TSTP Solution File: SCT016-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT016-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 21:00:33 EDT 2022
% Result : Timeout 300.02s 300.46s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SCT016-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n023.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jul 2 01:21:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.44/1.81 *** allocated 10000 integers for termspace/termends
% 1.44/1.81 *** allocated 10000 integers for clauses
% 1.44/1.81 *** allocated 10000 integers for justifications
% 1.44/1.81 *** allocated 15000 integers for termspace/termends
% 1.44/1.81 *** allocated 22500 integers for termspace/termends
% 1.44/1.81 *** allocated 33750 integers for termspace/termends
% 1.44/1.81 *** allocated 50625 integers for termspace/termends
% 1.44/1.81 Bliksem 1.12
% 1.44/1.81
% 1.44/1.81
% 1.44/1.81 Automatic Strategy Selection
% 1.44/1.81
% 1.44/1.81 Clauses:
% 1.44/1.81 [
% 1.44/1.81 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.44/1.81 ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( Y ), hAPP( Z, T ) ), hAPP( Z, U
% 1.44/1.81 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) ), ~( hBOOL(
% 1.44/1.81 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) ) ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.44/1.81 ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ), ~( hBOOL( hAPP(
% 1.44/1.81 hAPP( 'c_lessequals'( Y ), hAPP( U, Z ) ), hAPP( U, T ) ) ) ), ~( hBOOL(
% 1.44/1.81 'c_Orderings_Oorder__class_Ostrict__mono'( U, X, Y ) ) ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.44/1.81 ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( Y ), hAPP( Z, T ) ),
% 1.44/1.81 hAPP( Z, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T
% 1.44/1.81 ), U ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y
% 1.44/1.81 ) ) ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.44/1.81 ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ), ~(
% 1.44/1.81 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( Y ), hAPP( U, Z ) ), hAPP(
% 1.44/1.81 U, T ) ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Ostrict__mono'( U, X,
% 1.44/1.81 Y ) ) ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.44/1.81 ) ), ~( =( hAPP( Z, T ), hAPP( Z, U ) ) ), ~( hBOOL(
% 1.44/1.81 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) ) ), =( T, U ) ]
% 1.44/1.81 ,
% 1.44/1.81 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'class_Orderings_Oorder'( Y ) )
% 1.44/1.81 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( Y ), hAPP( Z, T ) ), hAPP(
% 1.44/1.81 Z, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), U
% 1.44/1.81 ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) )
% 1.44/1.81 ) ],
% 1.44/1.81 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.44/1.81 'c_Set_Oinsert'( Y ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.44/1.81 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.44/1.81 hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ) ), hAPP( Z, U ) ) ), ~(
% 1.44/1.81 hBOOL( hAPP( hAPP( 'c_in'( Y ), U ), T ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.44/1.81 T, Y ) ) ],
% 1.44/1.81 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.44/1.81 'c_Set_Oinsert'( Y ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.44/1.81 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.44/1.81 hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ) ), hAPP( Z, U ) ) ), ~(
% 1.44/1.81 hBOOL( hAPP( hAPP( 'c_in'( Y ), U ), T ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.44/1.81 T, Y ) ) ],
% 1.44/1.81 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y
% 1.44/1.81 , Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.44/1.81 , T ), U ), Y, Z ) ), =( T, U ) ],
% 1.44/1.81 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), hAPP( Y, U ) )
% 1.44/1.81 , U ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X ) ) ), ~(
% 1.44/1.81 'c_Fun_Oinj__on'( Y, X, Z, T ) ) ],
% 1.44/1.81 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( 'c_Fun_Oinj__on'(
% 1.44/1.81 T, Z, X, U ) ), =( hAPP( 'c_Hilbert__Choice_Oinv__into'( Z, T, X, U ),
% 1.44/1.81 hAPP( T, Y ) ), Y ) ],
% 1.44/1.81 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.44/1.81 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.44/1.81 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.44/1.81 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 1.44/1.81 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 1.44/1.81 , Y ) ) ],
% 1.44/1.81 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.81 X, 'tc_bool' ) ), hAPP(
% 1.44/1.81 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.44/1.81 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.44/1.81 X, 'tc_bool' ) ), Z ) ), T ), T ) ],
% 1.44/1.81 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.81 X, 'tc_bool' ) ), Y ), hAPP(
% 1.44/1.81 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.44/1.81 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, 'tc_fun'(
% 1.44/1.81 X, 'tc_bool' ) ), T ) ), Y ) ],
% 1.44/1.81 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.44/1.81 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.81 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 1.44/1.81 'c_Set_Oimage'( X, Y, Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.44/1.81 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ]
% 1.44/1.81 ,
% 1.44/1.81 [ =( hAPP( 'c_Relation_OImage'( X, Y, Z ), hAPP(
% 1.44/1.81 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, 'tc_fun'( Y
% 1.44/1.81 , 'tc_bool' ) ), W ) ), hAPP(
% 1.44/1.81 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, 'tc_fun'( Z
% 1.44/1.81 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.44/1.81 'tc_fun'( Z, 'tc_bool' ), U ), 'c_Relation_OImage'( X, Y, Z ) ), W ) ) )
% 1.44/1.81 ],
% 1.44/1.81 [ 'c_Finite__Set_Ofinite'( hAPP(
% 1.44/1.81 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, 'tc_fun'( Z
% 1.44/1.81 , 'tc_bool' ) ), T ), Z ), ~( 'c_Finite__Set_Ofinite'( hAPP( T, U ), Z )
% 1.44/1.81 ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), U ), X ) ) ) ],
% 1.44/1.81 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( hAPP(
% 1.44/1.81 'c_Set_Oimage'( X, Y, Z ), T ), Z, 'tc_fun'( U, 'tc_bool' ) ), W ), hAPP(
% 1.44/1.81 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, Y, 'tc_fun'( U
% 1.44/1.81 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( Z, 'tc_fun'( U, 'tc_bool' ), Y )
% 1.44/1.81 , W ), X ) ) ) ],
% 1.44/1.81 [ hBOOL( 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ) ],
% 1.44/1.81 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.44/1.81 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.81 , 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ) ]
% 1.44/1.81 ,
% 1.44/1.81 [ =( 'c_Relation_ORange'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 1.44/1.81 'c_Relation_ODomain'( X, Y, Z ) ) ],
% 1.44/1.81 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.44/1.81 , Z ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) )
% 1.44/1.81 ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ), ~( 'c_Finite__Set_Ofinite'( Z,
% 1.44/1.81 Y ) ), =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), U ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.44/1.81 , Z ), T ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.81 'c_Finite__Set_Osetsum'( Y, X ), U ), Z ) ), hAPP( hAPP(
% 1.44/1.81 'c_Finite__Set_Osetsum'( Y, X ), U ), T ) ) ) ],
% 1.44/1.81 [ hBOOL( 'c_Relation_Otrans'( hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( X, X )
% 1.44/1.81 , 'tc_bool' ) ), Y ), 'c_Relation_OId'( X ) ), X ) ), ~( hBOOL(
% 1.44/1.81 'c_Relation_Otrans'( Y, X ) ) ) ],
% 1.44/1.81 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Y ), Z ) ),
% 1.44/1.81 ~( hBOOL( hAPP( hAPP( hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_fun'( W,
% 1.44/1.81 'tc_bool' ) ) ), T ), X ), Y ), Z ) ) ) ],
% 1.44/1.81 [ hBOOL( hAPP( hAPP( hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_fun'( Y,
% 1.44/1.81 'tc_bool' ) ) ), Z ), T ), U ), W ) ), ~( hBOOL( hAPP( hAPP( T, U ), W )
% 1.44/1.81 ) ) ],
% 1.44/1.81 [ hBOOL( hAPP( hAPP( hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_fun'( Y,
% 1.44/1.81 'tc_bool' ) ) ), Z ), T ), U ), W ) ), ~( hBOOL( hAPP( hAPP( Z, U ), W )
% 1.44/1.81 ) ) ],
% 1.44/1.81 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( Y, Y )
% 1.44/1.81 , 'tc_bool' ) ), 'c_Relation_OId'( Y ) ), 'c_Relation_Orel__comp'(
% 1.44/1.81 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ) ],
% 1.44/1.81 [ =( 'c_Product__Type_OSigma'( hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.81 , Y ), Z ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), X ), X, U ), hAPP(
% 1.44/1.81 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 'tc_prod'(
% 1.44/1.81 X, U ), 'tc_bool' ) ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T,
% 1.44/1.81 'tc_fun'( U, 'tc_bool' ), X ), X, U ) ), 'c_Product__Type_OSigma'( Z,
% 1.44/1.81 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), X ), X, U ) ) ) ],
% 1.44/1.81 [ hBOOL( 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z
% 1.44/1.81 , T, U ), Z, U ) ), ~( hBOOL( 'c_Relation_Osingle__valued'( Y, T, U ) ) )
% 1.44/1.81 , ~( hBOOL( 'c_Relation_Osingle__valued'( X, Z, T ) ) ) ],
% 1.44/1.81 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 1.44/1.81 X ) ],
% 1.44/1.81 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.44/1.81 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.44/1.81 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.44/1.81 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.44/1.81 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.44/1.81 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.44/1.81 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.81 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.81 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.81 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.81 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.44/1.81 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.81 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.81 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.81 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.81 , Y ), T ) ) ) ],
% 1.44/1.81 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y,
% 1.44/1.81 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( T, 'tc_fun'( Z,
% 1.44/1.81 'tc_bool' ), Y ), U ), W ) ), hAPP(
% 1.44/1.81 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 1.44/1.81 'c_Set_Oimage'( W, Y, T ), X ), T, 'tc_fun'( Z, 'tc_bool' ) ), U ) ) ]
% 1.44/1.81 ,
% 1.44/1.81 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.44/1.81 hAPP( 'c_lessequals'( X ), hAPP(
% 1.44/1.81 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, X ), T ) ),
% 1.44/1.81 hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), Y ) ) ) ],
% 1.44/1.81 [ hBOOL( 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ) ],
% 1.44/1.81 [ =( 'c_Predicate_Oconversep'( 'c_fequal'( X ), X, X ), 'c_fequal'( X )
% 1.44/1.81 ) ],
% 1.44/1.81 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.44/1.81 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.44/1.81 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.44/1.81 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.44/1.81 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.44/1.81 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.44/1.81 , Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.44/1.81 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y
% 1.44/1.81 , Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 1.44/1.81 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ), =( T, U ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), hAPP( Y, Z ) ), hAPP( Y, T ) ) ), ~(
% 1.44/1.81 hBOOL( hAPP( hAPP( U, Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.44/1.81 'c_Orderings_Oorder_Ostrict__mono'( U, W, X ), Y ) ) ), ~(
% 1.44/1.81 'c_Orderings_Oorder'( V0, U, W ) ) ],
% 1.44/1.81 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.44/1.81 hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z,
% 1.44/1.81 'tc_fun'( X, 'tc_bool' ) ), T ) ), hAPP(
% 1.44/1.81 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, 'tc_fun'( X
% 1.44/1.81 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.81 'tc_fun'( X, 'tc_bool' ), Z ), 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 1.44/1.81 X, 'tc_bool' ) ) ), T ) ) ) ],
% 1.44/1.81 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.44/1.81 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 1.44/1.81 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.44/1.81 X ), hAPP( Y, Z ) ), hAPP( Y, T ) ) ), ~( hBOOL( hAPP( hAPP( U, Z ), T )
% 1.44/1.81 ) ), ~( hBOOL( hAPP( 'c_Orderings_Oorder_Omono'( U, W, X ), Y ) ) ), ~(
% 1.44/1.81 'c_Orderings_Oorder'( U, V0, W ) ) ],
% 1.44/1.81 [ hBOOL( 'c_Relation_Oantisym'( X, Y ) ), ~( hBOOL(
% 1.44/1.81 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ) ],
% 1.44/1.81 [ hBOOL( 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) )
% 1.44/1.81 , ~( hBOOL( 'c_Relation_Oantisym'( X, Y ) ) ) ],
% 1.44/1.81 [ ~( hBOOL( hAPP( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.44/1.81 'tc_fun'( Y, 'tc_bool' ) ) ), Z ), T ) ) ) ],
% 1.44/1.81 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.81 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.44/1.81 X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.81 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.81 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.81 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.44/1.81 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.81 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.44/1.81 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.81 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.81 , Y ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.81 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.44/1.81 [ =( hAPP( 'c_Set_Oimage'( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), T, Z )
% 1.44/1.81 , hAPP( 'c_Set_Oimage'( Y, Z, T ), X ) ), X ), ~( 'c_Fun_Oinj__on'( Y, X
% 1.44/1.81 , Z, T ) ) ],
% 1.44/1.81 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Ovimage'( X, Y, Z ),
% 1.44/1.81 T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.81 Z, 'tc_bool' ) ), T ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 1.44/1.81 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 1.44/1.81 [ hBOOL( 'c_Relation_Otrans'( hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 'tc_prod'( X, X )
% 1.44/1.81 , 'tc_bool' ) ), Y ), Z ), X ) ), ~( hBOOL( 'c_Relation_Otrans'( Z, X ) )
% 1.44/1.81 ), ~( hBOOL( 'c_Relation_Otrans'( Y, X ) ) ) ],
% 1.44/1.81 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.44/1.81 X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.44/1.81 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) )
% 1.44/1.81 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.44/1.81 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP(
% 1.44/1.81 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ) ]
% 1.44/1.81 ,
% 1.44/1.81 [ ~( 'c_Orderings_Oorder'( X, Y, Z ) ), hBOOL( hAPP( hAPP( X, T ), T ) )
% 1.44/1.81 ],
% 1.44/1.81 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.81 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 1.44/1.81 , 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.81 , T ), Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.44/1.81 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.81 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), T ) ) ],
% 1.44/1.81 [ hBOOL( 'c_List_Olistsp'( hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.81 , Y ), Z ), T, X ) ), ~( hBOOL( 'c_List_Olistsp'( Z, T, X ) ) ), ~( hBOOL(
% 1.44/1.81 'c_List_Olistsp'( Y, T, X ) ) ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.44/1.81 ), Y ), Z ) ) ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.44/1.81 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y,
% 1.44/1.81 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( T, 'tc_fun'( Z,
% 1.44/1.81 'tc_bool' ), Y ), U ), W ) ), hAPP(
% 1.44/1.81 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( hAPP(
% 1.44/1.81 'c_Set_Oimage'( W, Y, T ), X ), T, 'tc_fun'( Z, 'tc_bool' ) ), U ) ) ]
% 1.44/1.81 ,
% 1.44/1.81 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 1.44/1.81 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.44/1.81 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.44/1.81 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.44/1.81 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.44/1.81 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.44/1.81 [ ~( =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.81 , Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.44/1.81 Z ) ) ), =( Y, Z ) ],
% 1.44/1.81 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.44/1.81 X ), Y ), Z ) ) ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.44/1.81 X ), Y ), Z ) ) ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.44/1.81 X ), Z ), Y ) ) ) ],
% 1.44/1.81 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_in'( T ), Y ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.44/1.81 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, T, 'tc_fun'( Z
% 1.44/1.81 , 'tc_bool' ) ), X ), Z ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 1.44/1.81 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 1.44/1.81 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 1.44/1.81 , T, U, V0 ), Z, T, V0 ) ) ],
% 1.44/1.81 [ =( 'c_Product__Type_OSigma'( X, hAPP( hAPP( 'c_COMBS'( Y, 'tc_fun'( Z
% 1.44/1.81 , 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.81 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z
% 1.44/1.81 , 'tc_bool' ) ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.81 'tc_fun'( Z, 'tc_bool' ) ) ), T ) ), U ), Y, Z ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 'tc_prod'( Y, Z )
% 1.44/1.81 , 'tc_bool' ) ), 'c_Product__Type_OSigma'( X, T, Y, Z ) ),
% 1.44/1.81 'c_Product__Type_OSigma'( X, U, Y, Z ) ) ) ],
% 1.44/1.81 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.44/1.81 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ) ],
% 1.44/1.81 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.81 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y
% 1.44/1.81 , X ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.44/1.81 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.44/1.81 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), Z )
% 1.44/1.81 , Y ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.44/1.81 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.44/1.81 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 1.44/1.81 , Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.81 'tc_fun'( X, 'tc_bool' ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.81 'tc_fun'( X, 'tc_bool' ) ), Y ) ), Z ) ) ],
% 1.44/1.81 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X ),
% 1.44/1.81 'c_Relation_OId'( X ) ) ],
% 1.44/1.81 [ hBOOL( 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ),
% 1.44/1.81 ~( hBOOL( 'c_Relation_Otrans'( X, Y ) ) ) ],
% 1.44/1.81 [ hBOOL( 'c_Relation_Otrans'( X, Y ) ), ~( hBOOL( 'c_Relation_Otrans'(
% 1.44/1.81 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ) ],
% 1.44/1.81 [ =( 'c_Finite__Set_Olattice_OInf__fin'( X, Y, Z ), hAPP( T, Y ) ), =( Y
% 1.44/1.81 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.44/1.81 'c_Finite__Set_Ofinite'( Y, Z ) ), ~(
% 1.44/1.81 'c_Complete__Lattice_Ocomplete__lattice'( T, U, W, V0, X, V1, V2, V3, Z )
% 1.44/1.81 ) ],
% 1.44/1.81 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 1.44/1.81 T ) ), T ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 1.44/1.81 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ],
% 1.44/1.81 [ hBOOL( 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.44/1.81 Y ) ) ],
% 1.44/1.81 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.44/1.81 hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.44/1.81 ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.44/1.81 hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.44/1.81 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.44/1.81 hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ),
% 1.44/1.81 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.44/1.81 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y,
% 1.44/1.81 X ), Z ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.81 'tc_fun'( Y, 'tc_bool' ) ), T ), U ) ) ), hAPP( hAPP(
% 1.44/1.81 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.44/1.81 , T ), U ) ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.81 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.81 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.44/1.81 U, Y ) ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.44/1.81 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), U ) ),
% 1.44/1.81 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ),
% 1.44/1.81 hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z )
% 1.44/1.81 , U ) ) ) ],
% 1.44/1.81 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.81 'tc_prod'( X, X ), 'tc_bool' ) ), 'c_Transitive__Closure_Otrancl'( Y, X )
% 1.44/1.81 ), 'c_Relation_OId'( X ) ), 'c_Transitive__Closure_Ortrancl'( Y, X ) ) ]
% 1.44/1.81 ,
% 1.44/1.81 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 1.44/1.81 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.44/1.81 [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.81 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U ), ~( 'c_Fun_Oinj__on'( X, Z,
% 1.44/1.81 Y, U ) ) ],
% 1.44/1.81 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.81 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y
% 1.44/1.81 , X ) ) ],
% 1.44/1.81 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Orderings_Obot__class_Obot'(
% 1.44/1.81 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Relation_OId'( X ) )
% 1.44/1.81 ],
% 1.44/1.81 [ hBOOL( hAPP( hAPP( 'c_Predicate_Opred__comp'( X, Y, Z, T, U ), W ), V0
% 1.44/1.81 ) ), ~( hBOOL( hAPP( hAPP( Y, V1 ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( X, W
% 1.44/1.81 ), V1 ) ) ) ],
% 1.44/1.81 [ =( 'c_Transitive__Closure_Ortrancl'( hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( X, X )
% 1.44/1.81 , 'tc_bool' ) ), Y ), 'c_Relation_OId'( X ) ), X ),
% 1.44/1.81 'c_Transitive__Closure_Ortrancl'( Y, X ) ) ],
% 1.44/1.81 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.81 X, 'tc_bool' ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 1.44/1.81 'tc_bool' ) ), Y ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.44/1.81 'tc_bool' ) ) ) ],
% 1.44/1.81 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.81 X, 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X
% 1.44/1.81 , 'tc_bool' ) ), Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.44/1.81 'tc_bool' ) ) ) ],
% 1.44/1.81 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.44/1.81 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Y ),
% 1.44/1.81 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.44/1.81 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP(
% 1.44/1.81 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ),
% 1.44/1.81 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.44/1.81 [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z,
% 1.44/1.81 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 1.44/1.81 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.44/1.81 Z ), W ), Y ) ) ), =( X, U ) ],
% 1.44/1.81 [ hBOOL( 'c_Relation_Oantisym'( hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( X, X )
% 1.44/1.81 , 'tc_bool' ) ), Y ), 'c_Relation_OId'( X ) ), X ) ), ~( hBOOL(
% 1.44/1.81 'c_Relation_Oantisym'( Y, X ) ) ) ],
% 1.44/1.81 [ hBOOL( 'c_Relation_Oantisym'( X, Y ) ), ~( hBOOL(
% 1.44/1.81 'c_Relation_Oantisym'( hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( Y, Y )
% 1.44/1.81 , 'tc_bool' ) ), X ), 'c_Relation_OId'( Y ) ), Y ) ) ) ],
% 1.44/1.81 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 1.44/1.81 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 1.44/1.81 X, Y ), X, Y, Y, Y ) ) ],
% 1.44/1.81 [ =( 'c_Relation_ORange'( 'c_Relation_OId'( X ), X, X ),
% 1.44/1.81 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.44/1.81 [ 'c_Fun_Oinj__on'( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), hAPP(
% 1.44/1.81 'c_Set_Oimage'( Y, Z, T ), X ), T, Z ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T )
% 1.44/1.81 ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'class_Orderings_Oorder'( Y ) )
% 1.44/1.81 , hBOOL( 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ), ~( hBOOL(
% 1.44/1.81 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) ) ) ],
% 1.44/1.81 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.44/1.81 hAPP( 'c_lessequals'( X ), hAPP( Y, Z ) ), hAPP(
% 1.44/1.81 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, X ), Y ) ) )
% 1.44/1.81 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 1.44/1.81 [ =( 'c_Transitive__Closure_Otrancl'( hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( X, X )
% 1.44/1.81 , 'tc_bool' ) ), Y ), 'c_Relation_OId'( X ) ), X ),
% 1.44/1.81 'c_Transitive__Closure_Ortrancl'( Y, X ) ) ],
% 1.44/1.81 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.81 X ), Y ), Z ) ), Z ), Y ) ],
% 1.44/1.81 [ =( 'c_Product__Type_OSigma'( hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.81 , Y ), Z ), T, X, U ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 'tc_prod'( X, U )
% 1.44/1.81 , 'tc_bool' ) ), 'c_Product__Type_OSigma'( Y, T, X, U ) ),
% 1.44/1.81 'c_Product__Type_OSigma'( Z, T, X, U ) ) ) ],
% 1.44/1.81 [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), Z
% 1.44/1.81 , U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y, T, U ),
% 1.44/1.81 'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ],
% 1.44/1.81 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.44/1.81 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.81 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.44/1.81 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL(
% 1.44/1.81 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.44/1.81 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.81 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.81 'tc_fun'( X, 'tc_bool' ) ) ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Y ) ]
% 1.44/1.81 ,
% 1.44/1.81 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y,
% 1.44/1.81 'tc_fun'( Z, 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( Z, 'tc_bool' ), Y ) )
% 1.44/1.81 , T ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) )
% 1.44/1.81 ],
% 1.44/1.81 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.44/1.81 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, X ),
% 1.44/1.81 'c_COMBK'( T, X, Z ) ), T ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.44/1.81 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.44/1.81 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, X,
% 1.44/1.81 T ) ) ],
% 1.44/1.81 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 1.44/1.81 ), ~( 'c_Orderings_Oorder'( X, T, U ) ) ],
% 1.44/1.81 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), Y ),
% 1.44/1.81 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.44/1.81 'tc_bool' ) ), Y, Z ) ), ~( 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.44/1.81 [ hBOOL( 'c_Predicate_ODomainP'( X, Y, Z, T ) ), ~( hBOOL( hAPP( hAPP( X
% 1.44/1.81 , Y ), U ) ) ) ],
% 1.44/1.81 [ hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'( X, Y ) ) ), ~( hBOOL( hAPP(
% 1.44/1.81 X, Z ) ) ), =( 'c_Hilbert__Choice_OEps'( X, Y ), Z ) ],
% 1.44/1.81 [ hBOOL( 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 1.44/1.81 ) ) ],
% 1.44/1.81 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.44/1.81 hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z,
% 1.44/1.81 'tc_fun'( X, 'tc_bool' ) ), T ) ), hAPP(
% 1.44/1.81 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, 'tc_fun'( X
% 1.44/1.81 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.81 'tc_fun'( X, 'tc_bool' ), Z ), 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 1.44/1.81 X, 'tc_bool' ) ) ), T ) ) ) ],
% 1.44/1.81 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~(
% 1.44/1.81 'c_Lattices_Oboolean__algebra'( T, X, U, W, V0, V1, V2, V3, V4 ) ), =( Y
% 1.44/1.81 , Z ) ],
% 1.44/1.81 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.81 X ), Y ), Z ) ), T ) ) ],
% 1.44/1.81 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.44/1.81 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.81 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.44/1.81 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.44/1.81 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.44/1.81 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.81 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.44/1.81 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.44/1.81 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.81 X ), Y ), Z ) ), T ) ) ],
% 1.44/1.81 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.81 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.44/1.81 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.44/1.81 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.44/1.81 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.81 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.44/1.81 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.44/1.81 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( Y, Y )
% 1.44/1.81 , 'tc_bool' ) ), 'c_Transitive__Closure_Otrancl'( X, Y ) ),
% 1.44/1.81 'c_Relation_OId'( Y ) ) ) ],
% 1.44/1.81 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 1.44/1.81 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 1.44/1.81 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 1.44/1.81 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 1.44/1.81 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 1.44/1.81 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 1.44/1.81 [ ~( =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U ), hAPP(
% 1.44/1.81 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), W ) ) ), =( U, W ), ~(
% 1.44/1.81 hBOOL( hAPP( hAPP( 'c_in'( T ), W ), hAPP( 'c_Set_Oimage'( Y, Z, T ), X )
% 1.44/1.81 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), hAPP( 'c_Set_Oimage'( Y,
% 1.44/1.81 Z, T ), X ) ) ) ) ],
% 1.44/1.81 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.44/1.81 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.44/1.81 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 1.44/1.81 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 1.44/1.81 Y, Z, X, T ), U ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), hAPP(
% 1.44/1.81 'c_Set_Oimage'( Z, X, T ), Y ) ) ) ) ],
% 1.44/1.81 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), T
% 1.44/1.81 ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Z, T ) ),
% 1.44/1.81 hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ) ), hBOOL( hAPP(
% 1.44/1.81 hAPP( 'c_in'( Y ), T ), U ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ]
% 1.44/1.81 ,
% 1.44/1.81 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.81 ), Y ), hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.44/1.81 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, 'tc_fun'(
% 1.44/1.81 X, 'tc_bool' ) ), T ) ), Y ) ],
% 1.44/1.81 [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ), hBOOL(
% 1.44/1.81 'c_Relation_Osym'( X, Y ) ) ],
% 1.44/1.81 [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~( hBOOL( 'c_Relation_Osym'(
% 1.44/1.81 X, Y ) ) ) ],
% 1.44/1.81 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 1.44/1.81 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.81 'tc_fun'( X, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), U ) ) ),
% 1.44/1.81 hAPP( 'c_Set_Oimage'( Y, Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.81 'tc_fun'( Z, 'tc_bool' ) ), U ), T ) ) ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.81 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, U, Z, X ) ), ~(
% 1.44/1.81 'c_Fun_Oinj__on'( Y, T, Z, X ) ), 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.44/1.81 , T ), U ), Z, X ) ],
% 1.44/1.81 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.81 X, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), U ) ) ),
% 1.44/1.81 hAPP( 'c_Set_Oimage'( Y, Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.81 'tc_fun'( Z, 'tc_bool' ) ), U ), T ) ) ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.81 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.44/1.81 , T ), U ), Z, X ) ) ],
% 1.44/1.81 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.81 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.81 , Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 1.44/1.81 , 'tc_bool' ) ), Y ), Z ) ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_lessequals'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.44/1.81 [ hBOOL( 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ) ]
% 1.44/1.81 ,
% 1.44/1.81 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.44/1.81 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.44/1.81 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.44/1.81 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.44/1.81 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.44/1.81 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.44/1.81 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.44/1.81 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.44/1.81 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.44/1.81 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.44/1.81 [ =( 'c_Relation_ODomain'( 'c_Relation_OId'( X ), X, X ),
% 1.44/1.81 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.44/1.81 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.44/1.81 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.44/1.81 [ =( 'c_Predicate_Oconversep'( hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_fun'( Y,
% 1.44/1.81 'tc_bool' ) ) ), Z ), T ), X, Y ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_fun'( X,
% 1.44/1.81 'tc_bool' ) ) ), 'c_Predicate_Oconversep'( Z, X, Y ) ),
% 1.44/1.81 'c_Predicate_Oconversep'( T, X, Y ) ) ) ],
% 1.44/1.81 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.81 ), Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.81 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.81 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ) ],
% 1.44/1.81 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP(
