) ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 1.05/1.44 'tc_prod'( Y, Y ) ) ) ],
% 1.05/1.44 [ ~( =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), Z ), X ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_Relation_OId__on'( X, Y ), 'c_Product__Type_OSigma'(
% 1.05/1.44 X, 'c_COMBK'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ), 'tc_fun'(
% 1.05/1.44 'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 1.05/1.44 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 1.05/1.44 ~( 'c_Relation_Orefl__on'( Y, X, Z ) ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 1.05/1.44 'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 1.05/1.44 'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ),
% 1.05/1.44 'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ),
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 Y, 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Z, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ), T ), T, 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ) ), X ) ],
% 1.05/1.44 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ),
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( 'c_HOL_Ominus__class_Ominus'( X,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), Z ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.05/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.05/1.44 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.05/1.44 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~( 'c_lessequals'( Y,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBB'(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'tc_fun'( Z, 'tc_bool' )
% 1.05/1.44 ), T, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), U ), U,
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'tc_fun'( Z, 'tc_bool' )
% 1.05/1.44 ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, U,
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_Relation_OImage'( X, Y, Z ), T ), U, 'tc_fun'(
% 1.05/1.44 Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Product__Type_OSigma'( W,
% 1.05/1.44 'c_COMBK'( U, 'tc_fun'( Z, 'tc_bool' ), Y ), Y, Z ), 'tc_fun'( 'tc_prod'(
% 1.05/1.44 Y, Z ), 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, X ), Z ), hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( T, X ), T ) ) ), =( Y, Z ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, X ), Y ), hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Z, X ), T ) ) ), =( Z, T ) ],
% 1.05/1.44 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.05/1.44 Z ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), Z ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, X ), Z ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP(
% 1.05/1.44 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP(
% 1.05/1.44 'c_Set_Oimage'( X, Y, Z ), T ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( X, Y, Z ), U ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( T, 'tc_fun'( Y, 'tc_bool' ) ), U ) ),
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'tc_fun'( Z, 'tc_bool' )
% 1.05/1.44 ), T, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), U ), U,
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'tc_fun'( Z, 'tc_bool' )
% 1.05/1.44 ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U,
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), U, 'tc_fun'( Z,
% 1.05/1.44 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Y, Z ) ), X ),
% 1.05/1.44 'c_FuncSet_OPi'( T, 'c_COMBK'( U, 'tc_fun'( Z, 'tc_bool' ), Y ), Y, Z ) )
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), Z ), X ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), Z ), Z ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), Y ), ~(
% 1.05/1.44 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), Y ) ),
% 1.05/1.44 'c_lessequals'( Y, Z, X ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), Z ), ~(
% 1.05/1.44 'c_lessequals'( Z, Y, X ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), Z ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 Z, 'tc_fun'( Y, 'tc_bool' ) ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), Y ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), Y ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), Z ), X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.05/1.44 X ) ), ~( =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y, X ), Z ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.44 ) ) ), =( Y, Z ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.44 ) ) ), =( Y, Z ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y,
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_prod'( T, Z ) ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( Y, Z ) ), ~( 'c_Finite__Set_Ofinite'( X, T ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.05/1.44 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 1.05/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ),
% 1.05/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ), 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.05/1.44 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'(
% 1.05/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ),
% 1.05/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ), 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBB'(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'(
% 1.05/1.44 Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), U ), U, 'tc_fun'( Z, 'tc_bool'
% 1.05/1.44 ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U, 'tc_fun'(
% 1.05/1.44 Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'( hAPP(
% 1.05/1.44 hAPP( 'c_Set_Oinsert'( X ), Y ), T ), Z, 'tc_fun'( X, 'tc_bool' ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 1.05/1.44 Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =(
% 1.05/1.44 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 1.05/1.44 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.05/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.05/1.44 'c_lessequals'( Z, Y, X ) ) ],
% 1.05/1.44 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.05/1.44 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.05/1.44 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.05/1.44 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.05/1.44 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.05/1.44 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.44 ), X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'( Y, X ), Z ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 1.05/1.44 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y )
% 1.05/1.44 , Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.05/1.44 X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 1.05/1.44 ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.05/1.44 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.05/1.44 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.05/1.44 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Y ), Z ), 'tc_fun'( X, 'tc_bool' ) ), T ), hAPP(
% 1.05/1.44 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), Z ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), X ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'(
% 1.05/1.44 hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ), X ), X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), Y, X ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), Z, X ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.05/1.44 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ), X ), ~(
% 1.05/1.44 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.05/1.44 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ), X ), ~(
% 1.05/1.44 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.05/1.44 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ), X ), ~(
% 1.05/1.44 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), Z, X ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), Y, X ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X
% 1.05/1.44 , 'tc_fun'( Y, 'tc_bool' ) ), Z ), X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X
% 1.05/1.44 , 'tc_fun'( Y, 'tc_bool' ) ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 Y, 'tc_fun'( Z, 'tc_bool' ) ), T ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.05/1.44 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.05/1.44 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 Y, 'tc_fun'( Z, 'tc_bool' ) ), T ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.05/1.44 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.05/1.44 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T, 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ) ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ) ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), Z ) ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), Z ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 T, 'c_COMBB'( 'c_Set_Oimage'( X, Y, Z ), U, 'tc_fun'( Y, 'tc_bool' ),
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ), W ), W, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_HOL_Ominus__class_Ominus'( X,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), Z ), Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), T ), Z ) ), Y ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_HOL_Ominus__class_Ominus'( X,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) )
% 1.05/1.44 , Y ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.05/1.44 , 'tc_fun'( Y, 'tc_bool' ) ), T ), Y ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'(
% 1.05/1.44 Z, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 T, 'c_COMBB'( 'c_Set_Ovimage'( X, Y, Z ), U, 'tc_fun'( Z, 'tc_bool' ),
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ), W ), W, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 Z, 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) )
% 1.05/1.44 , T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U ), U, 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ) ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) )
% 1.05/1.44 ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Y ), Y ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), X ), X ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'tc_fun'( 't_a', X ) ),
% 1.05/1.44 Z ), 'v_x' ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y
% 1.05/1.44 , 'v_x' ), X ), hAPP( Z, 'v_x' ) ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.05/1.44 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.05/1.44 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 1.05/1.44 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 1.05/1.44 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 1.05/1.44 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 1.05/1.44 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 1.05/1.44 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 1.05/1.44 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'(
% 1.05/1.44 Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), U ), U, 'tc_fun'( Z, 'tc_bool'
% 1.05/1.44 ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, U, 'tc_fun'(
% 1.05/1.44 Z, 'tc_bool' ) ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X
% 1.05/1.44 , 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), U ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) )
% 1.05/1.44 ],
% 1.05/1.44 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), hAPP( 'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( Y, 'tc_bool' ) ), T
% 1.05/1.44 ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.44 T, 'tc_fun'( Y, 'tc_bool' ) ), U ) ), hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.44 hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( X, Y, Z ), U ) ) ), ~( 'c_lessequals'( U, W, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ) ), ~( 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) )
% 1.05/1.44 , ~( 'c_Fun_Oinj__on'( X, W, Y, Z ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.44 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 1.05/1.44 , 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) ), ~(
% 1.05/1.44 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 1.05/1.44 'c_COMBC'( 'c_Set_Oinsert'( Y ), Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ) ), Y, 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 1.05/1.44 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.05/1.44 ~( 'c_lessequals'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), X ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'(
% 1.05/1.44 T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 1.05/1.44 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 1.05/1.44 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, U, 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 Z, 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) )
% 1.05/1.44 , T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U ), U, 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ), ~(
% 1.05/1.44 hBOOL( hAPP( X, T ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.05/1.44 hAPP( 'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( Y, 'tc_bool' ) ), T ) )
% 1.05/1.44 , T ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 1.05/1.44 'c_lessequals'( T, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, X ), Z ), hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( T, X ), U ) ) ), 'c_lessequals'( U, T, X )
% 1.05/1.44 , ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, X ), Z ), hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( T, X ), U ) ) ), 'c_lessequals'( Z, Y, X )
% 1.05/1.44 , ~( 'c_lessequals'( U, T, X ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( X, Y, Z ), U ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.05/1.44 'c_lessequals'( T, U, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 1.05/1.44 hAPP( 'c_Set_Oimage'( T, Z, U ), X ), hAPP( 'c_Set_Oimage'( T, Z, U ), Y
% 1.05/1.44 ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 1.05/1.44 'c_lessequals'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( T, Y ), 'tc_fun'( U,
% 1.05/1.44 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z,
% 1.05/1.44 T, X, 'tc_fun'( U, 'tc_bool' ) ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_Relation_OImage'( X, Y, Z ), T ), hAPP(
% 1.05/1.44 'c_Relation_OImage'( U, Y, Z ), W ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.05/1.44 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.05/1.44 , U, 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 1.05/1.44 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 1.05/1.44 ~( 'c_Equiv__Relations_Oequiv'( Y, X, Z ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.05/1.44 'c_lessequals'( Z, Y, X ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ominus__class_Ominus'( Y, X
% 1.05/1.44 ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.44 Y, X ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( T ), Y ), U ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, T, 'tc_fun'(
% 1.05/1.44 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( T ), hAPP( U, Y ) ), hAPP( W, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_fun'( X, T ) ), U ), 'c_FuncSet_OPi'( Z, W, X, T ) ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_fun'( U, X ) ), Y ), 'c_FuncSet_OPi'( W, T, U, X ) ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( U ), Z ), W ) ) ), ~( 'c_lessequals'( hAPP( 'c_Set_Oimage'(
% 1.05/1.44 Y, U, X ), W ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.05/1.44 , X ), X ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.05/1.44 , X ), X ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.05/1.44 hAPP( 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), X
% 1.05/1.44 ), hAPP( 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool'
% 1.05/1.44 ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ), 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ), 'tc_bool' ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 1.05/1.44 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 1.05/1.44 Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, hAPP(
% 1.05/1.44 'c_Set_Oimage'( Z, T, Y ), U ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 1.05/1.44 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, T, X ), hAPP(
% 1.05/1.44 Z, U ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( Y, Z ), 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( 'c_lessequals'( X,
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( W, Y, U, 'tc_fun'(
% 1.05/1.44 T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 X, Y, Z, 'tc_fun'( T, 'tc_bool' ) ), hAPP( Y, U ), 'tc_fun'( T, 'tc_bool'
% 1.05/1.44 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( X, Y ),
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, X, U, 'tc_fun'(
% 1.05/1.44 Z, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 T, X, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U )
% 1.05/1.44 , Y ), T ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 1.05/1.44 Y, Z, T, 'tc_fun'( U, 'tc_bool' ), W ), W, 'tc_fun'( U, 'tc_bool' ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 1.05/1.44 'c_Set_Oimage'( Z, W, T ), X ), Y, T, 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 1.05/1.44 'c_Set_Oimage'( X, Y, Z ), T ), U, Z, 'tc_fun'( W, 'tc_bool' ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'c_COMBB'( U, X
% 1.05/1.44 , Z, 'tc_fun'( W, 'tc_bool' ), Y ), Y, 'tc_fun'( W, 'tc_bool' ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), Y ),
% 1.05/1.44 'c_Transitive__Closure_Otrancl'( Z, X ) ) ), ~( 'c_lessequals'( T, Z,
% 1.05/1.44 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_prod'( X, X ) ), Y ), 'c_Transitive__Closure_Otrancl'( T, X )
% 1.05/1.44 ) ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( 'c_Relation_ODomain'( X, Y, Z ), Y ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( X, 'tc_prod'( Y, Z ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Ovimage'(
% 1.05/1.44 X, Y, Z ), T ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( 'c_Relation_ORange'( X, Y, Z ), Z ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( X, 'tc_prod'( Y, Z ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Y, Y ), Z
% 1.05/1.44 ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), Z ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( Z ), T ), X ) ), ~( 'c_lessequals'( X, hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Z ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), X ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.05/1.44 , hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) )
