TSTP Solution File: SCT025-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT025-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 21:00:38 EDT 2022
% Result : Timeout 300.01s 300.47s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SCT025-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sat Jul 2 08:34:47 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.01/1.41 *** allocated 10000 integers for termspace/termends
% 1.01/1.41 *** allocated 10000 integers for clauses
% 1.01/1.41 *** allocated 10000 integers for justifications
% 1.01/1.41 *** allocated 15000 integers for termspace/termends
% 1.01/1.41 *** allocated 22500 integers for termspace/termends
% 1.01/1.41 Bliksem 1.12
% 1.01/1.41
% 1.01/1.41
% 1.01/1.41 Automatic Strategy Selection
% 1.01/1.41
% 1.01/1.41 Clauses:
% 1.01/1.41 [
% 1.01/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.01/1.41 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 1.01/1.41 ) ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.01/1.41 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 1.01/1.41 ) ), Z ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.01/1.41 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Y ), T ) ), Z ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.01/1.41 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), T ), Y ) ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.01/1.41 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.01/1.41 ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.01/1.41 ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.01/1.41 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 1.01/1.41 ) ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.01/1.41 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 1.01/1.41 ) ), Z ) ) ) ],
% 1.01/1.41 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 1.01/1.41 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ) ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.01/1.41 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Otop'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.01/1.41 ), Y ), 'c_Orderings_Otop__class_Otop'( X ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.01/1.41 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.01/1.41 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.01/1.41 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Y ), Z ) ), Z ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.01/1.41 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Y ), Z ) ), Y ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Z ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.01/1.41 Z ) ), Z ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.01/1.41 Z ) ), Y ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.01/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.01/1.41 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.01/1.41 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 1.01/1.41 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 1.01/1.41 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 1.01/1.41 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 1.01/1.41 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 1.01/1.41 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.01/1.41 ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ), hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y
% 1.01/1.41 ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( Y, X ) ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'tc_fun'( Y, X ) ), Z ), T ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.01/1.41 ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 X ), Z ), Y ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 X ), Y ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 X ), Y ), Z ) ) ) ],
% 1.01/1.41 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 1.01/1.41 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.01/1.41 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 1.01/1.41 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'tc_fun'( Y, X ) ), Z ), T ) ), hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_lessequals'( 'tc_fun'( Y, X ) ), T ), Z ) ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_lessequals'( 'tc_fun'( Y, X ) ), Z ), T ) ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Y ), Y ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.01/1.41 ), Y ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.01/1.41 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) )
% 1.01/1.41 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.01/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP(
% 1.01/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), U ), Z ) )
% 1.01/1.41 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 1.01/1.41 , T ) ) ) ],
% 1.01/1.41 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 1.01/1.41 , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 1.01/1.41 [ 'c_Fun_Oinj__on'( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U, T,
% 1.01/1.41 Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), U
% 1.01/1.41 ), 'c_Set_Oimage'( Y, X, Z, T ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.01/1.41 ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), T ) )
% 1.01/1.41 ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.01/1.41 ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( X ), T ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ) ), Y ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.01/1.41 ) ) ), Y ), Y ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 1.01/1.41 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ) ) ) ) ],
% 1.01/1.41 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 1.01/1.41 ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 1.01/1.41 ), =( Y, W ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 1.01/1.41 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Z ), T ) ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Relation_OImage'( Y, hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.01/1.41 , T ), U ), Z, X ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , 'c_Relation_OImage'( Y, T, Z, X ) ), 'c_Relation_OImage'( Y, U, Z, X )
% 1.01/1.41 ) ) ) ],
% 1.01/1.41 [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.01/1.41 'c_Set_Oinsert'( Z, Y, X ) ) ) ],
% 1.01/1.41 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.01/1.41 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.01/1.41 'tc_bool' ) ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.01/1.41 ) ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( X ) ), Y ),
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( X ) ), 'c_Orderings_Otop__class_Otop'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.01/1.41 ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), 'c_Set_Oinsert'( Z,
% 1.01/1.41 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Y ), T ), X ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y,
% 1.01/1.41 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Z ), T ), X ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.01/1.41 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.01/1.41 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Set_Oinsert'( T, Y, X ) ), Z ) ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ) ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.01/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.01/1.41 [ =( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ),
% 1.01/1.41 'c_Set_Oimage'( Y, U, Z, T ), T, Z ), U ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), U ), X ) ) ), ~(
% 1.01/1.41 'c_Fun_Oinj__on'( Y, X, Z, T ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.01/1.41 ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.01/1.41 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), T
% 1.01/1.41 ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 1.01/1.41 ) ), Y ), T ) ) ) ],
% 1.01/1.41 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( Z, 'tc_bool' ) ), Y ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), X ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 X ), Y ), Y ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.01/1.41 ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.01/1.41 ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 1.01/1.41 Z, 'tc_bool' ) ), T ), X ) ) ), ~( hBOOL( hAPP( T, Y ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.01/1.41 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_lessequals'( X ), 'c_Inductive_Ocomplete__lattice__class_Olfp'(
% 1.01/1.41 Y, X ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( Y, Z )
% 1.01/1.41 ), Z ) ) ) ],
% 1.01/1.41 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.01/1.41 , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, X,
% 1.01/1.41 'tc_fun'( U, 'tc_bool' ) ) ),
% 1.01/1.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 1.01/1.41 U, 'tc_bool' ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, hAPP(
% 1.01/1.41 'c_Hilbert__Choice_Oinv__into'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 1.01/1.41 Z, 'tc_bool' ) ), T, Z, U ),
% 1.01/1.41 'c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1'( X, T, Z, U )
% 1.01/1.41 ) ) ) ), ~( 'c_Fun_Oinj__on'( T, 'c_Orderings_Otop__class_Otop'(
% 1.01/1.41 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ],
% 1.01/1.41 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 1.01/1.41 , Y ) ],
% 1.01/1.41 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 1.01/1.41 , Y ) ],
% 1.01/1.41 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.01/1.41 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), X ), Y ) ) ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), X ) )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.41 , U, X ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), T ) ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.41 , U, X ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.41 , U, X ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), U )
% 1.01/1.41 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.41 , U, X ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z )
% 1.01/1.41 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), U ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Set_Oimage'( Y, Z, T, X ) ), 'c_Set_Oimage'( Y, U, T, X ) ) ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), U ) )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 1.01/1.41 , Z ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) )
% 1.01/1.41 , 'c_Set_Oimage'( U, Y, X, T ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X ) ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.01/1.41 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.01/1.41 ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.01/1.41 [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( Z,
% 1.01/1.41 'tc_bool' ) ), X ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 1.01/1.41 Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.01/1.41 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ), Y, U ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.01/1.41 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.01/1.41 Z ), Y ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z,
% 1.01/1.41 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), X ), X, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 1.01/1.41 ) ) ), ~( 'c_Equiv__Relations_Oequiv'( T, Z, X ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.01/1.41 ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ) ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.01/1.41 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), U ) ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Z,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ) )
% 1.01/1.41 , 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ) )
% 1.01/1.41 ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, X ) ) ],
% 1.01/1.41 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP(
% 1.01/1.41 hAPP( X, Z ), W ), U, V0 ), ~( 'c_Finite__Set_Ofold__graph'( X, Y, T, W,
% 1.01/1.41 U, V0 ) ), hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.01/1.41 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.01/1.41 ), 'c_Set_Oinsert'( T, Z, X ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), T )
% 1.01/1.41 , Y ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.01/1.41 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.01/1.41 , Z ), Y ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.01/1.41 ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( T, Z, X
% 1.01/1.41 ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.01/1.41 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.01/1.41 , Z ), Y ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, T, X ) )
% 1.01/1.41 , Z ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.01/1.41 ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Z ) ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.01/1.41 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.01/1.41 ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X
% 1.01/1.41 ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Set_Oinsert'( Y, Z, X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X
% 1.01/1.41 ), Y ), T ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 1.01/1.41 Y, Z, X, T ), U ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ),
% 1.01/1.41 'c_Set_Oimage'( Z, Y, X, T ) ) ) ) ],
% 1.01/1.41 [ ~( =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U ), hAPP(
% 1.01/1.41 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), W ) ) ), =( U, W ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( T ), W ), 'c_Set_Oimage'( Y, X, Z, T ) ) ) ),
% 1.01/1.41 ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), 'c_Set_Oimage'( Y, X, Z, T ) ) )
% 1.01/1.41 ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oimage'( Y, W, U, X ) ), T ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ =( hAPP( X, hAPP( 'c_Hilbert__Choice_Oinv__into'( Y, X, Z, T ), U ) )
% 1.01/1.41 , U ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), 'c_Set_Oimage'( X, Y, Z, T
% 1.01/1.41 ) ) ) ) ],
% 1.01/1.41 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 1.01/1.41 'c_Set_Oimage'( X, W, T, U ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), W )
% 1.01/1.41 ) ],
% 1.01/1.41 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.01/1.41 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.01/1.41 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 1.01/1.41 ) ), X ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 1.01/1.41 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.01/1.41 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.01/1.41 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 1.01/1.41 ) ), X ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 1.01/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_lessequals'( X ), hAPP( Y, Z ) ),
% 1.01/1.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, X ) ) ),
% 1.01/1.41 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( Y
% 1.01/1.41 , Z ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U,
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T
% 1.01/1.41 ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( Y
% 1.01/1.41 , Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( W, Y, U, 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ) ), T ) ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), hAPP( Y, Z ) ),
% 1.01/1.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.01/1.41 T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U )
% 1.01/1.41 , Z ), T ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.01/1.41 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Y
% 1.01/1.41 ) ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ),
% 1.01/1.41 'tc_bool' ), Z ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.01/1.41 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Y ) ),
% 1.01/1.41 hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Z
% 1.01/1.41 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), Z ) ) ) ],
% 1.01/1.41 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), hAPP( Y, U ) )
% 1.01/1.41 , U ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X ) ) ), ~(
% 1.01/1.41 'c_Fun_Oinj__on'( Y, X, Z, T ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( 'c_Fun_Oinj__on'(
% 1.01/1.41 T, Z, X, U ) ), =( hAPP( 'c_Hilbert__Choice_Oinv__into'( Z, T, X, U ),
% 1.01/1.41 hAPP( T, Y ) ), Y ) ],
% 1.01/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_lessequals'( X ), Y ), hAPP(
% 1.01/1.41 'c_Complete__Lattice_OSup__class_OSup'( X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.01/1.41 [ =( 'c_Set_Oinsert'( X, Y, Z ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.01/1.41 , 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.01/1.41 'tc_bool' ) ), Z ) ), Y ) ) ],
% 1.01/1.41 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.01/1.41 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.01/1.41 , 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 1.01/1.41 'tc_bool' ) ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.01/1.41 ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ) ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), T ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ),