% 1.44/1.81 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.81 [ =( hAPP( 'c_Relation_OImage'( 'c_Relation_OId'( X ), X, X ), Y ), Y )
% 1.44/1.81 ],
% 1.44/1.81 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.44/1.81 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.44/1.81 [ =( hAPP( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), hAPP( Y, U ) ), U ),
% 1.44/1.81 ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X ) ) ), ~( 'c_Fun_Oinj__on'( Y,
% 1.44/1.81 X, Z, T ) ) ],
% 1.44/1.81 [ ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), =( hAPP( 'c_Fun_Othe__inv__into'(
% 1.44/1.81 Y, X, Z, T ), hAPP( X, U ) ), U ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U )
% 1.44/1.81 , Y ) ) ) ],
% 1.44/1.81 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.44/1.81 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.44/1.81 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.44/1.81 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.44/1.81 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.81 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.44/1.81 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.44/1.81 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.44/1.81 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.81 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.44/1.81 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Y ), Z ) ), Y ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.44/1.82 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y
% 1.44/1.82 ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.82 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.82 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z ),
% 1.44/1.82 ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.44/1.82 [ =( hAPP( X, hAPP( 'c_Fun_Othe__inv__into'( Y, X, Z, T ), U ) ), U ),
% 1.44/1.82 ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), hAPP( 'c_Set_Oimage'( X, Z, T ),
% 1.44/1.82 Y ) ) ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ) ],
% 1.44/1.82 [ =( 'c_Finite__Set_Olattice_OSup__fin'( X, Y, Z ), hAPP( T, Y ) ), =( Y
% 1.44/1.82 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.44/1.82 'c_Finite__Set_Ofinite'( Y, Z ) ), ~(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice'( U, T, W, V0, V1, X, V2, V3, Z )
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.44/1.82 , T ), U ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y,
% 1.44/1.82 X ), Z ), T ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) )
% 1.44/1.82 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.44/1.82 , T ), U ) ) ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ), ~(
% 1.44/1.82 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ),
% 1.44/1.82 'c_Lattices_Odistrib__lattice'( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.44/1.82 'c_lessequals'( X ) ), hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ) ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), X ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.82 ), T ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T
% 1.44/1.82 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) )
% 1.44/1.82 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) )
% 1.44/1.82 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.44/1.82 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y
% 1.44/1.82 ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), X ) ),
% 1.44/1.82 ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.44/1.82 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), Y ), X ), ~( 'c_Finite__Set_Ofinite'(
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 1.44/1.82 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.44/1.82 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 1.44/1.82 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.44/1.82 Y, Y ) ) ],
% 1.44/1.82 [ ~( 'class_HOL_Ouminus'( 't_b' ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( 't_a', 't_b' ) ), 'v_A' ),
% 1.44/1.82 'v_x' ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 't_b' ), hAPP( 'v_A',
% 1.44/1.82 'v_x' ) ) ) ],
% 1.44/1.82 [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'(
% 1.44/1.82 'c_Relation_Oconverse'( 'v_r', 't_a', 't_b' ), 't_b', 't_a' ) ) ],
% 1.44/1.82 [ =( hAPP( X, hAPP( 'c_Hilbert__Choice_Oinv__into'( Y, X, Z, T ), U ) )
% 1.44/1.82 , U ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), hAPP( 'c_Set_Oimage'( X, Z
% 1.44/1.82 , T ), Y ) ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.44/1.82 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.44/1.82 Z ) ), Y ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.44/1.82 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.44/1.82 Z ) ), Z ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Z ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( 't_a', X ) ), Y ), 'v_x' ),
% 1.44/1.82 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( Y, 'v_x' ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.82 ), Y ) ), Z ) ), Z ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~(
% 1.44/1.82 'class_Lattices_Oupper__semilattice'( Y ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y ), hAPP( Z, T ) ), hAPP(
% 1.44/1.82 Z, U ) ) ), hAPP( Z, hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), U ) ) ) ), ~(
% 1.44/1.82 hBOOL( 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ) ) ],
% 1.44/1.82 [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Oconversep'( X, Y, Z ), Z, Y
% 1.44/1.82 ), X ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, 'tc_fun'( Y
% 1.44/1.82 , 'tc_bool' ) ), W ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, 'tc_fun'( Z
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ), U ), 'c_Set_Oimage'( X, Y, Z ) ), W ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 1.44/1.82 , hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z ) ), X ) ) ],
% 1.44/1.82 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T
% 1.44/1.82 ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), X ) )
% 1.44/1.82 ],
% 1.44/1.82 [ =( hAPP( 'c_Relation_OImage'( X, Y, Z ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.44/1.82 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Relation_OImage'( X, Y, Z ), T ) ),
% 1.44/1.82 hAPP( 'c_Relation_OImage'( X, Y, Z ), U ) ) ), ~( hBOOL(
% 1.44/1.82 'c_Relation_Osingle__valued'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) )
% 1.44/1.82 ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, 'tc_fun'( Z
% 1.44/1.82 , 'tc_bool' ) ), W ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, 'tc_fun'( Y
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ), U ), 'c_Set_Ovimage'( X, Y, Z ) ), W ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.82 ), Y ), hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z,
% 1.44/1.82 T, 'tc_fun'( X, 'tc_bool' ) ), U ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ), T ), hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), Y ) ), U ) ) ), =( Z,
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), 'c_COMBK'( 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ), Y ) ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.44/1.82 [ =( 'c_Relation_OField'( X, Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.44/1.82 , 'c_Relation_ODomain'( X, Y, Y ) ), 'c_Relation_ORange'( X, Y, Y ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ],
% 1.44/1.82 [ =( 'c_Relation_ODomain'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 1.44/1.82 'c_Relation_ORange'( X, Y, Z ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), hAPP( Z, Y ) ), T ), ~(
% 1.44/1.82 'c_Lattices_Oboolean__algebra'( U, Z, W, V0, V1, X, V2, T, V3 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), hAPP( Z, Y ) ), T ), ~(
% 1.44/1.82 'c_Lattices_Oboolean__algebra'( U, Z, W, V0, X, V1, T, V2, V3 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), Z ), T ), ~(
% 1.44/1.82 'c_Lattices_Oboolean__algebra'( U, Y, W, V0, V1, X, V2, T, V3 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), Z ), T ), ~(
% 1.44/1.82 'c_Lattices_Oboolean__algebra'( U, Y, W, V0, X, V1, T, V2, V3 ) ) ],
% 1.44/1.82 [ =( hAPP( X, hAPP( X, Y ) ), Y ), ~( 'c_Lattices_Oboolean__algebra'( Z
% 1.44/1.82 , X, T, U, W, V0, V1, V2, V3 ) ) ],
% 1.44/1.82 [ ~( 'c_Lattices_Oboolean__algebra'( X, Y, Z, T, U, W, hAPP( hAPP( U, V0
% 1.44/1.82 ), V1 ), hAPP( hAPP( W, V0 ), V1 ), V2 ) ), =( hAPP( Y, V0 ), V1 ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ =( hAPP( X, Y ), Z ), ~( 'c_Lattices_Oboolean__algebra'( T, X, U, W,
% 1.44/1.82 V0, V1, Z, Y, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( X, Y ), Z ), ~( 'c_Lattices_Oboolean__algebra'( T, X, U, W,
% 1.44/1.82 V0, V1, Y, Z, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( T, Y ), hAPP( U, Z ) ) ), ~(
% 1.44/1.82 'c_Lattices_Oboolean__algebra'( X, U, W, V0, T, V1, V2, V3, V4 ) ) ],
% 1.44/1.82 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( U, hAPP( X, Z ) ),
% 1.44/1.82 hAPP( X, T ) ) ), ~( 'c_Lattices_Oboolean__algebra'( W, X, V0, V1, Y, U,
% 1.44/1.82 V2, V3, V4 ) ) ],
% 1.44/1.82 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( U, hAPP( X, Z ) ),
% 1.44/1.82 hAPP( X, T ) ) ), ~( 'c_Lattices_Oboolean__algebra'( W, X, V0, V1, U, Y,
% 1.44/1.82 V2, V3, V4 ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X ) ), Y )
% 1.44/1.82 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.44/1.82 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.44/1.82 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.44/1.82 ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.44/1.82 ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.44/1.82 X ), Y ), Y ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.44/1.82 ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), T ) ) )
% 1.44/1.82 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool'
% 1.44/1.82 ), 'tc_fun'( Z, 'tc_bool' ), Y ), hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), T ) ), U ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, 'tc_fun'( Z
% 1.44/1.82 , 'tc_bool' ) ), U ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 1.44/1.82 hAPP( Y, T ) ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ), Y, Z ) ), =( hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, Y, Z ),
% 1.44/1.82 hAPP( X, T ) ), T ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 1.44/1.82 'c_Set_Oimage'( X, Y, Z ), T ), Z, 'tc_fun'( U, 'tc_bool' ) ), W ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, 'tc_fun'( U
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( Z, 'tc_fun'( U, 'tc_bool' ), Y )
% 1.44/1.82 , W ), X ) ) ) ],
% 1.44/1.82 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 1.44/1.82 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 1.44/1.82 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 1.44/1.82 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.82 ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.44/1.82 ), Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.82 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.82 ), Z ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.44/1.82 'c_Orderings_Oorder_Omono'( Y, Z, X ), T ) ), ~( hBOOL( hAPP(
% 1.44/1.82 'c_Orderings_Oorder_Ostrict__mono'( U, Z, X ), T ) ) ), ~(
% 1.44/1.82 'c_Orderings_Oorder'( Y, U, Z ) ) ],
% 1.44/1.82 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 1.44/1.82 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 1.44/1.82 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 Z, Y ), X ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( hAPP(
% 1.44/1.82 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), Y ), Z ), X, 'tc_fun'( T, 'tc_bool' ) ), U ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( T, 'tc_bool' ) )
% 1.44/1.82 , hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, X,
% 1.44/1.82 'tc_fun'( T, 'tc_bool' ) ), U ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, X, 'tc_fun'( T
% 1.44/1.82 , 'tc_bool' ) ), U ) ) ) ],
% 1.44/1.82 [ =( 'c_Hilbert__Choice_OEps'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), hAPP( Y, Z ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, U, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), Y ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, U, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.82 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.44/1.82 ), Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.82 ), Y ), hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z,
% 1.44/1.82 T, 'tc_fun'( X, 'tc_bool' ) ), U ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ), T ), hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), Y ) ), U ) ) ) ],
% 1.44/1.82 [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'(
% 1.44/1.82 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.82 'tc_prod'( X, X ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( Y, X
% 1.44/1.82 ) ), 'c_Relation_OId'( X ) ), 'c_Transitive__Closure_Ortrancl'( Y, X ) )
% 1.44/1.82 ],
% 1.44/1.82 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.44/1.82 'c_Finite__Set_Olattice__class_OSup__fin'( Z, X ) ), Y ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool'
% 1.44/1.82 ), 'tc_fun'( Z, 'tc_bool' ), Y ), hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.44/1.82 , T ) ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), T ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, 'tc_fun'( Z
% 1.44/1.82 , 'tc_bool' ) ), U ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ), hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Z ), Y ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.44/1.82 [ hBOOL( 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y
% 1.44/1.82 ) ), ~( hBOOL( 'c_Relation_Osym'( X, Y ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.44/1.82 X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.44/1.82 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP(
% 1.44/1.82 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ),
% 1.44/1.82 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP(
% 1.44/1.82 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.44/1.82 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.44/1.82 'c_Lattices_Odistrib__lattice'( W, V0, X, Z, V1 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.44/1.82 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.44/1.82 'c_Lattices_Odistrib__lattice'( W, V0, X, Y, V1 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.44/1.82 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.44/1.82 'c_Lattices_Odistrib__lattice'( W, V0, Z, X, V1 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.44/1.82 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.44/1.82 'c_Lattices_Odistrib__lattice'( W, V0, Y, X, V1 ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_Orderings_Oorder'( hAPP(
% 1.44/1.82 'c_COMBC'( X, X, 'tc_bool' ), 'c_lessequals'( X ) ), hAPP( 'c_COMBC'( X,
% 1.44/1.82 X, 'tc_bool' ), 'c_HOL_Oord__class_Oless'( X ) ), X ) ],
% 1.44/1.82 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'(
% 1.44/1.82 X, Z ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'( X, Y ) ) ), ~( hBOOL( hAPP(
% 1.44/1.82 X, Z ) ) ) ],
% 1.44/1.82 [ =( 'c_Predicate_Oconversep'( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ) ), Z ), T ), X, Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ) ), 'c_Predicate_Oconversep'( Z, X, Y ) ),
% 1.44/1.82 'c_Predicate_Oconversep'( T, X, Y ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool'
% 1.44/1.82 ), 'tc_fun'( Z, 'tc_bool' ), Y ), hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), T ) ), U ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, 'tc_fun'( Z
% 1.44/1.82 , 'tc_bool' ) ), U ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.44/1.82 Y, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), T ) ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 1.44/1.82 'c_Set_Ovimage'( X, Y, Z ), T ) ) ) ],
% 1.44/1.82 [ =( 'c_Relation_OField'( 'c_Relation_Oconverse'( X, Y, Y ), Y ),
% 1.44/1.82 'c_Relation_OField'( X, Y ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), U ) ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ),
% 1.44/1.82 hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 1.44/1.82 U ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 1.44/1.82 Y, 'tc_bool' ) ), Y, Z ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( Z, 'tc_bool' ), Y ) )
% 1.44/1.82 , T ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) )
% 1.44/1.82 ],
% 1.44/1.82 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, X ),
% 1.44/1.82 'c_COMBK'( T, X, Z ) ), T ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.44/1.82 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.44/1.82 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ =( 'c_Relation_Oconverse'( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 'tc_prod'( X, Y )
% 1.44/1.82 , 'tc_bool' ) ), Z ), T ), X, Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 'tc_prod'( Y, X )
% 1.44/1.82 , 'tc_bool' ) ), 'c_Relation_Oconverse'( Z, X, Y ) ),
% 1.44/1.82 'c_Relation_Oconverse'( T, X, Y ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.44/1.82 X ), 'c_Finite__Set_Olattice__class_OInf__fin'( Y, X ) ),
% 1.44/1.82 'c_Finite__Set_Olattice__class_OSup__fin'( Y, X ) ) ), =( Y,
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.44/1.82 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Fun_Othe__inv__into'( 'c_Orderings_Otop__class_Otop'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), hAPP( Y, T ) ), T ), ~(
% 1.44/1.82 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), X, Z ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.44/1.82 Y, 'tc_bool' ) ), 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), X ) ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( 't_a', X ) ), Y ), Z ), 'v_x' ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( Y, 'v_x' ) ), hAPP(
% 1.44/1.82 Z, 'v_x' ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.44/1.82 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 1.44/1.82 ), T ) ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.44/1.82 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 1.44/1.82 ), Z ) ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.44/1.82 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 1.44/1.82 ), T ) ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.44/1.82 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 1.44/1.82 ), Z ) ) ) ) ],
% 1.44/1.82 [ hBOOL( 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.82 [ =( 'c_Relation_OField'( 'v_r', 't_a' ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', 'tc_bool'
% 1.44/1.82 ) ), 'c_Relation_ODomain'( 'v_r', 't_a', 't_a' ) ), 'c_Relation_ORange'(
% 1.44/1.82 'v_r', 't_a', 't_a' ) ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.44/1.82 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.44/1.82 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.44/1.82 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) )
% 1.44/1.82 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) )
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Y ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), U ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ), T ), hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Y ) ), U ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Y ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), U ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ), T ), hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Y ) ), U ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Relation_OImage'( X, Y, Z ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, U, 'tc_fun'( Y
% 1.44/1.82 , 'tc_bool' ) ), W ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, U, 'tc_fun'( Z
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ), U ), 'c_Relation_OImage'( X, Y, Z ) ), W ) ) )
% 1.44/1.82 , =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 1.44/1.82 hBOOL( 'c_Relation_Osingle__valued'( 'c_Relation_Oconverse'( X, Y, Z ), Z
% 1.44/1.82 , Y ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'class_Orderings_Oorder'( Y ) )
% 1.44/1.82 , hBOOL( hAPP( hAPP( 'c_lessequals'( Y ), hAPP( Z, T ) ), hAPP( Z, U ) )
% 1.44/1.82 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) ), ~( hBOOL(
% 1.44/1.82 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'(
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), Z
% 1.44/1.82 , X ), hAPP( 'c_Set_Oimage'( Y, X, Z ), T ) ), T ), ~( 'c_Fun_Oinj__on'(
% 1.44/1.82 Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ =( hAPP( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'(
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), Z
% 1.44/1.82 , X ), hAPP( 'c_Set_Oimage'( Y, X, Z ), T ) ), T ), ~( 'c_Fun_Oinj__on'(
% 1.44/1.82 Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 1.44/1.82 ), =( Y, Z ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T,
% 1.44/1.82 Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T,
% 1.44/1.82 Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 1.44/1.82 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T,
% 1.44/1.82 X ), Y ) ) ), ~( 'c_Orderings_Oorder'( T, Z, U ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.44/1.82 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) )
% 1.44/1.82 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) )
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Z ), Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.44/1.82 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 1.44/1.82 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y,
% 1.44/1.82 Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ hBOOL( 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ),
% 1.44/1.82 ~( hBOOL( 'c_Relation_Osym'( X, Y ) ) ) ],
% 1.44/1.82 [ hBOOL( 'c_Relation_Osym'( X, Y ) ), ~( hBOOL( 'c_Relation_Osym'(
% 1.44/1.82 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ) ],
% 1.44/1.82 [ hBOOL( 'c_Relation_Osym'( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( X, X )
% 1.44/1.82 , 'tc_bool' ) ), Y ), 'c_Relation_Oconverse'( Y, X, X ) ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.44/1.82 Y, X ) ],
% 1.44/1.82 [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Opred__comp'( X, Y, Z, T, U
% 1.44/1.82 ), Z, U ), 'c_Predicate_Opred__comp'( 'c_Predicate_Oconversep'( Y, T, U
% 1.44/1.82 ), 'c_Predicate_Oconversep'( X, Z, T ), U, T, Z ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.82 ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Z, U ) ), hAPP( hAPP(
% 1.44/1.82 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_Set_Oinsert'( Y ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ) ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), U ), T ) ) )
% 1.44/1.82 , ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( T, 'tc_fun'( U,
% 1.44/1.82 'tc_bool' ) ) ), W ), X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( T, 'tc_fun'( U,
% 1.44/1.82 'tc_bool' ) ) ), X ), W ), Y ), Z ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.44/1.82 , T ), X ), Y ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.44/1.82 , X ), T ), Y ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBB'( X, X, Y ),
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ) ), Z ) ), T ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.44/1.82 Y, X ), Z ), T ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, U, 'tc_fun'( Z
% 1.44/1.82 , 'tc_bool' ) ), W ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, U, 'tc_fun'( Y
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ), U ), 'c_Set_Ovimage'( X, Y, Z ) ), W ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ hBOOL( 'c_Relation_Osym'( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 'tc_prod'( X, X )
% 1.44/1.82 , 'tc_bool' ) ), Y ), Z ), X ) ), ~( hBOOL( 'c_Relation_Osym'( Z, X ) ) )
% 1.44/1.82 , ~( hBOOL( 'c_Relation_Osym'( Y, X ) ) ) ],
% 1.44/1.82 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~( hBOOL(
% 1.44/1.82 'c_Relation_Otrans'( X, Y ) ) ) ],
% 1.44/1.82 [ hBOOL( 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y )
% 1.44/1.82 ), ~( hBOOL( 'c_Relation_Osym'( X, Y ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 X ), Y ), Z ) ), Z ), Y ) ],
% 1.44/1.82 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( Y, Y )
% 1.44/1.82 , 'tc_bool' ) ), X ), 'c_Relation_Orel__comp'(
% 1.44/1.82 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.44/1.82 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) ),
% 1.44/1.82 Y ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ), Y ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ), Y ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ), Y ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.44/1.82 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ) ), hAPP(
% 1.44/1.82 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 1.44/1.82 [ hBOOL( 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( hBOOL(
% 1.44/1.82 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ hBOOL( 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ),
% 1.44/1.82 Z ) ), ~( hBOOL( 'c_Relation_Ototal__on'( X, Y, Z ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_Set_Ovimage'( Y, T, U ), X ), Z ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), U ) ), ~( hBOOL(
% 1.44/1.82 hAPP( T, hAPP( X, U ) ) ) ) ],
% 1.44/1.82 [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ), Z )
% 1.44/1.82 ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ), ~(
% 1.44/1.82 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 1.44/1.82 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ) ), Z ), T ), U ), W ) ), ~( hBOOL( hAPP( hAPP( T, U ), W )
% 1.44/1.82 ) ), ~( hBOOL( hAPP( hAPP( Z, U ), W ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.44/1.82 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), U ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.44/1.82 ), Z ), Y ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.44/1.82 ), U ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), T ), U ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), T ), U ) ) ) ],
% 1.44/1.82 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 1.44/1.82 ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( Z, Y, T ), X ), T ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ hBOOL( 'c_Predicate_ORangeP'( X, Y, Z, T ) ), ~( hBOOL( hAPP( hAPP( X
% 1.44/1.82 , U ), Y ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~(
% 1.44/1.82 'class_Lattices_Olower__semilattice'( Y ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( Y ), hAPP( Z, hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), U ) ) ), hAPP(
% 1.44/1.82 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Y ), hAPP( Z, T ) ),
% 1.44/1.82 hAPP( Z, U ) ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Omono'( Z, X, Y
% 1.44/1.82 ) ) ) ],
% 1.44/1.82 [ hBOOL( 'c_Relation_Osym'( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 'tc_prod'( X, X )
% 1.44/1.82 , 'tc_bool' ) ), Y ), 'c_Relation_Oconverse'( Y, X, X ) ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) )
% 1.44/1.82 ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~(
% 1.44/1.82 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( hAPP(
% 1.44/1.82 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), X, 'tc_fun'( T, 'tc_bool' ) ), U )
% 1.44/1.82 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ) ), hAPP( U, Y ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, X, 'tc_fun'( T
% 1.44/1.82 , 'tc_bool' ) ), U ) ) ) ],
% 1.44/1.82 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 1.44/1.82 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.82 ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.82 ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ],
% 1.44/1.82 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 1.44/1.82 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.44/1.82 [ hBOOL( 'c_Wellfounded_Oaccp'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( X, Y
% 1.44/1.82 ), T ) ) ), ~( hBOOL( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.44/1.82 Z ), Y ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.44/1.82 [ hBOOL( 'c_Wellfounded_Oaccp'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( X, Y
% 1.44/1.82 ), T ) ) ), ~( hBOOL( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), T ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, W, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), V0 ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( W, 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ), Z ),
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, W, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBC'( Z, 'tc_fun'( W, 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), 'tc_fun'( W, 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.44/1.82 'c_COMBB'( 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , 'tc_fun'( 'tc_fun'( W, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( W,
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ) ), Z ), 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ), W ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' )
% 1.44/1.82 ), Z ), 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ) ), T ) ) ), V0 ) ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ), hAPP( hAPP(
% 1.44/1.82 'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( X ) ) ), ~( =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( X ) ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.44/1.82 Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ) ), Z ) ), T ) ), 'c_Orderings_Otop__class_Otop'(
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.44/1.82 Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.44/1.82 , Z ) ), T ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' )
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.82 Z, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool'
% 1.44/1.82 ) ) ), T ) ), U ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.44/1.82 Z, 'tc_bool' ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, 'tc_fun'( Z
% 1.44/1.82 , 'tc_bool' ) ), T ) ), U ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.82 ), hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z,
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), T ) ), U ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( Z, 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool'
% 1.44/1.82 ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), Z ),
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ) ), T ) ), U ) )
% 1.44/1.82 ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), T ) ), U ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( Z, 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool'
% 1.44/1.82 ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), Z ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 ), T ) ), U ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.82 Z, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ) ), T ) ), U ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.44/1.82 , hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), T ) ), U ) ), =( X,
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ ~( =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X,
% 1.44/1.82 Y, 'tc_fun'( Z, 'tc_bool' ) ), T ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( hAPP( T, U ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_in'( Y ), U ), X ) ) ) ],
% 1.44/1.82 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), T ) ) ), =( hAPP( T, U ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), Y )
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( X ), Y ), T ) ) ), ~( =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , T ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.44/1.82 ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Y ) ), 'c_Relation_OId'( X ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Y ) ), 'c_Relation_OId'( X ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), U
% 1.44/1.82 ), Z ) ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), Y ), U )
% 1.44/1.82 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), U
% 1.44/1.82 ), Z ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ),
% 1.44/1.82 hAPP( hAPP( 'c_Pair'( X, X ), Y ), U ) ), T ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, Y ), Z ), T ) ), 'c_Relation_Orel__comp'( U, W, X, V0, Y ) ) ), ~(
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( V0, Y ) ), hAPP( hAPP( 'c_Pair'( V0
% 1.44/1.82 , Y ), V1 ), T ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X,
% 1.44/1.82 V0 ) ), hAPP( hAPP( 'c_Pair'( X, V0 ), Z ), V1 ) ), U ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X
% 1.44/1.82 ) ), hAPP( hAPP( 'c_Pair'( X, X ), Z ), Y ) ), T ) ) ), ~( hBOOL(
% 1.44/1.82 'c_Relation_Osym'( T, X ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X
% 1.44/1.82 ) ), hAPP( hAPP( 'c_Pair'( X, X ), Z ), Y ) ), T ) ) ), ~( hBOOL(
% 1.44/1.82 'c_Relation_Osym'( T, X ) ) ) ],
% 1.44/1.82 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), hAPP(
% 1.44/1.82 hAPP( 'c_Pair'( Z, Z ), X ), Y ) ), 'c_Relation_OId'( Z ) ) ) ) ],
% 1.44/1.82 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), hAPP(
% 1.44/1.82 hAPP( 'c_Pair'( Z, Z ), Y ), X ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.44/1.82 'tc_prod'( Z, Z ) ), hAPP( hAPP( 'c_Pair'( Z, Z ), X ), Y ) ), T ) ) ),
% 1.44/1.82 ~( hBOOL( 'c_Relation_Oantisym'( T, Z ) ) ) ],
% 1.44/1.82 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), hAPP(
% 1.44/1.82 hAPP( 'c_Pair'( Z, Z ), Y ), X ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.44/1.82 'tc_prod'( Z, Z ) ), hAPP( hAPP( 'c_Pair'( Z, Z ), X ), Y ) ), T ) ) ),
% 1.44/1.82 ~( hBOOL( 'c_Relation_Oantisym'( T, Z ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Y ) ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Y ) ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~(
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X,
% 1.44/1.82 X ), U ), Z ) ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), Y
% 1.44/1.82 ), U ) ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), Y
% 1.44/1.82 ), Z ) ), T ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~(
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X,
% 1.44/1.82 X ), U ), Z ) ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), Y
% 1.44/1.82 ), U ) ), T ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~(
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X,
% 1.44/1.82 X ), U ), Z ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X )
% 1.44/1.82 ), hAPP( hAPP( 'c_Pair'( X, X ), Y ), U ) ),