% 1.05/1.44 ), hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), X ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), hAPP(
% 1.05/1.44 'c_Set_Ovimage'( X, Y, Z ), U ), 'tc_fun'( Y, 'tc_bool' ) ), ~(
% 1.05/1.44 'c_lessequals'( T, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), X ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Y ), Z ), 'tc_fun'( X, 'tc_bool' ) ), T ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 1.05/1.44 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, 'tc_fun'( 't_a', X ) ), Z ), 'v_x' ),
% 1.05/1.44 hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP( Y, 'v_x' ), X ), hAPP( Z, 'v_x'
% 1.05/1.44 ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.05/1.44 , hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Z,
% 1.05/1.44 'tc_bool' ) ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.05/1.44 , hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'tc_fun'( Z,
% 1.05/1.44 'tc_bool' ) ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.05/1.44 X ), ~( 'c_lessequals'( Y, hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.05/1.44 X ), ~( 'c_lessequals'( Y, hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( T, X ), Z ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), T, X ), ~(
% 1.05/1.44 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), T, X ), ~(
% 1.05/1.44 'c_lessequals'( Z, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.05/1.44 X ), ~( 'c_lessequals'( Y, hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.05/1.44 X ), ~( 'c_lessequals'( Y, hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( T, X ), Z ), X ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.05/1.44 'c_List_Osko__Equiv__Relations__XquotientE__1__1'( Y, Z, T, X ) ), Y ) )
% 1.05/1.44 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Z ),
% 1.05/1.44 'c_Equiv__Relations_Oquotient'( Y, T, X ) ) ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ),
% 1.05/1.44 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z
% 1.05/1.44 , T, U, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'c_COMBB'(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U ), U,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z
% 1.05/1.44 , T, U, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'c_COMBB'(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U ), U,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 1.05/1.44 , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'(
% 1.05/1.44 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), X ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.05/1.44 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ) ),
% 1.05/1.44 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), Z ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X
% 1.05/1.44 ), Y ), Z ), 'tc_fun'( X, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Y ), hAPP( 'c_HOL_Ominus__class_Ominus'( Z,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y )
% 1.05/1.44 , T ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ), ~( 'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.05/1.44 , 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), T,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( T, 'tc_bool' )
% 1.05/1.44 ), X ), Y ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Z, 'tc_bool' )
% 1.05/1.44 ), T ), Y ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ), ~( 'c_lessequals'( X, hAPP(
% 1.05/1.44 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ), 'c_lessequals'( X, hAPP(
% 1.05/1.44 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X
% 1.05/1.44 ), Y ), Z ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X
% 1.05/1.44 ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ),
% 1.05/1.44 Z ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.05/1.44 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.44 Y, X ), Z ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( Z, X ), Y ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Z, 'tc_bool' )
% 1.05/1.44 ), U ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.05/1.44 'c_Set_Ovimage'( X, Y, Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 1.05/1.44 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), Z ), Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), Z ), Y ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ) ],
% 1.05/1.44 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 1.05/1.44 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.05/1.44 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.05/1.44 ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.05/1.44 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.05/1.44 ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.05/1.44 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.05/1.44 ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.05/1.44 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.05/1.44 ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'( T, Z,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T )
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( X ), Y ), hAPP( 'c_HOL_Ominus__class_Ominus'( T, 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), Z ) ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( X ), Y ), hAPP( 'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), T ) ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( X ), Y ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( T,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( X ), Y ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), T ) ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( X, 'tc_bool' ) ), T ) ) ),
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.05/1.44 X ), Y ), Z ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( X, 'tc_bool' ) ), T ) ) ),
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.05/1.44 X ), Y ), Z ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 1.05/1.44 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 1.05/1.44 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 1.05/1.44 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 1.05/1.44 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 1.05/1.44 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 1.05/1.44 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.05/1.44 ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.05/1.44 , Z, X ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) )
% 1.05/1.44 ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.05/1.44 ), =( Y, Z ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( 'c_lessequals'(
% 1.05/1.44 Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( 'c_lessequals'(
% 1.05/1.44 Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.05/1.44 ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.05/1.44 ), =( Z, Y ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), ~( 'c_lessequals'(
% 1.05/1.44 Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, X ), Z ), hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( T, X ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), T ), U ) ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, X ), Z ), hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( T, X ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), T ), U ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'( T, Z, X )
% 1.05/1.44 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( 'c_lessequals'( Y, T, X
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, X
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'( Y, T, X )
% 1.05/1.44 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ) ), T ) ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ) ), T ) ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), 'c_lessequals'( Z, Y, X ),
% 1.05/1.44 ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), 'c_lessequals'( Z, Y, X ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.05/1.44 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( 'c_lessequals'( Z, Y, X
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.05/1.44 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), 'c_lessequals'( Z, Y, X ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.05/1.44 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( X ), X ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( X ), X ), Y ), Y ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ),
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( X ) ), Y ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ),
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ),
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ) ), X ) ],
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), Y ), Y ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.05/1.44 'c_COMBC'( 'c_in'( 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 1.05/1.44 'tc_bool' ), X ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_in'(
% 1.05/1.44 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), Y ) ), 'v_x' )
% 1.05/1.44 , hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( 't_a',
% 1.05/1.44 'tc_bool' ) ), Y ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( X, Y, Y ), Z ), Z ), ~( 'c_Fun_Oinj__on'( X,
% 1.05/1.44 Z, Y, Y ) ), ~( 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Y ), Z ), Z,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.05/1.44 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, hAPP(
% 1.05/1.44 'c_Set_Oimage'( X, Z, Z ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), T ), hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z
% 1.05/1.44 , 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), T ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ), U ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.05/1.44 'c_Set_Oimage'( X, Y, Z ), T ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( X, Y, Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( X, Y, Z ), U ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.05/1.44 'c_lessequals'( T, U, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'(
% 1.05/1.44 X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.05/1.44 hAPP( 'c_Set_Oimage'( T, Z, U ), X ), hAPP( 'c_Set_Oimage'( T, Z, U ), Y
% 1.05/1.44 ), 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( T,
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.44 T, 'tc_fun'( Y, 'tc_bool' ) ), U ) ), hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.44 hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( X, Y, Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.05/1.44 ~( 'c_lessequals'( X, hAPP( 'c_Relation_OImage'( Z, Y, Y ), X ), 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Ovimage'( X, Y, Z ),
% 1.05/1.44 T ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Z
% 1.05/1.44 , 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'(
% 1.05/1.44 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( Z, T, Y, X ), Z, X, Y
% 1.05/1.44 ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), 'c_Relation_ORange'(
% 1.05/1.44 T, X, Y ) ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'(
% 1.05/1.44 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'( Z, T, Y, X ), Z, X, Y ) )
% 1.05/1.44 , T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), 'c_Relation_ORange'( T,
% 1.05/1.44 X, Y ) ) ) ) ],
% 1.05/1.44 [ 'c_Fun_Oinj__on'( hAPP( 'c_COMBC'( 'c_Set_Oinsert'( X ), X, 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ) ],
% 1.05/1.44 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( Z, T ) ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ),
% 1.05/1.44 ~( 'c_lessequals'( hAPP( 'c_Set_Oimage'( U, T, Y ), Z ), X, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( U, Z, T, Y ) ), ~( 'c_lessequals'(
% 1.05/1.44 hAPP( 'c_Set_Oimage'( W, Y, T ), X ), Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 1.05/1.44 ~( 'c_Fun_Oinj__on'( W, X, Y, T ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( X, Y ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.05/1.44 'c_Product__Type_OSigma'( Z, 'c_COMBK'( X, 'tc_fun'( Y, 'tc_bool' ), T )
% 1.05/1.44 , T, Y ), 'tc_prod'( T, Y ) ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( X, Y ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.05/1.44 'c_Product__Type_OSigma'( X, 'c_COMBK'( Z, 'tc_fun'( T, 'tc_bool' ), Y )
% 1.05/1.44 , Y, T ), 'tc_prod'( Y, T ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'(
% 1.05/1.44 Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool'
% 1.05/1.44 ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'tc_fun'( Z, 'tc_bool' )
% 1.05/1.44 ), T, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), X ), X,
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP(
% 1.05/1.44 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), T ) ), hAPP(
% 1.05/1.44 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( X, Y, Z ), T ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.05/1.44 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), Y, Z ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), U, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), ~( 'c_lessequals'( T, hAPP( 'c_Set_Oimage'( X, Y, Z ), U
% 1.05/1.44 ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ), =( X, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), Z ), 'c_Equiv__Relations_Oquotient'( T, U, Y ) ) ) ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.05/1.44 'c_Equiv__Relations_Oquotient'( T, U, Y ) ) ) ), ~(
% 1.05/1.44 'c_Equiv__Relations_Oequiv'( T, U, Y ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( 'tc_prod'( X, Y ),
% 1.05/1.44 'tc_bool' ) ), 'c_Product__Type_OSigma'( Z, 'c_COMBK'(
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ), X ), X, Y ) ), 'c_Product__Type_OSigma'( hAPP(
% 1.05/1.44 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ),
% 1.05/1.44 'c_COMBK'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ),
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ), X ), X, Y ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( 'tc_prod'( X, Y ),
% 1.05/1.44 'tc_bool' ) ), 'c_Product__Type_OSigma'( 'c_Orderings_Otop__class_Otop'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), X ),
% 1.05/1.44 X, Y ) ), 'c_Product__Type_OSigma'( 'c_Orderings_Otop__class_Otop'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( hAPP(
% 1.05/1.44 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ), X ), X, Y ) ) ],
% 1.05/1.44 [ =( 'c_Finite__Set_Ocard'( hAPP( 'c_HOL_Ominus__class_Ominus'( X,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Y ),
% 1.05/1.44 'c_Finite__Set_Ocard'( X, Y ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), X )
% 1.05/1.44 ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( Y, T, X ), hAPP( 'c_HOL_Ominus__class_Ominus'( U,
% 1.05/1.44 'tc_fun'( T, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( T ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ) ) ),
% 1.05/1.44 ~( 'c_Fun_Oinj__on'( Y, hAPP( hAPP( 'c_Set_Oinsert'( T ), Z ), U ), T, X
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y, U
% 1.05/1.44 ), hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( X, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.05/1.44 X, Y, U ), hAPP( 'c_HOL_Ominus__class_Ominus'( T, 'tc_fun'( Y, 'tc_bool'
% 1.05/1.44 ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ) ), ~(
% 1.05/1.44 'c_Fun_Oinj__on'( X, T, Y, U ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'(
% 1.05/1.44 'c_COMBC'( 'c_in'( 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 1.05/1.44 'tc_bool' ), Y, 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool'
% 1.05/1.44 ), X ), X, 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_x' ), hAPP( hAPP( 'c_in'(
% 1.05/1.44 't_a' ), 'v_x' ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 1.05/1.44 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, U, W, 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 T, 'c_COMBB'( 'c_Set_Oimage'( X, Y, Z ), U, 'tc_fun'( Y, 'tc_bool' ),
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ), W ), W, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( W ), V0 ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( W ),
% 1.05/1.44 'c_ATP__Linkup_Osko__Fun__Ximage__INT__1__1'( T, U, V1, W, Y ) ), T ) ),
% 1.05/1.44 ~( 'c_Fun_Oinj__on'( X, V1, Y, Z ) ) ],
% 1.05/1.44 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( Z, T ) ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ),
% 1.05/1.44 ~( 'c_Fun_Oinj__on'( U, Z, T, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.05/1.44 'tc_fun'( T, Y ) ), U ), 'c_FuncSet_OPi'( Z, 'c_COMBK'( X, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ), T ), T, Y ) ) ) ), ~( 'c_Fun_Oinj__on'( W, X, Y, T ) ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Y, T ) ), W ), 'c_FuncSet_OPi'( X,
% 1.05/1.44 'c_COMBK'( Z, 'tc_fun'( T, 'tc_bool' ), Y ), Y, T ) ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Relation_OImage'( X, Y, Z ), T ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'c_COMBB'(
% 1.05/1.44 'c_Relation_OImage'( X, Y, Z ), hAPP( 'c_COMBC'( 'c_Set_Oinsert'( Y ), Y
% 1.05/1.44 , 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), Y ), Y, 'tc_fun'( Z, 'tc_bool' )
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ =( 'c_Finite__Set_Ocard'( 'c_Product__Type_OSigma'( hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ), 'c_COMBK'( Z, 'tc_fun'( T, 'tc_bool' ), X ), X, T ),
% 1.05/1.44 'tc_prod'( X, T ) ), 'c_Finite__Set_Ocard'( Z, T ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'c_COMBB'(
% 1.05/1.44 'c_Set_Ovimage'( X, Y, Z ), hAPP( 'c_COMBC'( 'c_Set_Oinsert'( Z ), Z,
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z
% 1.05/1.44 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ =( X, hAPP( 'c_Relation_OImage'( Y, Z, Z ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Z ), 'c_List_Osko__Equiv__Relations__XquotientE__1__1'(
% 1.05/1.44 T, X, Y, Z ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.05/1.44 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, 'tc_bool' ) ), X ),
% 1.05/1.44 'c_Equiv__Relations_Oquotient'( T, Y, Z ) ) ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), X ), 'c_Equiv__Relations_Oquotient'( Z, T, Y
% 1.05/1.44 ) ) ) ), ~( 'c_lessequals'( T, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z
% 1.05/1.44 , 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 1.05/1.44 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.05/1.44 'c_Finite__Set_Ocard'( hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ), Y ) ), 'c_Finite__Set_Ocard'( X, Y ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( Y ), T ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y )