% 1.01/1.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 1.01/1.41 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.01/1.41 'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.01/1.41 , hAPP( T, X ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.01/1.41 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Set_Oimage'( Y, hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.01/1.41 , T ), U ), Z, X ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , 'c_Set_Oimage'( Y, T, Z, X ) ), 'c_Set_Oimage'( Y, U, Z, X ) ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 1.01/1.41 Y, Z, T, 'tc_fun'( U, 'tc_bool' ), W ), W, 'tc_fun'( U, 'tc_bool' ) ),
% 1.01/1.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 'c_Set_Oimage'( Z
% 1.01/1.41 , X, W, T ), Y, T, 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.01/1.41 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.01/1.41 'c_Set_Oimage'( X, Y, Z, T ), U, T, 'tc_fun'( W, 'tc_bool' ) ),
% 1.01/1.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBB'( U, X
% 1.01/1.41 , T, 'tc_fun'( W, 'tc_bool' ), Z ), Z, 'tc_fun'( W, 'tc_bool' ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ =( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ),
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, T ),
% 1.01/1.41 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, 'c_Orderings_Otop__class_Otop'(
% 1.01/1.41 'tc_fun'( U, 'tc_bool' ) ), U, Z ), Z, T ) ) ],
% 1.01/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.01/1.41 'c_Complete__Lattice_OSup__class_OSup'( X ), 'c_Set_Oinsert'( Y, Z, X ) )
% 1.01/1.41 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.01/1.41 hAPP( 'c_Complete__Lattice_OSup__class_OSup'( X ), Z ) ) ) ],
% 1.01/1.41 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 1.01/1.41 ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.01/1.41 , Y ), U ), Z, T ) ), =( Y, U ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.01/1.41 hAPP( 'c_Complete__Lattice_OSup__class_OSup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 1.01/1.41 , Z ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( Y, Z, T, X ),
% 1.01/1.41 'c_Set_Oimage'( Y, U, T, X ), 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.01/1.41 'c_Set_Oimage'( Y, 'c_HOL_Ominus__class_Ominus'( Z, U, 'tc_fun'( T,
% 1.01/1.41 'tc_bool' ) ), T, X ) ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), Y ) ],
% 1.01/1.41 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.01/1.41 , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.01/1.41 , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 1.01/1.41 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 1.01/1.41 hAPP( Y, T ) ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.01/1.41 'tc_bool' ) ), Y, Z ) ), =( hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, Y, Z ),
% 1.01/1.41 hAPP( X, T ) ), T ) ],
% 1.01/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_lessequals'( X ), hAPP( 'c_Complete__Lattice_OInf__class_OInf'(
% 1.01/1.41 X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Set_Oimage'( Y, 'c_Set_Ovimage'( Y, Z, T, X ), T, X ) ), Z ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.01/1.41 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.01/1.41 'c_Set_OPow'( Z, X ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.01/1.41 'c_Set_OPow'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.01/1.41 [ =( hAPP( 'c_Complete__Lattice_OSup__class_OSup'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), 'c_Equiv__Relations_Oquotient'( Y, Z, X ) ), Y ), ~(
% 1.01/1.41 'c_Equiv__Relations_Oequiv'( Y, Z, X ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.01/1.41 'c_Complete__Lattice_OInf__class_OInf'( 'tc_fun'( X, 'tc_bool' ) ), Y ) )
% 1.01/1.41 , Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Z ), Y
% 1.01/1.41 ) ) ) ],
% 1.01/1.41 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.01/1.41 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.01/1.41 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 1.01/1.41 ) ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_in'( Z ), Y ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U
% 1.01/1.41 , X, Z ) ) ],
% 1.01/1.41 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.01/1.41 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.01/1.41 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z ) ), X ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 1.01/1.41 , Y ), U ) ) ) ],
% 1.01/1.41 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.01/1.41 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.01/1.41 ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 1.01/1.41 ) ), X ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~(
% 1.01/1.41 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 1.01/1.41 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.01/1.41 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.01/1.41 ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( Z ), Y ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ),
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z ) )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 1.01/1.41 'c_Complete__Lattice_Ocomplete__lattice'(
% 1.01/1.41 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 1.01/1.41 'c_Complete__Lattice_OInf__class_OInf'( X ), 'c_COMBC'( 'c_lessequals'( X
% 1.01/1.41 ), X, X, 'tc_bool' ), 'c_COMBC'( 'c_HOL_Oord__class_Oless'( X ), X, X,
% 1.01/1.41 'tc_bool' ), 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 1.01/1.41 , X ) ],
% 1.01/1.41 [ =( 'c_Relation_OImage'( X, hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ), Y, U ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.01/1.41 , 'c_Relation_OImage'( X, Z, Y, U ) ), 'c_Relation_OImage'( X, T, Y, U )
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Oord'( X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( Y, X ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'tc_fun'( Y, X ) ), T ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), T ) ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.01/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.01/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ), hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.01/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.01/1.41 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.01/1.41 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.01/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.01/1.41 Z ), Y ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.01/1.41 Y ), Z ) ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ) ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ) )
% 1.01/1.41 , 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( T,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ) )
% 1.01/1.41 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z, T, X
% 1.01/1.41 , X ) ), Y ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.01/1.41 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP(
% 1.01/1.41 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ),
% 1.01/1.41 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP(
% 1.01/1.41 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 1.01/1.41 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 1.01/1.41 [ 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Set_Ovimage'( Y, Z, X, T ) ), 'c_Set_Ovimage'( Y, U, X, T ) ) ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), U ) )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.01/1.41 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ) ), Z ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), Z ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.01/1.41 [ 'c_Fun_Obij__betw'( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U, X
% 1.01/1.41 , T, Z ), ~( 'c_Fun_Obij__betw'( Y, X, U, Z, T ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.01/1.41 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.01/1.41 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 1.01/1.41 , 'tc_bool' ) ), T ), Z ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.01/1.41 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.01/1.41 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 1.01/1.41 , 'tc_bool' ) ), Z ), T ) ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.01/1.41 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 1.01/1.41 ), T ) ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.01/1.41 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 1.01/1.41 ), Z ) ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.01/1.41 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 1.01/1.41 ), T ) ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.01/1.41 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 1.01/1.41 ), Z ) ) ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Z ), Y ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.01/1.41 [ =( 'c_Set_Ovimage'( X, hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ), U, Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.01/1.41 , 'c_Set_Ovimage'( X, Z, U, Y ) ), 'c_Set_Ovimage'( X, T, U, Y ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 1.01/1.41 ],
% 1.01/1.41 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.01/1.41 , U ), Y ), Z, T ) ) ],
% 1.01/1.41 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.01/1.41 , Y ), U ), Z, T ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ), T ) ),
% 1.01/1.41 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.01/1.41 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Z ), T ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.01/1.41 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ) ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.01/1.41 hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( U, X ) ), Y ), T ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), T ), Z ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), T ), Z ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), T ), Z ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.01/1.41 X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , T ), Z ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), T ), Z ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ =( 'c_FuncSet_Ocompose'( X, Y, Z, T, U, W ), 'c_FuncSet_Orestrict'(
% 1.01/1.41 'c_COMBB'( Y, Z, U, W, T ), X, T, W ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.01/1.41 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), Z ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.01/1.41 X ), U ), Z ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.01/1.41 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), Z ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.01/1.41 X ), U ), Y ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z, T, U, X )
% 1.01/1.41 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( W, Y,
% 1.01/1.41 U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z, T, U, X )
% 1.01/1.41 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( W, Y,
% 1.01/1.41 U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), U ) ) ), ~(
% 1.01/1.41 'c_Equiv__Relations_Oequiv'( Z, U, X ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ), U ) ) ), ~(
% 1.01/1.41 'c_Equiv__Relations_Oequiv'( Z, U, X ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.01/1.41 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ) )
% 1.01/1.41 , 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Z,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ) )
% 1.01/1.41 ) ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T, X ) ) ],
% 1.01/1.41 [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_in'( U ), Z ), 'c_Set_Oimage'( X, W, T, U ) ) ), ~(
% 1.01/1.41 'c_Fun_Oinj__on'( X, W, T, U ) ) ],
% 1.01/1.41 [ =( 'c_Set_Oinsert'( X, Y, Z ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.01/1.41 , 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( Z ), Z, Z, 'tc_bool' ), X ),
% 1.01/1.41 Z ) ), Y ) ) ],
% 1.01/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.01/1.41 'c_Complete__Lattice_OSup__class_OSup'( X ), 'c_Set_Oinsert'( Y,
% 1.01/1.41 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), X ), X ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.01/1.41 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 Y, 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), X ), 'tc_fun'( X, 'tc_bool' ) ) ), T ) ) ) ],
% 1.01/1.41 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1'( Y, Z, X
% 1.01/1.41 ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.01/1.41 , =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), hAPP( 'c_Complete__Lattice_OSup__class_OSup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Z ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.01/1.41 , 'tc_bool' ) ) ) ],
% 1.01/1.41 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ), Y, U ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 1.01/1.41 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), T ), W ) )
% 1.01/1.41 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), Z )
% 1.01/1.41 , W ) ) ), ~( 'c_Fun_Oinj__on'( X, W, Y, U ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Set_Oimage'( Y, Z, T, X ) ), 'c_Set_Oimage'( Y, U, T, X ) ) ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), U ) )
% 1.01/1.41 ), ~( 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 1.01/1.41 'tc_bool' ) ), T, X ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.01/1.41 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ),
% 1.01/1.41 'c_Set_Oimage'( U, Y, X, T ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ), ~(
% 1.01/1.41 'c_Fun_Oinj__on'( U, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), X, T ) ) ],
% 1.01/1.41 [ =( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'(
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 1.01/1.41 'c_Set_Oimage'( Y, T, X, Z ), Z, X ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ =( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'(
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 1.01/1.41 'c_Set_Oimage'( Y, T, X, Z ), Z, X ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 1.01/1.41 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 1.01/1.41 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 1.01/1.41 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), W
% 1.01/1.41 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) )
% 1.01/1.41 , Y ), W ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ],
% 1.01/1.41 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.01/1.41 , 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( T, 'tc_bool' ) ), T ), U, T ) ), 'c_Set_Ovimage'( X, Z, U, T )
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 1.01/1.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 1.01/1.41 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 1.01/1.41 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 1.01/1.41 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.01/1.41 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), =( Y, T ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.01/1.41 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), =( Y, T ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_prod'( X, T ) ), 'c_Pair'( Y, U, X, T ) ),
% 1.01/1.41 'c_Product__Type_OSigma'( Z, W, X, T ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( T, Y, U, X ) ),
% 1.01/1.41 'c_Product__Type_OSigma'( W, Z, U, X ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.01/1.41 'c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1'( Y, Z, X ) ) ),
% 1.01/1.41 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.01/1.41 'c_Complete__Lattice_OSup__class_OSup'( 'tc_fun'( X, 'tc_bool' ) ), Z ) )
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ 'c_Fun_Obij__betw'( X, Y, Z, T, U ), ~( 'c_Fun_Obij__betw'(
% 1.01/1.41 'c_FuncSet_Orestrict'( X, Y, T, U ), Y, Z, T, U ) ) ],
% 1.01/1.41 [ 'c_Fun_Obij__betw'( 'c_FuncSet_Orestrict'( X, Y, Z, T ), Y, U, Z, T )
% 1.01/1.41 , ~( 'c_Fun_Obij__betw'( X, Y, U, Z, T ) ) ],
% 1.01/1.41 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( U ), hAPP( X, Y ) ), 'c_Set_Oimage'( X,
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.01/1.41 T, 'tc_bool' ) ), T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 1.01/1.41 [ =( 'c_FuncSet_Ocompose'( X, 'c_FuncSet_Orestrict'( 'c_COMBI'( Y ), Z,
% 1.01/1.41 Y, Y ), T, U, Y, Y ), T ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( U, Y )
% 1.01/1.41 ), T ), 'c_FuncSet_Oextensional'( X, U, Y ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_fun'( U, Y ) ), T ), 'c_FuncSet_OPi'( X, 'c_COMBK'( Z,
% 1.01/1.41 'tc_fun'( Y, 'tc_bool' ), U ), U, Y ) ) ) ) ],
% 1.01/1.41 [ =( 'c_FuncSet_Ocompose'( X, Y, 'c_FuncSet_Orestrict'( 'c_COMBI'( Z ),
% 1.01/1.41 X, Z, Z ), Z, Z, T ), Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, T )
% 1.01/1.41 ), Y ), 'c_FuncSet_Oextensional'( X, Z, T ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_fun'( Z, T ) ), Y ), 'c_FuncSet_OPi'( X, 'c_COMBK'( U,
% 1.01/1.41 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), hAPP(
% 1.01/1.41 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 1.01/1.41 'tc_bool' ) ), T ), 'c_Collect'( X, Z ) ) ) ) ) ],