% 1.44/1.82 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), U
% 1.44/1.82 ), Z ) ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), Y ), U )
% 1.44/1.82 ), T ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), U
% 1.44/1.82 ), Z ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ),
% 1.44/1.82 hAPP( hAPP( 'c_Pair'( X, X ), Y ), U ) ), 'c_Transitive__Closure_Otrancl'(
% 1.44/1.82 T, X ) ) ) ) ],
% 1.44/1.82 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP(
% 1.44/1.82 'c_Pair'( X, X ), Y ), Y ) ), Z ) ) ), ~( hBOOL( 'c_Relation_Oirrefl'( Z
% 1.44/1.82 , X ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, Y ), Z ), T ) ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, X
% 1.44/1.82 ) ), hAPP( hAPP( 'c_Pair'( Y, X ), T ), Z ) ), 'c_Relation_Oconverse'( U
% 1.44/1.82 , X, Y ) ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, Y ), Z ), T ) ), 'c_Relation_Oconverse'( U, Y, X ) ) ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_in'( 'tc_prod'( Y, X ) ), hAPP( hAPP( 'c_Pair'( Y, X ), T ), Z )
% 1.44/1.82 ), U ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, Y ), Z ), T ) ), 'c_Relation_Oconverse'( U, Y, X ) ) ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_in'( 'tc_prod'( Y, X ) ), hAPP( hAPP( 'c_Pair'( Y, X ), T ), Z )
% 1.44/1.82 ), U ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X
% 1.44/1.82 ) ), hAPP( hAPP( 'c_Pair'( X, X ), U ), Z ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), Y ), U )
% 1.44/1.82 ), T ) ) ), ~( hBOOL( 'c_Relation_Otrans'( T, X ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X
% 1.44/1.82 ) ), hAPP( hAPP( 'c_Pair'( X, X ), U ), Z ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), Y ), U )
% 1.44/1.82 ), T ) ) ), ~( hBOOL( 'c_Relation_Otrans'( T, X ) ) ) ],
% 1.44/1.82 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, T ) ), hAPP(
% 1.44/1.82 hAPP( 'c_Pair'( Z, T ), U ), Y ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.44/1.82 'tc_prod'( Z, T ) ), hAPP( hAPP( 'c_Pair'( Z, T ), U ), X ) ), W ) ) ),
% 1.44/1.82 ~( hBOOL( 'c_Relation_Osingle__valued'( W, Z, T ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.82 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.44/1.82 , Y ), T ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 1.44/1.82 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), Z ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 1.44/1.82 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), Y ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), hAPP( Y, Z ) ), hAPP(
% 1.44/1.82 'c_Set_Oimage'( Y, T, X ), U ) ), hAPP( 'c_Set_Oimage'( Y, T, X ), U ) )
% 1.44/1.82 , ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.82 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), ~(
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 1.44/1.82 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 1.44/1.82 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Z ), hAPP( 'c_Collect'( X ), T ) ) ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), hAPP(
% 1.44/1.82 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ), T ), hAPP( 'c_Collect'( Z ), X ) ) ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Z ), hAPP( 'c_Collect'( X ), T ) ) ) ), ~( hBOOL( hAPP( T, Y ) ) ), ~(
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), hAPP( Y, Z ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), Y ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X,
% 1.44/1.82 Y, 'tc_fun'( Z, 'tc_bool' ) ), T ), 'c_Orderings_Otop__class_Otop'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( hAPP( T, U ),
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_in'( Y ), U ), X ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.44/1.82 Y, T, X ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ) ) )
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), T ) ) ), =( hAPP( T, U ), 'c_Orderings_Otop__class_Otop'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), Y )
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Oimage'( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), Z
% 1.44/1.82 , Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), hAPP(
% 1.44/1.82 'c_Set_Oimage'( T, X, Y ), hAPP( 'c_Set_Oimage'( U, Z, X ),
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.44/1.82 'c_Finite__Set_Olinorder__class_OMax'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 1.44/1.82 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 1.44/1.82 ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.82 ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ),
% 1.44/1.82 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.82 ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ) ) ) ), T ) ) ],
% 1.44/1.82 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, U, V3, V4, Y
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, V2, V3, V4, Y
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ =( 'c_The'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.44/1.82 'c_Finite__Set_Olinorder__class_OMin'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 1.44/1.82 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 1.44/1.82 ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.44/1.82 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Y )
% 1.44/1.82 ) ],
% 1.44/1.82 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.44/1.82 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_lessequals'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.44/1.82 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_lessequals'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.44/1.82 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.44/1.82 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), Y ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.44/1.82 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), Y ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.44/1.82 , Z ) ), Y ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.44/1.82 , Z ) ), Y ) ) ) ],
% 1.44/1.82 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), 'c_Relation_Oconverse'( Y, X
% 1.44/1.82 , X ) ), 'c_Transitive__Closure_Ortrancl'( Y, X ) ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 1.44/1.82 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP(
% 1.44/1.82 'c_Pair'( X, X ), Z ), Z ) ), 'c_Transitive__Closure_Otrancl'( Y, X ) ) )
% 1.44/1.82 ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), T ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, W, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), V0 ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( W, 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ), Z ),
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, W, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBC'( Z, 'tc_fun'( W, 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), 'tc_fun'( W, 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.44/1.82 'c_COMBB'( 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , 'tc_fun'( 'tc_fun'( W, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( W,
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ) ), Z ), 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ), W ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' )
% 1.44/1.82 ), Z ), 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ) ), T ) ) ), V0 ) ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( hAPP( X, Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( U ), Y ), W ) ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( W, U, 'tc_fun'( V0
% 1.44/1.82 , 'tc_fun'( V1, 'tc_bool' ) ) ), X ), Z ), T ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.44/1.82 ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, T, 'tc_fun'( W
% 1.44/1.82 , 'tc_bool' ) ), X ), Z ) ) ) ],
% 1.44/1.82 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 hAPP( T, Y ), U ), W ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, X, 'tc_fun'( V0
% 1.44/1.82 , 'tc_fun'( V1, 'tc_bool' ) ) ), T ), U ), W ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( hAPP( X, Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( U ), Y ), W ) ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( W, U, 'tc_fun'( V0
% 1.44/1.82 , 'tc_fun'( V1, 'tc_bool' ) ) ), X ), Z ), T ) ) ) ],
% 1.44/1.82 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP( T
% 1.44/1.82 , Y ), U ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, X, 'tc_fun'( W
% 1.44/1.82 , 'tc_bool' ) ), T ), U ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.44/1.82 ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, T, 'tc_fun'( W
% 1.44/1.82 , 'tc_bool' ) ), X ), Z ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_in'( U ), T ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.44/1.82 hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( W, U,
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ) ) ],
% 1.44/1.82 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( T ), U ), hAPP( W, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 1.44/1.82 ), hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, X,
% 1.44/1.82 'tc_fun'( T, 'tc_bool' ) ), W ) ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_in'( U ), T ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.44/1.82 hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( W, U,
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ) ) ],
% 1.44/1.82 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), T ), Z ) ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), Z ), T ) ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ),
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 1.44/1.82 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), Z ) ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , T ), Z ) ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Z ), T ) ) ) ) ],
% 1.44/1.82 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.44/1.82 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y,
% 1.44/1.82 Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 1.44/1.82 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.44/1.82 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 1.44/1.82 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 1.44/1.82 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.44/1.82 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 1.44/1.82 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 1.44/1.82 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 1.44/1.82 ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~(
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ),
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.44/1.82 X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ),
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.44/1.82 X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( U
% 1.44/1.82 , W ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), W ), Z ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( U
% 1.44/1.82 , W ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), W ), Z ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 1.44/1.82 , U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), hAPP( Z, Y ) ), U ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 1.44/1.82 , U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), hAPP( Z, Y ) ), U ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 1.44/1.82 , U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), hAPP( Z, Y ) ), U ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_in'( U ), Z ), hAPP( 'c_Set_Ovimage'( Y, U, X ), T ) ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_in'( U ), Z ), hAPP( 'c_Set_Ovimage'( Y, U, X ), T ) ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( U ), T ), Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y
% 1.44/1.82 , W, X, V0, V1, V2, V3, V4, U ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( U ), Y ), T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 1.44/1.82 , Z, X, V0, V1, V2, V3, V4, U ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, 'tc_fun'( Z
% 1.44/1.82 , 'tc_fun'( T, 'tc_bool' ) ) ), U ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 hAPP( U, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), V1 ), X
% 1.44/1.82 ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, 'tc_fun'( Z
% 1.44/1.82 , 'tc_bool' ) ), T ), U ) ), ~( hBOOL( hAPP( hAPP( T, W ), U ) ) ), ~(
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_in'( Y ), W ), X ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, 'tc_fun'( Z
% 1.44/1.82 , 'tc_fun'( T, 'tc_bool' ) ) ), U ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 hAPP( U, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), V1 ), X
% 1.44/1.82 ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, 'tc_fun'( Z
% 1.44/1.82 , 'tc_bool' ) ), T ), U ) ), ~( hBOOL( hAPP( hAPP( T, W ), U ) ) ), ~(
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_in'( Y ), W ), X ) ) ) ],
% 1.44/1.82 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.44/1.82 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.44/1.82 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Oimage'( T, U, Y ), W
% 1.44/1.82 ) ), hAPP( 'c_Set_Oimage'( hAPP( hAPP( 'c_COMBB'( Y, Z, U ), X ), T ), U
% 1.44/1.82 , Z ), W ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.44/1.82 , 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ), Y ) ), =( Y,
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.44/1.82 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.44/1.82 , 'c_Finite__Set_Olinorder__class_OMax'( Y, X ) ), Y ) ), =( Y,
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.44/1.82 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_in'( Y ), X ), T ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), 'c_Transitive__Closure_Otrancl'(
% 1.44/1.82 'c_Relation_Oconverse'( T, X, X ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.44/1.82 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), Y ), Z ) ),
% 1.44/1.82 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( T, X ), X, X ) )
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), 'c_Relation_Oconverse'(
% 1.44/1.82 'c_Transitive__Closure_Otrancl'( T, X ), X, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), Y ), Z ) ),
% 1.44/1.82 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( T, X, X ), X ) )
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), U
% 1.44/1.82 ), Z ) ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), Y ), U )
% 1.44/1.82 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), U
% 1.44/1.82 ), Z ) ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), Y ), U )
% 1.44/1.82 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~(
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X,
% 1.44/1.82 X ), Y ), Z ) ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), Z
% 1.44/1.82 ), Y ) ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), U ), Y )
% 1.44/1.82 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), U ), Z ) ),
% 1.44/1.82 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~( hBOOL(
% 1.44/1.82 'c_Relation_Osingle__valued'( T, X, X ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~(
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X,
% 1.44/1.82 X ), Z ), Y ) ), 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'(
% 1.44/1.82 T, X, X ), X ) ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), 'c_Transitive__Closure_Ortrancl'(
% 1.44/1.82 'c_Relation_Oconverse'( T, X, X ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.44/1.82 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), Z ), Y ) ),
% 1.44/1.82 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), =( Y, Z
% 1.44/1.82 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP(
% 1.44/1.82 'c_Pair'( X, X ), Y ), Z ) ), 'c_Transitive__Closure_Ortrancl'( T, X ) )
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), =( Y, Z
% 1.44/1.82 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP(
% 1.44/1.82 'c_Pair'( X, X ), Y ), Z ) ), 'c_Transitive__Closure_Ortrancl'( T, X ) )
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~(
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X,
% 1.44/1.82 X ), Y ), Z ) ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ), =( Y, Z )
% 1.44/1.82 ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), U
% 1.44/1.82 ), Z ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ),
% 1.44/1.82 hAPP( hAPP( 'c_Pair'( X, X ), Y ), U ) ),
% 1.44/1.82 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), U
% 1.44/1.82 ), Z ) ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), Y ), U )
% 1.44/1.82 ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.44/1.82 'c_Finite__Set_Olattice__class_OInf__fin'( Z, X ) ), Y ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ =( hAPP( X, Y ), 'c_HOL_Oundefined'( Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.44/1.82 T ), Y ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( T, Z ) ), X ),
% 1.44/1.82 'c_FuncSet_Oextensional'( U, T, Z ) ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_Set_Oinsert'( Y ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), T
% 1.44/1.82 ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), U ), T ) ), ~(
% 1.44/1.82 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.44/1.82 [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y, U
% 1.44/1.82 ), hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( X, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.44/1.82 X, Y, U ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ), T ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ) ), ~(
% 1.44/1.82 'c_Fun_Oinj__on'( X, T, Y, U ) ) ],
% 1.44/1.82 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP(
% 1.44/1.82 'c_Set_Oimage'( Y, T, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 'tc_fun'( T, 'tc_bool' ) ), U ), hAPP( hAPP( 'c_Set_Oinsert'( T ), Z ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ) ) ),
% 1.44/1.82 ~( 'c_Fun_Oinj__on'( Y, hAPP( hAPP( 'c_Set_Oinsert'( T ), Z ), U ), T, X
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), Y ),
% 1.44/1.82 'c_Transitive__Closure_Otrancl'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.44/1.82 'tc_prod'( X, X ) ), Y ), Z ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), Y ),
% 1.44/1.82 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( 'tc_prod'( X, X ) ), Y ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.44/1.82 ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP(
% 1.44/1.82 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 X ) ), Z ) ), T ) ), U ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.44/1.82 hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 1.44/1.82 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP(
% 1.44/1.82 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Oplus__class_Oplus'( X
% 1.44/1.82 ) ), Z ) ), T ) ), U ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.82 hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 1.44/1.82 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.44/1.82 , 'tc_bool' ) ) ) ],
% 1.44/1.82 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( T,
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.44/1.82 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.44/1.82 , V2, Z, Y ) ) ],
% 1.44/1.82 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.44/1.82 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.44/1.82 , Z, V2, Y ) ) ],
% 1.44/1.82 [ hBOOL( 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), Y, X ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.82 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.82 ), Y ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.82 ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y
% 1.44/1.82 ) ],
% 1.44/1.82 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), X ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.44/1.82 ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.44/1.82 ],
% 1.44/1.82 [ =( hAPP( 'c_Relation_OImage'( X, Y, Z ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.44/1.82 'c_Set_Oimage'( Y, Z, X ), T ) ) ), =( T, 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.44/1.82 , 'tc_bool' ) ) ) ],
% 1.44/1.82 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ), Y, Z ) ],
% 1.44/1.82 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.44/1.82 'c_Set_Oimage'( Y, Z, X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ),
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_in'( Y ), X ), T ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.44/1.82 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ), ~(
% 1.44/1.82 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ) ), T, X ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ),
% 1.44/1.82 ~( 'c_Fun_Oinj__on'( U, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), X, T ) ) ],
% 1.44/1.82 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Y )
% 1.44/1.82 ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Z ) ), T ), T ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Y ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), T ) ), Y ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Orderings_Otop__class_Otop'( X )
% 1.44/1.82 ), 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 1.44/1.82 ), 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.82 ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.44/1.82 Y, 'tc_bool' ) ), Z ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 1.44/1.82 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), X, 'tc_fun'( T, 'tc_bool' ) ), U )
% 1.44/1.82 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ) ), hAPP( U, Y ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, 'tc_fun'( T
% 1.44/1.82 , 'tc_bool' ) ), U ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ),
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Y ),
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Fun_Othe__inv__into'( 'v_A', 'v_f', 't_a', 't_b' ), 'v_x'
% 1.44/1.82 ), 'c_The'( hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ), hAPP(
% 1.44/1.82 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.44/1.82 'c_and' ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 1.44/1.82 'tc_bool' ), 'c_in'( 't_a' ) ), 'v_A' ) ) ), hAPP( hAPP( 'c_COMBC'( 't_a'
% 1.44/1.82 , 't_b', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 't_b', 'tc_fun'( 't_b',
% 1.44/1.82 'tc_bool' ), 't_a' ), 'c_fequal'( 't_b' ) ), 'v_f' ) ), 'v_x' ) ), 't_a'
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'( 'v_A', 'v_f', 't_a', 't_b' )
% 1.44/1.82 , 'v_x' ), 'c_Hilbert__Choice_OEps'( hAPP( hAPP( 'c_COMBS'( 't_a',
% 1.44/1.82 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.82 'tc_bool', 'tc_bool' ), 't_a' ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( 't_a'
% 1.44/1.82 , 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'( 't_a' ) ), 'v_A' ) )
% 1.44/1.82 ), hAPP( hAPP( 'c_COMBC'( 't_a', 't_b', 'tc_bool' ), hAPP( hAPP(
% 1.44/1.82 'c_COMBB'( 't_b', 'tc_fun'( 't_b', 'tc_bool' ), 't_a' ), 'c_fequal'(
% 1.44/1.82 't_b' ) ), 'v_f' ) ), 'v_x' ) ), 't_a' ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( 'c_Collect'( Z ), T ) ),
% 1.44/1.82 hAPP( 'c_Collect'( Y ), hAPP( hAPP( 'c_COMBB'( Z, 'tc_bool', Y ), T ), X
% 1.44/1.82 ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, 'tc_fun'( Z
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Z, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( Z, 'tc_fun'( 'tc_fun'(
% 1.44/1.82 Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z ) ),
% 1.44/1.82 X ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ =( hAPP( 'c_Relation_OImage'( X, Y, Z ), T ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, 'tc_fun'( Z
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ), Y ), 'c_Relation_OImage'( X, Y, Z ) ), hAPP(
% 1.44/1.82 hAPP( 'c_COMBC'( Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) )
% 1.44/1.82 , 'c_Set_Oinsert'( Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ) ) ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Z, 'tc_fun'( Y
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ), Z ), 'c_Set_Ovimage'( X, Y, Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_COMBC'( Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.44/1.82 'c_Set_Oinsert'( Z ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ) ) ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), Y ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), Y ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), U ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ), T ), hAPP( 'c_Set_Oinsert'( X ), Y ) ), U ) ) )
% 1.44/1.82 ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool'
% 1.44/1.82 ), 'tc_fun'( Z, 'tc_bool' ), Y ), hAPP( 'c_Set_Oinsert'( Z ), T ) ), U )
% 1.44/1.82 ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, 'tc_fun'( Z
% 1.44/1.82 , 'tc_bool' ) ), U ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Y ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), U ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ), T ), hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Y ) ), U ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool'
% 1.44/1.82 ), 'tc_fun'( Z, 'tc_bool' ), Y ), hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.44/1.82 , T ) ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), T ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, 'tc_fun'( Z
% 1.44/1.82 , 'tc_bool' ) ), U ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Y ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), U ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ), T ), hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Y ) ), U ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool'
% 1.44/1.82 , X ), 'c_Not' ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), hAPP( 'c_Collect'( X ), Y ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, 't_a' )
% 1.44/1.82 , 'v_y' ), 'c_Hilbert__Choice_OEps'( hAPP( hAPP( 'c_COMBC'( X, 't_a',
% 1.44/1.82 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 1.44/1.82 X ), 'c_fequal'( 't_a' ) ), Y ) ), 'v_y' ), X ) ) ],
% 1.44/1.82 [ =( 'c_Relation_OField'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.44/1.82 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ ~( =( 'c_Relation_ODomain'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( 'c_Product__Type_OSigma'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Y, X, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.44/1.82 'tc_prod'( X, Z ), 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( 'c_Relation_ODomain'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.44/1.82 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( 'c_Relation_ORange'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.44/1.82 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ ~( =( 'c_Relation_ORange'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.44/1.82 Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool'
% 1.44/1.82 ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.44/1.82 ), Z ) ), T ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool'
% 1.44/1.82 ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.44/1.82 Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool'
% 1.44/1.82 ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ) ), Z ) ), T ) )
% 1.44/1.82 , 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), Y ),
% 1.44/1.82 'c_Transitive__Closure_Ortrancl'( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( X, X )
% 1.44/1.82 , 'tc_bool' ) ), Z ), T ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.44/1.82 'tc_prod'( X, X ) ), Y ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ) )
% 1.44/1.82 ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), Y ),
% 1.44/1.82 'c_Transitive__Closure_Ortrancl'( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( X, X )
% 1.44/1.82 , 'tc_bool' ) ), Z ), T ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.44/1.82 'tc_prod'( X, X ) ), Y ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) )
% 1.44/1.82 ],
% 1.44/1.82 [ =( 'c_Product__Type_OSigma'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z
% 1.44/1.82 ), 'c_COMBK'( hAPP( hAPP( 'c_Set_Oinsert'( T ), U ), W ), 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ), X ), X, T ), hAPP( hAPP( 'c_Set_Oinsert'( 'tc_prod'( X, T )
% 1.44/1.82 ), hAPP( hAPP( 'c_Pair'( X, T ), Y ), U ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( X, T )
% 1.44/1.82 , 'tc_bool' ) ), 'c_Product__Type_OSigma'( Z, 'c_COMBK'( hAPP( hAPP(
% 1.44/1.82 'c_Set_Oinsert'( T ), U ), W ), 'tc_fun'( T, 'tc_bool' ), X ), X, T ) ),
% 1.44/1.82 'c_Product__Type_OSigma'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.44/1.82 'c_COMBK'( W, 'tc_fun'( T, 'tc_bool' ), X ), X, T ) ) ) ) ],
% 1.44/1.82 [ =( 'c_Relation_ODomain'( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( X, Y )
% 1.44/1.82 , 'tc_bool' ) ), Z ), T ), X, Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , 'c_Relation_ODomain'( Z, X, Y ) ), 'c_Relation_ODomain'( T, X, Y ) ) )
% 1.44/1.82 ],
% 1.44/1.82 [ =( 'c_Relation_OField'( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( X, X )
% 1.44/1.82 , 'tc_bool' ) ), Y ), Z ), X ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , 'c_Relation_OField'( Y, X ) ), 'c_Relation_OField'( Z, X ) ) ) ],
% 1.44/1.82 [ =( 'c_Product__Type_OSigma'( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Y ), Z ), T, X, U ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( X, U )
% 1.44/1.82 , 'tc_bool' ) ), 'c_Product__Type_OSigma'( Y, T, X, U ) ),
% 1.44/1.82 'c_Product__Type_OSigma'( Z, T, X, U ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Relation_OImage'( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( X, Y )
% 1.44/1.82 , 'tc_bool' ) ), Z ), T ), X, Y ), U ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.44/1.82 , hAPP( 'c_Relation_OImage'( Z, X, Y ), U ) ), hAPP( 'c_Relation_OImage'(
% 1.44/1.82 T, X, Y ), U ) ) ) ],
% 1.44/1.82 [ =( 'c_Relation_ORange'( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( X, Y )
% 1.44/1.82 , 'tc_bool' ) ), Z ), T ), X, Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.44/1.82 , 'c_Relation_ORange'( Z, X, Y ) ), 'c_Relation_ORange'( T, X, Y ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.82 , hAPP( hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt' ), X ), Y ) ), Z ) ), =( X, T ), ~(
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), X
% 1.44/1.82 ), Y ) ), 'c_Arrow__Order__Mirabelle_Omkbot'( Z, T ) ) ) ) ],
% 1.44/1.82 [ =( X, Y ), =( X, Y ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.82 , hAPP( hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt' ), X ), Y ) ),
% 1.44/1.82 'c_Arrow__Order__Mirabelle_Omktop'( Z, Y ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.82 , hAPP( hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt' ), X ), Y ) ),
% 1.44/1.82 'c_Arrow__Order__Mirabelle_Omkbot'( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), X
% 1.44/1.82 ), Y ) ), Z ) ) ), =( X, T ), =( Y, T ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.82 , hAPP( hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt' ), X ), Y ) ),
% 1.44/1.82 'c_Arrow__Order__Mirabelle_Omkbot'( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), X
% 1.44/1.82 ), Y ) ), Z ) ) ), =( X, Y ), =( Y, T ) ],
% 1.44/1.82 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.82 , hAPP( hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt' ), X ), Y ) ),
% 1.44/1.82 'c_Arrow__Order__Mirabelle_Omkbot'( Z, Y ) ) ) ) ],
% 1.44/1.82 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.82 , hAPP( hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt' ), X ), X ) ),
% 1.44/1.82 'c_Arrow__Order__Mirabelle_Omkbot'( Y, X ) ) ) ) ],
% 1.44/1.82 [ =( X, Y ), =( Y, X ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.82 , hAPP( hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt' ), X ), Y ) ),
% 1.44/1.82 'c_Arrow__Order__Mirabelle_Omkbot'( Z, X ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.82 , hAPP( hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt' ), X ), Y ) ), Z ) ), =( Y, T ), ~(
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), X
% 1.44/1.82 ), Y ) ), 'c_Arrow__Order__Mirabelle_Omktop'( Z, T ) ) ) ) ],
% 1.44/1.82 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.82 , hAPP( hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt' ), X ), Y ) ),
% 1.44/1.82 'c_Arrow__Order__Mirabelle_Omktop'( Z, X ) ) ) ) ],
% 1.44/1.82 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.82 , hAPP( hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt' ), X ), X ) ),
% 1.44/1.82 'c_Arrow__Order__Mirabelle_Omktop'( Y, X ) ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.82 , hAPP( hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt' ), X ), Y ) ),
% 1.44/1.82 'c_Arrow__Order__Mirabelle_Omktop'( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), X
% 1.44/1.82 ), Y ) ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.82 , hAPP( hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt' ), X ), Y ) ),
% 1.44/1.82 'c_Arrow__Order__Mirabelle_Omktop'( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), X
% 1.44/1.82 ), Y ) ), Z ) ) ), =( X, Y ), =( X, T ) ],
% 1.44/1.82 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 1.44/1.82 ) ) ), ~( =( 'c_Relation_Orel__comp'( T, Y, Z, Z, Z ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 1.44/1.82 ) ) ), =( 'c_Relation_Orel__comp'( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( Z, Z )
% 1.44/1.82 , 'tc_bool' ) ), T ), X ), Y, Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 1.44/1.82 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 1.44/1.82 ) ) ), ~( =( 'c_Relation_Orel__comp'( X, T, Z, Z, Z ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 1.44/1.82 ) ) ), =( 'c_Relation_Orel__comp'( X, hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( Z, Z )
% 1.44/1.82 , 'tc_bool' ) ), T ), Y ), Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Z ) ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) )
% 1.44/1.82 , hAPP( hAPP( 'c_Pair'( X, X ), Z ), Y ) ), T ) ), =( Z, Y ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_in'( X ), Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.44/1.82 , Z ), U ) ) ), ~( hBOOL( 'c_Relation_Ototal__on'( U, T, X ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( 'tc_prod'( X, T ) ), hAPP( hAPP( 'c_Pair'( X, T ), Y ), U ) ),
% 1.44/1.82 'c_Product__Type_OSigma'( Z, W, X, T ) ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_in'( 'tc_prod'( U, X ) ), hAPP( hAPP( 'c_Pair'( U, X ), T ), Y )