% 1.05/1.44 , Z ), X ) ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.05/1.44 'c_Finite__Set_Ocard'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Y ) ),
% 1.05/1.44 'c_Finite__Set_Ocard'( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z )
% 1.05/1.44 , X ) ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_Relation_OImage'( X, Y, Y ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ), hAPP( 'c_Relation_OImage'( X, Y, Y ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_prod'( Y, Y ) ), 'c_Pair'( Z, T, Y, Y ) ), X ) ) ), ~(
% 1.05/1.44 'c_Equiv__Relations_Oequiv'( U, X, Y ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.05/1.44 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ), hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 'c_Relation_OImage'(
% 1.05/1.44 T, X, X ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), hAPP( 'c_Relation_OImage'( T, X, X ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ) ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.05/1.44 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), U ) ) ), ~(
% 1.05/1.44 'c_lessequals'( hAPP( 'c_Relation_OImage'( T, X, X ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ), hAPP( 'c_Relation_OImage'( T, X, X ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ), 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.05/1.44 'c_Equiv__Relations_Oequiv'( U, T, X ) ) ],
% 1.05/1.44 [ =( X, Y ), =( Z, X ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.05/1.44 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), T ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, X ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Z, X,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Arrow__Order__Mirabelle_Obelow'( T, Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Z, X,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , T ) ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, T ), =( T, Y ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, X ),
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, X ) ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 1.05/1.44 Y, Z, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ), Y ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Z, T ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 1.05/1.44 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, U ), =( X, U ), =(
% 1.05/1.44 X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( T, Y ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, T ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, T ) ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, Y ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, Y ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 1.05/1.44 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( T, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 1.05/1.44 [ =( X, Y ), =( Y, X ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.05/1.44 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, X ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, Y, X ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 1.05/1.44 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( U, Y,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , Z ) ) ), =( Y, T ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.05/1.44 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 1.05/1.44 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, U,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , Z ) ) ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, Y ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , Z ) ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, X,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , Z ) ) ), =( T, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, X ),
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, X ) ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 1.05/1.44 Z, T, X ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, X ),
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , Z ) ) ],
% 1.05/1.44 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 1.05/1.44 Z, T, Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, Y ),
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , Z ) ), =( X, T ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( Y, T ), =( X, T ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, U, T ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( U, T ) ],
% 1.05/1.44 [ =( X, Y ), =( X, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.05/1.44 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), T ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, Y ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Z,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Arrow__Order__Mirabelle_Oabove'( T, X, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Z,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , T ) ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), =( X, T ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, T ),
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, Y, T ) ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 1.05/1.44 Y, Z, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ), Y ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Z, T ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Relation_OImage'( Z, X,
% 1.05/1.44 X ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 1.05/1.44 'c_Equiv__Relations_Oequiv'( T, Z, X ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ),
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( Y ), X ), T ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 1.05/1.44 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 1.05/1.44 , hAPP( hAPP( 'c_Set_Oinsert'( T ), hAPP( Z, Y ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( Y ), X ), T ) ) ],
% 1.05/1.44 [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), hAPP(
% 1.05/1.44 'c_Set_Ovimage'( X, T, U ), hAPP( hAPP( 'c_Set_Oinsert'( U ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ) ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( 'c_Finite__Set_Ocard'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.05/1.44 X ), 'c_Finite__Set_Ocard'( Z, X ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.05/1.44 Y ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.05/1.44 [ =( 'c_Equiv__Relations_Oquotient'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y
% 1.05/1.44 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Z, X )
% 1.05/1.44 , 'c_Equiv__Relations_Oquotient'( hAPP( hAPP( 'c_Set_Oinsert'( X ), T ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Z, X ) ),
% 1.05/1.44 ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X )
% 1.05/1.44 ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), U ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( X ), Y ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U
% 1.05/1.44 , Z, X ) ) ],
% 1.05/1.44 [ ~( =( 'c_Equiv__Relations_Oquotient'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.05/1.44 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Z, X
% 1.05/1.44 ), 'c_Equiv__Relations_Oquotient'( hAPP( hAPP( 'c_Set_Oinsert'( X ), T )
% 1.05/1.44 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Z, X ) )
% 1.05/1.44 ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( X ), Y ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, Z, X ) ),
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) )
% 1.05/1.44 , Z ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Z ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Y ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.05/1.44 T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Z, T ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.05/1.44 , Y ), Z ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.05/1.44 , Y ), Z ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.05/1.44 , Y ), Z ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z ) ) ) )
% 1.05/1.44 ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.05/1.44 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.05/1.44 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T ) ), ~(
% 1.05/1.44 hBOOL( hAPP( Z, T ) ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ) ), =( Y, Z ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.05/1.44 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.05/1.44 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 X ), Z ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Y ), T ) ) ) ],
% 1.05/1.44 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'c_COMBK'( Z, X
% 1.05/1.44 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBK'(
% 1.05/1.44 Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =(
% 1.05/1.44 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Z ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.05/1.44 'tc_bool' ) ) ) ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), T ) ) ) ],
% 1.05/1.44 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Z ), U ), Y ), Z, T ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, U, 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 Z, 'c_COMBB'( hAPP( 'c_Set_Oinsert'( X ), Y ), T, 'tc_fun'( X, 'tc_bool'
% 1.05/1.44 ), 'tc_fun'( X, 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( T ), Z ), X ), Y ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBB'(
% 1.05/1.44 hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ), U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), Z ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, U, 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), X ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.05/1.44 hAPP( 'c_Set_Oinsert'( Y ), Z ), X ), Y ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), X
% 1.05/1.44 ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.05/1.44 'c_Relation_OImage'( Y, X, X ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ),
% 1.05/1.44 'c_Equiv__Relations_Oquotient'( T, Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( X ), Z ), T ) ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Y, T ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Y, T ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Z, U ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Z, U ) ],
% 1.05/1.44 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.05/1.44 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 1.05/1.44 T ), U ) ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), hAPP( X, T ) ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( X, Y, Z ), U ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBB'(
% 1.05/1.44 hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ), U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), Z ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, U, 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Y ) ) ],
% 1.05/1.44 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.05/1.44 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.05/1.44 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X )
% 1.05/1.44 , Y ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.05/1.44 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), hAPP( Y, Z ) ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( Y, T, X ), U ) ), hAPP( 'c_Set_Oimage'( Y, T, X ), U ) )
% 1.05/1.44 , ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ],
% 1.05/1.44 [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z,
% 1.05/1.44 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.05/1.44 Z ), W ), Y ) ) ), =( X, U ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, U, W, 'tc_fun'(
% 1.05/1.44 Z, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 T, 'c_COMBB'( 'c_Set_Ovimage'( X, Y, Z ), U, 'tc_fun'( Z, 'tc_bool' ),
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ), W ), W, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Oabove'( X, Y, Z ) ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.05/1.44 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, Z ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Obelow'( X, Y, Z ) ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.05/1.44 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, Z ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( X, T ), =( Y, T ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, U ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 1.05/1.44 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 1.05/1.44 Z, Y, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, T ),
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, X,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , Z ) ), =( X, T ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 1.05/1.44 Z, Y, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, T ),
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , Z ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, T,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , Z ) ) ), =( X, T ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, T ),
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, Y, T ) ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, T ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , Z ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 1.05/1.44 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, U ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , Z ) ) ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 1.05/1.44 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , Z ) ) ), =( X, U ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.05/1.44 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 1.05/1.44 [ =( X, Y ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.05/1.44 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, Y ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, Y ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 1.05/1.44 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( U, Y,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, Y ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, X, Y ) ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, Y ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, Y ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 1.05/1.44 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), =( Y, T ), =(
% 1.05/1.44 X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ) ), 'c_COMBK'( X, 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ) ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OProf' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.05/1.44 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Relation_OImage'( Z, T,
% 1.05/1.44 X ), hAPP( hAPP( 'c_Set_Oinsert'( T ), U ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), 'c_Pair'( U, Y, T, X ) )
% 1.05/1.44 , Z ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 1.05/1.44 ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), hAPP(
% 1.05/1.44 'c_Relation_OImage'( U, X, Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 1.05/1.44 T, U, Z, Z ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), Y ) ) )
% 1.05/1.44 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_Equiv__Relations_Oquotient'(
% 1.05/1.44 V0, W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, 'tc_bool' )
% 1.05/1.44 ), X ), 'c_Equiv__Relations_Oquotient'( V0, W, Z ) ) ) ), ~(
% 1.05/1.44 'c_Equiv__Relations_Oequiv'( V0, W, Z ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), Z ), 'c_Equiv__Relations_Oquotient'( U, W, X ) ) ) ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Z ),
% 1.05/1.44 'c_Equiv__Relations_Oquotient'( U, W, X ) ) ) ), ~(
% 1.05/1.44 'c_Equiv__Relations_Oequiv'( U, W, X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.05/1.44 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), W ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'(
% 1.05/1.44 'c_COMBC'( 'c_in'( 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 1.05/1.44 'tc_bool' ), Y, 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool'
% 1.05/1.44 ), X ), X, 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_x' ), hAPP( hAPP( 'c_in'(
% 1.05/1.44 't_a' ), 'v_x' ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 1.05/1.44 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Relation_OImage'( X, Y, Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) )
% 1.05/1.44 , hAPP( 'c_Relation_OImage'( X, Y, Y ), hAPP( hAPP( 'c_Set_Oinsert'( Y )
% 1.05/1.44 , T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ),
% 1.05/1.44 ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, Y ) ), 'c_Pair'( Z, T, Y, Y )
% 1.05/1.44 ), X ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Y ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Relation_OImage'( X, Y, Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) )
% 1.05/1.44 , hAPP( 'c_Relation_OImage'( X, Y, Y ), hAPP( hAPP( 'c_Set_Oinsert'( Y )
% 1.05/1.44 , T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ),
% 1.05/1.44 ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, Y ) ), 'c_Pair'( Z, T, Y, Y )
% 1.05/1.44 ), X ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Y ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', Z ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , hAPP( 'v_F', W ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( W,
% 1.05/1.44 'v_sko__local__Xpairwise__neutrality__1'( Z, W, X, T, Y, U ) ) ) ) ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , hAPP( Z, 'v_sko__local__Xpairwise__neutrality__1'( Z, W, X, T, Y, U ) )
% 1.05/1.44 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ) ), W ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.05/1.44 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( T, U ), =( X, Y ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', Z ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , hAPP( 'v_F', W ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z,
% 1.05/1.44 'v_sko__local__Xpairwise__neutrality__1'( W, Z, T, X, U, Y ) ) ) ) ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , hAPP( W, 'v_sko__local__Xpairwise__neutrality__1'( W, Z, T, X, U, Y ) )
% 1.05/1.44 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.05/1.44 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), W ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( X, Y ), =( T, U ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', Z ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , hAPP( 'v_F', W ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( W,