% 1.01/1.41 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ) ],
% 1.01/1.41 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), 'c_Set_Oinsert'( Y
% 1.01/1.41 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.01/1.41 'c_Complete__Lattice_OInf__class_OInf'( 'tc_fun'( X, 'tc_bool' ) ), Z ) )
% 1.01/1.41 ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.01/1.41 'c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1'( Y, Z, X ) ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 1.01/1.41 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), T ) ) ) ],
% 1.01/1.41 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 1.01/1.41 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 1.01/1.41 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 1.01/1.41 Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ =( 'c_Set_Oimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ],
% 1.01/1.41 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.01/1.41 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.01/1.41 , V2, Z, Y ) ) ],
% 1.01/1.41 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.01/1.41 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.01/1.41 , Z, V2, Y ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.01/1.41 Z, Y ) ) ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.01/1.41 Y, X ) ) ) ) ],
% 1.01/1.41 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 1.01/1.41 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 1.01/1.41 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.01/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.01/1.41 'c_Complete__Lattice_OInf__class_OInf'( X ), 'c_Set_Oinsert'( Y, Z, X ) )
% 1.01/1.41 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.01/1.41 hAPP( 'c_Complete__Lattice_OInf__class_OInf'( X ), Z ) ) ) ],
% 1.01/1.41 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 1.01/1.41 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 1.01/1.41 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 1.01/1.41 ],
% 1.01/1.41 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oimage'( X, Y, Z, T ), Z, T ), Y ), ~(
% 1.01/1.41 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.01/1.41 'tc_bool' ) ), Z, T ) ) ],
% 1.01/1.41 [ =( 'c_Collect'( X, Y ), X ) ],
% 1.01/1.41 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.01/1.41 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.01/1.41 'tc_bool' ) ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 1.01/1.41 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 1.01/1.41 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.01/1.41 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 1.01/1.41 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.01/1.41 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.01/1.41 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 1.01/1.41 [ 'c_Fun_Oinj__on'( 'c_COMBI'( X ), Y, X, X ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z,
% 1.01/1.41 'c_Set_Oinsert'( hAPP( Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.01/1.41 T, 'tc_bool' ) ), T ), X, T ) ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X
% 1.01/1.41 ) ), 'c_Set_Oinsert'( Y, hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ), X ) ) ],
% 1.01/1.41 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 1.01/1.41 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 1.01/1.41 X, T ), Y ) ) ) ],
% 1.01/1.41 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 1.01/1.41 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.01/1.41 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X )
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.01/1.41 ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.01/1.41 ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ), Y, U ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 1.01/1.41 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 1.01/1.41 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.01/1.41 'tc_bool' ) ), Y, U ) ) ],
% 1.01/1.41 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 1.01/1.41 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 1.01/1.41 , X, V0, V1, V2, U, V3, V4, T ) ) ],
% 1.01/1.41 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 1.01/1.41 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 1.01/1.41 , W, V0, V1, U, V2, V3, V4, T ) ) ],
% 1.01/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.01/1.41 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 1.01/1.41 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.01/1.41 [ =( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'(
% 1.01/1.41 'c_List_Osko__Equiv__Relations__XquotientE__1__1'( Z, X, Y, T ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, T ) )
% 1.01/1.41 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( T, 'tc_bool' ) ), X ),
% 1.01/1.41 'c_Equiv__Relations_Oquotient'( Z, Y, T ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , hAPP( T, 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1'( X, Y, T
% 1.01/1.41 ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.01/1.41 'tc_bool' ) ) ), T ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~(
% 1.01/1.41 'c_Arrow__Order__Mirabelle_Ounanimity'( Z ) ) ],
% 1.01/1.41 [ ~( =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 1.01/1.41 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 1.01/1.41 ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( Y ), X ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, Z, Y ) ),
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, Y ) ), 'c_Pair'( X, T, Y, Y ) )
% 1.01/1.41 , Z ) ) ],
% 1.01/1.41 [ =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 1.01/1.41 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 1.01/1.41 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, Y ) ), 'c_Pair'( X, T, Y, Y
% 1.01/1.41 ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), U ) ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_in'( Y ), X ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U
% 1.01/1.41 , Z, Y ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , hAPP( Z, U ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( T,
% 1.01/1.41 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, U, T ) ) ) ), hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , hAPP( U, 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, U, T ) )
% 1.01/1.41 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.01/1.41 'tc_bool' ) ) ), T ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.01/1.41 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), U ),
% 1.01/1.41 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~(
% 1.01/1.41 'c_Arrow__Order__Mirabelle_OIIA'( Z ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , hAPP( Z, U ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( U,
% 1.01/1.41 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, T, U ) ) ) ), hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , hAPP( T, 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, T, U ) )
% 1.01/1.41 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.01/1.41 'tc_bool' ) ) ), U ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.01/1.41 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), T ),
% 1.01/1.41 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~(
% 1.01/1.41 'c_Arrow__Order__Mirabelle_OIIA'( Z ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , hAPP( Z, U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( T,
% 1.01/1.41 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, U, T ) ) ) ) ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , hAPP( U, 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, U, T ) )
% 1.01/1.41 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.01/1.41 'tc_bool' ) ) ), T ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.01/1.41 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), U ),
% 1.01/1.41 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~(
% 1.01/1.41 'c_Arrow__Order__Mirabelle_OIIA'( Z ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , hAPP( Z, U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( U,
% 1.01/1.41 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, T, U ) ) ) ) ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , hAPP( T, 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, T, U ) )
% 1.01/1.41 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.01/1.41 'tc_bool' ) ) ), U ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.01/1.41 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), T ),
% 1.01/1.41 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~(
% 1.01/1.41 'c_Arrow__Order__Mirabelle_OIIA'( Z ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), 'c_FuncSet_Orestrict'(
% 1.01/1.41 'c_Hilbert__Choice_Oinv__into'( Z, T, Y, X ), 'c_Set_Oimage'( T, Z, Y, X
% 1.01/1.41 ), X, Y ) ), 'c_FuncSet_OPi'( 'c_Set_Oimage'( T, Z, Y, X ), 'c_COMBK'( Z
% 1.01/1.41 , 'tc_fun'( Y, 'tc_bool' ), X ), X, Y ) ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), 'c_Set_Oimage'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 1.01/1.41 'tc_fun'( U, 'tc_bool' ) ), U, X ) ), 'c_Set_Oimage'( Y,
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( U, 'tc_bool' ) ), U, X ) )
% 1.01/1.41 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.01/1.41 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ), U, X ) ) ],
% 1.01/1.41 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oimage'( Y,
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( U, 'tc_bool' ) ), U, X ) )
% 1.01/1.41 , 'c_Set_Oimage'( Y, 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( U,
% 1.01/1.41 'tc_bool' ) ), U, X ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, T, U, X ) ), ~(
% 1.01/1.41 'c_Fun_Oinj__on'( Y, Z, U, X ) ), 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ), U, X ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ) )
% 1.01/1.41 , 'c_Equiv__Relations_Oquotient'( T, Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( X ), Z ), T ) ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Z ), 'c_Equiv__Relations_Oquotient'( U, W, X ) ) ) ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Z ),
% 1.01/1.41 'c_Equiv__Relations_Oquotient'( U, W, X ) ) ) ), ~(
% 1.01/1.41 'c_Equiv__Relations_Oequiv'( U, W, X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.01/1.41 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), W ) ) ],
% 1.01/1.41 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 1.01/1.41 T, U, Z, Z ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), Y ) ) )
% 1.01/1.41 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_Equiv__Relations_Oquotient'(
% 1.01/1.41 V0, W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, 'tc_bool' )
% 1.01/1.41 ), X ), 'c_Equiv__Relations_Oquotient'( V0, W, Z ) ) ) ), ~(
% 1.01/1.41 'c_Equiv__Relations_Oequiv'( V0, W, Z ) ) ],
% 1.01/1.41 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 1.01/1.41 'c_Set_Oinsert'( Z, 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( W,
% 1.01/1.41 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.01/1.41 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_in'( T ), Y ), W ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 1.01/1.41 ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), 'c_Relation_OImage'( U
% 1.01/1.41 , 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), X ), X, Y ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z,
% 1.01/1.41 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 1.01/1.41 'tc_bool' ) ), U ), U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 U, X ) ), 'c_Pair'( T, Y, U, X ) ), Z ) ) ) ],
% 1.01/1.41 [ =( 'c_FuncSet_Ocompose'( X, 'c_FuncSet_Orestrict'(
% 1.01/1.41 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U, T, Z ), Y, Z, T, Z ),
% 1.01/1.41 'c_FuncSet_Orestrict'( 'c_COMBI'( Z ), X, Z, Z ) ), ~( 'c_Fun_Obij__betw'(
% 1.01/1.41 Y, X, U, Z, T ) ) ],
% 1.01/1.41 [ =( 'c_FuncSet_Ocompose'( 'c_Set_Oimage'( X, Y, Z, T ), X,
% 1.01/1.41 'c_FuncSet_Orestrict'( 'c_Hilbert__Choice_Oinv__into'( Y, X, Z, T ),
% 1.01/1.41 'c_Set_Oimage'( X, Y, Z, T ), T, Z ), T, Z, T ), 'c_FuncSet_Orestrict'(
% 1.01/1.41 'c_COMBI'( T ), 'c_Set_Oimage'( X, Y, Z, T ), T, T ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), 'c_FuncSet_Orestrict'(
% 1.01/1.41 Z, T, X, Y ) ), 'c_FuncSet_OPi'( T, U, X, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( Y ), hAPP( Z, 'c_FuncSet_Osko__FuncSet__XrestrictI__1__1'( T, U,
% 1.01/1.41 Z, X, Y ) ) ), hAPP( U, 'c_FuncSet_Osko__FuncSet__XrestrictI__1__1'( T, U
% 1.01/1.41 , Z, X, Y ) ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), 'c_FuncSet_Orestrict'(
% 1.01/1.41 Z, T, X, Y ) ), 'c_FuncSet_OPi'( T, U, X, Y ) ) ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( X ), 'c_FuncSet_Osko__FuncSet__XrestrictI__1__1'( T, U, Z, X, Y )
% 1.01/1.41 ), T ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Set_Oimage'( Y, Z, T, X ) ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.01/1.41 'tc_fun'( T, X ) ), Y ), 'c_FuncSet_OPi'( Z, 'c_COMBK'( U, 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ), T ), T, X ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Set_Ovimage'( Y, Z, X, T ) ), U ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), 'c_Set_Oimage'( Y, U, X
% 1.01/1.41 , T ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), X, T ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Z ), 'c_Equiv__Relations_Oquotient'( T, U, X ) ) ) ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.01/1.41 'c_Equiv__Relations_Oquotient'( T, U, X ) ) ) ), ~(
% 1.01/1.41 'c_Equiv__Relations_Oequiv'( T, U, X ) ) ],
% 1.01/1.41 [ =( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Collect'( hAPP( 'c_COMBC'(
% 1.01/1.41 'c_COMBB'( 'c_in'( T ), X, T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ),
% 1.01/1.41 'tc_bool' ), Z ), Z, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), Y ), Z ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), hAPP( 'c_Complete__Lattice_OSup__class_OSup'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ) ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.01/1.41 , 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , 'c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1'( Z, Y,
% 1.01/1.41 X ) ), Y ) ) ],
% 1.01/1.41 [ ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.01/1.41 'tc_bool' ) ), Y, Z ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), hAPP( X, T ) ),
% 1.01/1.41 'c_Set_Oimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool'
% 1.01/1.41 ) ), Y, Z ) ) ), =( hAPP( X, T ), hAPP( X,
% 1.01/1.41 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2'( hAPP( X, T ), X, T, Z,
% 1.01/1.41 Y ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 1.01/1.41 'c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1'( X, T, U, Z )
% 1.01/1.41 ), 'c_Set_Oimage'( T, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U,
% 1.01/1.41 'tc_bool' ) ), U, Z ) ) ), ~( 'c_Fun_Oinj__on'( T,
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, Z ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( =( 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2'( hAPP( X, Y ),
% 1.01/1.41 X, Y, Z, T ), Y ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, Z ) ),
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( Z ), hAPP( X, Y ) ), 'c_Set_Oimage'( X,
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, Z ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ =( X, hAPP( Y, 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1'( X, Y
% 1.01/1.41 , Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), 'c_Set_Oimage'( Y,
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, Z ) ) ) )
% 1.01/1.41 , ~( 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 1.01/1.41 'tc_bool' ) ), T, Z ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y,
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, X ) ) ) )
% 1.01/1.41 , ~( 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 1.01/1.41 'tc_bool' ) ), T, X ) ), =( Z,
% 1.01/1.41 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1'( hAPP( Y, Z ), Y, X, T )
% 1.01/1.41 ) ],
% 1.01/1.41 [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0 )
% 1.01/1.41 , ~( 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 1.01/1.41 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 1.01/1.41 'tc_bool' ) ), W ), 'tc_fun'( W, 'tc_bool' ) ), U, W, V0 ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_in'( W ), T ), Z ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) )
% 1.01/1.41 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 1.01/1.41 , 'c_Set_Oinsert'( Z, T, X ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.01/1.41 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y
% 1.01/1.41 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ) ), T ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.01/1.41 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y
% 1.01/1.41 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ) ), T ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.01/1.41 ), 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) )
% 1.01/1.41 ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.01/1.41 'c_Set_Oinsert'( Z, T, X ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.01/1.41 ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X