% 1.44/1.82 ), 'c_Product__Type_OSigma'( W, Z, U, X ) ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ODomain'( Z, X, T ) )
% 1.44/1.82 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, T ) ), hAPP( hAPP(
% 1.44/1.82 'c_Pair'( X, T ), Y ), U ) ), Z ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ODomain'( Z, X, T ) )
% 1.44/1.82 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, T ) ), hAPP( hAPP(
% 1.44/1.82 'c_Pair'( X, T ), Y ), U ) ), Z ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ORange'( Z, T, X ) )
% 1.44/1.82 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), hAPP( hAPP(
% 1.44/1.82 'c_Pair'( T, X ), U ), Y ) ), Z ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ORange'( Z, T, X ) )
% 1.44/1.82 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), hAPP( hAPP(
% 1.44/1.82 'c_Pair'( T, X ), U ), Y ) ), Z ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Relation_OImage'( Z, T,
% 1.44/1.82 X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), hAPP(
% 1.44/1.82 hAPP( 'c_Pair'( T, X ), W ), Y ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.44/1.82 T ), W ), U ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Relation_OImage'( Z, T,
% 1.44/1.82 X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), hAPP(
% 1.44/1.82 hAPP( 'c_Pair'( T, X ), W ), Y ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.44/1.82 T ), W ), U ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 1.44/1.82 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), T ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ),
% 1.44/1.82 'c_Wellfounded_Oacc'( Z, X ) ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 1.44/1.82 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), T ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ),
% 1.44/1.82 'c_Wellfounded_Oacc'( Z, X ) ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, Y ), Z ), T ) ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( X ), Z ), U ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, Y ), Z ), T ) ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_in'( X ), Z ), U ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.82 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ) ) ), Z ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 1.44/1.82 , hAPP( hAPP( 'c_Set_Oinsert'( T ), hAPP( Z, Y ) ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ) ],
% 1.44/1.82 [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), hAPP(
% 1.44/1.82 'c_Set_Ovimage'( X, T, U ), hAPP( hAPP( 'c_Set_Oinsert'( U ), Z ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ) ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ) ) ) ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) )
% 1.44/1.82 ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool'
% 1.44/1.82 ), 'tc_fun'( Z, 'tc_bool' ), Y ), hAPP( 'c_Set_Oinsert'( Z ), T ) ), U )
% 1.44/1.82 ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, 'tc_fun'( Z
% 1.44/1.82 , 'tc_bool' ) ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), W ), X ) ) )
% 1.44/1.82 ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool'
% 1.44/1.82 ), 'tc_fun'( Z, 'tc_bool' ), Y ), hAPP( 'c_Set_Oinsert'( Z ), T ) ), U )
% 1.44/1.82 ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, 'tc_fun'( Z
% 1.44/1.82 , 'tc_bool' ) ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), W ), X ) ) )
% 1.44/1.82 ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP( 'c_Set_Oinsert'( Z )
% 1.44/1.82 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 1.44/1.82 'c_Set_Oinsert'( Z ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ) ) ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, X ), 'tc_fun'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ), X ), Y ), 'c_Finite__Set_Osetsum'( Z, X ) ), T
% 1.44/1.82 ) ), U ) ), W ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP(
% 1.44/1.82 'c_COMBC'( Z, 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.82 'tc_fun'( Y, X ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), X ), Z ),
% 1.44/1.82 'c_Finite__Set_Osetsum'( Y, X ) ), hAPP( 'c_COMBC'( Y, Z, X ), T ) ) ), W
% 1.44/1.82 ) ), U ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'(
% 1.44/1.82 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'( 't_a' ) ), X ) ), hAPP( hAPP(
% 1.44/1.82 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.44/1.82 't_a' ) ), Y ) ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ), hAPP(
% 1.44/1.82 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a',
% 1.44/1.82 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y,
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_Set_Oinsert'( Y ) ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), X ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), U ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ), T ), hAPP( 'c_Set_Oinsert'( X ), Y ) ), U ) ) )
% 1.44/1.82 , =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool'
% 1.44/1.82 ), 'tc_fun'( Z, 'tc_bool' ), Y ), hAPP( 'c_Set_Oinsert'( Z ), T ) ), U )
% 1.44/1.82 ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, 'tc_fun'( Z
% 1.44/1.82 , 'tc_bool' ) ), U ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.44/1.82 Y, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.44/1.82 Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_Set_Oinsert'( Y ), Z ) ), T ) ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.44/1.82 Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.44/1.82 , Z ) ), T ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool'
% 1.44/1.82 ), 'tc_fun'( Z, 'tc_bool' ), Y ), hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.44/1.82 , T ) ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), T ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, 'tc_fun'( Z
% 1.44/1.82 , 'tc_bool' ) ), U ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.44/1.82 Y, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Y ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), U ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ), T ), hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Y ) ), U ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ) ) ) ],
% 1.44/1.82 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ), ~(
% 1.44/1.82 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X
% 1.44/1.82 , 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.82 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Y ) ), Z ) ), X ) ) ],
% 1.44/1.82 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ), ~(
% 1.44/1.82 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X
% 1.44/1.82 , 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.82 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Z ) ), Y ) ), X ) ) ],
% 1.44/1.82 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.44/1.82 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.82 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Y ) ), Z ) ), X ), ~(
% 1.44/1.82 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Z ), X ) ), ~(
% 1.44/1.82 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ) ) ],
% 1.44/1.82 [ =( 'c_Relation_ORange'( hAPP( hAPP( 'c_Set_Oinsert'( 'tc_prod'( X, Y )
% 1.44/1.82 ), hAPP( hAPP( 'c_Pair'( X, Y ), Z ), T ) ), U ), X, Y ), hAPP( hAPP(
% 1.44/1.82 'c_Set_Oinsert'( Y ), T ), 'c_Relation_ORange'( U, X, Y ) ) ) ],
% 1.44/1.82 [ =( 'c_Relation_ODomain'( hAPP( hAPP( 'c_Set_Oinsert'( 'tc_prod'( X, Y
% 1.44/1.82 ) ), hAPP( hAPP( 'c_Pair'( X, Y ), Z ), T ) ), U ), X, Y ), hAPP( hAPP(
% 1.44/1.82 'c_Set_Oinsert'( X ), Z ), 'c_Relation_ODomain'( U, X, Y ) ) ) ],
% 1.44/1.82 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ),
% 1.44/1.82 hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool', X ), 'c_Not' ), Y ) ), X ) )
% 1.44/1.82 , ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ) ) ],
% 1.44/1.82 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.82 'tc_bool', 'tc_bool', X ), 'c_Not' ), Y ) ), X ), ~(
% 1.44/1.82 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), X ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X )
% 1.44/1.82 , Y ), X ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), T ) ), U ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( Z, 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool'
% 1.44/1.82 ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), Z ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 ), T ) ), U ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.82 Z, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ) ), T ) ), U ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.44/1.82 , hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), T ) ), U ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBS'( Y, 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.82 Z, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ) ), T ) ), U ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.44/1.82 , hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), T ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, 'tc_fun'( Z
% 1.44/1.82 , 'tc_bool' ) ), U ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ), hAPP( hAPP(
% 1.44/1.82 'c_Finite__Set_Osetsum'( U, X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ), X, U ), hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ) ), hAPP(
% 1.44/1.82 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U )
% 1.44/1.82 , 'c_Collect'( Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ), U ), hAPP( 'c_COMBS'( Y, 'tc_bool', 'tc_bool' )
% 1.44/1.82 , hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y )
% 1.44/1.82 , 'c_and' ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Y, 'tc_bool' ),
% 1.44/1.82 'tc_bool' ), 'c_in'( Y ) ), T ) ) ) ), hAPP( 'c_COMBC'( Y, U, 'tc_bool' )
% 1.44/1.82 , hAPP( hAPP( 'c_COMBB'( U, 'tc_fun'( U, 'tc_bool' ), Y ), 'c_fequal'( U
% 1.44/1.82 ) ), W ) ) ) ) ) ), hAPP( 'c_Set_Oimage'( W, Y, U ), T ) ) ), ~(
% 1.44/1.82 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.44/1.82 [ =( 'c_Zorn_OChain'( 'v_r', 't_a' ), hAPP( 'c_Collect'( 'tc_fun'( 't_a'
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.44/1.82 'tc_bool', 'tc_fun'( 't_a', 'tc_bool' ) ), 'c_All'( 't_a' ) ), hAPP( hAPP(
% 1.44/1.82 'c_COMBS'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ),
% 1.44/1.82 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.44/1.82 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool'
% 1.44/1.82 ), 'tc_fun'( 't_a', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.44/1.82 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.82 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool',
% 1.44/1.82 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( 'c_COMBB'( 'tc_bool'
% 1.44/1.82 , 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ), 'c_implies' ) ), hAPP(
% 1.44/1.82 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.44/1.82 't_a' ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 't_a'
% 1.44/1.82 , 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool'
% 1.44/1.82 ) ), hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ),
% 1.44/1.82 'c_All'( 't_a' ) ) ), hAPP( hAPP( 'c_COMBC'( 'tc_fun'( 't_a', 'tc_bool' )
% 1.44/1.82 , 'tc_fun'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ) ), 'tc_fun'( 't_a',
% 1.44/1.82 'tc_fun'( 't_a', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.82 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.82 'tc_fun'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ) ), 'tc_fun'( 't_a',
% 1.44/1.82 'tc_fun'( 't_a', 'tc_bool' ) ) ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.44/1.82 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ),
% 1.44/1.82 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool',
% 1.44/1.82 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a',
% 1.44/1.82 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_bool' ) ), 'c_COMBS'( 't_a',
% 1.44/1.82 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.44/1.82 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.44/1.82 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.82 'tc_bool', 'tc_bool' ), 't_a' ), 'c_implies' ) ), hAPP( 'c_COMBC'( 't_a'
% 1.44/1.82 , 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'( 't_a' ) ) ) ) ) ),
% 1.44/1.82 hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'(
% 1.44/1.82 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.44/1.82 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.44/1.82 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'( 't_a', 'tc_bool',
% 1.44/1.82 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.44/1.82 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP(
% 1.44/1.82 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ), 'c_or' )
% 1.44/1.82 ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ),
% 1.44/1.82 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.82 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool'
% 1.44/1.82 ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ),
% 1.44/1.82 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBC'( 't_a',
% 1.44/1.82 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), hAPP(
% 1.44/1.82 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a', 't_a' ) ), 'tc_fun'(
% 1.44/1.82 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ),
% 1.44/1.82 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ),
% 1.44/1.82 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.82 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), 'c_Pair'( 't_a', 't_a'
% 1.44/1.82 ) ) ) ), 'v_r' ) ) ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'(
% 1.44/1.82 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.44/1.82 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.44/1.82 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.44/1.82 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ),
% 1.44/1.82 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ),
% 1.44/1.82 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a',
% 1.44/1.82 't_a' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' )
% 1.44/1.82 , 'tc_bool' ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a'
% 1.44/1.82 , 't_a' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ),
% 1.44/1.82 'tc_bool' ), 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), hAPP(
% 1.44/1.82 'c_COMBC'( 't_a', 't_a', 'tc_prod'( 't_a', 't_a' ) ), 'c_Pair'( 't_a',
% 1.44/1.82 't_a' ) ) ) ) ), 'v_r' ) ) ) ) ) ) ) ) ],
% 1.44/1.82 [ =( 'c_FuncSet_Oextensional'( 'v_A', 't_a', X ), hAPP( 'c_Collect'(
% 1.44/1.82 'tc_fun'( 't_a', X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool'
% 1.44/1.82 ), 'tc_bool', 'tc_fun'( 't_a', X ) ), 'c_All'( 't_a' ) ), hAPP( hAPP(
% 1.44/1.82 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ),
% 1.44/1.82 'tc_fun'( 't_a', X ) ), hAPP( 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ),
% 1.44/1.82 hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a'
% 1.44/1.82 ), 'c_implies' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool', 't_a' ),
% 1.44/1.82 'c_Not' ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 1.44/1.82 'tc_bool' ), 'c_in'( 't_a' ) ), 'v_A' ) ) ) ) ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.82 'tc_fun'( 't_a', X ), X, 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.82 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 1.44/1.82 'tc_fun'( 't_a', 'tc_bool' ) ), 'tc_fun'( 't_a', X ) ), 'c_COMBC'( 't_a'
% 1.44/1.82 , X, 'tc_bool' ) ), hAPP( 'c_COMBB'( X, 'tc_fun'( X, 'tc_bool' ), 't_a' )
% 1.44/1.82 , 'c_fequal'( X ) ) ) ), 'c_HOL_Oundefined'( X ) ) ) ) ) ) ],
% 1.44/1.82 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.44/1.82 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.44/1.82 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.82 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ), Z ) ) ), T ) ) ), X ),
% 1.44/1.82 hBOOL( hAPP( Z,
% 1.44/1.82 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1'( Z
% 1.44/1.82 , T, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( Y ), Z )
% 1.44/1.82 , Y ) ) ],
% 1.44/1.82 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( hAPP( hAPP( 'c_COMBB'(
% 1.44/1.82 X, Y, Z ), T ), U ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z
% 1.44/1.82 , 'tc_bool' ) ) ), Y ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'(
% 1.44/1.82 U, Z, X ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 1.44/1.82 X ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ), hAPP( hAPP(
% 1.44/1.82 'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.44/1.82 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 1.44/1.82 ) ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.44/1.82 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 1.44/1.82 ) ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.44/1.82 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 1.44/1.82 ) ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.44/1.82 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 1.44/1.82 ) ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.44/1.82 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ), hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.44/1.82 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.44/1.82 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.44/1.82 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_lessequals'( X ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.44/1.82 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.44/1.82 X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.44/1.82 Z ), Y ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.44/1.82 X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.44/1.82 Y ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 1.44/1.82 T ), U ) ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), hAPP( X, T ) ), hAPP(
% 1.44/1.82 'c_Set_Oimage'( X, Y, Z ), U ) ) ) ],
% 1.44/1.82 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.82 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 1.44/1.82 , W, V0, V1, U, V2, V3, V4, Y ) ) ],
% 1.44/1.82 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.82 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 1.44/1.82 , X, V0, V1, V2, U, V3, V4, Y ) ) ],
% 1.44/1.82 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), X
% 1.44/1.82 ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.44/1.82 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.44/1.82 hAPP( 'c_Set_Oinsert'( Y ), Z ), X ), Y ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP(
% 1.44/1.82 hAPP( 'c_Set_Oinsert'( X ), Y ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.44/1.82 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.44/1.82 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.44/1.82 'c_Set_Oinsert'( Z ), U ), Y ), Z, T ) ) ],
% 1.44/1.82 [ =( 'c_Hilbert__Choice_OEps'( hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' )
% 1.44/1.82 , 'c_fequal'( X ) ), Y ), X ), Y ) ],
% 1.44/1.82 [ =( 'c_The'( hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ), 'c_fequal'( X )
% 1.44/1.82 ), Y ), X ), Y ) ],
% 1.44/1.82 [ 'c_Lattices_Odistrib__lattice'( hAPP( 'c_COMBC'( X, X, 'tc_bool' ), Y
% 1.44/1.82 ), hAPP( 'c_COMBC'( X, X, 'tc_bool' ), Z ), T, U, X ), ~(
% 1.44/1.82 'c_Lattices_Odistrib__lattice'( Y, Z, U, T, X ) ) ],
% 1.44/1.82 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, hAPP( 'c_COMBC'( Z, Z
% 1.44/1.82 , 'tc_bool' ), T ), hAPP( 'c_COMBC'( Z, Z, 'tc_bool' ), U ), W, V0, V1,
% 1.44/1.82 V2, Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, T, U, V0, W,
% 1.44/1.82 V2, V1, Z ) ) ],
% 1.44/1.82 [ 'c_Orderings_Oorder'( hAPP( 'c_COMBC'( X, X, 'tc_bool' ), Y ), hAPP(
% 1.44/1.82 'c_COMBC'( X, X, 'tc_bool' ), Z ), X ), ~( 'c_Orderings_Oorder'( Y, Z, X
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.44/1.82 Y, 'tc_bool' ) ), 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), X ) ),
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.82 ), hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ) ), T ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Y ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), U ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ), T ), hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Y ) ), U ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool'
% 1.44/1.82 ), 'tc_fun'( Z, 'tc_bool' ), Y ), hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.44/1.82 , T ) ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), T ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, 'tc_fun'( Z
% 1.44/1.82 , 'tc_bool' ) ), U ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.44/1.82 Y, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.44/1.82 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 1.44/1.82 'c_Set_Oimage'( X, Y, Z ), U ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 1.44/1.82 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), Y ), Z ), X, 'tc_fun'( T, 'tc_bool' ) ), U ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T, 'tc_bool' ) )
% 1.44/1.82 , hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, X,
% 1.44/1.82 'tc_fun'( T, 'tc_bool' ) ), U ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, 'tc_fun'( T
% 1.44/1.82 , 'tc_bool' ) ), U ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Z ), T ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.44/1.82 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.44/1.82 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ), Z ), X ), Y ) ) ],
% 1.44/1.82 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.44/1.82 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ), X ), Z ), Y ) ) ],
% 1.44/1.82 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 1.44/1.82 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.44/1.82 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 1.44/1.82 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Z ), T ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Relation_OImage'( X, Y, Z ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.44/1.82 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Relation_OImage'( X, Y, Z ), T ) ),
% 1.44/1.82 hAPP( 'c_Relation_OImage'( X, Y, Z ), U ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), Y ), Z ) ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Y ), Z ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Z ), Y ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Y ), Z ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.82 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.44/1.82 ), T ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.44/1.82 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ) ), hAPP(
% 1.44/1.82 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 1.44/1.82 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.44/1.82 , U ), Y ), Z, T ) ) ],
% 1.44/1.82 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.44/1.82 , Y ), U ), Z, T ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Otop'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.44/1.82 ), Y ), 'c_Orderings_Otop__class_Otop'( X ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( X ) ), Y ), Y ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( X ) ), Y ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.44/1.82 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ) ), Y ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.44/1.82 ) ) ), Y ), Y ) ],
% 1.44/1.82 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 1.44/1.82 Y, Z ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_Orderings_Otop__class_Otop'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y
% 1.44/1.82 , 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.44/1.82 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.44/1.82 , Z, V2, Y ) ) ],
% 1.44/1.82 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.44/1.82 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.44/1.82 , V2, Z, Y ) ) ],
% 1.44/1.82 [ =( 'c_Product__Type_OSigma'( X, 'c_COMBK'(
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ), Z ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.44/1.82 'tc_prod'( Z, Y ), 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( 'c_Product__Type_OSigma'( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , Y ), Z ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), X ), X, U ), hAPP(
% 1.44/1.82 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'(
% 1.44/1.82 X, U ), 'tc_bool' ) ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T,
% 1.44/1.82 'tc_fun'( U, 'tc_bool' ), X ), X, U ) ), 'c_Product__Type_OSigma'( Z,
% 1.44/1.82 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), X ), X, U ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.82 Z, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool'
% 1.44/1.82 ) ) ), T ) ), U ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.44/1.82 Z, 'tc_bool' ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, 'tc_fun'( Z
% 1.44/1.82 , 'tc_bool' ) ), T ) ), U ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.82 Z, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ) ), T ) ), U ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.44/1.82 , hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), T ) ), U ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), T ) ), U ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( Z, 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool'
% 1.44/1.82 ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), Z ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 ), T ) ), U ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.82 ), hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z,
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), T ) ), U ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( Z, 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool'
% 1.44/1.82 ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), Z ),
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ) ), T ) ), U ) )
% 1.44/1.82 ) ],
% 1.44/1.82 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ hBOOL( 'c_Relation_Oantisym'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.44/1.82 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ) ],
% 1.44/1.82 [ =( 'c_Relation_Orel__comp'( X, 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ), T, Y, Z ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( T, Z ), 'tc_bool' )
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ =( 'c_Relation_Orel__comp'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.44/1.82 'tc_prod'( X, Y ), 'tc_bool' ) ), Z, X, Y, T ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, T ), 'tc_bool' )
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBS'( Y, 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.82 Z, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ) ), T ) ), U ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.44/1.82 , hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), T ) ), hAPP(
% 1.44/1.82 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, 'tc_fun'( Z
% 1.44/1.82 , 'tc_bool' ) ), U ) ) ) ],
% 1.44/1.82 [ =( 'c_Relation_Oconverse'( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( X, Y )
% 1.44/1.82 , 'tc_bool' ) ), Z ), T ), X, Y ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( Y, X )
% 1.44/1.82 , 'tc_bool' ) ), 'c_Relation_Oconverse'( Z, X, Y ) ),
% 1.44/1.82 'c_Relation_Oconverse'( T, X, Y ) ) ) ],
% 1.44/1.82 [ hBOOL( 'c_Relation_Osym'( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( X, X )
% 1.44/1.82 , 'tc_bool' ) ), Y ), Z ), X ) ), ~( hBOOL( 'c_Relation_Osym'( Z, X ) ) )
% 1.44/1.82 , ~( hBOOL( 'c_Relation_Osym'( Y, X ) ) ) ],
% 1.44/1.82 [ =( 'c_Relation_Orel__comp'( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( X, Y )
% 1.44/1.82 , 'tc_bool' ) ), Z ), T ), U, X, Y, W ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( X, W )
% 1.44/1.82 , 'tc_bool' ) ), 'c_Relation_Orel__comp'( Z, U, X, Y, W ) ),
% 1.44/1.82 'c_Relation_Orel__comp'( T, U, X, Y, W ) ) ) ],
% 1.44/1.82 [ =( 'c_Relation_Orel__comp'( X, hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( Y, Z )
% 1.44/1.82 , 'tc_bool' ) ), T ), U ), W, Y, Z ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( W, Z )
% 1.44/1.82 , 'tc_bool' ) ), 'c_Relation_Orel__comp'( X, T, W, Y, Z ) ),
% 1.44/1.82 'c_Relation_Orel__comp'( X, U, W, Y, Z ) ) ) ],
% 1.44/1.82 [ =( 'c_Transitive__Closure_Ortrancl'( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( X, X )
% 1.44/1.82 , 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( Y, X ) ),
% 1.44/1.82 'c_Transitive__Closure_Ortrancl'( Z, X ) ), X ),
% 1.44/1.82 'c_Transitive__Closure_Ortrancl'( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( X, X )
% 1.44/1.82 , 'tc_bool' ) ), Y ), Z ), X ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Ovimage'( 'c_COMBI'( X ), X, X ), Y ), Y ) ],
% 1.44/1.82 [ 'c_Fun_Oinj__on'( 'c_COMBI'( X ), Y, X, X ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBI'( X ), X, X ), Y ), Y ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ),
% 1.44/1.82 'c_Lattices_Oboolean__algebra'( hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, X
% 1.44/1.82 ), 'tc_fun'( X, X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'(
% 1.44/1.82 'tc_fun'( X, X ), 'tc_fun'( X, X ) ), X ), 'c_COMBB'( X, X, X ) ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ) ) ),
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ) ), 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.82 ), hAPP( 'c_COMBC'( X, X, 'tc_bool' ), 'c_lessequals'( X ) ), hAPP(
% 1.44/1.82 'c_COMBC'( X, X, 'tc_bool' ), 'c_HOL_Oord__class_Oless'( X ) ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 1.44/1.82 , X ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 1.44/1.82 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), 'c_Wellfounded_Oacc'( Z, X ) )
% 1.44/1.82 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP(
% 1.44/1.82 'c_Pair'( X, X ), Y ), T ) ), 'c_Transitive__Closure_Ortrancl'( Z, X ) )
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 1.44/1.82 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), T ) ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ) ), ~(
% 1.44/1.82 hBOOL( hAPP( hAPP( 'c_in'( X ), T ), 'c_Wellfounded_Oacc'( Z, X ) ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ODomain'( Z, X, X ) )
% 1.44/1.82 ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.82 X, X ), Y ), Y ) ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ) ],
% 1.44/1.82 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), hAPP(
% 1.44/1.82 hAPP( 'c_Pair'( Z, Z ), X ), Y ) ), 'c_Transitive__Closure_Ortrancl'( T,
% 1.44/1.82 Z ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), 'c_Relation_ODomain'( T,
% 1.44/1.82 Z, Z ) ) ) ],
% 1.44/1.82 [ 'c_Lattices_Oboolean__algebra'( hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X
% 1.44/1.82 , X ), 'tc_fun'( X, X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, X ),
% 1.44/1.82 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'( X, X ) ), X ), 'c_COMBB'( X, X, X )
% 1.44/1.82 ), Y ) ), Z ), Z, hAPP( 'c_COMBC'( X, X, 'tc_bool' ), T ), hAPP(
% 1.44/1.82 'c_COMBC'( X, X, 'tc_bool' ), U ), Y, W, V0, V1, X ), ~(
% 1.44/1.82 'c_Lattices_Oboolean__algebra'( V2, Z, T, U, W, Y, V1, V0, X ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, 't_a' ), 'v_x' ),
% 1.44/1.82 'c_Hilbert__Choice_OEps'( hAPP( hAPP( 'c_COMBS'( Z, 'tc_bool', 'tc_bool'
% 1.44/1.82 ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Z
% 1.44/1.82 ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( Z, 'tc_fun'( Z, 'tc_bool' ),
% 1.44/1.82 'tc_bool' ), 'c_in'( Z ) ), X ) ) ), hAPP( hAPP( 'c_COMBC'( Z, 't_a',
% 1.44/1.82 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 1.44/1.82 Z ), 'c_fequal'( 't_a' ) ), Y ) ), 'v_x' ) ), Z ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Fun_Othe__inv__into'( X, Y, Z, 't_a' ), 'v_x' ), 'c_The'(
% 1.44/1.82 hAPP( hAPP( 'c_COMBS'( Z, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.82 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Z ), 'c_and' ), hAPP( hAPP(
% 1.44/1.82 'c_COMBC'( Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), 'c_in'( Z ) ), X ) )
% 1.44/1.82 ), hAPP( hAPP( 'c_COMBC'( Z, 't_a', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.82 't_a', 'tc_fun'( 't_a', 'tc_bool' ), Z ), 'c_fequal'( 't_a' ) ), Y ) ),
% 1.44/1.82 'v_x' ) ), Z ) ) ],
% 1.44/1.82 [ =( 'c_Zorn_OChain'( X, Y ), hAPP( 'c_Collect'( 'tc_fun'( Y, 'tc_bool'
% 1.44/1.82 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_bool',
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ) ), 'c_All'( Y ) ), hAPP( hAPP( 'c_COMBS'(
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'( 'tc_bool',
% 1.44/1.82 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool'
% 1.44/1.82 ) ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ) )
% 1.44/1.82 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_fun'(
% 1.44/1.82 'tc_bool', 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_COMBB'(
% 1.44/1.82 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_implies' ) ), hAPP(
% 1.44/1.82 'c_COMBC'( Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), 'c_in'( Y ) ) ) ) )
% 1.44/1.82 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_COMBB'(
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', Y ), 'c_All'( Y ) ) ), hAPP( hAPP(
% 1.44/1.82 'c_COMBC'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_fun'( Y, 'tc_bool'
% 1.44/1.82 ) ), 'tc_fun'( Y, 'tc_fun'( Y, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.82 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.82 'tc_fun'( Y, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_COMBB'( 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), Y ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.82 'tc_fun'( Y, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ),
% 1.44/1.82 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.82 Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.82 Y, 'tc_bool' ) ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.44/1.82 'tc_bool' ), Y ), 'c_implies' ) ), hAPP( 'c_COMBC'( Y, 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ), 'tc_bool' ), 'c_in'( Y ) ) ) ) ) ), hAPP( hAPP( 'c_COMBS'( Y
% 1.44/1.82 , 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.82 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), Y ), 'c_COMBS'( Y,
% 1.44/1.82 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' )
% 1.44/1.82 , 'tc_fun'( Y, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), Y ), hAPP( 'c_COMBB'(
% 1.44/1.82 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_or' ) ), hAPP( hAPP(