% 1.05/1.44 'v_sko__local__Xpairwise__neutrality__1'( Z, W, X, T, Y, U ) ) ) ), hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , hAPP( Z, 'v_sko__local__Xpairwise__neutrality__1'( Z, W, X, T, Y, U ) )
% 1.05/1.44 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ) ), W ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.05/1.44 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( T, U ), =( X, Y ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', Z ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , hAPP( 'v_F', W ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z,
% 1.05/1.44 'v_sko__local__Xpairwise__neutrality__1'( W, Z, T, X, U, Y ) ) ) ), hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , hAPP( W, 'v_sko__local__Xpairwise__neutrality__1'( W, Z, T, X, U, Y ) )
% 1.05/1.44 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.05/1.44 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), W ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( X, Y ), =( T, U ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', Z ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , hAPP( 'v_F', W ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( W, 'v_sko__local__X2__1'( Z
% 1.05/1.44 , W, X, T, Y, U ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X2__1'( Z
% 1.05/1.44 , W, X, T, Y, U ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ) ), W ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.05/1.44 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( Y, T ), =( X, U ), =( T, U )
% 1.05/1.44 , =( X, Y ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', Z ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , hAPP( 'v_F', W ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X2__1'( W
% 1.05/1.44 , Z, T, X, U, Y ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( W, 'v_sko__local__X2__1'( W
% 1.05/1.44 , Z, T, X, U, Y ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.05/1.44 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), W ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( U, X ), =( T, Y ), =( X, Y )
% 1.05/1.44 , =( T, U ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', Z ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , hAPP( 'v_F', W ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( W, 'v_sko__local__X2__1'( Z
% 1.05/1.44 , W, X, T, Y, U ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X2__1'( Z
% 1.05/1.44 , W, X, T, Y, U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ) ), W ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.05/1.44 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( Y, T ), =( X, U ), =( T, U )
% 1.05/1.44 , =( X, Y ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', Z ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , hAPP( 'v_F', W ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X2__1'( W
% 1.05/1.44 , Z, T, X, U, Y ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( W, 'v_sko__local__X2__1'( W
% 1.05/1.44 , Z, T, X, U, Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.44 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.05/1.44 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), W ),
% 1.05/1.44 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( U, X ), =( T, Y ), =( X, Y )
% 1.05/1.44 , =( T, U ) ],
% 1.05/1.44 [ ~( =( hAPP( 'c_Relation_OImage'( X, Y, Y ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ), hAPP( 'c_Relation_OImage'( X, Y, Y ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, Y ) ),
% 1.05/1.44 'c_Pair'( Z, T, Y, Y ) ), X ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ),
% 1.05/1.44 U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Y ) ) ],
% 1.05/1.44 [ ~( =( hAPP( 'c_Relation_OImage'( X, Y, Y ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ), hAPP( 'c_Relation_OImage'( X, Y, Y ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Y ) ), hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( 'tc_prod'( Y, Y ) ), 'c_Pair'( Z, T, Y, Y ) ), X ) )
% 1.05/1.44 , ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( Y ), Z ), U ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Relation_OImage'( X, Y, Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) )
% 1.05/1.44 , hAPP( 'c_Relation_OImage'( X, Y, Y ), hAPP( hAPP( 'c_Set_Oinsert'( Y )
% 1.05/1.44 , T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ),
% 1.05/1.44 ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, Y ) ), 'c_Pair'( Z, T, Y, Y )
% 1.05/1.44 ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), U ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( Y ), Z ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U
% 1.05/1.44 , X, Y ) ) ],
% 1.05/1.44 [ ~( =( hAPP( 'c_Relation_OImage'( X, Y, Y ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ), hAPP( 'c_Relation_OImage'( X, Y, Y ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), U ) ) ),
% 1.05/1.44 ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), U ) ) ), ~(
% 1.05/1.44 'c_Equiv__Relations_Oequiv'( U, X, Y ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.05/1.44 'tc_prod'( Y, Y ) ), 'c_Pair'( Z, T, Y, Y ) ), X ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', Z ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , hAPP( 'v_F', T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.44 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.44 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X3__1'( T
% 1.05/1.44 , Z, Y, X ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( T, 'v_sko__local__X3__1'( T
% 1.05/1.45 , Z, Y, X ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.45 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.05/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), T ),
% 1.05/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( Y, X ) ],
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', Z ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , hAPP( 'v_F', T ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( T, 'v_sko__local__X3__1'( Z
% 1.05/1.45 , T, X, Y ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X3__1'( Z
% 1.05/1.45 , T, X, Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.45 'tc_bool' ) ) ), T ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.05/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.05/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( X, Y ) ],
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', Z ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , hAPP( 'v_F', T ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X3__1'( T
% 1.05/1.45 , Z, Y, X ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( T, 'v_sko__local__X3__1'( T
% 1.05/1.45 , Z, Y, X ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.45 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.05/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), T ),
% 1.05/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( Y, X ) ],
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Finite__Set_Ocard'( X, Y ) )
% 1.05/1.45 ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ), =( X,
% 1.05/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Finite__Set_Ocard'(
% 1.05/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ) ]
% 1.05/1.45 ,
% 1.05/1.45 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.45 'tc_nat' ) ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ), =( X,
% 1.05/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.45 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 1.05/1.45 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.05/1.45 'tc_bool' ) ) ) ],
% 1.05/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.05/1.45 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.05/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.05/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.05/1.45 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.05/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.05/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.05/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.05/1.45 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.05/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 1.05/1.45 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.05/1.45 Y, Z, X ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z )
% 1.05/1.45 ) ],
% 1.05/1.45 [ =( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.05/1.45 , 'tc_bool' ) ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.45 'tc_fun'( X, 'tc_bool' ) ), Y ), X ), ~( 'c_Finite__Set_Ofinite'(
% 1.05/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 1.05/1.45 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.05/1.45 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.05/1.45 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), X ) ),
% 1.05/1.45 ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.05/1.45 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 1.05/1.45 ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 1.05/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.45 X ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.05/1.45 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.45 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.45 X ), Y ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.45 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.05/1.45 ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.45 Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.45 ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.45 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.05/1.45 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.45 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.05/1.45 , 'tc_bool' ) ) ) ],
% 1.05/1.45 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ),
% 1.05/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( T,
% 1.05/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.45 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.05/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.05/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.45 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 1.05/1.45 ), 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.45 [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP( hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( 't_a', X ) ), Y ), 'v_x' ),
% 1.05/1.45 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( Y, 'v_x' ) ) ) ],
% 1.05/1.45 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.45 'tc_bool' ) ), Y, X ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.05/1.45 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.05/1.45 [ ~( =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.45 , Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.05/1.45 Z ) ) ), =( Y, Z ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.05/1.45 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.05/1.45 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.05/1.45 ) ), Y ) ) ) ],
% 1.05/1.45 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.05/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.05/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.45 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Orderings_Otop__class_Otop'( X )
% 1.05/1.45 ), 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.45 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.45 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.05/1.45 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 1.05/1.45 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 1.05/1.45 ,
% 1.05/1.45 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.45 'tc_bool' ) ), X ) ],
% 1.05/1.45 [ =( hAPP( 'c_Relation_OImage'( X, Y, Z ),
% 1.05/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.05/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.45 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.05/1.45 'c_Set_Oimage'( Y, Z, X ), T ) ) ), =( T, 'c_Orderings_Obot__class_Obot'(
% 1.05/1.45 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.45 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 1.05/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.05/1.45 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.05/1.45 ), Y ) ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.05/1.45 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.45 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.05/1.45 , 'tc_bool' ) ) ) ],
% 1.05/1.45 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.45 'tc_bool' ) ), Y, Z ) ],
% 1.05/1.45 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), T ) ), hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 1.05/1.45 'c_Set_Ovimage'( X, Y, Z ), T ) ) ) ],
% 1.05/1.45 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.05/1.45 'c_Set_Oimage'( Y, Z, X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.05/1.45 'tc_bool' ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y ) ), =( Y,
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.45 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.05/1.45 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) ),
% 1.05/1.45 Y ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.45 X ), Y ) ), Y ) ],
% 1.05/1.45 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.45 X ), Y ) ), Y ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.45 X ), Y ) ) ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.45 X ), Y ) ) ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.45 X ), Y ) ), Y ) ],
% 1.05/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.05/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.05/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.05/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ),
% 1.05/1.45 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 1.05/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.45 'c_in'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 1.05/1.45 'tc_bool' ) ), Z ) ) ) ) ],
% 1.05/1.45 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.05/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.05/1.45 , Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.45 X ), Y ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.45 X ), Y ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.05/1.45 , Z ) ), Y ) ) ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.05/1.45 , Z ) ), Y ) ) ) ],
% 1.05/1.45 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.05/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', Z ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , hAPP( 'v_F', T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( T, 'v_sko__local__X3__1'( Z
% 1.05/1.45 , T, X, Y ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X3__1'( Z
% 1.05/1.45 , T, X, Y ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.45 'tc_bool' ) ) ), T ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.05/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.05/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( X, Y ) ],
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', Z ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, X,
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , hAPP( 'v_F', U ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X4__1'( U
% 1.05/1.45 , Z, T, X, Y ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( T, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( U, 'v_sko__local__X4__1'( U
% 1.05/1.45 , Z, T, X, Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.45 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.05/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), U ),
% 1.05/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( T, Y ), =( X, Y ), =( T, X )
% 1.05/1.45 ],
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', Z ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, T,
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , hAPP( 'v_F', U ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( Y, T, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( U, 'v_sko__local__X4__1'( Z
% 1.05/1.45 , U, X, Y, T ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X4__1'( Z
% 1.05/1.45 , U, X, Y, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.45 'tc_bool' ) ) ), U ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.05/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.05/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( X, T ), =( Y, T ), =( X, Y )
% 1.05/1.45 ],
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', Z ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, X,
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , hAPP( 'v_F', U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X4__1'( U
% 1.05/1.45 , Z, T, X, Y ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( T, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( U, 'v_sko__local__X4__1'( U
% 1.05/1.45 , Z, T, X, Y ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.45 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.05/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), U ),
% 1.05/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( T, Y ), =( X, Y ), =( T, X )
% 1.05/1.45 ],
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', Z ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, T,
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , hAPP( 'v_F', U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( Y, T, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( U, 'v_sko__local__X4__1'( Z
% 1.05/1.45 , U, X, Y, T ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X4__1'( Z
% 1.05/1.45 , U, X, Y, T ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.45 'tc_bool' ) ) ), U ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.05/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.05/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( X, T ), =( Y, T ), =( X, Y )
% 1.05/1.45 ],
% 1.05/1.45 [ =( hAPP( 'c_Set_Ovimage'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( 'c_COMBB'(
% 1.05/1.45 'c_HOL_OIf'( X ), hAPP( 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool'
% 1.05/1.45 ), 'tc_bool' ), Z ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), Y
% 1.05/1.45 , X, 'tc_fun'( X, X ) ), T ), Y, X, X ), U ), Y, X ), W ),
% 1.05/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.05/1.45 hAPP( 'c_in'( X ), U ), W ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), T ), W ) )