% 1.01/1.41 ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y,
% 1.01/1.41 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), X ), 'tc_fun'( X, 'tc_bool' ) ) ), T ) ) ), hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( X ), Z ), T ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.01/1.41 ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X
% 1.01/1.41 ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y,
% 1.01/1.41 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), X ), 'tc_fun'( X, 'tc_bool' ) ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) )
% 1.01/1.41 ],
% 1.01/1.41 [ =( 'c_Finite__Set_Osetsum'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 1.01/1.41 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.01/1.41 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, 'tc_nat' ),
% 1.01/1.41 'c_Finite__Set_Osetsum'( X, Y, T, 'tc_nat' ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.01/1.41 T ), Z ), Y ) ) ],
% 1.01/1.41 [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 1.01/1.41 ), ~( hBOOL( hAPP( hAPP( 'c_in'( W ), T ), Z ) ) ), ~(
% 1.01/1.41 'c_Finite__Set_Ofold__graph'( X, Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 1.01/1.41 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 1.01/1.41 'tc_bool' ) ), W ), 'tc_fun'( W, 'tc_bool' ) ), U, W, V0 ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.01/1.41 U ) ) ],
% 1.01/1.41 [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 1.01/1.41 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.01/1.41 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y,
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, X ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.01/1.41 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.41 , T, X ) ) ), =( Y, Z ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.41 , T, X ) ) ), =( Z, T ) ],
% 1.01/1.41 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.01/1.41 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.01/1.41 'tc_bool' ) ) ) ],
% 1.01/1.41 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.01/1.41 'tc_bool' ) ), Y, Z ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Z ), Y ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.01/1.41 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T,
% 1.01/1.41 'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~(
% 1.01/1.41 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 1.01/1.41 ) ],
% 1.01/1.41 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 1.01/1.41 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.01/1.41 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 1.01/1.41 Y, Z ) ) ],
% 1.01/1.41 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.01/1.41 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 1.01/1.41 [ =( X, Y ), =( X, Y ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.01/1.41 Z, Y ) ) ) ],
% 1.01/1.41 [ ~( =( hAPP( X, 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'( X
% 1.01/1.41 , Y ) ), hAPP( 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'( X, Y
% 1.01/1.41 ), Y ) ) ), 'c_Arrow__Order__Mirabelle_Odictator'( X, Y ) ],
% 1.01/1.41 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.01/1.41 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), Y )
% 1.01/1.41 ) ],
% 1.01/1.41 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 1.01/1.41 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 1.01/1.41 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 1.01/1.41 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 1.01/1.41 'tc_bool' ) ), T, U ) ) ],
% 1.01/1.41 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 1.01/1.41 Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =(
% 1.01/1.41 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.01/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.01/1.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 1.01/1.41 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.01/1.41 'tc_bool' ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 1.01/1.41 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z
% 1.01/1.41 ) ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ],
% 1.01/1.41 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 1.01/1.41 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( X, T ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Arrow__Order__Mirabelle_Omkbot'( Z, T ) ) ) ) ],
% 1.01/1.41 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 1.01/1.41 ) ), Z, X ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.01/1.41 'c_Complete__Lattice_OInf__class_OInf'( X ), 'c_Set_Oinsert'( Y,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), Y ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Z ), 'c_Collect'( T, X ) ) ) ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y,
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Z,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 1.01/1.41 U, 'tc_bool' ) ), U, X ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, 'c_Set_Oinsert'(
% 1.01/1.41 Z, T, U ), U, X ) ) ],
% 1.01/1.41 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), hAPP( 'c_Complete__Lattice_OSup__class_OSup'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ) ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ) ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , T ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.01/1.41 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) )
% 1.01/1.41 ],
% 1.01/1.41 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 1.01/1.41 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.01/1.41 , T ), X ), Y ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.01/1.41 , X ), T ), Y ) ) ) ],
% 1.01/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.01/1.41 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 1.01/1.41 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.01/1.41 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( Z ), X ), Y ) ) ],
% 1.01/1.41 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Obij__betw'( X, Y, U, Z, T )
% 1.01/1.41 ) ],
% 1.01/1.41 [ =( 'c_Set_Ovimage'( X, hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ), U, Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 1.01/1.41 , 'c_Set_Ovimage'( X, Z, U, Y ) ), 'c_Set_Ovimage'( X, T, U, Y ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.01/1.41 'c_Complete__Lattice_OInf__class_OInf'( X ), 'c_Set_Oinsert'( Y,
% 1.01/1.41 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), X ), X ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 1.01/1.41 Y, Z, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.01/1.41 'tc_bool' ) ), Y ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Z, T ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), =( X, T ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.01/1.41 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, T ),
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, Y, T ) ) ) ],
% 1.01/1.41 [ =( X, Y ), =( X, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.01/1.41 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), T ),
% 1.01/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, Y ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Z,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Arrow__Order__Mirabelle_Oabove'( T, X, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Z,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , T ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( Y, T ), =( X, T ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, U, T ) ) ) ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.01/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( U, T ) ],
% 1.01/1.41 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 1.01/1.41 Z, T, Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.01/1.41 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, Y ),
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , Z ) ), =( X, T ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 1.01/1.41 Z, T, X ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.01/1.41 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, X ),
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , Z ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, X,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , Z ) ) ), =( T, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.01/1.41 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, X ),
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, X ) ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.01/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, Y ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , Z ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 1.01/1.41 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, U,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , Z ) ) ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.01/1.41 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 1.01/1.41 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( U, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , Z ) ) ), =( Y, T ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.01/1.41 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.01/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 1.01/1.41 [ =( X, Y ), =( Y, X ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.01/1.41 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.01/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, X ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, Y, X ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 1.01/1.41 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( T, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.01/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.01/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, Y ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, Y ) ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( T, Y ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.01/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, T ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, T ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 1.01/1.41 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, U ), =( X, U ), =(
% 1.01/1.41 X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.01/1.41 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 1.01/1.41 Y, Z, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.01/1.41 'tc_bool' ) ), Y ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Z, T ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, T ), =( T, Y ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.01/1.41 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, X ),
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, X ) ) ) ],
% 1.01/1.41 [ =( X, Y ), =( Z, X ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.01/1.41 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), T ),
% 1.01/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, X ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Z, X,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Arrow__Order__Mirabelle_Obelow'( T, Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Z, X,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , T ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( X, T ), =( Y, T ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, U ) ) ) ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.01/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 1.01/1.41 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 1.01/1.41 Z, Y, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.01/1.41 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, T ),
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, X,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , Z ) ), =( X, T ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 1.01/1.41 Z, Y, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.01/1.41 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, T ),
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , Z ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, T,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , Z ) ) ), =( X, T ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.01/1.41 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, T ),
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, Y, T ) ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.01/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, T ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , Z ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 1.01/1.41 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, U ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , Z ) ) ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.01/1.41 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 1.01/1.41 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , Z ) ) ), =( X, U ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.01/1.41 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.01/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 1.01/1.41 [ =( X, Y ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.01/1.41 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.01/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, Y ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, Y ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 1.01/1.41 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( U, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.01/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.01/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( X, Y ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, X, Y ) ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), Z ),
% 1.01/1.41 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, Y ), hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, T,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, Y ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 1.01/1.41 Z, T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), =( Y, T ), =(
% 1.01/1.41 X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.01/1.41 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( T, U ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, X, Z ) ) )
% 1.01/1.41 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, U )
% 1.01/1.41 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), Y ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.01/1.41 'c_SetInterval_Oord_OatLeastLessThan'( Z, T, U, W, X ) ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( T, Y ), W ) ) ), ~( hBOOL( hAPP( hAPP( Z, U ), Y ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 1.01/1.41 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 1.01/1.41 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.01/1.41 [ =( hAPP( 'c_FuncSet_Orestrict'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), Y ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.01/1.41 'c_SetInterval_Oord_OatLeastAtMost'( Z, T, U, X ) ) ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( Z, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.01/1.41 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( Z, T ) ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.01/1.41 'c_SetInterval_Oord_OgreaterThanLessThan'( Z, T, U, X ) ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( Z, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 1.01/1.41 [ =( hAPP( 'c_FuncSet_Ocompose'( X, Y, Z, T, U, W ), V0 ), hAPP( Y, hAPP(
% 1.01/1.41 Z, V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), V0 ), X ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Otop__class_Otop'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.01/1.41 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( Z, U ) ) ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( X ), U ), Y ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexI__1__1'( Y, X, Z ) ) )
% 1.01/1.41 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, T )
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexE__1__1'( Y, X, Z ) ) )
% 1.01/1.41 , ~( hBOOL( hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y )
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 1.01/1.41 , ~( hBOOL( hAPP( X,
% 1.01/1.41 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 1.01/1.41 , X, Z ) ) ) ), ~( hBOOL( hAPP( U,
% 1.01/1.41 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 1.01/1.41 , X, Z ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 1.01/1.41 , ~( hBOOL( hAPP( U,
% 1.01/1.41 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 1.01/1.41 , U, Z ) ) ) ), ~( hBOOL( hAPP( X,
% 1.01/1.41 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 1.01/1.41 , U, Z ) ) ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( T, Y ) )
% 1.01/1.41 , hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XballE__1__1'(
% 1.01/1.41 Z, T, X ) ), Z ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ), ~(
% 1.01/1.41 'c_Fun_Oinj__on'( U, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), X, T ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 1.01/1.41 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~(
% 1.01/1.41 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U,
% 1.01/1.41 'tc_bool' ) ), U, X ) ) ],