% 1.44/1.82 'c_COMBC'( Y, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ), 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'( 'tc_fun'(
% 1.44/1.82 'tc_prod'( Y, Y ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.44/1.82 'tc_prod'( Y, Y ), 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), Y ),
% 1.44/1.82 'c_COMBC'( Y, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.82 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_prod'( Y, Y ) ), 'tc_fun'( Y,
% 1.44/1.82 'tc_fun'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ), 'tc_bool' ) ), Y ),
% 1.44/1.82 hAPP( 'c_COMBB'( 'tc_prod'( Y, Y ), 'tc_fun'( 'tc_fun'( 'tc_prod'( Y, Y )
% 1.44/1.82 , 'tc_bool' ), 'tc_bool' ), Y ), 'c_in'( 'tc_prod'( Y, Y ) ) ) ),
% 1.44/1.82 'c_Pair'( Y, Y ) ) ) ), X ) ) ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'(
% 1.44/1.82 'tc_prod'( Y, Y ), 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.82 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 1.44/1.82 ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ),
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ) ), Y ), 'c_COMBC'( Y, 'tc_fun'( 'tc_prod'( Y, Y
% 1.44/1.82 ), 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.44/1.82 'tc_prod'( Y, Y ) ), 'tc_fun'( Y, 'tc_fun'( 'tc_fun'( 'tc_prod'( Y, Y ),
% 1.44/1.82 'tc_bool' ), 'tc_bool' ) ), Y ), hAPP( 'c_COMBB'( 'tc_prod'( Y, Y ),
% 1.44/1.82 'tc_fun'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ), 'tc_bool' ), Y ),
% 1.44/1.82 'c_in'( 'tc_prod'( Y, Y ) ) ) ), hAPP( 'c_COMBC'( Y, Y, 'tc_prod'( Y, Y )
% 1.44/1.82 ), 'c_Pair'( Y, Y ) ) ) ) ), X ) ) ) ) ) ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.44/1.82 ), hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.82 X ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.82 'tc_bool' ), 'c_in'( X ) ), Y ) ) ) ) ],
% 1.44/1.82 [ 'c_Fun_Oinj__on'( hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oinsert'( X ) ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.44/1.82 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), hAPP( 'c_Collect'( Y ), hAPP(
% 1.44/1.82 hAPP( 'c_COMBC'( Y, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), hAPP( hAPP(
% 1.44/1.82 'c_COMBB'( Z, 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), Y ),
% 1.44/1.82 'c_in'( Z ) ), X ) ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Oorder_Omono'( Y,
% 1.44/1.82 Z, X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_bool',
% 1.44/1.82 'tc_fun'( Z, X ) ), 'c_All'( Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, X ) )
% 1.44/1.82 , hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_bool', Z ), 'c_All'( Z )
% 1.44/1.82 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.44/1.82 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, X ) ), hAPP(
% 1.44/1.82 'c_COMBS'( Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 1.44/1.82 hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.44/1.82 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 1.44/1.82 'c_COMBS'( Z, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.82 Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), Z ),
% 1.44/1.82 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Z ),
% 1.44/1.82 'c_implies' ) ), Y ) ) ) ), hAPP( hAPP( 'c_COMBS'( 'tc_fun'( Z, X ),
% 1.44/1.82 'tc_fun'( Z, X ), 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.44/1.82 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( 'tc_fun'( Z, X ), 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( Z, X ), 'tc_fun'( Z, 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ) ), 'tc_fun'( Z, X ) ), 'c_COMBC'( Z, 'tc_fun'( Z, X ),
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z,
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_fun'( 'tc_fun'( Z, X ),
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z, X ) ), hAPP( 'c_COMBB'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Z, X ), 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ), Z ), 'c_COMBB'( X, 'tc_bool', Z ) ) ), hAPP( 'c_COMBB'( X
% 1.44/1.82 , 'tc_fun'( X, 'tc_bool' ), Z ), 'c_lessequals'( X ) ) ) ) ), 'c_COMBI'(
% 1.44/1.82 'tc_fun'( Z, X ) ) ) ) ) ) ), ~( 'c_Orderings_Oorder'( Y, T, Z ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.44/1.82 'c_Orderings_Oorder_Ostrict__mono'( Y, Z, X ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ), 'tc_bool', 'tc_fun'( Z, X ) ), 'c_All'( Z ) ),
% 1.44/1.82 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.82 Z, 'tc_bool' ), 'tc_fun'( Z, X ) ), hAPP( 'c_COMBB'( 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ), 'tc_bool', Z ), 'c_All'( Z ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.82 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ), 'tc_fun'( Z, X ) ), hAPP( 'c_COMBS'( Z, 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.82 Z, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( Z, 'tc_bool' )
% 1.44/1.82 , 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_COMBS'( Z, 'tc_bool', 'tc_bool' ) )
% 1.44/1.82 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_fun'(
% 1.44/1.82 'tc_bool', 'tc_bool' ) ), Z ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.82 'tc_bool', 'tc_bool' ), Z ), 'c_implies' ) ), Y ) ) ) ), hAPP( hAPP(
% 1.44/1.82 'c_COMBS'( 'tc_fun'( Z, X ), 'tc_fun'( Z, X ), 'tc_fun'( Z, 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( 'tc_fun'(
% 1.44/1.82 Z, X ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( Z, X ),
% 1.44/1.82 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z, X ) ), 'c_COMBC'(
% 1.44/1.82 Z, 'tc_fun'( Z, X ), 'tc_fun'( Z, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.82 'tc_fun'( Z, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_fun'( 'tc_fun'(
% 1.44/1.82 Z, X ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z, X ) ), hAPP( 'c_COMBB'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Z, X ), 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ), Z ), 'c_COMBB'( X, 'tc_bool', Z ) ) ), hAPP( 'c_COMBB'( X
% 1.44/1.82 , 'tc_fun'( X, 'tc_bool' ), Z ), 'c_HOL_Oord__class_Oless'( X ) ) ) ) ),
% 1.44/1.82 'c_COMBI'( 'tc_fun'( Z, X ) ) ) ) ) ) ), ~( 'c_Orderings_Oorder'( T, Y, Z
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.44/1.82 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.44/1.82 'tc_bool' ), X ), 'c_and' ), Y ) ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , hAPP( 'c_Collect'( X ), Y ) ), hAPP( 'c_Collect'( X ), Z ) ) ) ],
% 1.44/1.82 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.44/1.82 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.82 'tc_bool', 'tc_bool' ), X ), 'c_and' ), Y ) ), Z ) ), X ), ~(
% 1.44/1.82 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ) ) ],
% 1.44/1.82 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.44/1.82 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.82 'tc_bool', 'tc_bool' ), X ), 'c_and' ), Y ) ), Z ) ), X ), ~(
% 1.44/1.82 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.44/1.82 'c_Finite__Set_Olattice__class_OSup__fin'( Y, X ) ),
% 1.44/1.82 'c_Finite__Set_Olattice__class_OSup__fin'( Z, X ) ),
% 1.44/1.82 'c_Finite__Set_Olattice__class_OSup__fin'( hAPP( 'c_Collect'( X ), hAPP(
% 1.44/1.82 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) )
% 1.44/1.82 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ),
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.82 , 'tc_bool', X ), 'c_Ex'( X ) ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X
% 1.44/1.82 , 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.44/1.82 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( X, 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ), X ), 'c_COMBS'(
% 1.44/1.82 X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.44/1.82 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.44/1.82 , 'tc_fun'( X, 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.44/1.82 ) ) ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.44/1.82 ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X )
% 1.44/1.82 , 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.82 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X,
% 1.44/1.82 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), X ), hAPP(
% 1.44/1.82 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ) )
% 1.44/1.82 ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_fun'( X, X ) ), 'tc_fun'(
% 1.44/1.82 X, 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.82 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X,
% 1.44/1.82 'tc_fun'( X, X ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ), X ),
% 1.44/1.82 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ), X ) ), hAPP( hAPP(
% 1.44/1.82 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), X ), 'c_COMBB'( X, 'tc_bool', X ) ), 'c_fequal'( X ) )
% 1.44/1.82 ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X ) ) ) ) ) ), hAPP(
% 1.44/1.82 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'(
% 1.44/1.82 'tc_bool', 'tc_bool', X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.82 'tc_bool', 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X,
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ) ) ), hAPP(
% 1.44/1.82 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) )
% 1.44/1.82 , Z ) ) ) ) ) ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.44/1.82 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y,
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.44/1.82 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, 'c_Finite__Set_Olattice_OInf__fin'( Y, Z, T ) ),
% 1.44/1.82 'c_Finite__Set_Olattice_OInf__fin'( Y, U, T ) ),
% 1.44/1.82 'c_Finite__Set_Olattice_OInf__fin'( Y, hAPP( 'c_Collect'( T ), hAPP( hAPP(
% 1.44/1.82 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T ), 'c_Ex'( T ) ), hAPP(
% 1.44/1.82 hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ), T ), hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T
% 1.44/1.82 ), 'c_Ex'( T ) ) ), hAPP( hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.44/1.82 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ),
% 1.44/1.82 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), T ), 'c_COMBS'( T, 'tc_fun'( T
% 1.44/1.82 , 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.82 'tc_fun'( T, 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'(
% 1.44/1.82 T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ) ), T )
% 1.44/1.82 , hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.44/1.82 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), T ),
% 1.44/1.82 'c_COMBS'( T, 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.82 T, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_fun'(
% 1.44/1.82 'tc_bool', 'tc_bool' ) ) ), T ), hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool'
% 1.44/1.82 ), 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), T ), hAPP( 'c_COMBB'(
% 1.44/1.82 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ) ) ), hAPP(
% 1.44/1.82 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_fun'( T, T ) ), 'tc_fun'( T,
% 1.44/1.82 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'(
% 1.44/1.82 T, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( T, T
% 1.44/1.82 ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), T ), 'c_COMBB'( 'tc_fun'(
% 1.44/1.82 T, T ), 'tc_fun'( T, 'tc_bool' ), T ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.82 T, 'tc_bool' ), 'tc_fun'( 'tc_fun'( T, T ), 'tc_fun'( T, 'tc_bool' ) ), T
% 1.44/1.82 ), 'c_COMBB'( T, 'tc_bool', T ) ), 'c_fequal'( T ) ) ) ), X ) ) ) ) ),
% 1.44/1.82 hAPP( hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.82 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), T ),
% 1.44/1.82 'c_COMBB'( 'tc_bool', 'tc_bool', T ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool'
% 1.44/1.82 , 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.82 T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) ), Z ) ) ) ), hAPP(
% 1.44/1.82 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) )
% 1.44/1.82 , U ) ) ) ) ) ), T ) ), =( U, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T
% 1.44/1.82 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ), =( Z,
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 1.44/1.82 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Lattices_Odistrib__lattice'( W,
% 1.44/1.82 V0, Y, X, T ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, 'c_Finite__Set_Olattice_OSup__fin'( Y, Z, T ) ),
% 1.44/1.82 'c_Finite__Set_Olattice_OSup__fin'( Y, U, T ) ),
% 1.44/1.82 'c_Finite__Set_Olattice_OSup__fin'( Y, hAPP( 'c_Collect'( T ), hAPP( hAPP(
% 1.44/1.82 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T ), 'c_Ex'( T ) ), hAPP(
% 1.44/1.82 hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ), T ), hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T
% 1.44/1.82 ), 'c_Ex'( T ) ) ), hAPP( hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.44/1.82 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ),
% 1.44/1.82 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), T ), 'c_COMBS'( T, 'tc_fun'( T
% 1.44/1.82 , 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.82 'tc_fun'( T, 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'(
% 1.44/1.82 T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ) ), T )
% 1.44/1.82 , hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.44/1.82 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), T ),
% 1.44/1.82 'c_COMBS'( T, 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.82 T, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_fun'(
% 1.44/1.82 'tc_bool', 'tc_bool' ) ) ), T ), hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool'
% 1.44/1.82 ), 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), T ), hAPP( 'c_COMBB'(
% 1.44/1.82 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ) ) ), hAPP(
% 1.44/1.82 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_fun'( T, T ) ), 'tc_fun'( T,
% 1.44/1.82 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'(
% 1.44/1.82 T, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( T, T
% 1.44/1.82 ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), T ), 'c_COMBB'( 'tc_fun'(
% 1.44/1.82 T, T ), 'tc_fun'( T, 'tc_bool' ), T ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.82 T, 'tc_bool' ), 'tc_fun'( 'tc_fun'( T, T ), 'tc_fun'( T, 'tc_bool' ) ), T
% 1.44/1.82 ), 'c_COMBB'( T, 'tc_bool', T ) ), 'c_fequal'( T ) ) ) ), X ) ) ) ) ),
% 1.44/1.82 hAPP( hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.82 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), T ),
% 1.44/1.82 'c_COMBB'( 'tc_bool', 'tc_bool', T ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool'
% 1.44/1.82 , 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.82 T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) ), Z ) ) ) ), hAPP(
% 1.44/1.82 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) )
% 1.44/1.82 , U ) ) ) ) ) ), T ) ), =( U, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T
% 1.44/1.82 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ), =( Z,
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 1.44/1.82 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Lattices_Odistrib__lattice'( W,
% 1.44/1.82 V0, X, Y, T ) ) ],
% 1.44/1.82 [ =( 'c_Relation_Orel__comp'( 'v_r', 'v_s', 't_a', 't_b', 't_c' ), hAPP(
% 1.44/1.82 'c_Collect'( 'tc_prod'( 't_a', 't_c' ) ), 'c_split'( hAPP( hAPP(
% 1.44/1.82 'c_COMBB'( 'tc_fun'( 't_c', 'tc_fun'( 't_b', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.82 't_c', 'tc_bool' ), 't_a' ), hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool'
% 1.44/1.82 ), 'tc_bool', 't_c' ), 'c_Ex'( 't_b' ) ) ), hAPP( hAPP( 'c_COMBC'( 't_a'
% 1.44/1.82 , 'tc_fun'( 't_c', 'tc_fun'( 't_b', 'tc_bool' ) ), 'tc_fun'( 't_c',
% 1.44/1.82 'tc_fun'( 't_b', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.82 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.82 'tc_fun'( 't_c', 'tc_fun'( 't_b', 'tc_bool' ) ), 'tc_fun'( 't_c',
% 1.44/1.82 'tc_fun'( 't_b', 'tc_bool' ) ) ), 't_a' ), 'c_COMBB'( 'tc_fun'( 't_b',
% 1.44/1.82 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ), 't_c' ) ), hAPP( hAPP(
% 1.44/1.82 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.82 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), 't_a' ),
% 1.44/1.82 'c_COMBS'( 't_b', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.82 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'( 't_b', 'tc_fun'( 'tc_bool',
% 1.44/1.82 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.44/1.82 'tc_bool' ), 't_b' ), 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'(
% 1.44/1.82 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ),
% 1.44/1.82 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.44/1.82 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.44/1.82 't_a', 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), 't_a' ),
% 1.44/1.82 'c_COMBC'( 't_b', 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ),
% 1.44/1.82 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_prod'( 't_a',
% 1.44/1.82 't_b' ) ), 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' )
% 1.44/1.82 , 'tc_bool' ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a'
% 1.44/1.82 , 't_b' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ),
% 1.44/1.82 'tc_bool' ), 't_b' ), 'c_in'( 'tc_prod'( 't_a', 't_b' ) ) ) ), 'c_Pair'(
% 1.44/1.82 't_a', 't_b' ) ) ) ), 'v_r' ) ) ) ) ), hAPP( hAPP( 'c_COMBC'( 't_c',
% 1.44/1.82 'tc_fun'( 'tc_prod'( 't_b', 't_c' ), 'tc_bool' ), 'tc_fun'( 't_b',
% 1.44/1.82 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'(
% 1.44/1.82 'tc_prod'( 't_b', 't_c' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.44/1.82 'tc_prod'( 't_b', 't_c' ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ),
% 1.44/1.82 't_c' ), 'c_COMBC'( 't_b', 'tc_fun'( 'tc_prod'( 't_b', 't_c' ), 'tc_bool'
% 1.44/1.82 ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_prod'(
% 1.44/1.82 't_b', 't_c' ) ), 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_b',
% 1.44/1.82 't_c' ), 'tc_bool' ), 'tc_bool' ) ), 't_c' ), hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.82 't_b', 't_c' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_b', 't_c' ), 'tc_bool'
% 1.44/1.82 ), 'tc_bool' ), 't_b' ), 'c_in'( 'tc_prod'( 't_b', 't_c' ) ) ) ), hAPP(
% 1.44/1.82 'c_COMBC'( 't_b', 't_c', 'tc_prod'( 't_b', 't_c' ) ), 'c_Pair'( 't_b',
% 1.44/1.82 't_c' ) ) ) ) ), 'v_s' ) ) ), 't_a', 't_c', 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( 'c_List_Olistsp'( hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_bool',
% 1.44/1.82 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.44/1.82 'tc_bool' ), 't_a' ), 'c_and' ), X ) ), Y ), 'v_x', 't_a' ), hAPP( hAPP(
% 1.44/1.82 'c_and', 'c_List_Olistsp'( X, 'v_x', 't_a' ) ), 'c_List_Olistsp'( Y,
% 1.44/1.82 'v_x', 't_a' ) ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Set_Oimage'( 'v_f', 't_a', 't_b' ), 'v_A' ), hAPP(
% 1.44/1.82 'c_Collect'( 't_b' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' )
% 1.44/1.82 , 'tc_bool', 't_b' ), 'c_Ex'( 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.82 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ), 't_b' ), hAPP(
% 1.44/1.82 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.82 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ), 'c_and' ), hAPP(
% 1.44/1.82 hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.44/1.82 't_a' ) ), 'v_A' ) ) ) ), hAPP( hAPP( 'c_COMBC'( 't_b', 'tc_fun'( 't_a',
% 1.44/1.82 't_b' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 't_b', 'tc_bool' ), 'tc_fun'( 'tc_fun'( 't_a', 't_b' ), 'tc_fun'( 't_a',
% 1.44/1.83 'tc_bool' ) ), 't_b' ), 'c_COMBB'( 't_b', 'tc_bool', 't_a' ) ),
% 1.44/1.83 'c_fequal'( 't_b' ) ) ), 'v_f' ) ) ) ) ) ],
% 1.44/1.83 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.44/1.83 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ), Z ) ) ), T ) ) ), X ),
% 1.44/1.83 ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 X, Y, 'tc_bool' ), T ),
% 1.44/1.83 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1'( Z
% 1.44/1.83 , T, Y, X ) ) ), X ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( Y
% 1.44/1.83 ), Z ), Y ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.44/1.83 Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y, 'tc_bool' ),
% 1.44/1.83 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool'
% 1.44/1.83 ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.44/1.83 ), Z ) ), T ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 1.44/1.83 ) ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y,
% 1.44/1.83 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Z,
% 1.44/1.83 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 Z, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z,
% 1.44/1.83 'tc_bool' ) ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.83 'tc_fun'( Z, 'tc_bool' ) ) ), T ) ), U ) ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.44/1.83 , hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y,
% 1.44/1.83 'tc_fun'( Z, 'tc_bool' ) ), T ) ), U ) ), =( X,
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.83 X, 'tc_bool' ) ), hAPP(
% 1.44/1.83 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, 'tc_fun'( X
% 1.44/1.83 , 'tc_bool' ) ), T ) ), U ), hAPP(
% 1.44/1.83 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, 'tc_fun'( X
% 1.44/1.83 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( Z, 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool'
% 1.44/1.83 ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), Z ),
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.83 ), T ) ), U ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.44/1.83 'tc_bool' ) ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Oorder'( 't_a' ) ), ~( 'class_Orderings_Oorder'(
% 1.44/1.83 't_b' ) ), =( 'c_Orderings_Oorder__class_Ostrict__mono'( 'v_f', 't_a',
% 1.44/1.83 't_b' ), hAPP( 'c_All'( 't_a' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.44/1.83 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'( 't_a' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBS'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a',
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.44/1.83 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'( 't_a', 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.44/1.83 'c_implies' ) ), 'c_HOL_Oord__class_Oless'( 't_a' ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 't_b' ), 'tc_fun'( 't_a', 'tc_bool' )
% 1.44/1.83 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( 't_a', 't_b' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ),
% 1.44/1.83 'c_COMBB'( 't_b', 'tc_bool', 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 't_b',
% 1.44/1.83 'tc_fun'( 't_b', 'tc_bool' ), 't_a' ), 'c_HOL_Oord__class_Oless'( 't_b' )
% 1.44/1.83 ), 'v_f' ) ) ), 'v_f' ) ) ) ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Oorder'( 't_a' ) ), ~( 'class_Orderings_Oorder'(
% 1.44/1.83 't_b' ) ), =( 'c_Orderings_Oorder__class_Omono'( 'v_f', 't_a', 't_b' ),
% 1.44/1.83 hAPP( 'c_All'( 't_a' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool'
% 1.44/1.83 ), 'tc_bool', 't_a' ), 'c_All'( 't_a' ) ), hAPP( hAPP( 'c_COMBS'( 't_a'
% 1.44/1.83 , 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.44/1.83 't_a' ), 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.44/1.83 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.83 'tc_bool', 'tc_bool' ), 't_a' ), 'c_implies' ) ), 'c_lessequals'( 't_a' )
% 1.44/1.83 ) ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 't_b' ), 'tc_fun'(
% 1.44/1.83 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' )
% 1.44/1.83 , 'tc_fun'( 'tc_fun'( 't_a', 't_b' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.44/1.83 't_a' ), 'c_COMBB'( 't_b', 'tc_bool', 't_a' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 't_b', 'tc_fun'( 't_b', 'tc_bool' ), 't_a' ), 'c_lessequals'( 't_b' ) ),
% 1.44/1.83 'v_f' ) ) ), 'v_f' ) ) ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Predicate_Oconversep'( hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ), 't_a' ), hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_bool', 'tc_bool', 't_a' ), 'c_Not' ) ), 'c_fequal'( 't_a'
% 1.44/1.83 ) ), 't_a', 't_a' ), 'v_x' ), 'v_y' ), hAPP( 'c_Not', hAPP( hAPP(
% 1.44/1.83 'c_fequal'( 't_a' ), 'v_x' ), 'v_y' ) ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_Collect'( 'tc_prod'( X, Y ) ), 'c_split'( hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( X, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y
% 1.44/1.83 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ), 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_bool', Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ), X ), 'c_and' ), Z ) ) ), T ), X, Y, 'tc_bool' ) ),
% 1.44/1.83 'c_Product__Type_OSigma'( hAPP( 'c_Collect'( X ), Z ), 'c_COMBK'( hAPP(
% 1.44/1.83 'c_Collect'( Y ), T ), 'tc_fun'( Y, 'tc_bool' ), X ), X, Y ) ) ],
% 1.44/1.83 [ =( 'c_Relation_Oirrefl'( 'v_r', 't_a' ), hAPP( 'c_All'( 't_a' ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool', 't_a' ), 'c_Not' ), hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ),
% 1.44/1.83 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ), 't_a' ),
% 1.44/1.83 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ), hAPP( hAPP( 'c_COMBS'( 't_a',
% 1.44/1.83 't_a', 'tc_prod'( 't_a', 't_a' ) ), 'c_Pair'( 't_a', 't_a' ) ), 'c_COMBI'(
% 1.44/1.83 't_a' ) ) ) ), 'v_r' ) ) ) ) ],
% 1.44/1.83 [ =( 'c_Product__Type_OSigma'( X, hAPP( hAPP( 'c_COMBS'( Y, 'tc_fun'( Z
% 1.44/1.83 , 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z
% 1.44/1.83 , 'tc_bool' ) ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.83 'tc_fun'( Z, 'tc_bool' ) ) ), T ) ), U ), Y, Z ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( Y, Z )
% 1.44/1.83 , 'tc_bool' ) ), 'c_Product__Type_OSigma'( X, T, Y, Z ) ),
% 1.44/1.83 'c_Product__Type_OSigma'( X, U, Y, Z ) ) ) ],
% 1.44/1.83 [ =( 'c_Relation_Osingle__valued'( 'v_r', 't_a', 't_b' ), hAPP( 'c_All'(
% 1.44/1.83 't_a' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_bool',
% 1.44/1.83 't_a' ), 'c_All'( 't_b' ) ), hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_fun'(
% 1.44/1.83 't_b', 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 't_b', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 't_b', 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), 't_a' ), 'c_COMBS'(
% 1.44/1.83 't_b', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 't_b', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' )
% 1.44/1.83 , hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_b' ),
% 1.44/1.83 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a'
% 1.44/1.83 , 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' )
% 1.44/1.83 , 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b'
% 1.44/1.83 ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), 't_a' ), 'c_COMBC'(
% 1.44/1.83 't_b', 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_prod'( 't_a', 't_b' ) ),
% 1.44/1.83 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool'
% 1.44/1.83 ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_b' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 't_b' ), 'c_in'( 'tc_prod'( 't_a', 't_b' ) ) ) ), 'c_Pair'( 't_a', 't_b'
% 1.44/1.83 ) ) ) ), 'v_r' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'(
% 1.44/1.83 't_b', 'tc_bool' ) ), 'tc_fun'( 't_b', 'tc_bool' ), 't_a' ), hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_bool', 't_b' ), 'c_All'(
% 1.44/1.83 't_b' ) ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_b', 'tc_fun'(
% 1.44/1.83 't_b', 'tc_bool' ) ), 'tc_fun'( 't_b', 'tc_fun'( 't_b', 'tc_bool' ) ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 't_b', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 't_b',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 't_b', 'tc_fun'( 't_b', 'tc_bool' ) ) ), 't_a' )
% 1.44/1.83 , 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ),
% 1.44/1.83 't_b' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'( 't_b',
% 1.44/1.83 'tc_bool' ) ), 't_a' ), 'c_COMBS'( 't_b', 'tc_bool', 'tc_bool' ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'( 't_b', 'tc_fun'(
% 1.44/1.83 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.83 'tc_bool', 'tc_bool' ), 't_b' ), 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b'
% 1.44/1.83 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b',
% 1.44/1.83 'tc_bool' ) ), 't_a' ), 'c_COMBC'( 't_b', 'tc_fun'( 'tc_prod'( 't_a',
% 1.44/1.83 't_b' ), 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 't_b', 'tc_prod'( 't_a', 't_b' ) ), 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ) ), 't_a' ), hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_prod'( 't_a', 't_b' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ), 't_b' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 't_a', 't_b' ) ) ) ), 'c_Pair'( 't_a', 't_b' ) ) ) ), 'v_r' ) ) ) ) ),
% 1.44/1.83 'c_fequal'( 't_b' ) ) ) ) ) ) ) ],
% 1.44/1.83 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.44/1.83 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), 'c_in'( Y ) ), Z ) ) ) ), T ) )
% 1.44/1.83 ), X ), hBOOL( hAPP( hAPP( 'c_in'( Y ),
% 1.44/1.83 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bex__1__1'( Z, T, Y,
% 1.44/1.83 X ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.44/1.83 [ =( 'c_FuncSet_Oextensional'( X, Y, Z ), hAPP( 'c_Collect'( 'tc_fun'( Y
% 1.44/1.83 , Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_bool',
% 1.44/1.83 'tc_fun'( Y, Z ) ), 'c_All'( Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.44/1.83 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, Z ) ), hAPP(
% 1.44/1.83 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_implies' ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_bool', 'tc_bool', Y ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'( Y
% 1.44/1.83 , 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), 'c_in'( Y ) ), X ) ) ) ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBC'( 'tc_fun'( Y, Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z,
% 1.44/1.83 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, Z ) ), 'c_COMBC'( Y, Z,
% 1.44/1.83 'tc_bool' ) ), hAPP( 'c_COMBB'( Z, 'tc_fun'( Z, 'tc_bool' ), Y ),
% 1.44/1.83 'c_fequal'( Z ) ) ) ), 'c_HOL_Oundefined'( Z ) ) ) ) ) ) ],
% 1.44/1.83 [ =( 'c_Predicate_ODomainP'( hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'(
% 1.44/1.83 'tc_prod'( 't_a', X ), 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', X ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', X ),
% 1.44/1.83 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), 't_a' ), 'c_COMBC'( X, 'tc_fun'(
% 1.44/1.83 'tc_prod'( 't_a', X ), 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( X, 'tc_prod'( 't_a', X ) ), 'tc_fun'( X, 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 't_a', X ), 'tc_bool' ), 'tc_bool' ) ), 't_a' ), hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_prod'( 't_a', X ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', X
% 1.44/1.83 ), 'tc_bool' ), 'tc_bool' ), X ), 'c_in'( 'tc_prod'( 't_a', X ) ) ) ),
% 1.44/1.83 'c_Pair'( 't_a', X ) ) ) ), Y ), 'v_x', 't_a', X ), hAPP( hAPP( 'c_in'(
% 1.44/1.83 't_a' ), 'v_x' ), 'c_Relation_ODomain'( Y, 't_a', X ) ) ) ],
% 1.44/1.83 [ =( 'c_Wellfounded_Oaccp'( hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'(
% 1.44/1.83 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ),
% 1.44/1.83 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a',
% 1.44/1.83 't_a' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' )
% 1.44/1.83 , 'tc_bool' ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a'
% 1.44/1.83 , 't_a' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ),
% 1.44/1.83 'tc_bool' ), 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), 'c_Pair'(
% 1.44/1.83 't_a', 't_a' ) ) ) ), X ), 'v_x', 't_a' ), hAPP( hAPP( 'c_in'( 't_a' ),
% 1.44/1.83 'v_x' ), 'c_Wellfounded_Oacc'( X, 't_a' ) ) ) ],
% 1.44/1.83 [ =( 'c_Predicate_ORangeP'( hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'(
% 1.44/1.83 'tc_prod'( X, 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( X, 't_a'
% 1.44/1.83 ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( X, 't_a' )
% 1.44/1.83 , 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), X ), 'c_COMBC'( 't_a',
% 1.44/1.83 'tc_fun'( 'tc_prod'( X, 't_a' ), 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( X, 't_a' ) ), 'tc_fun'( 't_a',
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( X, 't_a' ), 'tc_bool' ), 'tc_bool' ) ), X
% 1.44/1.83 ), hAPP( 'c_COMBB'( 'tc_prod'( X, 't_a' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 X, 't_a' ), 'tc_bool' ), 'tc_bool' ), 't_a' ), 'c_in'( 'tc_prod'( X,
% 1.44/1.83 't_a' ) ) ) ), 'c_Pair'( X, 't_a' ) ) ) ), Y ), 'v_x', X, 't_a' ), hAPP(
% 1.44/1.83 hAPP( 'c_in'( 't_a' ), 'v_x' ), 'c_Relation_ORange'( Y, X, 't_a' ) ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Predicate_Opred__comp'( hAPP( hAPP( 'c_COMBC'( 't_a'
% 1.44/1.83 , 'tc_fun'( 'tc_prod'( 't_a', X ), 'tc_bool' ), 'tc_fun'( X, 'tc_bool' )
% 1.44/1.83 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 't_a', X ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 't_a', X ), 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), 't_a' ), 'c_COMBC'(
% 1.44/1.83 X, 'tc_fun'( 'tc_prod'( 't_a', X ), 'tc_bool' ), 'tc_bool' ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_prod'( 't_a', X ) ), 'tc_fun'( X,
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', X ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', X ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 't_a', X ), 'tc_bool' ), 'tc_bool' ), X ), 'c_in'( 'tc_prod'(
% 1.44/1.83 't_a', X ) ) ) ), 'c_Pair'( 't_a', X ) ) ) ), Y ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 X, 'tc_fun'( 'tc_prod'( X, 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b',
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( X, 't_b' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( X, 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), X ),
% 1.44/1.83 'c_COMBC'( 't_b', 'tc_fun'( 'tc_prod'( X, 't_b' ), 'tc_bool' ), 'tc_bool'
% 1.44/1.83 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_prod'( X, 't_b' ) ),
% 1.44/1.83 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( X, 't_b' ), 'tc_bool' ),
% 1.44/1.83 'tc_bool' ) ), X ), hAPP( 'c_COMBB'( 'tc_prod'( X, 't_b' ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( X, 't_b' ), 'tc_bool' ), 'tc_bool' ), 't_b' ),
% 1.44/1.83 'c_in'( 'tc_prod'( X, 't_b' ) ) ) ), 'c_Pair'( X, 't_b' ) ) ) ), Z ),
% 1.44/1.83 't_a', X, 't_b' ), 'v_x' ), 'v_y' ), hAPP( hAPP( 'c_in'( 'tc_prod'( 't_a'
% 1.44/1.83 , 't_b' ) ), hAPP( hAPP( 'c_Pair'( 't_a', 't_b' ), 'v_x' ), 'v_y' ) ),