% 1.05/1.45 ],
% 1.05/1.45 [ =( hAPP( 'c_Set_Ovimage'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( 'c_COMBB'(
% 1.05/1.45 'c_HOL_OIf'( X ), hAPP( 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool'
% 1.05/1.45 ), 'tc_bool' ), Z ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), Y
% 1.05/1.45 , X, 'tc_fun'( X, X ) ), T ), Y, X, X ), U ), Y, X ), W ), hAPP(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ) ), ~(
% 1.05/1.45 hBOOL( hAPP( hAPP( 'c_in'( X ), U ), W ) ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.05/1.45 X ), T ), W ) ) ],
% 1.05/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X,
% 1.05/1.45 X ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ),
% 1.05/1.45 'c_Pair'( Z, Y, X, X ) ), T ) ) ), ~( 'c_Wellfounded_Owf'( T, X ) ) ]
% 1.05/1.45 ,
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.05/1.45 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ), T ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.05/1.45 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 1.05/1.45 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ), T ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.05/1.45 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ), T ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 1.05/1.45 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ) ],
% 1.05/1.45 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 1.05/1.45 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, T ) ), 'c_Pair'( W, Z, T, T ) )
% 1.05/1.45 , Y ) ) ) ],
% 1.05/1.45 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 1.05/1.45 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, T ) ), 'c_Pair'( W, Z, T, T ) )
% 1.05/1.45 , Y ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Finite__Set_Ocard'(
% 1.05/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ), ~(
% 1.05/1.45 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.05/1.45 'tc_bool' ) ), X ) ) ],
% 1.05/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.45 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.45 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.05/1.45 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , Z ) ), =( Y, X ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.45 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 1.05/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.45 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.05/1.45 , Z ) ) ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.05/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.05/1.45 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 1.05/1.45 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_Orderings_Otop__class_Otop'(
% 1.05/1.45 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y
% 1.05/1.45 , 'tc_bool' ) ) ) ],
% 1.05/1.45 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.05/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 1.05/1.45 Y, Z ) ],
% 1.05/1.45 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.05/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 1.05/1.45 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.45 'tc_nat' ) ), 'c_Finite__Set_Ocard'( X, Y ) ) ) ) ],
% 1.05/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ),
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.05/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ),
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ), =( X,
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.45 'tc_nat' ) ) ) ) ],
% 1.05/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T,
% 1.05/1.45 U ), U, T ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ) )
% 1.05/1.45 , T ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( Y, U, Z ),
% 1.05/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ) ), Z ) ) ]
% 1.05/1.45 ,
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.45 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ),
% 1.05/1.45 ~( 'c_Fun_Oinj__on'( U, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.05/1.45 'tc_bool' ) ), X, T ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.05/1.45 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ), ~(
% 1.05/1.45 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 1.05/1.45 'tc_bool' ) ), T, X ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), Y ),
% 1.05/1.45 'c_Transitive__Closure_Otrancl'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.05/1.45 'tc_prod'( X, X ) ), Y ), Z ) ) ) ],
% 1.05/1.45 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Oimage'( T, U, Y ), W
% 1.05/1.45 ) ), hAPP( 'c_Set_Oimage'( 'c_COMBB'( X, T, Y, Z, U ), U, Z ), W ) ) ]
% 1.05/1.45 ,
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.05/1.45 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ]
% 1.05/1.45 ,
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.05/1.45 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ]
% 1.05/1.45 ,
% 1.05/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.05/1.45 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ]
% 1.05/1.45 ,
% 1.05/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.05/1.45 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ]
% 1.05/1.45 ,
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.05/1.45 hAPP( 'c_in'( U ), Z ), hAPP( 'c_Set_Ovimage'( Y, U, X ), T ) ) ) ) ]
% 1.05/1.45 ,
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.05/1.45 hAPP( 'c_in'( U ), Z ), hAPP( 'c_Set_Ovimage'( Y, U, X ), T ) ) ) ) ]
% 1.05/1.45 ,
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 1.05/1.45 , U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), hAPP( Z, Y ) ), U ) ) ) ]
% 1.05/1.45 ,
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 1.05/1.45 , U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), hAPP( Z, Y ) ), U ) ) ) ]
% 1.05/1.45 ,
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 1.05/1.45 , U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), hAPP( Z, Y ) ), U ) ) ) ]
% 1.05/1.45 ,
% 1.05/1.45 [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ),
% 1.05/1.45 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool'
% 1.05/1.45 ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ],
% 1.05/1.45 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 1.05/1.45 ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~(
% 1.05/1.45 hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 1.05/1.45 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.05/1.45 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 1.05/1.45 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 1.05/1.45 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.05/1.45 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 1.05/1.45 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 1.05/1.45 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.05/1.45 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y,
% 1.05/1.45 Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 hAPP( 'c_in'( U ), T ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.05/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( W, Z, U, 'tc_fun'(
% 1.05/1.45 X, 'tc_bool' ) ) ) ) ) ],
% 1.05/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.05/1.45 'c_in'( T ), U ), hAPP( W, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 1.05/1.45 ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, W, X,
% 1.05/1.45 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 hAPP( 'c_in'( U ), T ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.05/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( W, Z, U, 'tc_fun'(
% 1.05/1.45 X, 'tc_bool' ) ) ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.05/1.45 ), U ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, X, T, 'tc_fun'(
% 1.05/1.45 W, 'tc_bool' ) ), Z ) ) ) ],
% 1.05/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP( T
% 1.05/1.45 , Y ), U ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, X, 'tc_fun'(
% 1.05/1.45 W, 'tc_bool' ) ), U ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.05/1.45 ), U ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, X, T, 'tc_fun'(
% 1.05/1.45 W, 'tc_bool' ) ), Z ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 1.05/1.45 , ~( 'c_Wellfounded_Owf'( Z, X ) ) ],
% 1.05/1.45 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 1.05/1.45 'c_Relation_Osym'( X, Y ) ) ],
% 1.05/1.45 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.05/1.45 Y, X ) ],
% 1.05/1.45 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.05/1.45 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.05/1.45 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ),
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.45 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 1.05/1.45 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__2'( X, Y ) )
% 1.05/1.45 ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 1.05/1.45 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 1.05/1.45 ,
% 1.05/1.45 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 1.05/1.45 ,
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.05/1.45 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.45 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.45 [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ),
% 1.05/1.45 ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 1.05/1.45 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 1.05/1.45 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 1.05/1.45 [ =( hAPP( 'c_Relation_OImage'( 'c_Relation_OId'( X ), X, X ), Y ), Y )
% 1.05/1.45 ],
% 1.05/1.45 [ =( 'c_Relation_ODomain'( 'c_Relation_OId'( X ), X, X ),
% 1.05/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.45 [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.08/1.45 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 1.08/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), Y ),
% 1.08/1.45 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.08/1.45 'tc_bool' ) ), Y, Z ) ), ~( 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 1.08/1.45 [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 1.08/1.45 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 1.08/1.45 [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 1.08/1.45 'c_Wellfounded_Owf'( X, Z ) ) ],
% 1.08/1.45 [ =( 'c_Relation_ORange'( 'c_Relation_OId'( X ), X, X ),
% 1.08/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.08/1.45 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 1.08/1.45 'c_Relation_Osym'( X, Z ) ) ],
% 1.08/1.45 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 1.08/1.45 T ) ), T ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 1.08/1.45 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ],
% 1.08/1.45 [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 1.08/1.45 'c_Wellfounded_Owf'( X, Y ) ) ],
% 1.08/1.45 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 1.08/1.45 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 1.08/1.45 , T, U, V0 ), Z, T, V0 ) ) ],
% 1.08/1.45 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 1.08/1.45 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.08/1.45 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 1.08/1.45 [ 'c_Finite__Set_Ofinite'(
% 1.08/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, Z, 'tc_fun'(
% 1.08/1.45 T, 'tc_bool' ) ), T ), ~( 'c_Finite__Set_Ofinite'( hAPP( Y, U ), T ) ),
% 1.08/1.45 ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X ) ) ) ],
% 1.08/1.45 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( hAPP(
% 1.08/1.45 'c_Set_Oimage'( X, Y, Z ), T ), U, Z, 'tc_fun'( W, 'tc_bool' ) ),
% 1.08/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, 'c_COMBB'( U, X
% 1.08/1.45 , Z, 'tc_fun'( W, 'tc_bool' ), Y ), Y, 'tc_fun'( W, 'tc_bool' ) ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ 'c_Wellfounded_Owf'( 'c_Wellfounded_Omlex__prod'( X, Y, Z ), Z ), ~(
% 1.08/1.45 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 1.08/1.45 [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y
% 1.08/1.45 , Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 1.08/1.45 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ), =( T, U ) ],
% 1.08/1.45 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X,
% 1.08/1.45 Y, Z ) ) ],
% 1.08/1.45 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.08/1.45 ) ), 'c_Finite__Set_Ofinite'( X, Y ) ],
% 1.08/1.45 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBB'(
% 1.08/1.45 Y, Z, T, 'tc_fun'( U, 'tc_bool' ), W ), W, 'tc_fun'( U, 'tc_bool' ) ),
% 1.08/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( hAPP(
% 1.08/1.45 'c_Set_Oimage'( Z, W, T ), X ), Y, T, 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.08/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z ),
% 1.08/1.45 ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.08/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.08/1.45 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 'tc_nat' ) ), Y ) ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.08/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 'tc_nat' ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X )
% 1.08/1.45 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.08/1.45 Y, X ) ) ) ) ],
% 1.08/1.45 [ 'c_Relation_Orefl__on'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.08/1.45 'tc_bool' ) ), 'c_Relation_OId'( X ), X ) ],
% 1.08/1.45 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 1.08/1.45 ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'( X, Y ) ),
% 1.08/1.45 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.08/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 1.08/1.45 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Omktop'( X, Y ) ),
% 1.08/1.45 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.08/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 1.08/1.45 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.08/1.45 'c_ATP__Linkup_Osko__Set__Xball__UNIV__1__1'( X, Z ) ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ) ), 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y
% 1.08/1.45 ) ), 'c_Arrow__Order__Mirabelle_OLin' ) ), =( X, Y ) ],
% 1.08/1.45 [ ~( =( 'c_Finite__Set_Ocard'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z )
% 1.08/1.45 , 'c_Finite__Set_Ocard'( T, Y ) ) ), ~( 'c_Finite__Set_Ofinite'( T, Y ) )
% 1.08/1.45 , 'c_Fun_Oinj__on'( X, T, Y, Z ) ],
% 1.08/1.45 [ =( 'c_Finite__Set_Ocard'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z ),
% 1.08/1.45 'c_Finite__Set_Ocard'( T, Y ) ), ~( 'c_Fun_Oinj__on'( X, T, Y, Z ) ), ~(
% 1.08/1.45 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_Set_Ovimage'( Y, T, U ), X ), Z ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), U ) ), ~( hBOOL(
% 1.08/1.45 hAPP( T, hAPP( X, U ) ) ) ) ],
% 1.08/1.45 [ =( 'c_Finite__Set_Ocard'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z ),
% 1.08/1.45 'c_Finite__Set_Ocard'( T, Y ) ), ~( 'c_Fun_Oinj__on'( X, T, Y, Z ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 1.08/1.45 ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( Z, Y, T ), X ), T ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ 'c_Wellfounded_Owf'( 'c_Wellfounded_Omeasure'( X, Y ), Y ) ],
% 1.08/1.45 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 1.08/1.45 X, Y, Z, Z ) ), 'c_Relation_OId__on'( T, Z ) ) ) ) ],
% 1.08/1.45 [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 1.08/1.45 ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.08/1.45 'tc_prod'( T, T ) ), 'c_Pair'( V0, Z, T, T ) ), Y ) ) ) ],
% 1.08/1.45 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 1.08/1.45 X, Y, Z, Z ) ), 'c_Relation_OId'( Z ) ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 1.08/1.45 ), Z ) ), ~( 'c_Nitpick_Orefl_H'( Z, X ) ) ],
% 1.08/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X,
% 1.08/1.45 X ) ), Z ) ) ), ~( 'c_Wellfounded_Owf'( Z, X ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.08/1.45 ), 'c_Relation_Oinv__image'( T, U, W, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_in'( 'tc_prod'( W, W ) ), 'c_Pair'( hAPP( U, Y ), hAPP( U, Z ), W, W )
% 1.08/1.45 ), T ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( hAPP( Y, Z )
% 1.08/1.45 , hAPP( Y, T ), X, X ) ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.08/1.45 W, W ) ), 'c_Pair'( Z, T, W, W ) ), 'c_Relation_Oinv__image'( U, Y, X, W
% 1.08/1.45 ) ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.08/1.45 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z
% 1.08/1.45 , Y, X, X ) ), T ) ) ), ~( 'c_Relation_Osym'( T, X ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.08/1.45 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z
% 1.08/1.45 , Y, X, X ) ), T ) ) ), ~( 'c_Relation_Osym'( T, X ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 1.08/1.45 ), 'c_Relation_Orel__comp'( U, W, X, V0, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_in'( 'tc_prod'( V0, Y ) ), 'c_Pair'( V1, T, V0, Y ) ), W ) ) ), ~(
% 1.08/1.45 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, V0 ) ), 'c_Pair'( Z, V1, X, V0 )
% 1.08/1.45 ), U ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.08/1.45 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ), T ) ) ), ~( hBOOL(
% 1.08/1.45 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ), T ) )
% 1.08/1.45 ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.08/1.45 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 1.08/1.45 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 1.08/1.45 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 1.08/1.45 ), 'c_Relation_OId'( X ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 1.08/1.45 ), 'c_Relation_OId'( X ) ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.08/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.08/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.08/1.45 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ),
% 1.08/1.45 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.08/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.08/1.45 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ),
% 1.08/1.45 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.08/1.45 'c_ATP__Linkup_Osko__Set__XUNIV__witness__1__1'( X ) ),
% 1.08/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__1'( X, Y ) )
% 1.08/1.45 ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ),
% 1.08/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 1.08/1.45 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.08/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, T, 'tc_fun'(
% 1.08/1.45 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Otop__class_Otop'(