% 1.01/1.41 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 1.01/1.41 Y, Z ) ],
% 1.01/1.41 [ =( X, Y ), =( Y, X ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.01/1.41 Z, X ) ) ) ],
% 1.01/1.41 [ =( 'c_Set_Ovimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ],
% 1.01/1.41 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 1.01/1.41 X ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.01/1.41 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.01/1.41 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), T ) ) ) ],
% 1.01/1.41 [ =( hAPP( 'c_FuncSet_Orestrict'( X, Y, Z, T ), U ), 'c_HOL_Oundefined'(
% 1.01/1.41 T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), Y ) ) ],
% 1.01/1.41 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y )
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.01/1.41 [ ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), 'c_Fun_Obij__betw'( X, Y,
% 1.01/1.41 'c_Set_Oimage'( X, Y, Z, T ), Z, T ) ],
% 1.01/1.41 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 1.01/1.41 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.01/1.41 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.01/1.41 ) ), Y ) ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.01/1.41 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 1.01/1.41 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 1.01/1.41 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.01/1.41 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( X ), Y ), T ) ) ), ~( =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , T ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( X ) ), Y ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( X ) ), Y ), Y ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.01/1.41 ) ) ), Y ), Y ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ) ), Y ) ],
% 1.01/1.41 [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T ), hAPP(
% 1.01/1.41 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( T,
% 1.01/1.41 'tc_bool' ) ), Y ), 'c_Set_Oimage'( X, 'c_Orderings_Otop__class_Otop'(
% 1.01/1.41 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ) ],
% 1.01/1.41 [ =( 'c_Set_Oimage'( 'c_FuncSet_Orestrict'( X, Y, Z, T ), Y, Z, T ),
% 1.01/1.41 'c_Set_Oimage'( X, Y, Z, T ) ) ],
% 1.01/1.41 [ 'c_Fun_Obij__betw'( 'c_FuncSet_Ocompose'( X, Y, Z, T, U, W ), X, V0, T
% 1.01/1.41 , W ), ~( 'c_Fun_Obij__betw'( Y, V1, V0, U, W ) ), ~( 'c_Fun_Obij__betw'(
% 1.01/1.41 Z, X, V1, T, U ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.01/1.41 'c_Set_OPow'( Y, X ) ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), T ), Z ), 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.01/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.01/1.41 'c_Complete__Lattice_OInf__class_OInf'( X ),
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), 'c_FuncSet_Orestrict'(
% 1.01/1.41 Z, T, X, Y ) ), 'c_FuncSet_Oextensional'( T, X, Y ) ) ) ],
% 1.01/1.41 [ ~( =( hAPP( X, 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'( Y, X
% 1.01/1.41 , Z, T, U ) ), hAPP( Z, 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'(
% 1.01/1.41 Y, X, Z, T, U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( T, U ) ),
% 1.01/1.41 Z ), 'c_FuncSet_Oextensional'( Y, T, U ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( 'tc_fun'( T, U ) ), X ), 'c_FuncSet_Oextensional'( Y, T, U ) ) )
% 1.01/1.41 ), =( X, Z ) ],
% 1.01/1.41 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.01/1.41 ), Y ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Arrow__Order__Mirabelle_Omktop'( Z, T ) ) ) ) ],
% 1.01/1.41 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.01/1.41 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 1.01/1.41 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.01/1.41 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 1.01/1.41 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.01/1.41 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 1.01/1.41 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.01/1.41 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 1.01/1.41 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.01/1.41 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 1.01/1.41 [ =( 'c_Set_Oimage'( 'c_FuncSet_Ocompose'( X, Y, Z, T, U, W ), X, T, W )
% 1.01/1.41 , 'c_Set_Oimage'( Y, 'c_Set_Oimage'( Z, X, T, U ), U, W ) ) ],
% 1.01/1.41 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 1.01/1.41 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2
% 1.01/1.41 , U, V3, V4, T ) ) ],
% 1.01/1.41 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 1.01/1.41 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U,
% 1.01/1.41 V2, V3, V4, T ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.01/1.41 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'( Y, Z, T, U, X )
% 1.01/1.41 ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, U,
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, W ) ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_in'( X ), W ), hAPP( Z, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( U ), V0 ), Y ) ) ) ],
% 1.01/1.41 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'(
% 1.01/1.41 'c_FuncSet_Orestrict'( X, Y, Z, T ), Y, Z, T ) ) ],
% 1.01/1.41 [ 'c_Fun_Oinj__on'( 'c_FuncSet_Orestrict'( X, Y, Z, T ), Y, Z, T ), ~(
% 1.01/1.41 'c_Fun_Oinj__on'( X, Y, Z, T ) ) ],
% 1.01/1.41 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.01/1.41 Z, X ) ) ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.01/1.41 Y, X ) ) ) ) ],
% 1.01/1.41 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( Y, Z ) ) ) ), ~(
% 1.01/1.41 'c_Record_Oiso__tuple__update__accessor__cong__assist'( U, Y, W, V0 ) ),
% 1.01/1.41 =( hAPP( hAPP( U, X ), Z ), hAPP( hAPP( U, T ), Z ) ) ],
% 1.01/1.41 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, Z ) ) ), ~(
% 1.01/1.41 'c_Record_Oiso__tuple__update__accessor__cong__assist'( T, Y, U, W ) ),
% 1.01/1.41 =( hAPP( hAPP( T, X ), Z ), Z ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y,
% 1.01/1.41 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Z ), T ), X ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 1.01/1.41 ) ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), 'c_Set_Oinsert'( Z,
% 1.01/1.41 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), Y ), T ), X ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y
% 1.01/1.41 ) ) ) ],
% 1.01/1.41 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 1.01/1.41 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Otop__class_Otop'(
% 1.01/1.41 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.01/1.41 [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ),
% 1.01/1.41 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( U, 'tc_bool' ) ), U ), T, U ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), 'c_FuncSet_Ocompose'( Z
% 1.01/1.41 , T, U, X, W, Y ) ), 'c_FuncSet_Oextensional'( Z, X, Y ) ) ) ],
% 1.01/1.41 [ =( 'c_Set_Oinsert'( X,
% 1.01/1.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 1.01/1.41 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ],
% 1.01/1.41 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.01/1.41 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.01/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.01/1.41 'c_Complete__Lattice_OInf__class_OInf'( X ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.01/1.41 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 1.01/1.41 ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, X ) ), 'c_Pair'( T
% 1.01/1.41 , Z, Y, X ) ), 'c_Relation_Oconverse'( U, X, Y ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 1.01/1.41 ), 'c_Relation_Oconverse'( U, Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.01/1.41 'tc_prod'( Y, X ) ), 'c_Pair'( T, Z, Y, X ) ), U ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 1.01/1.41 ), 'c_Relation_Oconverse'( U, Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.01/1.41 'tc_prod'( Y, X ) ), 'c_Pair'( T, Z, Y, X ) ), U ) ) ) ],
% 1.01/1.41 [ =( 'c_Set_Oimage'( X, Y, Z, T ), U ), ~( 'c_Fun_Obij__betw'( X, Y, U,
% 1.01/1.41 Z, T ) ) ],
% 1.01/1.41 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.01/1.41 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.01/1.41 , Z, V2, Y ) ) ],
% 1.01/1.41 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.01/1.41 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.01/1.41 , V2, Z, Y ) ) ],
% 1.01/1.41 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.01/1.41 'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.01/1.41 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 1.01/1.41 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.01/1.41 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL( hAPP(
% 1.01/1.41 hAPP( 'c_in'( Z ), X ), Y ) ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 1.01/1.41 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.01/1.41 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.01/1.41 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.01/1.41 'c_Complete__Lattice_OSup__class_OSup'( X ), 'c_Set_Oinsert'( Y,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), Y ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 1.01/1.41 ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.01/1.41 Z ), U ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 1.01/1.41 ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.01/1.41 Z ), U ) ) ) ],
% 1.01/1.41 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.01/1.41 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y
% 1.01/1.41 ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.01/1.41 , 'tc_bool' ) ), X ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.01/1.41 ],
% 1.01/1.41 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 1.01/1.41 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Z )
% 1.01/1.41 ) ],
% 1.01/1.41 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 1.01/1.41 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 1.01/1.41 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Z )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Z ), 'c_Collect'( T, X ) ) ) ), ~( hBOOL( hAPP( T, Y ) ) ), ~( hBOOL(
% 1.01/1.41 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.01/1.41 [ =( hAPP( 'c_Complete__Lattice_OSup__class_OSup'( 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ) ), 'c_Set_OPow'( Y, X ) ), Y ) ],
% 1.01/1.41 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 1.01/1.41 X, T, U ), Z ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 1.01/1.41 hAPP( X, U ) ) ) ) ],
% 1.01/1.41 [ 'c_Fun_Oinj__on'( 'c_FuncSet_Ocompose'( X, Y, Z, T, U, W ), X, T, W )
% 1.01/1.41 , ~( 'c_Fun_Oinj__on'( Y, V0, U, W ) ), ~( 'c_Fun_Obij__betw'( Z, X, V0,
% 1.01/1.41 T, U ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.01/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 1.01/1.41 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 1.01/1.41 [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ), 'c_Set_Oinsert'( Y,
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 1.01/1.41 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.01/1.41 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.01/1.41 'tc_bool' ) ) ) ],
% 1.01/1.41 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X,
% 1.01/1.41 'tc_bool' ), 'tc_bool' ), Y ), X ), Y ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.01/1.41 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, T ), =( X, T ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.01/1.41 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.01/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.01/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), =( X, T ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, X, Z ) ) )
% 1.01/1.41 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, T )
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 1.01/1.41 ), 'c_SetInterval_Oord_OgreaterThanLessThan'( X, Y, U, T ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.01/1.41 ), 'c_SetInterval_Oord_OgreaterThanLessThan'( X, U, Z, T ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , T ), Z ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.01/1.41 'c_in'( X ), Y ), hAPP( hAPP(
% 1.01/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.01/1.41 , Z ), T ) ) ) ) ],
% 1.01/1.41 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.01/1.41 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y,
% 1.01/1.41 Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 1.01/1.41 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.01/1.41 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 1.01/1.41 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 1.01/1.41 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.01/1.41 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 1.01/1.41 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 1.01/1.41 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 1.01/1.41 ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~(
% 1.01/1.41 hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 1.01/1.41 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.01/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.01/1.41 [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ),
% 1.01/1.41 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool'
% 1.01/1.41 ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Collect'( Z, X ) ) ), ~( hBOOL(
% 1.01/1.41 hAPP( Z, Y ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.01/1.41 'c_Collect'( X, Z ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OatMost'( Z,
% 1.01/1.41 T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), T ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.01/1.41 ), 'c_SetInterval_Oord_OatMost'( X, Z, T ) ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 1.01/1.41 T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 1.01/1.41 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 1.01/1.41 T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 1.01/1.41 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 1.01/1.41 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 1.01/1.41 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 1.01/1.41 , X, Z ) ), T ) ) ],
% 1.01/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 1.01/1.41 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 1.01/1.42 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 1.01/1.42 , U, Z ) ), T ) ) ],
% 1.01/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( T, Y ) )
% 1.01/1.42 , ~( hBOOL( hAPP( T, 'c_ATP__Linkup_Osko__Set__XballE__1__1'( Z, T, X ) )
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 1.01/1.42 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z
% 1.01/1.42 ), X ), Y ) ), =( Y, T ) ],
% 1.01/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XbexI__1__1'(
% 1.01/1.42 Y, Z, X ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~(
% 1.01/1.42 hBOOL( hAPP( Z, T ) ) ) ],
% 1.01/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.01/1.42 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 1.01/1.42 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 1.01/1.42 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 1.01/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.01/1.42 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 1.01/1.42 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 1.06/1.42 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OgreaterThan'(
% 1.06/1.42 Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 1.06/1.42 ), 'c_SetInterval_Oord_OgreaterThan'( X, Y, T ) ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( X,
% 1.06/1.42 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'( Y, Z, X, T, U )
% 1.06/1.42 ) ), ~( hBOOL( hAPP( X, W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W )
% 1.06/1.42 , hAPP( Z, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), V0 ), Y ) ) ) ]
% 1.06/1.42 ,
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 1.06/1.42 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 1.06/1.42 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 1.06/1.42 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.06/1.42 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.06/1.42 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 1.06/1.42 'c_in'( U ), T ), Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y
% 1.06/1.42 , W, X, V0, V1, V2, V3, V4, U ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.06/1.42 'c_in'( U ), Y ), T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 1.06/1.42 , Z, X, V0, V1, V2, V3, V4, U ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.06/1.42 ), 'c_SetInterval_Oord_OatLeastAtMost'( X, U, Z, T ) ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 1.06/1.42 ), 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, U, T ) ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T
% 1.06/1.42 ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 1.06/1.42 ), Z ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T
% 1.06/1.42 ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 1.06/1.42 ), Y ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XbexE__1__1'(
% 1.06/1.42 Y, Z, X ) ), Y ) ), ~( hBOOL( hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.06/1.42 'c_in'( X ), T ), Y ) ) ) ],