% 1.44/1.83 'c_Relation_Orel__comp'( Y, Z, 't_a', X, 't_b' ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.44/1.83 't_b', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 't_a', 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' )
% 1.44/1.83 , 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b'
% 1.44/1.83 ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), 't_a' ), 'c_COMBC'(
% 1.44/1.83 't_b', 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_prod'( 't_a', 't_b' ) ),
% 1.44/1.83 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool'
% 1.44/1.83 ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_b' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 't_b' ), 'c_in'( 'tc_prod'( 't_a', 't_b' ) ) ) ), 'c_Pair'( 't_a', 't_b'
% 1.44/1.83 ) ) ) ), X ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a'
% 1.44/1.83 , 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' )
% 1.44/1.83 , 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b'
% 1.44/1.83 ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), 't_a' ), 'c_COMBC'(
% 1.44/1.83 't_b', 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_prod'( 't_a', 't_b' ) ),
% 1.44/1.83 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool'
% 1.44/1.83 ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_b' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 't_b' ), 'c_in'( 'tc_prod'( 't_a', 't_b' ) ) ) ), 'c_Pair'( 't_a', 't_b'
% 1.44/1.83 ) ) ) ), Y ) ), 'v_x' ), 'v_y' ), hAPP( hAPP( 'c_in'( 'tc_prod'( 't_a',
% 1.44/1.83 't_b' ) ), hAPP( hAPP( 'c_Pair'( 't_a', 't_b' ), 'v_x' ), 'v_y' ) ), hAPP(
% 1.44/1.83 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 't_a', 't_b' ), 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Predicate_Oconversep'( hAPP( hAPP( 'c_COMBC'( 't_b'
% 1.44/1.83 , 'tc_fun'( 'tc_prod'( 't_b', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a',
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 't_b', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 't_b', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.44/1.83 't_b' ), 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_b', 't_a' ), 'tc_bool'
% 1.44/1.83 ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'(
% 1.44/1.83 't_b', 't_a' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_b',
% 1.44/1.83 't_a' ), 'tc_bool' ), 'tc_bool' ) ), 't_b' ), hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 't_b', 't_a' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_b', 't_a' ), 'tc_bool'
% 1.44/1.83 ), 'tc_bool' ), 't_a' ), 'c_in'( 'tc_prod'( 't_b', 't_a' ) ) ) ),
% 1.44/1.83 'c_Pair'( 't_b', 't_a' ) ) ) ), X ), 't_b', 't_a' ), 'v_x' ), 'v_y' ),
% 1.44/1.83 hAPP( hAPP( 'c_in'( 'tc_prod'( 't_a', 't_b' ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.83 't_a', 't_b' ), 'v_x' ), 'v_y' ) ), 'c_Relation_Oconverse'( X, 't_b',
% 1.44/1.83 't_a' ) ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.83 X, Y ), Z ), T ) ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), hAPP(
% 1.44/1.83 'c_Relation_OImage'( U, X, Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Relation_OImage'( Z, T,
% 1.44/1.83 X ), hAPP( hAPP( 'c_Set_Oinsert'( T ), U ),
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ), ~(
% 1.44/1.83 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), hAPP( hAPP( 'c_Pair'( T,
% 1.44/1.83 X ), U ), Y ) ), Z ) ) ) ],
% 1.44/1.83 [ =( 'c_Relation_OField'( hAPP( hAPP( 'c_Set_Oinsert'( 'tc_prod'( X, X )
% 1.44/1.83 ), hAPP( hAPP( 'c_Pair'( X, X ), Y ), Z ) ), T ), X ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.83 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.44/1.83 , Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ),
% 1.44/1.83 'c_Relation_OField'( T, X ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.44/1.83 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.44/1.83 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' )
% 1.44/1.83 , 'tc_fun'( 't_a', 'tc_bool' ), X ), hAPP( 'c_COMBC'( 't_a', 'tc_fun'(
% 1.44/1.83 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'( 't_a' ) ) ), Y ) ), 'v_x' ),
% 1.44/1.83 hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ), hAPP(
% 1.44/1.83 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.44/1.83 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.44/1.83 't_a', 'tc_bool' ) ), Y ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.44/1.83 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.44/1.83 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' )
% 1.44/1.83 , 'tc_fun'( 't_a', 'tc_bool' ), X ), hAPP( 'c_COMBC'( 't_a', 'tc_fun'(
% 1.44/1.83 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'( 't_a' ) ) ), Y ) ), 'v_x' ),
% 1.44/1.83 hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ), hAPP(
% 1.44/1.83 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.44/1.83 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.44/1.83 't_a', 'tc_bool' ) ), Y ) ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.44/1.83 'c_Finite__Set_Olattice__class_OInf__fin'( Y, X ) ),
% 1.44/1.83 'c_Finite__Set_Olattice__class_OInf__fin'( Z, X ) ),
% 1.44/1.83 'c_Finite__Set_Olattice__class_OInf__fin'( hAPP( 'c_Collect'( X ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) )
% 1.44/1.83 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ),
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.83 , 'tc_bool', X ), 'c_Ex'( X ) ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X
% 1.44/1.83 , 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( X, 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ), X ), 'c_COMBS'(
% 1.44/1.83 X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.44/1.83 , 'tc_fun'( X, 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.44/1.83 ) ) ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.44/1.83 ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X )
% 1.44/1.83 , 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X,
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), X ), hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ) )
% 1.44/1.83 ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_fun'( X, X ) ), 'tc_fun'(
% 1.44/1.83 X, 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X,
% 1.44/1.83 'tc_fun'( X, X ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ), X ),
% 1.44/1.83 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ), X ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'(
% 1.44/1.83 X, 'tc_bool' ) ), X ), 'c_COMBB'( X, 'tc_bool', X ) ), 'c_fequal'( X ) )
% 1.44/1.83 ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X ) ) ) ) ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.83 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'(
% 1.44/1.83 'tc_bool', 'tc_bool', X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.83 'tc_bool', 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X,
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ) ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) )
% 1.44/1.83 , Z ) ) ) ) ) ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.44/1.83 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y,
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.44/1.83 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.44/1.83 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.44/1.83 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), 'c_in'( Y ) ), Z ) ) ) ), T ) )
% 1.44/1.83 ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( X, Y, 'tc_bool' ), T ),
% 1.44/1.83 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bex__1__1'( Z, T, Y,
% 1.44/1.83 X ) ) ), X ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( X, Y ), 'c_Finite__Set_Olinorder_OMin'( Z, T, U ) ),
% 1.44/1.83 'c_Finite__Set_Olinorder_OMin'( Z, hAPP( 'c_Collect'( U ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_bool', U ), 'c_Ex'( U ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) )
% 1.44/1.83 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) ), U ),
% 1.44/1.83 'c_COMBS'( U, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 U, 'tc_bool' ), 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), U ),
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), U ),
% 1.44/1.83 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, U ), 'tc_fun'( U,
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( U, U ), 'tc_fun'( U, 'tc_bool' ) ), U ), 'c_COMBB'( U,
% 1.44/1.83 'tc_bool', U ) ), 'c_fequal'( U ) ) ), hAPP( X, Y ) ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_bool' ), 'c_in'( U ) ), T ) )
% 1.44/1.83 ) ), U ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool'
% 1.44/1.83 ) ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 1.44/1.83 'c_OrderedGroup_Oordered__ab__semigroup__add'( X, Z, W, U ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( X, Y ), 'c_Finite__Set_Olinorder_OMax'( Z, T, U ) ),
% 1.44/1.83 'c_Finite__Set_Olinorder_OMax'( Z, hAPP( 'c_Collect'( U ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_bool', U ), 'c_Ex'( U ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) )
% 1.44/1.83 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) ), U ),
% 1.44/1.83 'c_COMBS'( U, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 U, 'tc_bool' ), 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), U ),
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), U ),
% 1.44/1.83 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, U ), 'tc_fun'( U,
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( U, U ), 'tc_fun'( U, 'tc_bool' ) ), U ), 'c_COMBB'( U,
% 1.44/1.83 'tc_bool', U ) ), 'c_fequal'( U ) ) ), hAPP( X, Y ) ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_bool' ), 'c_in'( U ) ), T ) )
% 1.44/1.83 ) ), U ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool'
% 1.44/1.83 ) ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 1.44/1.83 'c_OrderedGroup_Oordered__ab__semigroup__add'( X, Z, W, U ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Oordered__ab__semigroup__add'( X ) ), =( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.44/1.83 'c_Finite__Set_Olinorder__class_OMin'( Z, X ) ),
% 1.44/1.83 'c_Finite__Set_Olinorder__class_OMin'( hAPP( 'c_Collect'( X ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.83 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X ),
% 1.44/1.83 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), X ),
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ),
% 1.44/1.83 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, X ), 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'( X,
% 1.44/1.83 'tc_bool', X ) ), 'c_fequal'( X ) ) ), hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 X ), Y ) ) ) ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.83 'tc_bool' ), 'c_in'( X ) ), Z ) ) ) ), X ) ), =( Z,
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.44/1.83 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( X, Y ), 'c_Finite__Set_Olattice_OSup__fin'( Z, T, U ) )
% 1.44/1.83 , 'c_Finite__Set_Olattice_OSup__fin'( Z, hAPP( 'c_Collect'( U ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_bool', U ), 'c_Ex'( U ) )
% 1.44/1.83 , hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U,
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool'
% 1.44/1.83 ) ), U ), 'c_COMBS'( U, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.44/1.83 , U ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), U )
% 1.44/1.83 , 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, U ), 'tc_fun'( U,
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( U, U ), 'tc_fun'( U, 'tc_bool' ) ), U ), 'c_COMBB'( U,
% 1.44/1.83 'tc_bool', U ) ), 'c_fequal'( U ) ) ), hAPP( X, Y ) ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_bool' ), 'c_in'( U ) ), T ) )
% 1.44/1.83 ) ), U ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool'
% 1.44/1.83 ) ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 1.44/1.83 'c_Lattices_Odistrib__lattice'( W, V0, X, Z, U ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Oordered__ab__semigroup__add'( X ) ), =( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.44/1.83 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) ),
% 1.44/1.83 'c_Finite__Set_Olinorder__class_OMax'( hAPP( 'c_Collect'( X ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.83 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X ),
% 1.44/1.83 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), X ),
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ),
% 1.44/1.83 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, X ), 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'( X,
% 1.44/1.83 'tc_bool', X ) ), 'c_fequal'( X ) ) ), hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 X ), Y ) ) ) ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.83 'tc_bool' ), 'c_in'( X ) ), Z ) ) ) ), X ) ), =( Z,
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.44/1.83 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.44/1.83 'c_Finite__Set_Olattice__class_OSup__fin'( Z, X ) ),
% 1.44/1.83 'c_Finite__Set_Olattice__class_OSup__fin'( hAPP( 'c_Collect'( X ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) )
% 1.44/1.83 , hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.44/1.83 ) ), X ), 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.44/1.83 , X ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X )
% 1.44/1.83 , 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, X ), 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'( X,
% 1.44/1.83 'tc_bool', X ) ), 'c_fequal'( X ) ) ), hAPP(
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ) ) ) ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) )
% 1.44/1.83 , Z ) ) ) ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( X, Y ), 'c_Finite__Set_Olattice_OInf__fin'( Z, T, U ) )
% 1.44/1.83 , 'c_Finite__Set_Olattice_OInf__fin'( Z, hAPP( 'c_Collect'( U ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_bool', U ), 'c_Ex'( U ) )
% 1.44/1.83 , hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U,
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool'
% 1.44/1.83 ) ), U ), 'c_COMBS'( U, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.44/1.83 , U ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), U )
% 1.44/1.83 , 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, U ), 'tc_fun'( U,
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( U, U ), 'tc_fun'( U, 'tc_bool' ) ), U ), 'c_COMBB'( U,
% 1.44/1.83 'tc_bool', U ) ), 'c_fequal'( U ) ) ), hAPP( X, Y ) ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_bool' ), 'c_in'( U ) ), T ) )
% 1.44/1.83 ) ), U ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool'
% 1.44/1.83 ) ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 1.44/1.83 'c_Lattices_Odistrib__lattice'( W, V0, Z, X, U ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.44/1.83 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ), X ), 'c_implies' ), Y ) ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.83 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.44/1.83 'c_Collect'( X ), Y ) ) ), hAPP( 'c_Collect'( X ), Z ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a',
% 1.44/1.83 'tc_fun'( 't_b', 'tc_bool' ) ) ), 'v_x' ), 'v_y' ), hAPP( hAPP( 'c_in'(
% 1.44/1.83 'tc_prod'( 't_a', 't_b' ) ), hAPP( hAPP( 'c_Pair'( 't_a', 't_b' ), 'v_x'
% 1.44/1.83 ), 'v_y' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( 't_a'
% 1.44/1.83 , 't_b' ), 'tc_bool' ) ) ) ) ],
% 1.44/1.83 [ =( 'c_Relation_ODomain'( 'v_r', 't_a', 't_b' ), hAPP( 'c_Collect'(
% 1.44/1.83 't_a' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_bool',
% 1.44/1.83 't_a' ), 'c_Ex'( 't_b' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'(
% 1.44/1.83 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 't_a', 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), 't_a' ),
% 1.44/1.83 'c_COMBC'( 't_b', 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_prod'( 't_a',
% 1.44/1.83 't_b' ) ), 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' )
% 1.44/1.83 , 'tc_bool' ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a'
% 1.44/1.83 , 't_b' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ),
% 1.44/1.83 'tc_bool' ), 't_b' ), 'c_in'( 'tc_prod'( 't_a', 't_b' ) ) ) ), 'c_Pair'(
% 1.44/1.83 't_a', 't_b' ) ) ) ), 'v_r' ) ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.44/1.83 't_a', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' )
% 1.44/1.83 , 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a'
% 1.44/1.83 ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBC'(
% 1.44/1.83 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a', 't_a' ) ),
% 1.44/1.83 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool'
% 1.44/1.83 ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), 'c_Pair'( 't_a', 't_a'
% 1.44/1.83 ) ) ) ), X ) ), 'c_fequal'( 't_a' ) ), 'v_x' ), 'v_y' ), hAPP( hAPP(
% 1.44/1.83 'c_in'( 'tc_prod'( 't_a', 't_a' ) ), hAPP( hAPP( 'c_Pair'( 't_a', 't_a' )
% 1.44/1.83 , 'v_x' ), 'v_y' ) ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'( 't_a'
% 1.44/1.83 , 't_a' ), 'tc_bool' ) ), X ), 'c_Relation_OId'( 't_a' ) ) ) ) ],
% 1.44/1.83 [ =( 'c_Relation_ODomain'( hAPP( 'c_Collect'( 'tc_prod'( X, Y ) ),
% 1.44/1.83 'c_split'( Z, X, Y, 'tc_bool' ) ), X, Y ), hAPP( 'c_Collect'( X ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) )
% 1.44/1.83 , Z ) ) ) ],
% 1.44/1.83 [ =( 'c_Relation_Oconverse'( 'v_r', 't_a', 't_b' ), hAPP( 'c_Collect'(
% 1.44/1.83 'tc_prod'( 't_b', 't_a' ) ), 'c_split'( hAPP( hAPP( 'c_COMBC'( 't_b',
% 1.44/1.83 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_fun'( 't_a',
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.44/1.83 't_b' ), 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool'
% 1.44/1.83 ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'(
% 1.44/1.83 't_a', 't_b' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a',
% 1.44/1.83 't_b' ), 'tc_bool' ), 'tc_bool' ) ), 't_b' ), hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 't_a', 't_b' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool'
% 1.44/1.83 ), 'tc_bool' ), 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_b' ) ) ) ), hAPP(
% 1.44/1.83 'c_COMBC'( 't_a', 't_b', 'tc_prod'( 't_a', 't_b' ) ), 'c_Pair'( 't_a',
% 1.44/1.83 't_b' ) ) ) ) ), 'v_r' ), 't_b', 't_a', 'tc_bool' ) ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBS'( Y, 'tc_fun'( Z,
% 1.44/1.83 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, X ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( Z, 'tc_bool' ), X ), Y ), 'c_Finite__Set_Osetsum'( Z, X ) ), T
% 1.44/1.83 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z,
% 1.44/1.83 'tc_bool' ), Y ), 'c_Collect'( Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z
% 1.44/1.83 , 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), Y ), hAPP( 'c_COMBS'( Z,
% 1.44/1.83 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.83 'tc_bool', 'tc_bool' ), Z ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( Z,
% 1.44/1.83 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), 'c_in'( Z ) ), U ) ) ) ), W ) ) )
% 1.44/1.83 ), V0 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP(
% 1.44/1.83 'c_COMBS'( Z, 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( Y, X ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), X ), Z ),
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, X ) ), hAPP( 'c_COMBC'( Y, Z, X ), T ) ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 1.44/1.83 , Z ), 'c_Collect'( Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool'
% 1.44/1.83 ), 'tc_fun'( Y, 'tc_bool' ), Z ), hAPP( 'c_COMBS'( Y, 'tc_bool',
% 1.44/1.83 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ), Y ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Y,
% 1.44/1.83 'tc_bool' ), 'tc_bool' ), 'c_in'( Y ) ), V0 ) ) ) ), hAPP( 'c_COMBC'( Y,
% 1.44/1.83 Z, 'tc_bool' ), W ) ) ) ) ), U ) ), ~( 'c_Finite__Set_Ofinite'( U, Z ) )
% 1.44/1.83 , ~( 'c_Finite__Set_Ofinite'( V0, Y ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_Relation_OImage'( 'v_r', 't_a', 't_b' ), 'v_s' ), hAPP(
% 1.44/1.83 'c_Collect'( 't_b' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' )
% 1.44/1.83 , 'tc_bool', 't_b' ), 'c_Ex'( 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ), 't_b' ), hAPP(
% 1.44/1.83 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ), 'c_and' ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.44/1.83 't_a' ) ), 'v_s' ) ) ) ), hAPP( hAPP( 'c_COMBC'( 't_b', 'tc_fun'(
% 1.44/1.83 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 't_a', 't_b' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_b' ),
% 1.44/1.83 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a',
% 1.44/1.83 't_b' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' )
% 1.44/1.83 , 'tc_bool' ), 'tc_bool' ) ), 't_b' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a'
% 1.44/1.83 , 't_b' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ),
% 1.44/1.83 'tc_bool' ), 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_b' ) ) ) ), hAPP(
% 1.44/1.83 'c_COMBC'( 't_a', 't_b', 'tc_prod'( 't_a', 't_b' ) ), 'c_Pair'( 't_a',
% 1.44/1.83 't_b' ) ) ) ) ), 'v_r' ) ) ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( hAPP(
% 1.44/1.83 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.44/1.83 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.44/1.83 't_a', 'tc_fun'( 't_b', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'( 't_b'
% 1.44/1.83 , 'tc_bool' ) ), X ), hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a'
% 1.44/1.83 , 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' )
% 1.44/1.83 , 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b'
% 1.44/1.83 ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), 't_a' ), 'c_COMBC'(
% 1.44/1.83 't_b', 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_prod'( 't_a', 't_b' ) ),
% 1.44/1.83 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool'
% 1.44/1.83 ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_b' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 't_b' ), 'c_in'( 'tc_prod'( 't_a', 't_b' ) ) ) ), 'c_Pair'( 't_a', 't_b'
% 1.44/1.83 ) ) ) ) ), Y ) ), 'v_x' ), 'v_y' ), hAPP( hAPP( 'c_in'( 'tc_prod'( 't_a'
% 1.44/1.83 , 't_b' ) ), hAPP( hAPP( 'c_Pair'( 't_a', 't_b' ), 'v_x' ), 'v_y' ) ),
% 1.44/1.83 hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.44/1.83 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.44/1.83 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ) ), Y ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( hAPP(
% 1.44/1.83 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.44/1.83 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.44/1.83 't_a', 'tc_fun'( 't_b', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'( 't_b'
% 1.44/1.83 , 'tc_bool' ) ), X ), hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a'
% 1.44/1.83 , 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' )
% 1.44/1.83 , 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b'
% 1.44/1.83 ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), 't_a' ), 'c_COMBC'(
% 1.44/1.83 't_b', 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_prod'( 't_a', 't_b' ) ),
% 1.44/1.83 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool'
% 1.44/1.83 ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_b' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 't_b' ), 'c_in'( 'tc_prod'( 't_a', 't_b' ) ) ) ), 'c_Pair'( 't_a', 't_b'
% 1.44/1.83 ) ) ) ) ), Y ) ), 'v_x' ), 'v_y' ), hAPP( hAPP( 'c_in'( 'tc_prod'( 't_a'
% 1.44/1.83 , 't_b' ) ), hAPP( hAPP( 'c_Pair'( 't_a', 't_b' ), 'v_x' ), 'v_y' ) ),
% 1.44/1.83 hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.44/1.83 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.44/1.83 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ) ), Y ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.44/1.83 X, 'tc_bool' ) ), Y ), Z ), hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.44/1.83 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.83 'tc_bool', 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X,
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Z ) )
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.44/1.83 'tc_bool' ), 'tc_bool', X ), 'c_All'( Y ) ), Z ) ), hAPP(
% 1.44/1.83 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.44/1.83 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.44/1.83 X, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ), Y ), 'c_Collect'( X ) ), hAPP( 'c_COMBC'( X, Y
% 1.44/1.83 , 'tc_bool' ), Z ) ) ) ) ],
% 1.44/1.83 [ =( 'c_Relation_ORange'( hAPP( 'c_Collect'( 'tc_prod'( X, Y ) ),
% 1.44/1.83 'c_split'( Z, X, Y, 'tc_bool' ) ), X, Y ), hAPP( 'c_Collect'( Y ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', Y ), 'c_Ex'( X ) )
% 1.44/1.83 , hAPP( 'c_COMBC'( X, Y, 'tc_bool' ), Z ) ) ) ) ],
% 1.44/1.83 [ =( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), hAPP( 'c_Collect'(
% 1.44/1.83 'tc_prod'( Z, U ) ), 'c_split'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U,
% 1.44/1.83 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ), Z ), hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', U ), 'c_Ex'( T ) ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBC'( Z, 'tc_fun'( U, 'tc_fun'( T, 'tc_bool' ) ),
% 1.44/1.83 'tc_fun'( U, 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( U, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( U, 'tc_fun'( T,
% 1.44/1.83 'tc_bool' ) ) ), Z ), 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T,
% 1.44/1.83 'tc_bool' ), U ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_fun'(
% 1.44/1.83 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T
% 1.44/1.83 , 'tc_bool' ) ), Z ), 'c_COMBS'( T, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), Z ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ), T ), 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( Z, 'tc_fun'(
% 1.44/1.83 'tc_prod'( Z, T ), 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool'
% 1.44/1.83 ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ),
% 1.44/1.83 'tc_fun'( T, 'tc_bool' ) ), Z ), 'c_COMBC'( T, 'tc_fun'( 'tc_prod'( Z, T
% 1.44/1.83 ), 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T,
% 1.44/1.83 'tc_prod'( Z, T ) ), 'tc_fun'( T, 'tc_fun'( 'tc_fun'( 'tc_prod'( Z, T ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ) ), Z ), hAPP( 'c_COMBB'( 'tc_prod'( Z, T ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ), 'tc_bool' ), T ),
% 1.44/1.83 'c_in'( 'tc_prod'( Z, T ) ) ) ), 'c_Pair'( Z, T ) ) ) ), X ) ) ) ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ),
% 1.44/1.83 'tc_fun'( T, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_fun'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), U )
% 1.44/1.83 , 'c_COMBC'( T, 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_prod'( T, U ) ), 'tc_fun'( T,
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ), 'tc_bool' ) ), U ),
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_prod'( T, U ), 'tc_fun'( 'tc_fun'( 'tc_prod'( T, U )
% 1.44/1.83 , 'tc_bool' ), 'tc_bool' ), T ), 'c_in'( 'tc_prod'( T, U ) ) ) ), hAPP(
% 1.44/1.83 'c_COMBC'( T, U, 'tc_prod'( T, U ) ), 'c_Pair'( T, U ) ) ) ) ), Y ) ) ),
% 1.44/1.83 Z, U, 'tc_bool' ) ) ) ],
% 1.44/1.83 [ =( 'c_Relation_Ototal__on'( 'v_A', 'v_r', 't_a' ), hAPP( 'c_All'(
% 1.44/1.83 't_a' ), hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.44/1.83 'c_implies' ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' )
% 1.44/1.83 , 'tc_bool' ), 'c_in'( 't_a' ) ), 'v_A' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'( 't_a' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a',
% 1.44/1.83 'tc_bool' ), 't_a' ), hAPP( 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a'
% 1.44/1.83 ), 'c_implies' ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a',
% 1.44/1.83 'tc_bool' ), 'tc_bool' ), 'c_in'( 't_a' ) ), 'v_A' ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBS'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a',
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.44/1.83 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'( 't_a', 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.44/1.83 'c_implies' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 't_a', 'tc_bool' ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_bool', 't_a' ), 'c_Not' ) ), 'c_fequal'( 't_a' ) ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBS'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a',
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.44/1.83 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'( 't_a', 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ), 'c_or' )
% 1.44/1.83 ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ),
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool'
% 1.44/1.83 ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ),
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBC'( 't_a',
% 1.44/1.83 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a', 't_a' ) ), 'tc_fun'(
% 1.44/1.83 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ),
% 1.44/1.83 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), 'c_Pair'( 't_a', 't_a'
% 1.44/1.83 ) ) ) ), 'v_r' ) ) ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'(
% 1.44/1.83 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ),
% 1.44/1.83 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a',
% 1.44/1.83 't_a' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' )
% 1.44/1.83 , 'tc_bool' ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a'
% 1.44/1.83 , 't_a' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ),
% 1.44/1.83 'tc_bool' ), 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), hAPP(
% 1.44/1.83 'c_COMBC'( 't_a', 't_a', 'tc_prod'( 't_a', 't_a' ) ), 'c_Pair'( 't_a',
% 1.44/1.83 't_a' ) ) ) ) ), 'v_r' ) ) ) ) ) ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.83 ), Y ), Z ), hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool'
% 1.44/1.83 , 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_bool', 'tc_bool', X ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'(
% 1.44/1.83 X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Z ) ) ) ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_Relation_OImage'( X, Y, Z ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.44/1.83 Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) )
% 1.44/1.83 , hAPP( 'c_Collect'( Z ), hAPP( hAPP( 'c_COMBC'( Z, 'tc_fun'( 'tc_prod'(
% 1.44/1.83 Y, Z ), 'tc_bool' ), 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_prod'( Y, Z
% 1.44/1.83 ), 'tc_fun'( 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ), 'tc_bool' ), Z )
% 1.44/1.83 , 'c_in'( 'tc_prod'( Y, Z ) ) ), hAPP( 'c_Pair'( Y, Z ), T ) ) ), X ) ) )
% 1.44/1.83 ],
% 1.44/1.83 [ =( 'c_Hilbert__Choice_OEps'( 'c_split'( hAPP( hAPP( 'c_COMBC'( X,
% 1.44/1.83 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y,
% 1.44/1.83 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ), 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_bool', Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_fequal'( X ), Z ) ) ) ), hAPP(
% 1.44/1.83 'c_fequal'( Y ), T ) ), X, Y, 'tc_bool' ), 'tc_prod'( X, Y ) ), hAPP(
% 1.44/1.83 hAPP( 'c_Pair'( X, Y ), Z ), T ) ) ],
% 1.44/1.83 [ =( 'c_The'( 'c_split'( hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y,
% 1.44/1.83 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y,
% 1.44/1.83 'tc_bool' ) ), X ), 'c_COMBB'( 'tc_bool', 'tc_bool', Y ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ),
% 1.44/1.83 hAPP( 'c_fequal'( X ), Z ) ) ) ), hAPP( 'c_fequal'( Y ), T ) ), X, Y,
% 1.44/1.83 'tc_bool' ), 'tc_prod'( X, Y ) ), hAPP( hAPP( 'c_Pair'( X, Y ), Z ), T )
% 1.44/1.83 ) ],
% 1.44/1.83 [ =( 'c_Transitive__Closure_Otrancl'( hAPP( hAPP( 'c_Set_Oinsert'(
% 1.44/1.83 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), Y ), Z ) ), T ), X ),
% 1.44/1.83 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( X, X ), 'tc_bool' ) ), 'c_Transitive__Closure_Otrancl'( T, X )
% 1.44/1.83 ), hAPP( 'c_Collect'( 'tc_prod'( X, X ) ), 'c_split'( hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( X
% 1.44/1.83 , 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_bool', X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'(
% 1.44/1.83 'tc_prod'( X, X ), 'tc_bool' ), 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_prod'( X, X ), 'tc_fun'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ),
% 1.44/1.83 'tc_bool' ), X ), 'c_in'( 'tc_prod'( X, X ) ) ), hAPP( hAPP( 'c_COMBC'( X
% 1.44/1.83 , X, 'tc_prod'( X, X ) ), 'c_Pair'( X, X ) ), Y ) ) ),
% 1.44/1.83 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 X, 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ), 'tc_bool' ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_prod'( X, X ), 'tc_fun'( 'tc_fun'( 'tc_prod'( X, X ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ), X ), 'c_in'( 'tc_prod'( X, X ) ) ), hAPP(
% 1.44/1.83 'c_Pair'( X, X ), Z ) ) ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ),
% 1.44/1.83 X, X, 'tc_bool' ) ) ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.44/1.83 'c_Finite__Set_Olattice__class_OInf__fin'( Z, X ) ),
% 1.44/1.83 'c_Finite__Set_Olattice__class_OInf__fin'( hAPP( 'c_Collect'( X ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) )
% 1.44/1.83 , hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.44/1.83 ) ), X ), 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.44/1.83 , X ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X )
% 1.44/1.83 , 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, X ), 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'( X,
% 1.44/1.83 'tc_bool', X ) ), 'c_fequal'( X ) ) ), hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ) ) ) ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) )
% 1.44/1.83 , Z ) ) ) ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.44/1.83 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 X, Y, 'tc_bool' ), Z ), T ) ), X ), ~( hBOOL( hAPP( U, T ) ) ), ~(
% 1.44/1.83 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.44/1.83 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ), U ) ) ), Z ) ) ), X ) )
% 1.44/1.83 , ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( Y ), U ), Y ) ) ],
% 1.44/1.83 [ =( 'c_Relation_Oantisym'( 'v_r', 't_a' ), hAPP( 'c_All'( 't_a' ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ),
% 1.44/1.83 'c_All'( 't_a' ) ), hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_fun'( 't_a',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'(
% 1.44/1.83 't_a', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' )
% 1.44/1.83 , hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.44/1.83 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a'