% 1.08/1.45 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y )
% 1.08/1.45 ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.08/1.45 'c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__2'( Y, X ) ),
% 1.08/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 1.08/1.45 hAPP( Y, Z ) ) ) ],
% 1.08/1.45 [ =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.08/1.45 ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.08/1.45 'c_ATP__Linkup_Osko__Set__XUNIV__eq__I__1__1'( Y, X ) ), Y ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.08/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ), ~(
% 1.08/1.45 hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xball__UNIV__1__2'( X, Z ) ) )
% 1.08/1.45 ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.08/1.45 Y, T, X ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ) ) )
% 1.08/1.45 ) ],
% 1.08/1.45 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 1.08/1.45 'c_ATP__Linkup_Osko__Set__Xball__UNIV__1__1'( X, Z ) ),
% 1.08/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 1.08/1.45 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, Z,
% 1.08/1.45 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 1.08/1.45 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Otop__class_Otop'(
% 1.08/1.45 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X )
% 1.08/1.45 ) ) ],
% 1.08/1.45 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ), U, T ),
% 1.08/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ) ), hAPP(
% 1.08/1.45 'c_Set_Oimage'( X, Z, T ), hAPP( 'c_Set_Oimage'( Y, U, Z ),
% 1.08/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ) ) ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 1.08/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.08/1.45 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.08/1.45 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Otop__class_Otop'(
% 1.08/1.45 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Otop__class_Otop'( X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ =( hAPP( 'c_Set_Oimage'( 'v_h____', 'tc_Arrow__Order__Mirabelle_Oindi'
% 1.08/1.45 , 'tc_nat' ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ) ),
% 1.08/1.45 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 'tc_nat' ), 'c_Finite__Set_Ocard'( 'c_Orderings_Otop__class_Otop'(
% 1.08/1.45 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ),
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 1.08/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), ~(
% 1.08/1.45 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.08/1.45 'tc_bool' ) ), Y ) ), =( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.08/1.45 'tc_bool' ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.08/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.08/1.45 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.08/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), =( X, T ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.08/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.08/1.45 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.08/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, T ), =( X, T ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.08/1.45 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.08/1.45 Y, X ) ) ) ) ],
% 1.08/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.08/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.08/1.45 Z, X ) ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.08/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 1.08/1.45 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.08/1.45 , 'c_Arrow__Order__Mirabelle_Omktop'( Z, T ) ) ) ) ],
% 1.08/1.45 [ =( X, Y ), =( Y, X ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.08/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.08/1.45 Z, X ) ) ) ],
% 1.08/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.08/1.45 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.08/1.45 Y, X ) ) ) ) ],
% 1.08/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.08/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.08/1.45 Z, Y ) ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.08/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.08/1.45 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.08/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), =( Y, T ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.08/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.08/1.45 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.08/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), =( Y, T ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ =( X, Y ), =( X, Y ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.08/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.08/1.45 Z, Y ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.08/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( X, T ), ~( hBOOL( hAPP(
% 1.08/1.45 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.08/1.45 , 'c_Arrow__Order__Mirabelle_Omkbot'( Z, T ) ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.08/1.45 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ),
% 1.08/1.45 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y ) ) ), =( X, Y
% 1.08/1.45 ) ],
% 1.08/1.45 [ =( hAPP( 'c_Set_Ovimage'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( 'c_COMBB'(
% 1.08/1.45 'c_HOL_OIf'( X ), hAPP( 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool'
% 1.08/1.45 ), 'tc_bool' ), Z ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), Y
% 1.08/1.45 , X, 'tc_fun'( X, X ) ), T ), Y, X, X ), U ), Y, X ), W ), Z ), hBOOL(
% 1.08/1.45 hAPP( hAPP( 'c_in'( X ), U ), W ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T
% 1.08/1.45 ), W ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 1.08/1.45 ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.08/1.45 Z ), U ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 1.08/1.45 ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.08/1.45 Z ), U ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 1.08/1.45 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X
% 1.08/1.45 ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ),
% 1.08/1.45 'c_Wellfounded_Oacc'( Z, X ) ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 1.08/1.45 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X
% 1.08/1.45 ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ),
% 1.08/1.45 'c_Wellfounded_Oacc'( Z, X ) ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Relation_OImage'( Z, T,
% 1.08/1.45 X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), 'c_Pair'(
% 1.08/1.45 W, Y, T, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), W ), U ) ) )
% 1.08/1.45 ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Relation_OImage'( Z, T,
% 1.08/1.45 X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), 'c_Pair'(
% 1.08/1.45 W, Y, T, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), W ), U ) ) )
% 1.08/1.45 ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ),
% 1.08/1.45 'c_Relation_OId__on'( Z, X ) ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 1.08/1.45 ), 'c_Relation_OId__on'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.08/1.45 Y ), Z ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), U ) ) ), ~(
% 1.08/1.45 'c_Equiv__Relations_Oequiv'( Z, U, X ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ), U ) ) ), ~(
% 1.08/1.45 'c_Equiv__Relations_Oequiv'( Z, U, X ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ORange'( Z, T, X ) )
% 1.08/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), 'c_Pair'( U, Y, T
% 1.08/1.45 , X ) ), Z ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ORange'( Z, T, X ) )
% 1.08/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), 'c_Pair'( U, Y, T
% 1.08/1.45 , X ) ), Z ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ODomain'( Z, X, T ) )
% 1.08/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, T ) ), 'c_Pair'( Y, U, X
% 1.08/1.45 , T ) ), Z ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ODomain'( Z, X, T ) )
% 1.08/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, T ) ), 'c_Pair'( Y, U, X
% 1.08/1.45 , T ) ), Z ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.08/1.45 hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( T, Y, U, X ) ),
% 1.08/1.45 'c_Product__Type_OSigma'( W, Z, U, X ) ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_in'( 'tc_prod'( X, T ) ), 'c_Pair'( Y, U, X, T ) ),
% 1.08/1.45 'c_Product__Type_OSigma'( Z, W, X, T ) ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.08/1.45 ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z, Y
% 1.08/1.45 , X, X ) ), T ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), U )
% 1.08/1.45 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), U ) ) ), ~(
% 1.08/1.45 'c_Relation_Ototal__on'( U, T, X ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 1.08/1.45 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 1.08/1.45 'c_Relation_Orefl__on'( T, Z, X ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), U ) ) ), ~(
% 1.08/1.45 'c_Relation_Orefl__on'( Z, U, X ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ), U ) ) ), ~(
% 1.08/1.45 'c_Relation_Orefl__on'( Z, U, X ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 1.08/1.45 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 1.08/1.45 'c_Relation_Orefl__on'( T, Z, X ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.08/1.45 ), 'c_Wellfounded_Omlex__prod'( T, U, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( T, Y ) ), hAPP( T, Z ) ) ) )
% 1.08/1.45 ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.08/1.45 ), 'c_Wellfounded_Omeasure'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( T, Y ) ), hAPP( T, Z ) ) ) )
% 1.08/1.45 ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( X, Y )
% 1.08/1.45 ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, T ) ),
% 1.08/1.45 'c_Pair'( Y, Z, T, T ) ), 'c_Wellfounded_Omeasure'( X, T ) ) ) ) ],
% 1.08/1.45 [ =( hAPP( 'c_Set_Ovimage'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( 'c_COMBB'(
% 1.08/1.45 'c_HOL_OIf'( X ), hAPP( 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool'
% 1.08/1.45 ), 'tc_bool' ), Z ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), Y
% 1.08/1.45 , X, 'tc_fun'( X, X ) ), T ), Y, X, X ), U ), Y, X ), W ),
% 1.08/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~( hBOOL(
% 1.08/1.45 hAPP( hAPP( 'c_in'( X ), U ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.08/1.45 , T ), W ) ) ) ],
% 1.08/1.45 [ 'c_Fun_Oinj__on'( 'v_h____', 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ),
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat' ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ) ) ), hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'(
% 1.08/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), hAPP( 'c_COMBC'(
% 1.08/1.45 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'v_h____', 'tc_nat',
% 1.08/1.45 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), X ), 'tc_bool'
% 1.08/1.45 , 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.08/1.45 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ),
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ),
% 1.08/1.45 'c_Arrow__Order__Mirabelle_OProf' ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ) ), hAPP( 'v_F', hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( 'c_COMBB'(
% 1.08/1.45 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), hAPP( 'c_COMBC'(
% 1.08/1.45 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'v_h____', 'tc_nat',
% 1.08/1.45 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), X ), 'tc_bool'
% 1.08/1.45 , 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.08/1.45 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ),
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ),
% 1.08/1.45 'c_Arrow__Order__Mirabelle_OLin' ) ) ],
% 1.08/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.08/1.45 , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', hAPP( 'c_COMBC'( hAPP(
% 1.08/1.45 'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'tc_nat' ), 'v_h____', 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 1.08/1.45 , 'tc_nat', 'tc_bool' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.08/1.45 'tc_bool', 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ),
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 1.08/1.45 , 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.08/1.45 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ) ) ), 'v_Lab____' ), 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.08/1.45 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ) ), 'v_Lba____' ) ) ) ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.08/1.45 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.08/1.45 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ), =(
% 1.08/1.45 Y, X ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.08/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.08/1.45 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ), =(
% 1.08/1.45 Y, X ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.08/1.45 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.08/1.45 ), Y ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.08/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 1.08/1.45 ) ) ],
% 1.08/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 1.08/1.45 ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Otop__class_Otop'(
% 1.08/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 1.08/1.45 ],
% 1.08/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 1.08/1.45 ],
% 1.08/1.45 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.08/1.45 U ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ) ), 'v_Lab____' ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.08/1.45 , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_Lab____' ) ) ],
% 1.08/1.45 [ 'c_Arrow__Order__Mirabelle_Ounanimity'( 'v_F' ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ) ), hAPP( 'v_F', 'c_COMBK'( 'v_Lab____', 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ) ) ),
% 1.08/1.45 'c_Arrow__Order__Mirabelle_OLin' ) ) ],
% 1.08/1.45 [ =( hAPP( hAPP( hAPP( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP(
% 1.08/1.45 'v_h____', 'v_p' ) ), 'c_Finite__Set_Ocard'(
% 1.08/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ),
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oindi' ) ) ), 'v_Lab____' ), 'v_Lba____' ),
% 1.08/1.45 'v_Lab____' ) ],
% 1.08/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.08/1.45 , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', hAPP( 'c_COMBC'( hAPP(
% 1.08/1.45 'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'tc_nat' ), 'v_h____', 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 1.08/1.45 , 'tc_nat', 'tc_bool' ), 'c_Finite__Set_Ocard'(
% 1.08/1.45 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ),
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oindi' ) ), 'tc_bool', 'tc_fun'( 'tc_fun'(
% 1.08/1.45 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.08/1.45 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ),
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.08/1.45 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.08/1.45 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ) ) )
% 1.08/1.45 ],
% 1.08/1.45 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 1.08/1.45 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.08/1.45 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.08/1.45 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.08/1.45 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 1.08/1.45 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.08/1.45 'class_Lattices_Olattice'( Y ) ) ],
% 1.08/1.45 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.08/1.45 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.08/1.45 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.08/1.45 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.08/1.45 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.08/1.45 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.08/1.45 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.08/1.45 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.08/1.45 'class_Orderings_Opreorder'( Y ) ) ],
% 1.08/1.45 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.08/1.45 'class_Lattices_Olattice'( Y ) ) ],
% 1.08/1.45 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.08/1.45 'class_Orderings_Oorder'( Y ) ) ],
% 1.08/1.45 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 1.08/1.45 Y ) ) ],
% 1.08/1.45 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.08/1.45 Y ) ) ],
% 1.08/1.45 [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ouminus'( Y ) )
% 1.08/1.45 ],
% 1.08/1.45 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.08/1.45 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.08/1.45 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.08/1.45 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.08/1.45 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.08/1.45 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.08/1.45 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.08/1.45 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.08/1.45 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.08/1.45 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 1.08/1.45 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 1.08/1.45 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 1.08/1.45 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.08/1.45 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.08/1.45 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 1.08/1.45 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.08/1.45 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.08/1.45 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.08/1.45 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.08/1.45 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 1.08/1.45 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.08/1.45 [ 'class_HOL_Ouminus'( 'tc_bool' ) ],
% 1.08/1.45 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 1.08/1.45 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.08/1.45 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.08/1.45 U ) ) ],
% 1.08/1.45 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ 'c_fequal'( X, X, Y ) ],
% 1.08/1.45 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.08/1.45 ] .