% 1.06/1.42 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 1.06/1.42 , X ), Y ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OlessThan'( Z
% 1.06/1.42 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), T ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.06/1.42 ), 'c_SetInterval_Oord_OlessThan'( X, Z, T ) ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP(
% 1.06/1.42 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 1.06/1.42 T, 'tc_fun'( U, 'tc_bool' ) ) ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.06/1.42 Y, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), V1 ), X ) ) )
% 1.06/1.42 ],
% 1.06/1.42 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 1.06/1.42 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 1.06/1.42 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP(
% 1.06/1.42 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 1.06/1.42 T, 'tc_fun'( U, 'tc_bool' ) ) ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.06/1.42 Y, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), V1 ), X ) ) )
% 1.06/1.42 ],
% 1.06/1.42 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 1.06/1.42 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 1.06/1.42 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.06/1.42 ), 'c_SetInterval_Oord_OatLeastLessThan'( U, X, W, Z, T ) ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 1.06/1.42 ), 'c_SetInterval_Oord_OatLeastLessThan'( X, U, Y, W, T ) ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.06/1.42 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 1.06/1.42 hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'( Y, X, Z )
% 1.06/1.42 ) ), ~( hBOOL( hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T )
% 1.06/1.42 , Y ) ) ) ],
% 1.06/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.06/1.42 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 1.06/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.06/1.42 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 1.06/1.42 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 1.06/1.42 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 1.06/1.42 , U, X, Y ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.06/1.42 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( T, U, Z, X, Y ) ), T ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 1.06/1.42 , U, X, Y ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.06/1.42 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( T, U, Z, X, Y ) ), T ) ) ]
% 1.06/1.42 ,
% 1.06/1.42 [ =( hAPP( X, Y ), 'c_HOL_Oundefined'( Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.06/1.42 T ), Y ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( T, Z ) ), X ),
% 1.06/1.42 'c_FuncSet_Oextensional'( U, T, Z ) ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 1.06/1.42 , U, X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), hAPP( Z,
% 1.06/1.42 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( T, U, Z, X, Y ) ) ), hAPP( U,
% 1.06/1.42 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( T, U, Z, X, Y ) ) ) ) ) ],
% 1.06/1.42 [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 1.06/1.42 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'( T, X, Y, Z, U ) ), T )
% 1.06/1.42 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, U ) ), Y ),
% 1.06/1.42 'c_FuncSet_Oextensional'( T, Z, U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.06/1.42 'tc_fun'( Z, U ) ), X ), 'c_FuncSet_Oextensional'( T, Z, U ) ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 1.06/1.42 , U, X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), hAPP( Z,
% 1.06/1.42 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( T, U, Z, X, Y ) ) ), hAPP( U,
% 1.06/1.42 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( T, U, Z, X, Y ) ) ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.06/1.42 'c_Complete__Lattice_OInf__class_OInf'( 'tc_fun'( X, 'tc_bool' ) ), Z ) )
% 1.06/1.42 ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.06/1.42 'c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1'( Y, Z, X ) ), Z )
% 1.06/1.42 ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.06/1.42 'c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1'( Y, Z, X ) ), Z )
% 1.06/1.42 ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.06/1.42 'c_Complete__Lattice_OSup__class_OSup'( 'tc_fun'( X, 'tc_bool' ) ), Z ) )
% 1.06/1.42 ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.06/1.42 'c_List_Osko__Equiv__Relations__XquotientE__1__1'( Y, Z, T, X ) ), Y ) )
% 1.06/1.42 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Z ),
% 1.06/1.42 'c_Equiv__Relations_Oquotient'( Y, T, X ) ) ) ) ],
% 1.06/1.42 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 1.06/1.42 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 1.06/1.42 hAPP( hAPP( 'c_in'( Y ), X ), T ) ) ) ],
% 1.06/1.42 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 1.06/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.06/1.42 hAPP( 'c_in'( Y ), X ), T ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.06/1.42 'c_Set_OPow'( Y, X ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), 'c_FuncSet_Orestrict'(
% 1.06/1.42 Z, T, X, Y ) ), 'c_FuncSet_OPi'( T, 'c_COMBK'( U, 'tc_fun'( Y, 'tc_bool'
% 1.06/1.42 ), X ), X, Y ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.06/1.42 'c_FuncSet_Osko__FuncSet__Xrestrict__in__funcset__1__1'( T, U, Z, X, Y )
% 1.06/1.42 ), T ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), 'c_FuncSet_Orestrict'(
% 1.06/1.42 Z, T, X, Y ) ), 'c_FuncSet_OPi'( T, 'c_COMBK'( U, 'tc_fun'( Y, 'tc_bool'
% 1.06/1.42 ), X ), X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), hAPP( Z,
% 1.06/1.42 'c_FuncSet_Osko__FuncSet__Xrestrict__in__funcset__1__1'( T, U, Z, X, Y )
% 1.06/1.42 ) ), U ) ) ) ],
% 1.06/1.42 [ =( 'c_FuncSet_Ocompose'( X, Y, 'c_FuncSet_Ocompose'( X, Z, T, U, W, V0
% 1.06/1.42 ), U, V0, V1 ), 'c_FuncSet_Ocompose'( X, 'c_FuncSet_Ocompose'( V2, Y, Z
% 1.06/1.42 , W, V0, V1 ), T, U, W, V1 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.06/1.42 V0, V1 ) ), Y ), 'c_FuncSet_OPi'( V3, 'c_COMBK'( V4, 'tc_fun'( V1,
% 1.06/1.42 'tc_bool' ), V0 ), V0, V1 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.06/1.42 W, V0 ) ), Z ), 'c_FuncSet_OPi'( V2, 'c_COMBK'( V3, 'tc_fun'( V0,
% 1.06/1.42 'tc_bool' ), W ), W, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.06/1.42 U, W ) ), T ), 'c_FuncSet_OPi'( X, 'c_COMBK'( V2, 'tc_fun'( W, 'tc_bool'
% 1.06/1.42 ), U ), U, W ) ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), 'c_FuncSet_Ocompose'( Z
% 1.06/1.42 , T, U, X, W, Y ) ), 'c_FuncSet_OPi'( Z, 'c_COMBK'( V0, 'tc_fun'( Y,
% 1.06/1.42 'tc_bool' ), X ), X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( W,
% 1.06/1.42 Y ) ), T ), 'c_FuncSet_OPi'( V1, 'c_COMBK'( V0, 'tc_fun'( Y, 'tc_bool' )
% 1.06/1.42 , W ), W, Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, W ) ), U
% 1.06/1.42 ), 'c_FuncSet_OPi'( Z, 'c_COMBK'( V1, 'tc_fun'( W, 'tc_bool' ), X ), X,
% 1.06/1.42 W ) ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, X ) ), 'c_COMBI'( X ) ),
% 1.06/1.42 'c_FuncSet_OPi'( Y, 'c_COMBK'( Y, 'tc_fun'( X, 'tc_bool' ), X ), X, X ) )
% 1.06/1.42 ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 1.06/1.42 , 'c_COMBK'( U, 'tc_fun'( Y, 'tc_bool' ), X ), X, Y ) ) ), ~(
% 1.06/1.42 'c_Fun_Obij__betw'( Z, T, U, X, Y ) ) ],
% 1.06/1.42 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.06/1.42 'c_Inductive_Ocomplete__lattice__class_Olfp'( 'c_COMBK'( Y, X, X ), X ),
% 1.06/1.42 Y ) ],
% 1.06/1.42 [ =( hAPP( hAPP( X, 'c_COMBK'( hAPP( Y, hAPP( Z, T ) ), U, U ) ), T ),
% 1.06/1.42 hAPP( hAPP( X, Y ), T ) ), ~(
% 1.06/1.42 'c_Record_Oiso__tuple__update__accessor__cong__assist'( X, Z, U, W ) ) ]
% 1.06/1.42 ,
% 1.06/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.06/1.42 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.06/1.42 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.06/1.42 , Z ) ) ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.06/1.42 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.06/1.42 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.06/1.42 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.06/1.42 , Z ) ), =( Y, X ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.06/1.42 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 1.06/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.06/1.42 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.06/1.42 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.06/1.42 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.06/1.42 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 1.06/1.42 [ 'c_Arrow__Order__Mirabelle_OIIA'( X ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.06/1.42 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.06/1.42 'tc_bool' ) ) ), 'v_sko__Arrow__Order__Mirabelle__XIIA__def__2'( X ) ),
% 1.06/1.42 'c_Arrow__Order__Mirabelle_OProf' ) ) ],
% 1.06/1.42 [ 'c_Arrow__Order__Mirabelle_Ounanimity'( X ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.06/1.42 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.06/1.42 'tc_bool' ) ) ), 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2'( X
% 1.06/1.42 ) ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ],
% 1.06/1.42 [ 'c_Arrow__Order__Mirabelle_Odictator'( X, Y ), hBOOL( hAPP( hAPP(
% 1.06/1.42 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.06/1.42 'tc_bool' ) ) ), 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'( X,
% 1.06/1.42 Y ) ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ],
% 1.06/1.42 [ 'c_Arrow__Order__Mirabelle_OIIA'( X ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.06/1.42 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.06/1.42 'tc_bool' ) ) ), 'v_sko__Arrow__Order__Mirabelle__XIIA__def__3'( X ) ),
% 1.06/1.42 'c_Arrow__Order__Mirabelle_OProf' ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 1.06/1.42 , 'c_COMBK'( U, 'tc_fun'( Y, 'tc_bool' ), X ), X, Y ) ) ), ~( hBOOL( hAPP(
% 1.06/1.42 hAPP( 'c_in'( Y ), hAPP( Z, 'c_FuncSet_Osko__FuncSet__XfuncsetI__1__1'( T
% 1.06/1.42 , U, Z, X, Y ) ) ), U ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 1.06/1.42 , 'c_COMBK'( U, 'tc_fun'( Y, 'tc_bool' ), X ), X, Y ) ) ), hBOOL( hAPP(
% 1.06/1.42 hAPP( 'c_in'( X ), 'c_FuncSet_Osko__FuncSet__XfuncsetI__1__1'( T, U, Z, X
% 1.06/1.42 , Y ) ), T ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~(
% 1.06/1.42 hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.06/1.42 'c_in'( 'tc_fun'( U, X ) ), Y ), 'c_FuncSet_OPi'( W, T, U, X ) ) ) ) ]
% 1.06/1.42 ,
% 1.06/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.06/1.42 'c_in'( T ), hAPP( U, Y ) ), hAPP( W, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.06/1.42 'c_in'( 'tc_fun'( X, T ) ), U ), 'c_FuncSet_OPi'( Z, W, X, T ) ) ) ) ]
% 1.06/1.42 ,
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.06/1.42 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.06/1.42 'c_in'( X ), Y ), hAPP( 'c_Complete__Lattice_OInf__class_OInf'( 'tc_fun'(
% 1.06/1.42 X, 'tc_bool' ) ), T ) ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.06/1.42 'c_Complete__Lattice_OSup__class_OSup'( 'tc_fun'( X, 'tc_bool' ) ), Z ) )
% 1.06/1.42 ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.06/1.42 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), T ), Z ) ) ) ],
% 1.06/1.42 [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z,
% 1.06/1.42 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 1.06/1.42 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.06/1.42 Z ), W ), Y ) ) ), =( X, U ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.06/1.42 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Omktop'( X, Y ) ),
% 1.06/1.42 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.06/1.42 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 1.06/1.42 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.06/1.42 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'( X, Y ) ),
% 1.06/1.42 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.06/1.42 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 1.06/1.42 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.06/1.42 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Obelow'( X, Y, Z ) ),
% 1.06/1.42 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.06/1.42 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 1.06/1.42 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, Z ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.06/1.42 'tc_bool' ) ), 'v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1' ),
% 1.06/1.42 'c_Arrow__Order__Mirabelle_OLin' ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.06/1.42 'tc_bool' ) ), X ), 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP(
% 1.06/1.42 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 1.06/1.42 'c_Relation_Oconverse'( X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_OLin' )
% 1.06/1.42 ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.06/1.42 'tc_bool' ) ), 'c_Relation_Oconverse'( X,
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.06/1.42 , 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.06/1.42 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 1.06/1.42 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.06/1.42 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Oabove'( X, Y, Z ) ),
% 1.06/1.42 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.06/1.42 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 1.06/1.42 'c_Arrow__Order__Mirabelle_OLin' ) ) ), =( Y, Z ) ],
% 1.06/1.42 [ =( hAPP( X, Y ), hAPP( Y, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.06/1.42 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.06/1.42 'tc_bool' ) ) ), Y ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~(
% 1.06/1.42 'c_Arrow__Order__Mirabelle_Odictator'( X, Z ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.06/1.42 hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.06/1.42 U, X ) ), Y ), 'c_FuncSet_OPi'( W, 'c_COMBK'( T, 'tc_fun'( X, 'tc_bool' )
% 1.06/1.42 , U ), U, X ) ) ) ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 1.06/1.42 ],
% 1.06/1.42 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 1.06/1.42 ],
% 1.06/1.42 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.06/1.42 'tc_bool' ) ), 'v_L' ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ],
% 1.06/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.06/1.42 'tc_bool' ) ) ), 'c_COMBK'( 'v_L', 'tc_fun'( 'tc_prod'(
% 1.06/1.42 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.06/1.42 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ) ),
% 1.06/1.42 'c_Arrow__Order__Mirabelle_OProf' ) ) ) ],
% 1.06/1.42 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.06/1.42 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 1.06/1.42 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.06/1.42 'class_Lattices_Olattice'( Y ) ) ],
% 1.06/1.42 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.06/1.42 'class_Lattices_Olattice'( Y ) ) ],
% 1.06/1.42 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.06/1.42 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 1.06/1.42 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.06/1.42 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.06/1.42 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.06/1.42 'class_Orderings_Opreorder'( Y ) ) ],
% 1.06/1.42 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.06/1.42 'class_Lattices_Olattice'( Y ) ) ],
% 1.06/1.42 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.06/1.42 'class_Orderings_Oorder'( Y ) ) ],
% 1.06/1.42 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 1.06/1.42 Y ) ) ],
% 1.06/1.42 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.06/1.42 Y ) ) ],
% 1.06/1.42 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.06/1.42 ,
% 1.06/1.42 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 1.06/1.42 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.06/1.42 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 1.06/1.42 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.06/1.42 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.06/1.42 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.06/1.42 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.06/1.42 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.06/1.42 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 1.06/1.42 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 1.06/1.42 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.06/1.42 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.06/1.42 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 1.06/1.42 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.06/1.42 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.06/1.42 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.06/1.42 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.06/1.42 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 1.06/1.42 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.06/1.42 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.06/1.42 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 1.06/1.42 [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 1.06/1.42 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 1.06/1.42 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 1.06/1.42 ] .