% 1.44/1.83 , 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' )
% 1.44/1.83 , 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a'
% 1.44/1.83 ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBC'(
% 1.44/1.83 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a', 't_a' ) ),
% 1.44/1.83 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool'
% 1.44/1.83 ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), 'c_Pair'( 't_a', 't_a'
% 1.44/1.83 ) ) ) ), 'v_r' ) ) ) ), hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_fun'( 't_a',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'(
% 1.44/1.83 't_a', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' )
% 1.44/1.83 , hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.44/1.83 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a'
% 1.44/1.83 , 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' )
% 1.44/1.83 , 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a'
% 1.44/1.83 ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBC'(
% 1.44/1.83 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a', 't_a' ) ),
% 1.44/1.83 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool'
% 1.44/1.83 ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), hAPP( 'c_COMBC'( 't_a'
% 1.44/1.83 , 't_a', 'tc_prod'( 't_a', 't_a' ) ), 'c_Pair'( 't_a', 't_a' ) ) ) ) ),
% 1.44/1.83 'v_r' ) ) ) ), 'c_fequal'( 't_a' ) ) ) ) ) ) ],
% 1.44/1.83 [ =( 'c_Relation_Osym'( 'v_r', 't_a' ), hAPP( 'c_All'( 't_a' ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ),
% 1.44/1.83 'c_All'( 't_a' ) ), hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_fun'( 't_a',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'(
% 1.44/1.83 't_a', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' )
% 1.44/1.83 , hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.44/1.83 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a'
% 1.44/1.83 , 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' )
% 1.44/1.83 , 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a'
% 1.44/1.83 ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBC'(
% 1.44/1.83 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a', 't_a' ) ),
% 1.44/1.83 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool'
% 1.44/1.83 ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), 'c_Pair'( 't_a', 't_a'
% 1.44/1.83 ) ) ) ), 'v_r' ) ) ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'(
% 1.44/1.83 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ),
% 1.44/1.83 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a',
% 1.44/1.83 't_a' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' )
% 1.44/1.83 , 'tc_bool' ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a'
% 1.44/1.83 , 't_a' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ),
% 1.44/1.83 'tc_bool' ), 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), hAPP(
% 1.44/1.83 'c_COMBC'( 't_a', 't_a', 'tc_prod'( 't_a', 't_a' ) ), 'c_Pair'( 't_a',
% 1.44/1.83 't_a' ) ) ) ) ), 'v_r' ) ) ) ) ) ],
% 1.44/1.83 [ =( hAPP( X, Y ), hAPP( Z, hAPP( 'c_Collect'( T ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T )
% 1.44/1.83 , hAPP( 'c_COMBS'( T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) )
% 1.44/1.83 , Y ) ) ) ), U ) ) ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 1.44/1.83 , Z, U, W, V0, V1, V2, V3, T ) ) ],
% 1.44/1.83 [ =( 'c_Relation_Otrans'( 'v_r', 't_a' ), hAPP( 'c_All'( 't_a' ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ),
% 1.44/1.83 'c_All'( 't_a' ) ), hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_fun'( 't_a',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'(
% 1.44/1.83 't_a', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' )
% 1.44/1.83 , hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.44/1.83 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a'
% 1.44/1.83 , 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' )
% 1.44/1.83 , 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a'
% 1.44/1.83 ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBC'(
% 1.44/1.83 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a', 't_a' ) ),
% 1.44/1.83 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool'
% 1.44/1.83 ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), 'c_Pair'( 't_a', 't_a'
% 1.44/1.83 ) ) ) ), 'v_r' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.44/1.83 't_a', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_bool' ), 't_a' ), hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'(
% 1.44/1.83 't_a' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBC'(
% 1.44/1.83 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.44/1.83 't_a' ), 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.44/1.83 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.83 'tc_bool', 'tc_bool' ), 't_a' ), 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a'
% 1.44/1.83 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a',
% 1.44/1.83 'tc_bool' ) ), 't_a' ), 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a',
% 1.44/1.83 't_a' ), 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 't_a', 'tc_prod'( 't_a', 't_a' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), 't_a' ), hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ), 't_a' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 't_a', 't_a' ) ) ) ), 'c_Pair'( 't_a', 't_a' ) ) ) ), 'v_r' ) ) ) ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ),
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool'
% 1.44/1.83 ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ),
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBC'( 't_a',
% 1.44/1.83 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a', 't_a' ) ), 'tc_fun'(
% 1.44/1.83 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ),
% 1.44/1.83 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), 'c_Pair'( 't_a', 't_a'
% 1.44/1.83 ) ) ) ), 'v_r' ) ) ) ) ) ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_Collect'( 'tc_prod'( X, Y ) ), 'c_split'( hAPP( hAPP(
% 1.44/1.83 'c_COMBS'( X, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y
% 1.44/1.83 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ), 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_bool', Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ), X ), 'c_and' ), Z ) ) ), T ), X, Y, 'tc_bool' ) ),
% 1.44/1.83 'c_Product__Type_OSigma'( hAPP( 'c_Collect'( X ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ),
% 1.44/1.83 'c_Collect'( Y ) ), T ), X, Y ) ) ],
% 1.44/1.83 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 X, Y, 'tc_bool' ), Z ), T ) ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T
% 1.44/1.83 ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) )
% 1.44/1.83 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool'
% 1.44/1.83 ), X ), hAPP( 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.44/1.83 Y ) ), U ) ) ) ), Z ) ) ), X ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ =( hAPP( X, Y ), hAPP( Z, hAPP( 'c_Collect'( T ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T )
% 1.44/1.83 , hAPP( 'c_COMBS'( T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) )
% 1.44/1.83 , Y ) ) ) ), hAPP( 'c_COMBC'( T, T, 'tc_bool' ), U ) ) ) ) ) ), ~(
% 1.44/1.83 'c_Complete__Lattice_Ocomplete__lattice'( Z, X, U, W, V0, V1, V2, V3, T )
% 1.44/1.83 ) ],
% 1.44/1.83 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.44/1.83 'tc_bool' ), 'tc_bool', X ), 'c_All'( Y ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_COMBS'(
% 1.44/1.83 Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.83 'tc_bool', 'tc_bool' ), Y ), 'c_implies' ), hAPP( hAPP( 'c_COMBC'( Y,
% 1.44/1.83 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), 'c_in'( Y ) ), Z ) ) ) ), T ) ) )
% 1.44/1.83 , hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, Y,
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool'
% 1.44/1.83 ), 'tc_fun'( X, 'tc_bool' ), Y ), 'c_Collect'( X ) ), hAPP( 'c_COMBC'( X
% 1.44/1.83 , Y, 'tc_bool' ), T ) ) ) ) ],
% 1.44/1.83 [ =( 'c_Relation_OId'( X ), hAPP( 'c_Collect'( 'tc_prod'( X, X ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', 'tc_prod'( X, X ) )
% 1.44/1.83 , 'c_Ex'( X ) ), hAPP( hAPP( 'c_COMBC'( 'tc_prod'( X, X ), 'tc_fun'( X,
% 1.44/1.83 'tc_prod'( X, X ) ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ), 'tc_fun'( 'tc_fun'( X,
% 1.44/1.83 'tc_prod'( X, X ) ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_prod'( X, X ) ),
% 1.44/1.83 'c_COMBB'( 'tc_prod'( X, X ), 'tc_bool', X ) ), 'c_fequal'( 'tc_prod'( X
% 1.44/1.83 , X ) ) ) ), hAPP( hAPP( 'c_COMBS'( X, X, 'tc_prod'( X, X ) ), 'c_Pair'(
% 1.44/1.83 X, X ) ), 'c_COMBI'( X ) ) ) ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.44/1.83 't_b', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 't_a', 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' )
% 1.44/1.83 , 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b'
% 1.44/1.83 ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), 't_a' ), 'c_COMBC'(
% 1.44/1.83 't_b', 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_prod'( 't_a', 't_b' ) ),
% 1.44/1.83 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool'
% 1.44/1.83 ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_b' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 't_b' ), 'c_in'( 'tc_prod'( 't_a', 't_b' ) ) ) ), 'c_Pair'( 't_a', 't_b'
% 1.44/1.83 ) ) ) ), X ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a'
% 1.44/1.83 , 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' )
% 1.44/1.83 , 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b'
% 1.44/1.83 ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), 't_a' ), 'c_COMBC'(
% 1.44/1.83 't_b', 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_prod'( 't_a', 't_b' ) ),
% 1.44/1.83 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool'
% 1.44/1.83 ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_b' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 't_b' ), 'c_in'( 'tc_prod'( 't_a', 't_b' ) ) ) ), 'c_Pair'( 't_a', 't_b'
% 1.44/1.83 ) ) ) ), Y ) ), 'v_x' ), 'v_y' ), hAPP( hAPP( 'c_in'( 'tc_prod'( 't_a',
% 1.44/1.83 't_b' ) ), hAPP( hAPP( 'c_Pair'( 't_a', 't_b' ), 'v_x' ), 'v_y' ) ), hAPP(
% 1.44/1.83 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 't_a', 't_b' ), 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.44/1.83 [ =( 'c_Relation_Oconverse'( X, Y, Z ), hAPP( 'c_Collect'( 'tc_prod'( Z
% 1.44/1.83 , Y ) ), 'c_split'( hAPP( hAPP( 'c_COMBC'( Z, 'tc_fun'( 'tc_prod'( Y, Z )
% 1.44/1.83 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( Y, 'tc_fun'( 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ),
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ),
% 1.44/1.83 'tc_fun'( Y, 'tc_bool' ) ), Z ), 'c_COMBC'( Y, 'tc_fun'( 'tc_prod'( Y, Z
% 1.44/1.83 ), 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.44/1.83 'tc_prod'( Y, Z ) ), 'tc_fun'( Y, 'tc_fun'( 'tc_fun'( 'tc_prod'( Y, Z ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ) ), Z ), hAPP( 'c_COMBB'( 'tc_prod'( Y, Z ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ), 'tc_bool' ), Y ),
% 1.44/1.83 'c_in'( 'tc_prod'( Y, Z ) ) ) ), hAPP( 'c_COMBC'( Y, Z, 'tc_prod'( Y, Z )
% 1.44/1.83 ), 'c_Pair'( Y, Z ) ) ) ) ), X ), Z, Y, 'tc_bool' ) ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_Relation_OImage'( hAPP( 'c_Collect'( 'tc_prod'( X, Y ) ),
% 1.44/1.83 'c_split'( Z, X, Y, 'tc_bool' ) ), X, Y ), T ), hAPP( 'c_Collect'( Y ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', Y ), 'c_Ex'(
% 1.44/1.83 X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ), Y ), hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.44/1.83 X ) ), T ) ) ) ), hAPP( 'c_COMBC'( X, Y, 'tc_bool' ), Z ) ) ) ) ) ],
% 1.44/1.83 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( X, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.44/1.83 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), X ),
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ),
% 1.44/1.83 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y, X ), 'tc_fun'( Y,
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( Y, X ), 'tc_fun'( Y, 'tc_bool' ) ), X ), 'c_COMBB'( X,
% 1.44/1.83 'tc_bool', Y ) ), 'c_fequal'( X ) ) ), Z ) ) ) ), T ) ) ), X ), ~(
% 1.44/1.83 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( Y ), T ), Y ) ) ],
% 1.44/1.83 [ =( 'c_Arrow__Order__Mirabelle_Obelow'( 'v_L', 'v_a', 'v_b' ), hAPP(
% 1.44/1.83 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( 'c_Collect'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_split'( hAPP( hAPP( 'c_COMBS'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_and' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), 'v_L' ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_and' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'c_fequal'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_a' ) )
% 1.44/1.83 ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'c_fequal'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_a' ) )
% 1.44/1.83 ) ), 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_Set_Oinsert'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'v_a' ), 'v_b' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ) ) ) ), hAPP( 'c_Collect'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_bool', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Ex'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBC'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_COMBB'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_fequal'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_a' ) ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBS'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_and' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_b' ) ) ), 'v_L' ) ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool', 'tc_Arrow__Order__Mirabelle_Oalt'
% 1.44/1.83 ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'c_fequal'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_a' ) ) ) ) ) ) ) ), hAPP(
% 1.44/1.83 'c_Collect'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_bool', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_Ex'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_COMBB'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_fequal'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_a' ) ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBS'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_and' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ), hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_b' ) ) ), 'v_L' ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_bool', 'tc_bool', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_Not' ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'c_fequal'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_a' ) ) ) ) ) ) ) ) ],
% 1.44/1.83 [ =( 'c_Arrow__Order__Mirabelle_Oabove'( 'v_L', 'v_a', 'v_b' ), hAPP(
% 1.44/1.83 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( 'c_Collect'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_split'( hAPP( hAPP( 'c_COMBS'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_and' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), 'v_L' ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_and' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'c_fequal'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_b' ) )
% 1.44/1.83 ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'c_fequal'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_b' ) )
% 1.44/1.83 ) ), 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_Set_Oinsert'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'v_a' ), 'v_b' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ) ) ) ), hAPP( 'c_Collect'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_bool', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Ex'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBC'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_COMBB'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_fequal'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_b' ) ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBS'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_and' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_a' ) ) ), 'v_L' ) ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool', 'tc_Arrow__Order__Mirabelle_Oalt'
% 1.44/1.83 ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'c_fequal'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_b' ) ) ) ) ) ) ) ), hAPP(
% 1.44/1.83 'c_Collect'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_bool', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_Ex'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_COMBB'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_fequal'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_b' ) ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBS'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_and' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ), hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_a' ) ) ), 'v_L' ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_bool', 'tc_bool', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_Not' ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'c_fequal'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_b' ) ) ) ) ) ) ) ) ],
% 1.44/1.83 [ =( 'c_Arrow__Order__Mirabelle_Omkbot'( 'v_L', 'v_b' ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( 'c_Collect'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_split'( hAPP( hAPP( 'c_COMBS'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_and' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), 'v_L' ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_and' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'c_fequal'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_b' ) )
% 1.44/1.83 ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'c_fequal'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_b' ) )
% 1.44/1.83 ) ), 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), hAPP( 'c_Collect'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_bool', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_Ex'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_COMBB'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_fequal'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_b' ) ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_bool', 'tc_bool', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_Not' ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'c_fequal'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_b' ) ) ) ) ) ) ) ],
% 1.44/1.83 [ =( 'c_Arrow__Order__Mirabelle_Omktop'( 'v_L', 'v_b' ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( 'c_Collect'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_split'( hAPP( hAPP( 'c_COMBS'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_and' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), 'v_L' ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_and' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'c_fequal'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_b' ) )
% 1.44/1.83 ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'c_fequal'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_b' ) )
% 1.44/1.83 ) ), 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), hAPP( 'c_Collect'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_bool', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_Ex'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_COMBB'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_fequal'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_b' ) ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_bool', 'tc_bool', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_Not' ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'c_fequal'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_b' ) ) ) ) ) ) ) ],
% 1.44/1.83 [ =( 'c_Arrow__Order__Mirabelle_Omkbot'( X, Y ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( 'c_Collect'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_split'( hAPP( hAPP( 'c_COMBS'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_and' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), X ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_and' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'c_fequal'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Y ) ) ) )
% 1.44/1.83 ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'c_fequal'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Y ) ) ) )
% 1.44/1.83 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ) ) ), hAPP( 'c_Collect'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_bool', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Ex'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBC'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_COMBB'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_fequal'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), Y ) ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_bool', 'tc_bool', 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Not' ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'c_fequal'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Y ) ) ) ) ) ) ) ],
% 1.44/1.83 [ =( 'c_Arrow__Order__Mirabelle_Omktop'( X, Y ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( 'c_Collect'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_split'( hAPP( hAPP( 'c_COMBS'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_and' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), X ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_and' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'c_fequal'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Y ) ) ) )
% 1.44/1.83 ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'c_fequal'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Y ) ) ) )
% 1.44/1.83 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ) ) ), hAPP( 'c_Collect'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_bool', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Ex'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBC'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_COMBB'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_fequal'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Y ) ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_bool', 'tc_bool', 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Not' ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'c_fequal'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Y ) ) ) ) ) ) ) ],
% 1.44/1.83 [ =( 'c_Arrow__Order__Mirabelle_Obelow'( X, Y, Z ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( 'c_Collect'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_split'( hAPP( hAPP( 'c_COMBS'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_and' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), X ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_and' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'c_fequal'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Y ) ) ) )
% 1.44/1.83 ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'c_fequal'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Y ) ) ) )
% 1.44/1.83 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , hAPP( hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), Y ), Z ) ),
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ) ) ) ), hAPP( 'c_Collect'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_bool', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Ex'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBC'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_COMBB'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_fequal'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Y ) ) ) ) ), hAPP( hAPP( 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_and' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), X ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_bool', 'tc_bool', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_Not' ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'c_fequal'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Y ) ) ) ) ) ) ) ), hAPP(
% 1.44/1.83 'c_Collect'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_bool', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_Ex'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_COMBB'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_fequal'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), Y ) ) ) ) ), hAPP( hAPP( 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_and' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ), hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), Z ) ) ), X ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_bool', 'tc_bool', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_Not' ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'c_fequal'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Y ) ) ) ) ) ) ) ) ],
% 1.44/1.83 [ =( 'c_Arrow__Order__Mirabelle_Oabove'( X, Y, Z ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( 'c_Collect'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_split'( hAPP( hAPP( 'c_COMBS'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_and' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), X ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_and' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'c_fequal'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ) )
% 1.44/1.83 ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'c_fequal'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ) )
% 1.44/1.83 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , hAPP( hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), Y ), Z ) ),
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ) ) ) ), hAPP( 'c_Collect'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_bool', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Ex'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBC'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_COMBB'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_fequal'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ) ) ), hAPP( hAPP( 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_and' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Y ) ) ), X ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_bool', 'tc_bool', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_Not' ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'c_fequal'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ) ) ) ) ) ), hAPP(
% 1.44/1.83 'c_Collect'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_bool', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_Ex'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_COMBB'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_fequal'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), Z ) ) ) ) ), hAPP( hAPP( 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_and' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ), hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), Y ) ) ), X ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_bool', 'tc_bool', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'c_Not' ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'c_fequal'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ) ) ) ) ) ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_Pair'( X, Y ), Z ), T ), hAPP( hAPP( 'c_Pair'( X
% 1.44/1.83 , Y ), U ), W ) ) ), =( Z, U ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_Pair'( X, Y ), Z ), T ), hAPP( hAPP( 'c_Pair'( X
% 1.44/1.83 , Y ), U ), W ) ) ), =( T, W ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.44/1.83 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ =( hAPP( 'c_Collect'( X ), hAPP( 'c_fequal'( X ), Y ) ), hAPP( hAPP(
% 1.44/1.83 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ) ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.83 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.44/1.83 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ), Y ) ],
% 1.44/1.83 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.44/1.83 'c_fequal'( X ) ), Y ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.44/1.83 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.44/1.83 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.44/1.83 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_fequal'( X ), Y ) ) ), Z ) ),
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.44/1.83 Z, Y ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.83 X, 'tc_bool' ) ), Y ), Z ), hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.44/1.83 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.83 'tc_bool', 'tc_bool' ), X ), 'c_or' ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'(
% 1.44/1.83 X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Z ) )
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.83 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.83 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Y ) ) ],
% 1.44/1.83 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.44/1.83 'c_Collect'( X ), Y ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( 'c_Collect'( X ), Z )
% 1.44/1.83 ), hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.44/1.83 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ), X ), 'c_implies' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_bool', X ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.44/1.83 'c_fequal'( X ) ), Y ) ) ) ), Z ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( 'c_Collect'( X )
% 1.44/1.83 , hAPP( hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_or' ), hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( X, X, 'tc_bool' ), 'c_fequal'( X ) ), Y ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Z ) )
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.44/1.83 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.44/1.83 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.44/1.83 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.44/1.83 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.44/1.83 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_fequal'( X ), Y ) ) ), Z ) ), hAPP(
% 1.44/1.83 hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.44/1.83 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 1.44/1.83 ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.44/1.83 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Z, U ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.44/1.83 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Z, U ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.44/1.83 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Y, T ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.44/1.83 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Y, T ) ],
% 1.44/1.83 [ ~( =( hAPP( 'c_Collect'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 1.44/1.83 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.44/1.83 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 1.44/1.83 hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z ) ) ) )
% 1.44/1.83 ],
% 1.44/1.83 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.83 ), Y ) ) ],
% 1.44/1.83 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.44/1.83 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.44/1.83 ) ), Y ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.83 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'(
% 1.44/1.83 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'( 't_a' ) ), X ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.44/1.83 't_a' ) ), Y ) ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ), hAPP(
% 1.44/1.83 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a',
% 1.44/1.83 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.83 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ) ) ), Y ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.83 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.44/1.83 ) ) ), Y ), Y ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.44/1.83 X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.83 , T ), Z ) ) ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.83 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 1.44/1.83 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.44/1.83 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.44/1.83 'c_fequal'( X ) ), Y ) ) ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 1.44/1.83 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 1.44/1.83 hBOOL( hAPP( Z, Y ) ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Otop__class_Otop'(
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( 'c_split'( X, Y, Z, 'tc_bool' ), hAPP( hAPP( 'c_Pair'( Y
% 1.44/1.83 , Z ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( X, T ), U ) ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( 'c_split'( X, T, U,
% 1.44/1.83 'tc_bool' ), hAPP( hAPP( 'c_Pair'( T, U ), Y ), Z ) ) ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.44/1.83 'c_Set_Oinsert'( T ), Z ), X ), Y ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.44/1.83 X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_split'( X, Y, Z, T ), hAPP( hAPP( 'c_Pair'( Y, Z ), U ), W
% 1.44/1.83 ) ), hAPP( hAPP( X, U ), W ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_split'( X, Y, Z, T ), hAPP( hAPP( 'c_Pair'( Y, Z ), U ), W
% 1.44/1.83 ) ), hAPP( hAPP( X, U ), W ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.83 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.83 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.44/1.83 ) ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.44/1.83 ],
% 1.44/1.83 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.44/1.83 'c_Orderings_Otop__class_Otop'( X ) ), Y ),
% 1.44/1.83 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.44/1.83 'c_Orderings_Otop__class_Otop'( X ) ), 'c_Orderings_Otop__class_Otop'( X
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_Collect'( X ), Y ), Y ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.83 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 1.44/1.83 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.83 , Y ), T ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.83 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 1.44/1.83 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.83 , Z ), T ) ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.44/1.83 [ =( 'c_split'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_prod'( Y, X ) )
% 1.44/1.83 , 'tc_fun'( X, Z ), Y ), hAPP( 'c_COMBB'( 'tc_prod'( Y, X ), Z, X ), T )