% 1.08/1.45
% 1.08/1.45
% 1.08/1.45 percentage equality = 0.277580, percentage horn = 0.839233
% 1.08/1.45 This is a problem with some equality
% 1.08/1.45
% 1.08/1.45
% 1.08/1.45
% 1.08/1.45 Options Used:
% 1.08/1.45
% 1.08/1.45 useres = 1
% 1.08/1.45 useparamod = 1
% 1.08/1.45 useeqrefl = 1
% 1.08/1.45 useeqfact = 1
% 1.08/1.45 usefactor = 1
% 1.08/1.45 usesimpsplitting = 0
% 1.08/1.45 usesimpdemod = 5
% 1.08/1.45 usesimpres = 3
% 1.08/1.45
% 1.08/1.45 resimpinuse = 1000
% 1.08/1.45 resimpclauses = 20000
% 1.08/1.45 substype = eqrewr
% 1.08/1.45 backwardsubs = 1
% 1.08/1.45 selectoldest = 5
% 1.08/1.45
% 1.08/1.45 litorderings [0] = split
% 1.08/1.45 litorderings [1] = extend the termordering, first sorting on arguments
% 1.08/1.45
% 1.08/1.45 termordering = kbo
% 1.08/1.45
% 1.08/1.45 litapriori = 0
% 1.08/1.45 termapriori = 1
% 1.08/1.45 litaposteriori = 0
% 1.08/1.45 termaposteriori = 0
% 1.08/1.45 demodaposteriori = 0
% 1.08/1.45 ordereqreflfact = 0
% 1.08/1.45
% 1.08/1.45 litselect = negord
% 1.08/1.45
% 1.08/1.45 maxweight = 15
% 1.08/1.45 maxdepth = 30000
% 1.08/1.45 maxlength = 115
% 1.08/1.45 maxnrvars = 195
% 1.08/1.45 excuselevel = 1
% 1.08/1.45 increasemaxweight = 1
% 1.08/1.45
% 1.08/1.45 maxselected = 10000000
% 1.08/1.45 maxnrclauses = 10000000
% 1.08/1.45
% 1.08/1.45 showgenerated = 0
% 1.08/1.45 showkept = 0
% 1.08/1.45 showselected = 0
% 1.08/1.45 showdeleted = 0
% 1.08/1.45 showresimp = 1
% 1.08/1.45 showstatus = 2000
% 1.08/1.45
% 1.08/1.45 prologoutput = 1
% 1.08/1.45 nrgoals = 5000000
% 1.08/1.45 totalproof = 1
% 1.08/1.45
% 1.08/1.45 Symbols occurring in the translation:
% 1.08/1.45
% 1.08/1.45 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.08/1.45 . [1, 2] (w:1, o:122, a:1, s:1, b:0),
% 1.08/1.45 ! [4, 1] (w:0, o:80, a:1, s:1, b:0),
% 1.08/1.45 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.08/1.45 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.08/1.45 'class_OrderedGroup_Ogroup__add' [40, 1] (w:1, o:86, a:1, s:1, b:0),
% 1.08/1.45
% 1.08/1.45 'c_HOL_Ominus__class_Ominus' [42, 2] (w:1, o:147, a:1, s:1, b:0),
% 1.08/1.45 hAPP [43, 2] (w:1, o:148, a:1, s:1, b:0),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero' [44, 1] (w:1, o:87, a:1, s:1, b:0),
% 1.08/1.45 'class_Ring__and__Field_Oidom' [45, 1] (w:1, o:88, a:1, s:1, b:0),
% 1.08/1.45 'class_Int_Onumber__ring' [46, 1] (w:1, o:92, a:1, s:1, b:0),
% 1.08/1.45 'c_Set_Oimage' [50, 3] (w:1, o:176, a:1, s:1, b:0),
% 1.08/1.45 'tc_bool' [52, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.08/1.45 'tc_fun' [53, 2] (w:1, o:149, a:1, s:1, b:0),
% 1.08/1.45 'c_Lattices_Olower__semilattice__class_Oinf' [54, 2] (w:1, o:150, a:1
% 1.08/1.45 , s:1, b:0),
% 1.08/1.45 'c_lessequals' [56, 3] (w:1, o:177, a:1, s:1, b:0),
% 1.08/1.45 'c_Relation_OImage' [58, 3] (w:1, o:171, a:1, s:1, b:0),
% 1.08/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [61, 4] (w:1
% 1.08/1.45 , o:187, a:1, s:1, b:0),
% 1.08/1.45 'c_COMBB' [62, 5] (w:1, o:199, a:1, s:1, b:0),
% 1.08/1.45 'c_Orderings_Obot__class_Obot' [63, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus' [64, 1] (w:1, o:94, a:1, s:1, b:0),
% 1.08/1.45 'c_Orderings_Otop__class_Otop' [65, 1] (w:1, o:95, a:1, s:1, b:0),
% 1.08/1.45 'c_Set_Oinsert' [67, 1] (w:1, o:97, a:1, s:1, b:0),
% 1.08/1.45 'c_Relation_Orel__comp' [69, 5] (w:1, o:200, a:1, s:1, b:0),
% 1.08/1.45 'c_COMBK' [70, 3] (w:1, o:178, a:1, s:1, b:0),
% 2.28/2.68 'c_Product__Type_OSigma' [71, 4] (w:1, o:188, a:1, s:1, b:0),
% 2.28/2.68 'tc_prod' [72, 2] (w:1, o:151, a:1, s:1, b:0),
% 2.28/2.68 'class_Lattices_Olattice' [73, 1] (w:1, o:98, a:1, s:1, b:0),
% 2.28/2.68 'class_Lattices_Olower__semilattice' [76, 1] (w:1, o:99, a:1, s:1, b:
% 2.28/2.68 0),
% 2.28/2.68 'c_in' [77, 1] (w:1, o:100, a:1, s:1, b:0),
% 2.28/2.68 hBOOL [78, 1] (w:1, o:101, a:1, s:1, b:0),
% 2.28/2.68 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI' [79, 4] (w:1
% 2.28/2.68 , o:189, a:1, s:1, b:0),
% 2.28/2.68 'class_OrderedGroup_Oab__group__add' [81, 1] (w:1, o:102, a:1, s:1
% 2.28/2.68 , b:0),
% 2.28/2.68 'c_ATP__Linkup_Osko__Fun__Ximage__INT__1__1' [83, 5] (w:1, o:201, a:1
% 2.28/2.68 , s:1, b:0),
% 2.28/2.68 'c_Fun_Oinj__on' [84, 4] (w:1, o:190, a:1, s:1, b:0),
% 2.28/2.68 'class_Lattices_Obounded__lattice' [85, 1] (w:1, o:103, a:1, s:1, b:0
% 2.28/2.68 ),
% 2.28/2.68 'c_Finite__Set_Ofinite' [87, 2] (w:1, o:152, a:1, s:1, b:0),
% 2.28/2.68 'class_Orderings_Obot' [88, 1] (w:1, o:104, a:1, s:1, b:0),
% 2.28/2.68 'class_OrderedGroup_Opordered__ab__group__add' [89, 1] (w:1, o:106
% 2.28/2.68 , a:1, s:1, b:0),
% 2.28/2.68 'c_Set_Ovimage' [91, 3] (w:1, o:179, a:1, s:1, b:0),
% 2.28/2.68 'class_OrderedGroup_Olordered__ab__group__add' [93, 1] (w:1, o:107
% 2.28/2.68 , a:1, s:1, b:0),
% 2.28/2.68 'class_OrderedGroup_Oordered__ab__group__add' [94, 1] (w:1, o:105, a:
% 2.28/2.68 1, s:1, b:0),
% 2.28/2.68 'class_Lattices_Oboolean__algebra' [95, 1] (w:1, o:108, a:1, s:1, b:0
% 2.28/2.68 ),
% 2.28/2.68 'class_Orderings_Oorder' [96, 1] (w:1, o:109, a:1, s:1, b:0),
% 2.28/2.68 'c_SetInterval_Oord__class_OatLeastLessThan' [99, 3] (w:1, o:180, a:1
% 2.28/2.68 , s:1, b:0),
% 2.28/2.68 'c_FuncSet_OPi' [100, 4] (w:1, o:191, a:1, s:1, b:0),
% 2.28/2.68 'class_Complete__Lattice_Ocomplete__lattice' [101, 1] (w:1, o:110, a:
% 2.28/2.68 1, s:1, b:0),
% 2.28/2.68 'c_Transitive__Closure_Otrancl' [104, 2] (w:1, o:153, a:1, s:1, b:0)
% 2.28/2.68 ,
% 2.28/2.68 'c_Relation_OId__on' [105, 2] (w:1, o:154, a:1, s:1, b:0),
% 2.28/2.68 'c_Relation_Orefl__on' [106, 3] (w:1, o:172, a:1, s:1, b:0),
% 2.28/2.68 'class_Orderings_Olinorder' [112, 1] (w:1, o:111, a:1, s:1, b:0),
% 2.28/2.68 't_a' [115, 0] (w:1, o:52, a:1, s:1, b:0),
% 2.28/2.68 'v_x' [117, 0] (w:1, o:54, a:1, s:1, b:0),
% 2.28/2.68 'class_Orderings_Opreorder' [118, 1] (w:1, o:112, a:1, s:1, b:0),
% 2.28/2.68 'c_Wellfounded_Owf' [122, 2] (w:1, o:155, a:1, s:1, b:0),
% 2.28/2.68 'c_COMBC' [124, 4] (w:1, o:192, a:1, s:1, b:0),
% 2.28/2.68 'c_Relation_ODomain' [125, 3] (w:1, o:173, a:1, s:1, b:0),
% 2.28/2.68 'c_Equiv__Relations_Oequiv' [127, 3] (w:1, o:181, a:1, s:1, b:0),
% 2.28/2.68 'c_HOL_Oord__class_Oless' [128, 1] (w:1, o:113, a:1, s:1, b:0),
% 2.28/2.68 'class_Ring__and__Field_Oordered__semidom' [129, 1] (w:1, o:114, a:1
% 2.28/2.68 , s:1, b:0),
% 2.28/2.68 'c_Nat_Osemiring__1__class_Oof__nat' [130, 2] (w:1, o:156, a:1, s:1
% 2.28/2.68 , b:0),
% 2.28/2.68 'c_Complete__Lattice_OSup__class_OSup' [132, 2] (w:1, o:157, a:1, s:1
% 2.28/2.68 , b:0),
% 2.28/2.68 'c_Relation_ORange' [134, 3] (w:1, o:174, a:1, s:1, b:0),
% 2.28/2.68 'class_HOL_Ominus' [135, 1] (w:1, o:89, a:1, s:1, b:0),
% 2.28/2.68 'c_List_Osko__Equiv__Relations__XquotientE__1__1' [137, 4] (w:1, o:
% 2.28/2.68 193, a:1, s:1, b:0),
% 2.28/2.68 'c_Equiv__Relations_Oquotient' [138, 3] (w:1, o:182, a:1, s:1, b:0),
% 2.28/2.68
% 2.28/2.68 'c_Wellfounded_Oacc' [140, 2] (w:1, o:158, a:1, s:1, b:0),
% 2.28/2.68 'class_HOL_Oord' [144, 1] (w:1, o:90, a:1, s:1, b:0),
% 2.28/2.68 'class_Orderings_Otop' [146, 1] (w:1, o:115, a:1, s:1, b:0),
% 2.28/2.68 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1' [147, 4] (w:1, o:
% 2.28/2.68 194, a:1, s:1, b:0),
% 2.28/2.68 'c_Pair' [148, 4] (w:1, o:195, a:1, s:1, b:0),
% 2.28/2.68 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1' [149, 4] (w:1, o:196
% 2.28/2.68 , a:1, s:1, b:0),
% 2.28/2.68 'c_Finite__Set_Ocard' [150, 2] (w:1, o:159, a:1, s:1, b:0),
% 2.28/2.68 'tc_nat' [152, 0] (w:1, o:64, a:1, s:1, b:0),
% 2.28/2.68 'tc_Arrow__Order__Mirabelle_Oalt' [153, 0] (w:1, o:65, a:1, s:1, b:0)
% 2.28/2.68 ,
% 2.28/2.68 'c_Arrow__Order__Mirabelle_OLin' [155, 0] (w:1, o:66, a:1, s:1, b:0)
% 2.28/2.68 ,
% 2.28/2.68 'c_Arrow__Order__Mirabelle_Obelow' [156, 3] (w:1, o:184, a:1, s:1, b:
% 2.28/2.68 0),
% 2.28/2.68 'c_Arrow__Order__Mirabelle_Oabove' [157, 3] (w:1, o:183, a:1, s:1, b:
% 2.28/2.68 0),
% 2.28/2.68 'tc_Arrow__Order__Mirabelle_Oindi' [159, 0] (w:1, o:67, a:1, s:1, b:0
% 2.28/2.68 ),
% 2.28/2.68 'c_Arrow__Order__Mirabelle_OProf' [160, 0] (w:1, o:68, a:1, s:1, b:0)
% 12.55/12.94 ,
% 12.55/12.94 'v_F' [161, 0] (w:1, o:69, a:1, s:1, b:0),
% 12.55/12.94 'v_sko__local__Xpairwise__neutrality__1' [165, 6] (w:1, o:204, a:1
% 12.55/12.94 , s:1, b:0),
% 12.55/12.94 'v_sko__local__X2__1' [166, 6] (w:1, o:205, a:1, s:1, b:0),
% 12.55/12.94 'v_sko__local__X3__1' [167, 4] (w:1, o:197, a:1, s:1, b:0),
% 12.55/12.94 'class_Ring__and__Field_Oordered__idom' [168, 1] (w:1, o:116, a:1, s:
% 12.55/12.94 1, b:0),
% 12.55/12.94 'class_HOL_Ouminus' [169, 1] (w:1, o:91, a:1, s:1, b:0),
% 12.55/12.94 'c_Relation_Ototal__on' [170, 3] (w:1, o:175, a:1, s:1, b:0),
% 12.55/12.94 'v_sko__local__X4__1' [171, 5] (w:1, o:202, a:1, s:1, b:0),
% 12.55/12.94 'c_HOL_OIf' [172, 1] (w:1, o:117, a:1, s:1, b:0),
% 12.55/12.94 'c_Recdef_Ocut' [173, 5] (w:1, o:203, a:1, s:1, b:0),
% 12.55/12.94 'class_Finite__Set_Ofinite_Ofinite' [174, 1] (w:1, o:118, a:1, s:1
% 12.55/12.94 , b:0),
% 12.55/12.94 'c_Relation_Osym' [175, 2] (w:1, o:160, a:1, s:1, b:0),
% 12.55/12.94 'c_Relation_OId' [176, 1] (w:1, o:96, a:1, s:1, b:0),
% 12.55/12.94 'c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__2' [177, 2] (w:1, o:162, a:1
% 12.55/12.94 , s:1, b:0),
% 12.55/12.94 'class_Ring__and__Field_Osemiring__1' [178, 1] (w:1, o:119, a:1, s:1
% 12.55/12.94 , b:0),
% 12.55/12.94 'c_Relation_Oinv__image' [180, 4] (w:1, o:198, a:1, s:1, b:0),
% 12.55/12.94 'class_Nat_Osemiring__char__0' [183, 1] (w:1, o:85, a:1, s:1, b:0),
% 12.55/12.94 'c_Wellfounded_Omlex__prod' [184, 3] (w:1, o:185, a:1, s:1, b:0),
% 12.55/12.94 'c_Arrow__Order__Mirabelle_Omkbot' [185, 2] (w:1, o:163, a:1, s:1, b:
% 12.55/12.94 0),
% 12.55/12.94 'c_Arrow__Order__Mirabelle_Omktop' [186, 2] (w:1, o:164, a:1, s:1, b:
% 12.55/12.94 0),
% 12.55/12.94 'c_ATP__Linkup_Osko__Set__Xball__UNIV__1__1' [188, 2] (w:1, o:165, a:
% 12.55/12.94 1, s:1, b:0),
% 12.55/12.94 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1' [189, 2] (w:1, o:
% 12.55/12.94 166, a:1, s:1, b:0),
% 12.55/12.94 'c_Wellfounded_Omeasure' [190, 2] (w:1, o:167, a:1, s:1, b:0),
% 12.55/12.94 'c_Nitpick_Orefl_H' [191, 2] (w:1, o:168, a:1, s:1, b:0),
% 12.55/12.94 'c_ATP__Linkup_Osko__Set__XUNIV__witness__1__1' [192, 1] (w:1, o:120
% 12.55/12.94 , a:1, s:1, b:0),
% 12.55/12.94 'c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__1' [193, 2] (w:1, o:161, a:1
% 12.55/12.94 , s:1, b:0),
% 12.55/12.94 'c_ATP__Linkup_Osko__Set__XUNIV__eq__I__1__1' [194, 2] (w:1, o:169
% 12.55/12.94 , a:1, s:1, b:0),
% 12.55/12.94 'c_ATP__Linkup_Osko__Set__Xball__UNIV__1__2' [195, 2] (w:1, o:170, a:
% 12.55/12.94 1, s:1, b:0),
% 12.55/12.94 'v_h____' [196, 0] (w:1, o:72, a:1, s:1, b:0),
% 12.55/12.94 'v_Lab____' [197, 0] (w:1, o:73, a:1, s:1, b:0),
% 12.55/12.94 'v_Lba____' [198, 0] (w:1, o:74, a:1, s:1, b:0),
% 12.55/12.94 'v_a____' [199, 0] (w:1, o:75, a:1, s:1, b:0),
% 12.55/12.94 'v_b____' [200, 0] (w:1, o:76, a:1, s:1, b:0),
% 12.55/12.94 'c_Arrow__Order__Mirabelle_Ounanimity' [201, 1] (w:1, o:121, a:1, s:1
% 12.55/12.94 , b:0),
% 12.55/12.94 'v_p' [202, 0] (w:1, o:77, a:1, s:1, b:0),
% 12.55/12.94 'c_fequal' [205, 3] (w:1, o:186, a:1, s:1, b:0).