% 1.06/1.42
% 1.06/1.42
% 1.06/1.42 percentage equality = 0.268214, percentage horn = 0.843077
% 1.06/1.42 This is a problem with some equality
% 1.06/1.42
% 1.06/1.42
% 1.06/1.42
% 1.06/1.42 Options Used:
% 1.06/1.42
% 1.06/1.42 useres = 1
% 1.06/1.42 useparamod = 1
% 1.06/1.42 useeqrefl = 1
% 1.06/1.42 useeqfact = 1
% 1.06/1.42 usefactor = 1
% 1.06/1.42 usesimpsplitting = 0
% 1.06/1.42 usesimpdemod = 5
% 1.06/1.42 usesimpres = 3
% 1.06/1.42
% 1.06/1.42 resimpinuse = 1000
% 1.06/1.42 resimpclauses = 20000
% 1.06/1.42 substype = eqrewr
% 1.06/1.42 backwardsubs = 1
% 1.06/1.42 selectoldest = 5
% 1.06/1.42
% 1.06/1.42 litorderings [0] = split
% 1.06/1.42 litorderings [1] = extend the termordering, first sorting on arguments
% 1.06/1.42
% 1.06/1.42 termordering = kbo
% 1.06/1.42
% 1.06/1.42 litapriori = 0
% 1.06/1.42 termapriori = 1
% 1.06/1.42 litaposteriori = 0
% 1.06/1.42 termaposteriori = 0
% 1.06/1.42 demodaposteriori = 0
% 1.06/1.42 ordereqreflfact = 0
% 1.06/1.42
% 1.06/1.42 litselect = negord
% 1.06/1.42
% 1.06/1.42 maxweight = 15
% 1.06/1.42 maxdepth = 30000
% 1.06/1.42 maxlength = 115
% 1.06/1.42 maxnrvars = 195
% 1.06/1.42 excuselevel = 1
% 1.06/1.42 increasemaxweight = 1
% 1.06/1.42
% 1.06/1.42 maxselected = 10000000
% 1.06/1.42 maxnrclauses = 10000000
% 1.06/1.42
% 1.06/1.42 showgenerated = 0
% 1.06/1.42 showkept = 0
% 1.06/1.42 showselected = 0
% 1.06/1.42 showdeleted = 0
% 1.06/1.42 showresimp = 1
% 1.06/1.42 showstatus = 2000
% 1.06/1.42
% 1.06/1.42 prologoutput = 1
% 1.06/1.42 nrgoals = 5000000
% 1.06/1.42 totalproof = 1
% 1.06/1.42
% 1.06/1.42 Symbols occurring in the translation:
% 1.06/1.42
% 1.06/1.42 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.06/1.42 . [1, 2] (w:1, o:114, a:1, s:1, b:0),
% 1.06/1.42 ! [4, 1] (w:0, o:76, a:1, s:1, b:0),
% 1.06/1.42 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.06/1.42 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.06/1.42 'class_Lattices_Oupper__semilattice' [40, 1] (w:1, o:81, a:1, s:1, b:
% 1.06/1.42 0),
% 1.06/1.42 'c_lessequals' [41, 1] (w:1, o:82, a:1, s:1, b:0),
% 1.06/1.42 hAPP [43, 2] (w:1, o:139, a:1, s:1, b:0),
% 1.06/1.42 'c_Lattices_Oupper__semilattice__class_Osup' [44, 1] (w:1, o:83, a:1
% 1.06/1.42 , s:1, b:0),
% 1.06/1.42 hBOOL [47, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.06/1.42 'tc_bool' [48, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.06/1.42 'tc_fun' [49, 2] (w:1, o:140, a:1, s:1, b:0),
% 1.06/1.42 'class_Orderings_Oorder' [53, 1] (w:1, o:85, a:1, s:1, b:0),
% 1.06/1.42 'c_HOL_Oord__class_Oless' [56, 1] (w:1, o:86, a:1, s:1, b:0),
% 1.06/1.42 'class_Orderings_Opreorder' [57, 1] (w:1, o:87, a:1, s:1, b:0),
% 1.06/1.42 'c_Set_Oimage' [62, 4] (w:1, o:172, a:1, s:1, b:0),
% 1.06/1.42 'c_COMBB' [63, 5] (w:1, o:191, a:1, s:1, b:0),
% 1.06/1.42 'c_Lattices_Olower__semilattice__class_Oinf' [64, 1] (w:1, o:88, a:1
% 1.06/1.42 , s:1, b:0),
% 1.06/1.42 'class_Lattices_Odistrib__lattice' [65, 1] (w:1, o:89, a:1, s:1, b:0)
% 1.06/1.42 ,
% 1.06/1.42 'class_Orderings_Otop' [66, 1] (w:1, o:90, a:1, s:1, b:0),
% 1.06/1.42 'c_Orderings_Otop__class_Otop' [67, 1] (w:1, o:91, a:1, s:1, b:0),
% 1.06/1.42 'class_Lattices_Olower__semilattice' [68, 1] (w:1, o:92, a:1, s:1, b:
% 1.06/1.42 0),
% 1.06/1.42 'class_Lattices_Olattice' [69, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.06/1.42 'c_Orderings_Obot__class_Obot' [71, 1] (w:1, o:94, a:1, s:1, b:0),
% 1.06/1.42 'c_Fun_Ofun__upd' [73, 5] (w:1, o:192, a:1, s:1, b:0),
% 1.64/2.02 'c_Set_Oinsert' [74, 3] (w:1, o:150, a:1, s:1, b:0),
% 1.64/2.02 'c_in' [75, 1] (w:1, o:95, a:1, s:1, b:0),
% 1.64/2.02 'class_HOL_Oord' [76, 1] (w:1, o:96, a:1, s:1, b:0),
% 1.64/2.02 'class_Orderings_Olinorder' [77, 1] (w:1, o:97, a:1, s:1, b:0),
% 1.64/2.02 'class_Ring__and__Field_Oordered__idom' [78, 1] (w:1, o:98, a:1, s:1
% 1.64/2.02 , b:0),
% 1.64/2.02 'c_HOL_Ominus__class_Ominus' [79, 3] (w:1, o:151, a:1, s:1, b:0),
% 1.64/2.02 'c_Hilbert__Choice_Oinv__into' [80, 4] (w:1, o:173, a:1, s:1, b:0),
% 1.64/2.02 'c_Fun_Oinj__on' [81, 4] (w:1, o:174, a:1, s:1, b:0),
% 1.64/2.02 'class_Lattices_Obounded__lattice' [82, 1] (w:1, o:99, a:1, s:1, b:0)
% 1.64/2.02 ,
% 1.64/2.02 'c_Relation_OImage' [87, 4] (w:1, o:170, a:1, s:1, b:0),
% 1.64/2.02 'c_Finite__Set_Ofold__graph' [88, 6] (w:1, o:203, a:1, s:1, b:0),
% 1.64/2.02 'class_Orderings_Obot' [89, 1] (w:1, o:100, a:1, s:1, b:0),
% 1.64/2.02 'class_Complete__Lattice_Ocomplete__lattice' [93, 1] (w:1, o:101, a:1
% 1.64/2.02 , s:1, b:0),
% 1.64/2.02 'c_Inductive_Ocomplete__lattice__class_Olfp' [94, 2] (w:1, o:141, a:1
% 1.64/2.02 , s:1, b:0),
% 1.64/2.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [96, 4] (w:1
% 1.64/2.02 , o:175, a:1, s:1, b:0),
% 1.64/2.02 'c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1' [97, 4]
% 1.64/2.02 (w:1, o:176, a:1, s:1, b:0),
% 1.64/2.02 'class_OrderedGroup_Opordered__ab__group__add' [98, 1] (w:1, o:102
% 1.64/2.02 , a:1, s:1, b:0),
% 1.64/2.02 'c_Equiv__Relations_Oequiv' [102, 3] (w:1, o:152, a:1, s:1, b:0),
% 1.64/2.02 'tc_prod' [103, 2] (w:1, o:142, a:1, s:1, b:0),
% 1.64/2.02 'c_Pair' [104, 4] (w:1, o:177, a:1, s:1, b:0),
% 1.64/2.02 'c_COMBC' [108, 4] (w:1, o:178, a:1, s:1, b:0),
% 1.64/2.02 'c_Complete__Lattice_OSup__class_OSup' [109, 1] (w:1, o:103, a:1, s:1
% 1.64/2.02 , b:0),
% 1.64/2.02 'c_Complete__Lattice_OInf__class_OInf' [110, 1] (w:1, o:104, a:1, s:1
% 1.64/2.02 , b:0),
% 1.64/2.02 'c_Set_Ovimage' [111, 4] (w:1, o:179, a:1, s:1, b:0),
% 1.64/2.02 'c_Set_OPow' [112, 2] (w:1, o:143, a:1, s:1, b:0),
% 1.64/2.02 'c_Equiv__Relations_Oquotient' [113, 3] (w:1, o:153, a:1, s:1, b:0),
% 1.64/2.02
% 1.64/2.02 'c_Complete__Lattice_Ocomplete__lattice' [114, 9] (w:1, o:206, a:1
% 1.64/2.02 , s:1, b:0),
% 1.64/2.02 'c_Nitpick_Ofold__graph_H' [115, 6] (w:1, o:204, a:1, s:1, b:0),
% 1.64/2.02 'c_Fun_Obij__betw' [116, 5] (w:1, o:193, a:1, s:1, b:0),
% 1.64/2.02 'c_FuncSet_Ocompose' [118, 6] (w:1, o:205, a:1, s:1, b:0),
% 1.64/2.02 'c_FuncSet_Orestrict' [119, 4] (w:1, o:180, a:1, s:1, b:0),
% 1.64/2.02 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3' [120, 4] (w:1, o:181, a:1
% 1.64/2.02 , s:1, b:0),
% 1.64/2.02 'c_fequal' [122, 1] (w:1, o:105, a:1, s:1, b:0),
% 1.64/2.02 'c_Collect' [123, 2] (w:1, o:144, a:1, s:1, b:0),
% 1.64/2.02 'c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1' [124, 3
% 1.64/2.02 ] (w:1, o:154, a:1, s:1, b:0),
% 1.64/2.02 'tc_Arrow__Order__Mirabelle_Oalt' [126, 0] (w:1, o:57, a:1, s:1, b:0)
% 1.64/2.02 ,
% 1.64/2.02 'c_Arrow__Order__Mirabelle_Omkbot' [128, 2] (w:1, o:145, a:1, s:1, b:
% 1.64/2.02 0),
% 1.64/2.02 'c_Product__Type_OSigma' [129, 4] (w:1, o:182, a:1, s:1, b:0),
% 1.64/2.02 'c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1' [130, 3] (w:1
% 1.64/2.02 , o:155, a:1, s:1, b:0),
% 1.64/2.02 'c_COMBI' [131, 1] (w:1, o:106, a:1, s:1, b:0),
% 1.64/2.02 'c_FuncSet_Oextensional' [132, 3] (w:1, o:156, a:1, s:1, b:0),
% 1.64/2.02 'c_COMBK' [133, 3] (w:1, o:157, a:1, s:1, b:0),
% 1.64/2.02 'c_FuncSet_OPi' [134, 4] (w:1, o:183, a:1, s:1, b:0),
% 1.64/2.02 'c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1' [135, 3] (w:1
% 1.64/2.02 , o:158, a:1, s:1, b:0),
% 1.64/2.02 'c_List_Osko__Equiv__Relations__XquotientE__1__1' [145, 4] (w:1, o:
% 1.64/2.02 184, a:1, s:1, b:0),
% 1.64/2.02 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1' [147, 3] (w:1
% 1.64/2.02 , o:159, a:1, s:1, b:0),
% 1.64/2.02 'tc_Arrow__Order__Mirabelle_Oindi' [148, 0] (w:1, o:64, a:1, s:1, b:0
% 1.64/2.02 ),
% 1.64/2.02 'c_Arrow__Order__Mirabelle_OProf' [149, 0] (w:1, o:65, a:1, s:1, b:0)
% 1.64/2.02 ,
% 1.64/2.02 'c_Arrow__Order__Mirabelle_Ounanimity' [150, 1] (w:1, o:107, a:1, s:1
% 1.64/2.02 , b:0),
% 1.64/2.02 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1' [151, 4] (w:1, o:185
% 1.64/2.02 , a:1, s:1, b:0),
% 1.64/2.02 'c_Arrow__Order__Mirabelle_OIIA' [152, 1] (w:1, o:108, a:1, s:1, b:0)
% 1.64/2.02 ,
% 1.64/2.02 'c_FuncSet_Osko__FuncSet__XrestrictI__1__1' [153, 5] (w:1, o:194, a:1
% 1.64/2.02 , s:1, b:0),
% 1.64/2.02 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2' [154, 5] (w:1, o:195
% 1.64/2.02 , a:1, s:1, b:0),
% 1.64/2.02 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1' [155, 4] (w:1, o:186
% 12.27/12.64 , a:1, s:1, b:0),
% 12.27/12.64 'tc_nat' [156, 0] (w:1, o:66, a:1, s:1, b:0),
% 12.27/12.64 'c_Finite__Set_Osetsum' [157, 4] (w:1, o:187, a:1, s:1, b:0),
% 12.27/12.64 'class_OrderedGroup_Oab__group__add' [158, 1] (w:1, o:109, a:1, s:1
% 12.27/12.64 , b:0),
% 12.27/12.64 'c_Arrow__Order__Mirabelle_Omktop' [159, 2] (w:1, o:146, a:1, s:1, b:
% 12.27/12.64 0),
% 12.27/12.64 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1' [160, 2] (w:1, o:
% 12.27/12.64 147, a:1, s:1, b:0),
% 12.27/12.64 'c_Arrow__Order__Mirabelle_Odictator' [161, 2] (w:1, o:148, a:1, s:1
% 12.27/12.64 , b:0),
% 12.27/12.64 'c_Arrow__Order__Mirabelle_Oabove' [162, 3] (w:1, o:160, a:1, s:1, b:
% 12.27/12.64 0),
% 12.27/12.64 'c_Arrow__Order__Mirabelle_OLin' [163, 0] (w:1, o:67, a:1, s:1, b:0)
% 12.27/12.64 ,
% 12.27/12.64 'c_Arrow__Order__Mirabelle_Obelow' [164, 3] (w:1, o:161, a:1, s:1, b:
% 12.27/12.64 0),
% 12.27/12.64 'c_ATP__Linkup_Osko__Set__XbexCI__1__1' [165, 3] (w:1, o:162, a:1, s:
% 12.27/12.64 1, b:0),
% 12.27/12.64 'c_SetInterval_Oord_OatLeastLessThan' [168, 5] (w:1, o:196, a:1, s:1
% 12.27/12.64 , b:0),
% 12.27/12.64 'c_SetInterval_Oord_OatLeastAtMost' [169, 4] (w:1, o:188, a:1, s:1
% 12.27/12.64 , b:0),
% 12.27/12.64 'c_SetInterval_Oord_OgreaterThanLessThan' [170, 4] (w:1, o:189, a:1
% 12.27/12.64 , s:1, b:0),
% 12.27/12.64 'c_ATP__Linkup_Osko__Set__XbexI__1__1' [171, 3] (w:1, o:163, a:1, s:1
% 12.27/12.64 , b:0),
% 12.27/12.64 'c_ATP__Linkup_Osko__Set__XbexE__1__1' [172, 3] (w:1, o:164, a:1, s:1
% 12.27/12.64 , b:0),
% 12.27/12.64 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1' [174,
% 12.27/12.64 4] (w:1, o:190, a:1, s:1, b:0),
% 12.27/12.64 'c_ATP__Linkup_Osko__Set__XballE__1__1' [176, 3] (w:1, o:165, a:1, s:
% 12.27/12.64 1, b:0),
% 12.27/12.64 'c_Relation_Oconverse' [177, 3] (w:1, o:149, a:1, s:1, b:0),
% 12.27/12.64 'c_HOL_Oundefined' [178, 1] (w:1, o:110, a:1, s:1, b:0),
% 12.27/12.64 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1' [179, 5] (w:1, o:
% 12.27/12.64 197, a:1, s:1, b:0),
% 12.27/12.64 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3' [180, 5] (w:1
% 12.27/12.64 , o:198, a:1, s:1, b:0),
% 12.27/12.64 'c_Record_Oiso__tuple__update__accessor__cong__assist' [184, 4] (w:1
% 12.27/12.64 , o:171, a:1, s:1, b:0),
% 12.27/12.64 'c_SetInterval_Oord_OatMost' [187, 3] (w:1, o:166, a:1, s:1, b:0),
% 12.27/12.64 'c_SetInterval_Oord_OgreaterThan' [190, 3] (w:1, o:167, a:1, s:1, b:0
% 12.27/12.64 ),
% 12.27/12.64 'c_SetInterval_Oord_OlessThan' [191, 3] (w:1, o:168, a:1, s:1, b:0),
% 12.27/12.64
% 12.27/12.64 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1' [192, 3] (w:1, o:169, a:1
% 12.27/12.64 , s:1, b:0),
% 12.27/12.64 'c_FuncSet_Osko__FuncSet__XPi__I__1__1' [193, 5] (w:1, o:199, a:1, s:
% 12.27/12.64 1, b:0),
% 12.27/12.64 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1' [194, 5] (w:1, o:200, a:1
% 12.27/12.64 , s:1, b:0),
% 12.27/12.64 'c_FuncSet_Osko__FuncSet__Xrestrict__in__funcset__1__1' [195, 5] (w:1
% 12.27/12.64 , o:201, a:1, s:1, b:0),
% 12.27/12.64 'v_sko__Arrow__Order__Mirabelle__XIIA__def__2' [199, 1] (w:1, o:111
% 12.27/12.64 , a:1, s:1, b:0),
% 12.27/12.64 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2' [200, 1] (w:1
% 12.27/12.64 , o:112, a:1, s:1, b:0),
% 12.27/12.64 'v_sko__Arrow__Order__Mirabelle__XIIA__def__3' [201, 1] (w:1, o:113
% 12.27/12.64 , a:1, s:1, b:0),
% 12.27/12.64 'c_FuncSet_Osko__FuncSet__XfuncsetI__1__1' [202, 5] (w:1, o:202, a:1
% 12.27/12.64 , s:1, b:0),
% 12.27/12.64 'v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1' [203, 0] (w:1, o:72
% 12.27/12.64 , a:1, s:1, b:0),
% 12.27/12.64 'v_L' [204, 0] (w:1, o:73, a:1, s:1, b:0).
% 12.27/12.64
% 12.27/12.64
% 12.27/12.64 Starting Search:
% 12.27/12.64
% 12.27/12.64 Resimplifying inuse:
% 12.27/12.64 Done
% 12.27/12.64
% 12.27/12.64
% 12.27/12.64 Intermediate Status:
% 12.27/12.64 Generated: 6791
% 12.27/12.64 Kept: 2801
% 12.27/12.64 Inuse: 197
% 12.27/12.64 Deleted: 1
% 12.27/12.64 Deletedinuse: 0
% 12.27/12.64
% 12.27/12.64 Resimplifying inuse:
% 12.27/12.64 Done
% 12.27/12.64
% 12.27/12.64 Resimplifying inuse:
% 12.27/12.64 Done
% 12.27/12.64
% 12.27/12.64
% 12.27/12.64 Intermediate Status:
% 12.27/12.64 Generated: 19632
% 12.27/12.64 Kept: 4856
% 12.27/12.64 Inuse: 250
% 12.27/12.64 Deleted: 4
% 12.27/12.64 Deletedinuse: 3
% 12.27/12.64
% 12.27/12.64 Resimplifying inuse:
% 12.27/12.64 Done
% 12.27/12.64
% 12.27/12.64 Resimplifying inuse:
% 12.27/12.64 Done
% 12.27/12.64
% 12.27/12.64
% 12.27/12.64 Intermediate Status:
% 12.27/12.64 Generated: 32247
% 12.27/12.64 Kept: 7101
% 12.27/12.64 Inuse: 330
% 12.27/12.64 Deleted: 4
% 12.27/12.64 Deletedinuse: 3
% 12.27/12.64
% 12.27/12.64 Resimplifying inuse:
% 12.27/12.64 Done
% 12.27/12.64
% 12.27/12.64 Resimplifying inuse:
% 12.27/12.64 Done
% 12.27/12.64
% 12.27/12.64
% 12.27/12.64 Intermediate Status:
% 12.27/12.64 Generated: 41758
% 12.27/12.64 Kept: 9143
% 12.27/12.64 Inuse: 384
% 12.27/12.64 Deleted: 6
% 12.27/12.64 Deletedinuse: 4
% 12.27/12.64
% 12.27/12.64 Resimplifying inuse:
% 12.27/12.64 Done
% 12.27/12.64
% 12.27/12.64 Resimplifying inuse:
% 12.27/12.64 Done
% 12.27/12.64
% 12.27/12.64
% 12.27/12.64 Intermediate Status:
% 12.27/12.64 Generated: 53818
% 12.27/12.64 Kept: 11227
% 12.27/12.64 Inuse: 463
% 12.27/12.64 Deleted: 10
% 12.27/12.64 Deletedinuse: 7
% 12.27/12.64
% 12.27/12.64 Resimplifying inuse:
% 12.27/12.64 Done
% 12.27/12.64
% 12.27/12.64
% 12.27/12.64 Intermediate Status:
% 12.27/12.64 Generated: 67329
% 12.27/12.64 Kept: 14115
% 12.27/12.64 Inuse: 503
% 12.27/12.64 Deleted: 12
% 12.27/12.64 Deletedinuse: 9
% 12.27/12.64
% 12.27/12.64 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 75895
% 117.03/117.42 Kept: 16214
% 117.03/117.42 Inuse: 508
% 117.03/117.42 Deleted: 13
% 117.03/117.42 Deletedinuse: 10
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 85804
% 117.03/117.42 Kept: 18728
% 117.03/117.42 Inuse: 533
% 117.03/117.42 Deleted: 13
% 117.03/117.42 Deletedinuse: 10
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42 Resimplifying clauses:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 100760
% 117.03/117.42 Kept: 22269
% 117.03/117.42 Inuse: 543
% 117.03/117.42 Deleted: 812
% 117.03/117.42 Deletedinuse: 10
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 117938
% 117.03/117.42 Kept: 25220
% 117.03/117.42 Inuse: 598
% 117.03/117.42 Deleted: 813
% 117.03/117.42 Deletedinuse: 11
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 124761
% 117.03/117.42 Kept: 27398
% 117.03/117.42 Inuse: 628
% 117.03/117.42 Deleted: 813
% 117.03/117.42 Deletedinuse: 11
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 131636
% 117.03/117.42 Kept: 29570
% 117.03/117.42 Inuse: 657
% 117.03/117.42 Deleted: 815
% 117.03/117.42 Deletedinuse: 12
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 144340
% 117.03/117.42 Kept: 32516
% 117.03/117.42 Inuse: 677
% 117.03/117.42 Deleted: 815
% 117.03/117.42 Deletedinuse: 12
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 153023
% 117.03/117.42 Kept: 34664
% 117.03/117.42 Inuse: 718
% 117.03/117.42 Deleted: 819
% 117.03/117.42 Deletedinuse: 12
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 162520
% 117.03/117.42 Kept: 36797
% 117.03/117.42 Inuse: 763
% 117.03/117.42 Deleted: 823
% 117.03/117.42 Deletedinuse: 16
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 176153
% 117.03/117.42 Kept: 39113
% 117.03/117.42 Inuse: 818
% 117.03/117.42 Deleted: 824
% 117.03/117.42 Deletedinuse: 17
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42 Resimplifying clauses:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 185726
% 117.03/117.42 Kept: 41170
% 117.03/117.42 Inuse: 838
% 117.03/117.42 Deleted: 1267
% 117.03/117.42 Deletedinuse: 17
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 198813
% 117.03/117.42 Kept: 43245
% 117.03/117.42 Inuse: 855
% 117.03/117.42 Deleted: 1270
% 117.03/117.42 Deletedinuse: 17
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 205691
% 117.03/117.42 Kept: 45331
% 117.03/117.42 Inuse: 859
% 117.03/117.42 Deleted: 1288
% 117.03/117.42 Deletedinuse: 19
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 215026
% 117.03/117.42 Kept: 48062
% 117.03/117.42 Inuse: 861
% 117.03/117.42 Deleted: 1296
% 117.03/117.42 Deletedinuse: 19
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 226042
% 117.03/117.42 Kept: 50222
% 117.03/117.42 Inuse: 870
% 117.03/117.42 Deleted: 1312
% 117.03/117.42 Deletedinuse: 19
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 235278
% 117.03/117.42 Kept: 52225
% 117.03/117.42 Inuse: 897
% 117.03/117.42 Deleted: 1315
% 117.03/117.42 Deletedinuse: 20
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 246256
% 117.03/117.42 Kept: 54296
% 117.03/117.42 Inuse: 932
% 117.03/117.42 Deleted: 1317
% 117.03/117.42 Deletedinuse: 21
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 255537
% 117.03/117.42 Kept: 56480
% 117.03/117.42 Inuse: 967
% 117.03/117.42 Deleted: 1317
% 117.03/117.42 Deletedinuse: 21
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 265271
% 117.03/117.42 Kept: 58518
% 117.03/117.42 Inuse: 992
% 117.03/117.42 Deleted: 1317
% 117.03/117.42 Deletedinuse: 21
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 276022
% 117.03/117.42 Kept: 60521
% 117.03/117.42 Inuse: 1023
% 117.03/117.42 Deleted: 1319
% 117.03/117.42 Deletedinuse: 21
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42 Resimplifying clauses:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 319968
% 117.03/117.42 Kept: 68323
% 117.03/117.42 Inuse: 1045
% 117.03/117.42 Deleted: 2815
% 117.03/117.42 Deletedinuse: 21
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 359114
% 117.03/117.42 Kept: 75101
% 117.03/117.42 Inuse: 1050
% 117.03/117.42 Deleted: 2815
% 117.03/117.42 Deletedinuse: 21
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 370027
% 117.03/117.42 Kept: 77399
% 117.03/117.42 Inuse: 1085
% 117.03/117.42 Deleted: 2815
% 117.03/117.42 Deletedinuse: 21
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 385370
% 117.03/117.42 Kept: 81069
% 117.03/117.42 Inuse: 1110
% 117.03/117.42 Deleted: 2815
% 117.03/117.42 Deletedinuse: 21
% 117.03/117.42
% 117.03/117.42 Resimplifying inuse:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42 Resimplifying clauses:
% 117.03/117.42 Done
% 117.03/117.42
% 117.03/117.42
% 117.03/117.42 Intermediate Status:
% 117.03/117.42 Generated: 3Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------