% 12.55/12.94
% 12.55/12.94
% 12.55/12.94 Starting Search:
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94
% 12.55/12.94 Intermediate Status:
% 12.55/12.94 Generated: 7702
% 12.55/12.94 Kept: 2067
% 12.55/12.94 Inuse: 150
% 12.55/12.94 Deleted: 4
% 12.55/12.94 Deletedinuse: 0
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94
% 12.55/12.94 Intermediate Status:
% 12.55/12.94 Generated: 14596
% 12.55/12.94 Kept: 4291
% 12.55/12.94 Inuse: 338
% 12.55/12.94 Deleted: 9
% 12.55/12.94 Deletedinuse: 1
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94
% 12.55/12.94 Intermediate Status:
% 12.55/12.94 Generated: 22240
% 12.55/12.94 Kept: 6353
% 12.55/12.94 Inuse: 451
% 12.55/12.94 Deleted: 9
% 12.55/12.94 Deletedinuse: 1
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94
% 12.55/12.94 Intermediate Status:
% 12.55/12.94 Generated: 31728
% 12.55/12.94 Kept: 9481
% 12.55/12.94 Inuse: 528
% 12.55/12.94 Deleted: 10
% 12.55/12.94 Deletedinuse: 2
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94
% 12.55/12.94 Intermediate Status:
% 12.55/12.94 Generated: 36821
% 12.55/12.94 Kept: 11542
% 12.55/12.94 Inuse: 542
% 12.55/12.94 Deleted: 11
% 12.55/12.94 Deletedinuse: 3
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94
% 12.55/12.94 Intermediate Status:
% 12.55/12.94 Generated: 41450
% 12.55/12.94 Kept: 13562
% 12.55/12.94 Inuse: 558
% 12.55/12.94 Deleted: 11
% 12.55/12.94 Deletedinuse: 3
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94
% 12.55/12.94 Intermediate Status:
% 12.55/12.94 Generated: 47384
% 12.55/12.94 Kept: 15645
% 12.55/12.94 Inuse: 569
% 12.55/12.94 Deleted: 11
% 12.55/12.94 Deletedinuse: 3
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94
% 12.55/12.94 Intermediate Status:
% 12.55/12.94 Generated: 59695
% 12.55/12.94 Kept: 18051
% 12.55/12.94 Inuse: 583
% 12.55/12.94 Deleted: 11
% 12.55/12.94 Deletedinuse: 3
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94
% 12.55/12.94 Intermediate Status:
% 12.55/12.94 Generated: 66624
% 12.55/12.94 Kept: 20676
% 12.55/12.94 Inuse: 603
% 12.55/12.94 Deleted: 11
% 194.56/195.00 Deletedinuse: 3
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00 Resimplifying clauses:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00
% 194.56/195.00 Intermediate Status:
% 194.56/195.00 Generated: 78035
% 194.56/195.00 Kept: 22682
% 194.56/195.00 Inuse: 651
% 194.56/195.00 Deleted: 280
% 194.56/195.00 Deletedinuse: 3
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00
% 194.56/195.00 Intermediate Status:
% 194.56/195.00 Generated: 93787
% 194.56/195.00 Kept: 24727
% 194.56/195.00 Inuse: 690
% 194.56/195.00 Deleted: 342
% 194.56/195.00 Deletedinuse: 10
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00
% 194.56/195.00 Intermediate Status:
% 194.56/195.00 Generated: 106004
% 194.56/195.00 Kept: 28040
% 194.56/195.00 Inuse: 702
% 194.56/195.00 Deleted: 368
% 194.56/195.00 Deletedinuse: 13
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00
% 194.56/195.00 Intermediate Status:
% 194.56/195.00 Generated: 114007
% 194.56/195.00 Kept: 30181
% 194.56/195.00 Inuse: 729
% 194.56/195.00 Deleted: 371
% 194.56/195.00 Deletedinuse: 13
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00
% 194.56/195.00 Intermediate Status:
% 194.56/195.00 Generated: 121433
% 194.56/195.00 Kept: 32310
% 194.56/195.00 Inuse: 763
% 194.56/195.00 Deleted: 377
% 194.56/195.00 Deletedinuse: 13
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00
% 194.56/195.00 Intermediate Status:
% 194.56/195.00 Generated: 127699
% 194.56/195.00 Kept: 34436
% 194.56/195.00 Inuse: 815
% 194.56/195.00 Deleted: 381
% 194.56/195.00 Deletedinuse: 14
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00
% 194.56/195.00 Intermediate Status:
% 194.56/195.00 Generated: 134075
% 194.56/195.00 Kept: 36552
% 194.56/195.00 Inuse: 870
% 194.56/195.00 Deleted: 381
% 194.56/195.00 Deletedinuse: 14
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00
% 194.56/195.00 Intermediate Status:
% 194.56/195.00 Generated: 142016
% 194.56/195.00 Kept: 38610
% 194.56/195.00 Inuse: 930
% 194.56/195.00 Deleted: 386
% 194.56/195.00 Deletedinuse: 14
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00
% 194.56/195.00 Intermediate Status:
% 194.56/195.00 Generated: 156230
% 194.56/195.00 Kept: 40789
% 194.56/195.00 Inuse: 983
% 194.56/195.00 Deleted: 387
% 194.56/195.00 Deletedinuse: 15
% 194.56/195.00
% 194.56/195.00 Resimplifying clauses:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00
% 194.56/195.00 Intermediate Status:
% 194.56/195.00 Generated: 176325
% 194.56/195.00 Kept: 45209
% 194.56/195.00 Inuse: 1005
% 194.56/195.00 Deleted: 1267
% 194.56/195.00 Deletedinuse: 18
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00
% 194.56/195.00 Intermediate Status:
% 194.56/195.00 Generated: 184899
% 194.56/195.00 Kept: 47623
% 194.56/195.00 Inuse: 1007
% 194.56/195.00 Deleted: 1270
% 194.56/195.00 Deletedinuse: 18
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00
% 194.56/195.00 Intermediate Status:
% 194.56/195.00 Generated: 191964
% 194.56/195.00 Kept: 49816
% 194.56/195.00 Inuse: 1023
% 194.56/195.00 Deleted: 1270
% 194.56/195.00 Deletedinuse: 18
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00
% 194.56/195.00 Intermediate Status:
% 194.56/195.00 Generated: 208155
% 194.56/195.00 Kept: 51816
% 194.56/195.00 Inuse: 1068
% 194.56/195.00 Deleted: 1291
% 194.56/195.00 Deletedinuse: 28
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00
% 194.56/195.00 Intermediate Status:
% 194.56/195.00 Generated: 218935
% 194.56/195.00 Kept: 54798
% 194.56/195.00 Inuse: 1081
% 194.56/195.00 Deleted: 1291
% 194.56/195.00 Deletedinuse: 28
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00
% 194.56/195.00 Intermediate Status:
% 194.56/195.00 Generated: 230142
% 194.56/195.00 Kept: 57842
% 194.56/195.00 Inuse: 1113
% 194.56/195.00 Deleted: 1298
% 194.56/195.00 Deletedinuse: 28
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00
% 194.56/195.00 Intermediate Status:
% 194.56/195.00 Generated: 237670
% 194.56/195.00 Kept: 59846
% 194.56/195.00 Inuse: 1127
% 194.56/195.00 Deleted: 1298
% 194.56/195.00 Deletedinuse: 28
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00 Resimplifying clauses:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00
% 194.56/195.00 Intermediate Status:
% 194.56/195.00 Generated: 251291
% 194.56/195.00 Kept: 63039
% 194.56/195.00 Inuse: 1154
% 194.56/195.00 Deleted: 1755
% 194.56/195.00 Deletedinuse: 28
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00
% 194.56/195.00 Intermediate Status:
% 194.56/195.00 Generated: 264485
% 194.56/195.00 Kept: 66599
% 194.56/195.00 Inuse: 1167
% 194.56/195.00 Deleted: 1756
% 194.56/195.00 Deletedinuse: 29
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00
% 194.56/195.00 Intermediate Status:
% 194.56/195.00 Generated: 282094
% 194.56/195.00 Kept: 70012
% 194.56/195.00 Inuse: 1174
% 194.56/195.00 Deleted: 1756
% 194.56/195.00 Deletedinuse: 29
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00
% 194.56/195.00 Intermediate Status:
% 194.56/195.00 Generated: 290049
% 194.56/195.00 Kept: 72020
% 194.56/195.00 Inuse: 1196
% 194.56/195.00 Deleted: 1756
% 194.56/195.00 Deletedinuse: 29
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00
% 194.56/195.00 Intermediate Status:
% 194.56/195.00 Generated: 298731
% 194.56/195.00 Kept: 74086
% 194.56/195.00 Inuse: 1214
% 194.56/195.00 Deleted: 1756
% 194.56/195.00 Deletedinuse: 29
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00
% 194.56/195.00 Intermediate Status:
% 194.56/195.00 Generated: 303651
% 194.56/195.00 Kept: 76108
% 194.56/195.00 Inuse: 1228
% 194.56/195.00 Deleted: 1756
% 194.56/195.00 Deletedinuse: 29
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00
% 194.56/195.00 Intermediate Status:
% 194.56/195.00 Generated: 310428
% 194.56/195.00 Kept: 78189
% 194.56/195.00 Inuse: 1244
% 194.56/195.00 Deleted: 1756
% 194.56/195.00 Deletedinuse: 29
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00 Resimplifying inuse:
% 194.56/195.00 Done
% 194.56/195.00
% 194.56/195.00
% 194.56/195.00 Intermediate Status:
% 194.56/195.00 Generated: 315758
% 194.56/195.00 Kept: 80276
% 194.56/195.00 Inuse: 1252
% 194.56/195.00 Deleted: 1756
% 194.56/195.00 DeletedinuCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------