% 1.44/1.83 ), 'c_Pair'( Y, X ) ), Y, X, Z ), T ) ],
% 1.44/1.83 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), hAPP( hAPP(
% 1.44/1.83 'c_Set_Oinsert'( Z ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.44/1.83 'tc_bool' ) ) ) ) ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 1.44/1.83 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.83 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.83 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.44/1.83 , Y ), Z ) ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.44/1.83 , Y ), Z ) ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.44/1.83 , Y ), Z ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.44/1.83 X ), Z ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_Set_Oinsert'( X ), Y ), T ) ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 1.44/1.83 ],
% 1.44/1.83 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 1.44/1.83 ],
% 1.44/1.83 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.44/1.83 hAPP( U, W ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( hAPP( 'c_COMBC'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.44/1.83 T, W ), U ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 1.44/1.83 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.44/1.83 T, W ), hAPP( U, W ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.44/1.83 X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.44/1.83 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.44/1.83 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.83 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.83 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.83 , Y ), T ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.83 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.83 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.83 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.83 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.44/1.83 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.44/1.83 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.44/1.83 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.44/1.83 'c_fequal'( X ) ), Y ) ) ), Z ) ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP( Z, Y ) ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ) ) ) ) ), =( Y, Z ) ],
% 1.44/1.83 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' )
% 1.44/1.83 , 'c_in'( X ) ), Y ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' )
% 1.44/1.83 , 'tc_bool' ), 'c_in'( X ) ), Z ) ) ), =( Y, Z ) ],
% 1.44/1.83 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.44/1.83 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ), X ), 'c_or' ), Y ) ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.83 , hAPP( 'c_Collect'( X ), Y ) ), hAPP( 'c_Collect'( X ), Z ) ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Collect'( X ), Z ) ) ),
% 1.44/1.83 ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), hAPP(
% 1.44/1.83 'c_Collect'( Z ), X ) ) ) ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 1.44/1.83 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T ) ), ~(
% 1.44/1.83 hBOOL( hAPP( Z, T ) ) ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_Set_Oinsert'( X ), Y ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.44/1.83 T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Z, T ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.83 , hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.44/1.83 'c_fequal'( X ) ), Y ) ) ), Z ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.83 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.83 , Z ), Y ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Z ), ~( hBOOL( hAPP(
% 1.44/1.83 hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.83 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ) ) ) ), Z ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.44/1.83 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.83 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool'
% 1.44/1.83 ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_fun'( Y,
% 1.44/1.83 'tc_bool' ) ), X ), 'c_COMBC'( Y, 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool'
% 1.44/1.83 ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_prod'( X, Y )
% 1.44/1.83 ), 'tc_fun'( Y, 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ),
% 1.44/1.83 'tc_bool' ) ), X ), hAPP( 'c_COMBB'( 'tc_prod'( X, Y ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ), Y ), 'c_in'(
% 1.44/1.83 'tc_prod'( X, Y ) ) ) ), 'c_Pair'( X, Y ) ) ) ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( X, 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_fun'( Y,
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.44/1.83 'c_COMBC'( Y, 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_prod'( X, Y ) ), 'tc_fun'( Y,
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ) ), X ),
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_prod'( X, Y ), 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y )
% 1.44/1.83 , 'tc_bool' ), 'tc_bool' ), Y ), 'c_in'( 'tc_prod'( X, Y ) ) ) ),
% 1.44/1.83 'c_Pair'( X, Y ) ) ) ), T ) ) ), =( Z, T ) ],
% 1.44/1.83 [ ~( =( 'v_x', 'v_y' ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), 'v_L' ), hAPP( 'c_Collect'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_COMBS'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), 'c_and' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_bool', 'tc_fun'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'c_All'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_All'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), hAPP( hAPP( 'c_COMBS'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), 'c_COMBS'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ),
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.83 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_implies'
% 1.44/1.83 ) ) ), hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_All'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), hAPP( hAPP( 'c_COMBS'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ),
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.83 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_implies'
% 1.44/1.83 ) ) ), hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ) ) ) ) ), hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ) ) ) ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBS'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool', 'tc_bool' )
% 1.44/1.83 , hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'c_and' ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_bool', 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'c_All'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Not' ) ), hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ), hAPP( hAPP( 'c_COMBS'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_COMBI'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_bool',
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'c_All'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( 'c_COMBS'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.83 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_implies'
% 1.44/1.83 ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Orderings_Otop__class_Otop'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ) ) ) ), hAPP(
% 1.44/1.83 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_bool',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_All'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_implies' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Orderings_Otop__class_Otop'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ) ) ) ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( 'c_COMBS'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_implies' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.83 'tc_bool', 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Not' ) ), 'c_fequal'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ) ), hAPP( hAPP( 'c_COMBS'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), 'c_COMBS'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ),
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.83 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_or' ) ) )
% 1.44/1.83 , hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ) ) ) ), hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ],
% 1.44/1.83 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), hAPP( 'c_Collect'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_split'( hAPP( hAPP( 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBS'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.83 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.83 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_and' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.83 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBC'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.83 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.83 ) ), 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), 'v_L' ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.83 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.83 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.84 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'c_and' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_bool' ), 'c_fequal'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_y' ) )
% 1.44/1.84 ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_bool' ), 'c_fequal'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_y' ) )
% 1.44/1.84 ) ), 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Set_Oinsert'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_Pair'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'v_x' ), 'v_y' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ) ) ) ) ), hAPP( 'c_Collect'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_bool' ), 'tc_bool', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Ex'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBC'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.84 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.84 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_COMBS'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.84 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.84 'tc_bool' ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.84 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.84 'c_COMBB'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 , 'c_COMBB'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_fequal'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 ) ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 , 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_y' ) ) ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_COMBS'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ),
% 1.44/1.84 hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_and' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ), 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 , 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_x' ) ) ), 'v_L' ) ) ), hAPP(
% 1.44/1.84 hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool', 'tc_Arrow__Order__Mirabelle_Oalt'
% 1.44/1.84 ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'c_fequal'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_y' ) ) ) ) ) ) ) ), hAPP(
% 1.44/1.84 'c_Collect'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_bool', 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 , 'c_Ex'( 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.84 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.84 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.84 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_COMBS'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.84 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.84 'tc_bool' ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.84 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.84 'c_COMBB'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 , 'c_COMBB'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_fequal'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 ) ), hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_y' ) ) ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_COMBS'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ),
% 1.44/1.84 hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_and' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ), 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 ), hAPP( 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_x' ) ) ), 'v_L' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_COMBB'( 'tc_bool', 'tc_bool', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'c_Not' ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'c_fequal'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_y' ) ) ) ) ) ) ) ), hAPP(
% 1.44/1.84 'c_Collect'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBS'(
% 1.44/1.84 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool', 'tc_bool' )
% 1.44/1.84 , hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.84 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'c_and' ), hAPP( hAPP(
% 1.44/1.84 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.84 'tc_bool', 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'c_All'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_bool',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_All'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), hAPP( hAPP( 'c_COMBS'( 'tc_fun'(
% 1.44/1.84 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ) ), 'c_COMBS'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ),
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.44/1.84 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBS'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ),
% 1.44/1.84 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), hAPP( 'c_COMBB'(
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.84 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_implies'
% 1.44/1.84 ) ) ), hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.84 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.84 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBC'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.84 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 ) ), 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_bool',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_All'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), hAPP( hAPP( 'c_COMBS'(
% 1.44/1.84 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ) ), 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ) ), 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ),
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.44/1.84 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBS'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ),
% 1.44/1.84 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), hAPP( 'c_COMBB'(
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.84 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_implies'
% 1.44/1.84 ) ) ), hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.84 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.84 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBC'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.84 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 ) ), 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ) ) ) ) ), hAPP( 'c_COMBC'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.84 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.84 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBC'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.84 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 ) ), 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ) ) ) ) ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_COMBS'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool', 'tc_bool' )
% 1.44/1.84 , hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.84 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'c_and' ), hAPP( hAPP(
% 1.44/1.84 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.84 'tc_bool', 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'c_All'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ) ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Not' ) ), hAPP( 'c_COMBC'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ), 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 ), hAPP( hAPP( 'c_COMBS'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 , 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_COMBI'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_bool',
% 1.44/1.84 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'c_All'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ) ), hAPP( 'c_COMBS'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.84 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_implies'
% 1.44/1.84 ), hAPP( hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Orderings_Otop__class_Otop'(
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ) ) ) ), hAPP(
% 1.44/1.84 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_bool',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_All'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBS'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.44/1.84 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_implies' ), hAPP( hAPP( 'c_COMBC'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Orderings_Otop__class_Otop'(
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ) ) ) ) ),
% 1.44/1.84 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ) ), hAPP( 'c_COMBS'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.84 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBS'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.44/1.84 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool',
% 1.44/1.84 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'(
% 1.44/1.84 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_implies' ) ), hAPP( hAPP(
% 1.44/1.84 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_bool',
% 1.44/1.84 'tc_bool', 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Not' ) ), 'c_fequal'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ) ), hAPP( hAPP( 'c_COMBS'(
% 1.44/1.84 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ) ), 'c_COMBS'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ),
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.44/1.84 'tc_fun'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ),
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBS'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ),
% 1.44/1.84 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), hAPP( 'c_COMBB'(
% 1.44/1.84 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.44/1.84 'tc_bool', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_or' ) ) )
% 1.44/1.84 , hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.84 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.84 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBC'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.84 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 ) ), 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ) ) ) ), hAPP( 'c_COMBC'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.84 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.44/1.84 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_COMBC'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 , 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_fun'(
% 1.44/1.84 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_COMBB'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.44/1.84 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_bool' ),
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_in'( 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 ) ), hAPP( 'c_COMBC'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_prod'(
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.44/1.84 , 'c_Pair'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.44/1.84 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 1.44/1.84 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.44/1.84 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.44/1.84 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.44/1.84 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 1.44/1.84 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.44/1.84 'class_Lattices_Olattice'( Y ) ) ],
% 1.44/1.84 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.44/1.84 'class_Lattices_Olattice'( Y ) ) ],
% 1.44/1.84 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.44/1.84 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 1.44/1.84 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.44/1.84 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.44/1.84 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.44/1.84 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.44/1.84 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.44/1.84 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.44/1.84 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.44/1.84 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.44/1.84 'class_Orderings_Opreorder'( Y ) ) ],
% 1.44/1.84 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.44/1.84 'class_Lattices_Olattice'( Y ) ) ],
% 1.44/1.84 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.44/1.84 'class_Orderings_Oorder'( Y ) ) ],
% 1.44/1.84 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 1.44/1.84 Y ) ) ],
% 1.44/1.84 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.44/1.84 Y ) ) ],
% 1.44/1.84 [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ouminus'( Y ) )
% 1.44/1.84 ],
% 1.44/1.84 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 1.44/1.84 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.44/1.84 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.44/1.84 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 1.44/1.84 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.44/1.84 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 1.44/1.84 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.44/1.84 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.44/1.84 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.44/1.84 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.44/1.84 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 1.44/1.84 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.44/1.84 [ 'class_HOL_Ouminus'( 'tc_bool' ) ],
% 1.44/1.84 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 1.44/1.84 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.44/1.84 T, W ), hAPP( U, W ) ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( hAPP( 'c_COMBC'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.44/1.84 T, W ), U ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.44/1.84 hAPP( U, W ) ) ) ],
% 1.44/1.84 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 1.44/1.84 [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 1.44/1.84 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 1.44/1.84 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 1.44/1.84 ] .
% 1.44/1.84
% 1.44/1.84
% 1.44/1.84 percentage equality = 0.376772, percentage horn = 0.907285
% 1.44/1.84 This is a problem with some equality
% 1.44/1.84
% 1.44/1.84
% 1.44/1.84
% 1.44/1.84 Options Used:
% 1.44/1.84
% 1.44/1.84 useres = 1
% 1.44/1.84 useparamod = 1
% 1.44/1.84 useeqrefl = 1
% 1.44/1.84 useeqfact = 1
% 1.44/1.84 usefactor = 1
% 1.44/1.84 usesimpsplitting = 0
% 1.44/1.84 usesimpdemod = 5
% 1.44/1.84 usesimpres = 3
% 1.44/1.84
% 1.44/1.84 resimpinuse = 1000
% 1.44/1.84 resimpclauses = 20000
% 1.44/1.84 substype = eqrewr
% 1.44/1.84 backwardsubs = 1
% 1.44/1.84 selectoldest = 5
% 1.44/1.84
% 1.44/1.84 litorderings [0] = split
% 1.44/1.84 litorderings [1] = extend the termordering, first sorting on arguments
% 1.44/1.84
% 1.44/1.84 termordering = kbo
% 1.44/1.84
% 1.44/1.84 litapriori = 0
% 1.44/1.84 termapriori = 1
% 1.44/1.84 litaposteriori = 0
% 1.44/1.84 termaposteriori = 0
% 1.44/1.84 demodaposteriori = 0
% 1.44/1.84 ordereqreflfact = 0
% 1.44/1.84
% 1.44/1.84 litselect = negord
% 1.44/1.84
% 1.44/1.84 maxweight = 15
% 1.44/1.84 maxdepth = 30000
% 1.44/1.84 maxlength = 115
% 1.44/1.84 maxnrvars = 195
% 1.44/1.84 excuselevel = 1
% 1.44/1.84 increasemaxweight = 1
% 1.44/1.84
% 1.44/1.84 maxselected = 10000000
% 1.44/1.84 maxnrclauses = 10000000
% 1.44/1.84
% 1.44/1.84 showgenerated = 0
% 1.44/1.84 showkept = 0
% 1.44/1.84 showselected = 0
% 1.44/1.84 showdeleted = 0
% 1.44/1.84 showresimp = 1
% 1.44/1.84 showstatus = 2000
% 1.44/1.84
% 1.44/1.84 prologoutput = 1
% 1.44/1.84 nrgoals = 5000000
% 1.44/1.84 totalproof = 1
% 1.44/1.84
% 1.44/1.84 Symbols occurring in the translation:
% 1.44/1.84
% 1.44/1.84 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.44/1.84 . [1, 2] (w:1, o:144, a:1, s:1, b:0),
% 1.44/1.84 ! [4, 1] (w:0, o:86, a:1, s:1, b:0),
% 1.44/1.84 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.44/1.84 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.44/1.84 'class_Orderings_Olinorder' [40, 1] (w:1, o:91, a:1, s:1, b:0),
% 1.44/1.84 'class_Orderings_Oorder' [42, 1] (w:1, o:92, a:1, s:1, b:0),
% 1.44/1.84 'c_lessequals' [43, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.44/1.84 hAPP [46, 2] (w:1, o:169, a:1, s:1, b:0),
% 1.44/1.84 hBOOL [48, 1] (w:1, o:94, a:1, s:1, b:0),
% 1.44/1.84 'c_Orderings_Oorder__class_Ostrict__mono' [49, 3] (w:1, o:192, a:1
% 1.44/1.84 , s:1, b:0),
% 1.44/1.84 'c_HOL_Oord__class_Oless' [50, 1] (w:1, o:95, a:1, s:1, b:0),
% 1.44/1.84 'class_OrderedGroup_Oab__group__add' [51, 1] (w:1, o:96, a:1, s:1, b:
% 1.44/1.84 0),
% 1.44/1.84 'c_Finite__Set_Osetsum' [52, 2] (w:1, o:170, a:1, s:1, b:0),
% 1.44/1.84 'tc_bool' [53, 0] (w:1, o:17, a:1, s:1, b:0),
% 1.44/1.84 'tc_fun' [54, 2] (w:1, o:171, a:1, s:1, b:0),
% 1.44/1.84 'c_HOL_Ominus__class_Ominus' [55, 1] (w:1, o:97, a:1, s:1, b:0),
% 1.44/1.84 'c_Set_Oinsert' [57, 1] (w:1, o:99, a:1, s:1, b:0),
% 1.44/1.84 'c_Orderings_Obot__class_Obot' [59, 1] (w:1, o:100, a:1, s:1, b:0),
% 1.44/1.84 'c_in' [60, 1] (w:1, o:101, a:1, s:1, b:0),
% 1.44/1.84 'c_Finite__Set_Ofinite' [61, 2] (w:1, o:172, a:1, s:1, b:0),
% 1.44/1.84 'class_Ring__and__Field_Oring' [62, 1] (w:1, o:102, a:1, s:1, b:0),
% 1.44/1.84 'c_Set_Oimage' [63, 3] (w:1, o:199, a:1, s:1, b:0),
% 1.44/1.84 'c_Lattices_Oupper__semilattice__class_Osup' [65, 1] (w:1, o:103, a:1
% 1.44/1.84 , s:1, b:0),
% 1.44/1.84 'c_Fun_Oinj__on' [66, 4] (w:1, o:221, a:1, s:1, b:0),
% 1.44/1.84 'c_Hilbert__Choice_Oinv__into' [67, 4] (w:1, o:222, a:1, s:1, b:0),
% 1.44/1.84 'class_Ring__and__Field_Ocomm__semiring__1' [69, 1] (w:1, o:104, a:1
% 1.44/1.84 , s:1, b:0),
% 1.44/1.84 'c_HOL_Oplus__class_Oplus' [70, 1] (w:1, o:105, a:1, s:1, b:0),
% 1.44/1.84 'class_OrderedGroup_Ocomm__monoid__add' [72, 1] (w:1, o:106, a:1, s:1
% 1.44/1.84 , b:0),
% 1.44/1.84 'c_Relation_Oconverse' [75, 3] (w:1, o:193, a:1, s:1, b:0),
% 1.44/1.84 'c_Transitive__Closure_Otrancl' [76, 2] (w:1, o:173, a:1, s:1, b:0),
% 1.44/1.84
% 1.44/1.84 'c_Lattices_Olower__semilattice__class_Oinf' [77, 1] (w:1, o:107, a:1
% 1.44/1.84 , s:1, b:0),
% 1.44/1.84 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI' [78, 3] (w:1
% 1.44/1.84 , o:200, a:1, s:1, b:0),
% 1.44/1.84 'c_Orderings_Otop__class_Otop' [79, 1] (w:1, o:108, a:1, s:1, b:0),
% 1.44/1.84 'c_Relation_OImage' [80, 3] (w:1, o:194, a:1, s:1, b:0),
% 1.44/1.84 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [82, 3] (w:1
% 1.44/1.84 , o:201, a:1, s:1, b:0),
% 1.44/1.84 'c_COMBB' [83, 3] (w:1, o:202, a:1, s:1, b:0),
% 1.44/1.84 'c_Relation_OId' [85, 1] (w:1, o:98, a:1, s:1, b:0),
% 1.44/1.84 'c_Relation_Oantisym' [86, 2] (w:1, o:174, a:1, s:1, b:0),
% 1.44/1.84 'c_HOL_Ouminus__class_Ouminus' [87, 1] (w:1, o:109, a:1, s:1, b:0),
% 1.44/1.84 'c_Relation_ORange' [88, 3] (w:1, o:195, a:1, s:1, b:0),
% 1.44/1.84 'c_Relation_ODomain' [89, 3] (w:1, o:196, a:1, s:1, b:0),
% 1.44/1.84 'tc_prod' [91, 2] (w:1, o:175, a:1, s:1, b:0),
% 1.44/1.84 'c_Relation_Otrans' [92, 2] (w:1, o:177, a:1, s:1, b:0),
% 1.44/1.84 'c_Transitive__Closure_Ortrancl' [93, 2] (w:1, o:178, a:1, s:1, b:0)
% 1.44/1.84 ,
% 1.44/1.84 'c_Relation_Orel__comp' [94, 5] (w:1, o:231, a:1, s:1, b:0),
% 1.44/1.84 'c_COMBK' [96, 3] (w:1, o:203, a:1, s:1, b:0),
% 1.44/1.84 'c_Product__Type_OSigma' [97, 4] (w:1, o:224, a:1, s:1, b:0),
% 1.44/1.84 'c_Relation_Osingle__valued' [99, 3] (w:1, o:197, a:1, s:1, b:0),
% 1.44/1.84 'class_Lattices_Olattice' [100, 1] (w:1, o:110, a:1, s:1, b:0),
% 1.44/1.84 'class_Lattices_Olower__semilattice' [102, 1] (w:1, o:111, a:1, s:1
% 1.44/1.84 , b:0),
% 1.44/1.84 'class_Complete__Lattice_Ocomplete__lattice' [103, 1] (w:1, o:112, a:
% 1.44/1.84 1, s:1, b:0),
% 1.44/1.84 'c_fequal' [106, 1] (w:1, o:113, a:1, s:1, b:0),
% 1.44/1.84 'c_Predicate_Oconversep' [107, 3] (w:1, o:208, a:1, s:1, b:0),
% 1.44/1.84 'class_OrderedGroup_Opordered__ab__group__add' [108, 1] (w:1, o:115
% 1.44/1.84 , a:1, s:1, b:0),
% 1.44/1.84 'c_Orderings_Oorder_Ostrict__mono' [110, 3] (w:1, o:204, a:1, s:1, b:
% 1.44/1.84 0),
% 1.44/1.84 'c_Orderings_Oorder' [112, 3] (w:1, o:205, a:1, s:1, b:0),
% 1.44/1.84 'c_Orderings_Oorder_Omono' [114, 3] (w:1, o:206, a:1, s:1, b:0),
% 1.44/1.84 'c_Fun_Othe__inv__into' [115, 4] (w:1, o:225, a:1, s:1, b:0),
% 1.44/1.84 'c_Set_Ovimage' [116, 3] (w:1, o:209, a:1, s:1, b:0),
% 1.44/1.84 'c_List_Olistsp' [118, 3] (w:1, o:210, a:1, s:1, b:0),
% 1.44/1.84 'class_Orderings_Opreorder' [119, 1] (w:1, o:116, a:1, s:1, b:0),
% 1.44/1.84 'class_Lattices_Oboolean__algebra' [120, 1] (w:1, o:117, a:1, s:1, b:
% 1.44/1.84 0),
% 1.44/1.84 'class_OrderedGroup_Ogroup__add' [121, 1] (w:1, o:118, a:1, s:1, b:0)
% 1.44/1.84 ,
% 1.44/1.84 'class_Ring__and__Field_Oordered__idom' [122, 1] (w:1, o:119, a:1, s:
% 1.44/1.84 1, b:0),
% 1.44/1.84 'c_COMBS' [126, 3] (w:1, o:211, a:1, s:1, b:0),
% 1.44/1.84 'class_OrderedGroup_Olordered__ab__group__add' [127, 1] (w:1, o:120
% 1.44/1.84 , a:1, s:1, b:0),
% 1.44/1.84 'c_Finite__Set_Olattice_OInf__fin' [129, 3] (w:1, o:212, a:1, s:1, b:
% 10.72/11.08 0),
% 10.72/11.08 'c_Complete__Lattice_Ocomplete__lattice' [135, 9] (w:1, o:234, a:1
% 10.72/11.08 , s:1, b:0),
% 10.72/11.08 'c_Predicate_Opred__comp' [136, 5] (w:1, o:232, a:1, s:1, b:0),
% 10.72/11.08 'c_Orderings_Oorder__class_Omono' [137, 3] (w:1, o:207, a:1, s:1, b:0
% 10.72/11.08 ),
% 10.72/11.08 'class_OrderedGroup_Opordered__ab__semigroup__add' [139, 1] (w:1, o:
% 10.72/11.08 121, a:1, s:1, b:0),
% 10.72/11.08 'c_Predicate_ODomainP' [143, 4] (w:1, o:226, a:1, s:1, b:0),
% 10.72/11.08 'c_Hilbert__Choice_OEps' [145, 2] (w:1, o:179, a:1, s:1, b:0),
% 10.72/11.08 'c_Lattices_Oboolean__algebra' [148, 9] (w:1, o:235, a:1, s:1, b:0),
% 10.72/11.08
% 10.72/11.08 'class_OrderedGroup_Oab__semigroup__add' [149, 1] (w:1, o:122, a:1
% 10.72/11.08 , s:1, b:0),
% 10.72/11.08 'c_Relation_Osym' [153, 2] (w:1, o:176, a:1, s:1, b:0),
% 10.72/11.08 'class_OrderedGroup_Olordered__ab__group__add__meet' [155, 1] (w:1
% 10.72/11.08 , o:123, a:1, s:1, b:0),
% 10.72/11.08 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [159, 1]
% 10.72/11.08 (w:1, o:124, a:1, s:1, b:0),
% 10.72/11.08 'c_Finite__Set_Olattice_OSup__fin' [160, 3] (w:1, o:213, a:1, s:1, b:
% 10.72/11.08 0),
% 10.72/11.08 'class_Lattices_Odistrib__lattice' [161, 1] (w:1, o:125, a:1, s:1, b:
% 10.72/11.08 0),
% 10.72/11.08 'c_COMBC' [162, 3] (w:1, o:214, a:1, s:1, b:0),
% 10.72/11.08 'c_Lattices_Odistrib__lattice' [163, 5] (w:1, o:233, a:1, s:1, b:0),
% 10.72/11.08
% 10.72/11.08 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [164, 1]
% 10.72/11.08 (w:1, o:126, a:1, s:1, b:0),
% 10.72/11.08 't_b' [165, 0] (w:1, o:62, a:1, s:1, b:0),
% 10.72/11.08 'class_HOL_Ouminus' [166, 1] (w:1, o:127, a:1, s:1, b:0),
% 10.72/11.08 't_a' [167, 0] (w:1, o:61, a:1, s:1, b:0),
% 10.72/11.08 'v_A' [168, 0] (w:1, o:63, a:1, s:1, b:0),
% 10.72/11.08 'v_x' [169, 0] (w:1, o:64, a:1, s:1, b:0),
% 10.72/11.08 'v_r' [170, 0] (w:1, o:65, a:1, s:1, b:0),
% 10.72/11.08 'class_Lattices_Oupper__semilattice' [171, 1] (w:1, o:128, a:1, s:1
% 10.72/11.08 , b:0),
% 10.72/11.08 'c_Relation_OField' [172, 2] (w:1, o:180, a:1, s:1, b:0),
% 10.72/11.08 'c_Finite__Set_Olattice__class_OSup__fin' [174, 2] (w:1, o:181, a:1
% 10.72/11.08 , s:1, b:0),
% 10.72/11.08 'class_Ring__and__Field_Oidom' [175, 1] (w:1, o:129, a:1, s:1, b:0),
% 10.72/11.08
% 10.72/11.08 'class_Int_Onumber__ring' [176, 1] (w:1, o:131, a:1, s:1, b:0),
% 10.72/11.08 'class_OrderedGroup_Ocancel__ab__semigroup__add' [177, 1] (w:1, o:132
% 10.72/11.08 , a:1, s:1, b:0),
% 10.72/11.08 'class_OrderedGroup_Ocancel__semigroup__add' [178, 1] (w:1, o:133, a:
% 10.72/11.08 1, s:1, b:0),
% 10.72/11.08 'c_Finite__Set_Olattice__class_OInf__fin' [179, 2] (w:1, o:182, a:1
% 10.72/11.08 , s:1, b:0),
% 10.72/11.08 'class_HOL_Ominus' [180, 1] (w:1, o:130, a:1, s:1, b:0),
% 10.72/11.08 'class_Finite__Set_Ofinite_Ofinite' [182, 1] (w:1, o:134, a:1, s:1
% 10.72/11.08 , b:0),
% 10.72/11.08 'c_Relation_Ototal__on' [183, 3] (w:1, o:198, a:1, s:1, b:0),
% 10.72/11.08 'c_The' [184, 2] (w:1, o:183, a:1, s:1, b:0),
% 10.72/11.08 'c_Finite__Set_Olinorder__class_OMin' [185, 2] (w:1, o:184, a:1, s:1
% 10.72/11.08 , b:0),
% 10.72/11.08 'c_Predicate_ORangeP' [186, 4] (w:1, o:227, a:1, s:1, b:0),
% 10.72/11.08 'c_Finite__Set_Olinorder__class_OMax' [187, 2] (w:1, o:185, a:1, s:1
% 10.72/11.08 , b:0),
% 10.72/11.08 'c_Wellfounded_Oaccp' [188, 3] (w:1, o:215, a:1, s:1, b:0),
% 10.72/11.08 'c_Pair' [189, 2] (w:1, o:186, a:1, s:1, b:0),
% 10.72/11.08 'c_Relation_Oirrefl' [190, 2] (w:1, o:187, a:1, s:1, b:0),
% 10.72/11.08 'c_Collect' [191, 1] (w:1, o:135, a:1, s:1, b:0),
% 10.72/11.08 'c_HOL_Oundefined' [193, 1] (w:1, o:136, a:1, s:1, b:0),
% 10.72/11.08 'c_FuncSet_Oextensional' [194, 3] (w:1, o:216, a:1, s:1, b:0),
% 10.72/11.08 'class_Lattices_Obounded__lattice' [196, 1] (w:1, o:137, a:1, s:1, b:
% 10.72/11.08 0),
% 10.72/11.08 'class_Orderings_Obot' [197, 1] (w:1, o:138, a:1, s:1, b:0),
% 10.72/11.08 'v_f' [198, 0] (w:1, o:69, a:1, s:1, b:0),
% 10.72/11.08 'c_and' [199, 0] (w:1, o:70, a:1, s:1, b:0),
% 10.72/11.08 'c_Not' [200, 0] (w:1, o:71, a:1, s:1, b:0),
% 10.72/11.08 'v_y' [201, 0] (w:1, o:72, a:1, s:1, b:0),
% 10.72/11.08 'tc_Arrow__Order__Mirabelle_Oalt' [202, 0] (w:1, o:73, a:1, s:1, b:0)
% 10.72/11.08 ,
% 10.72/11.08 'c_Arrow__Order__Mirabelle_Omkbot' [204, 2] (w:1, o:188, a:1, s:1, b:
% 10.72/11.08 0),
% 10.72/11.08 'c_Arrow__Order__Mirabelle_Omktop' [205, 2] (w:1, o:189, a:1, s:1, b:
% 10.72/11.08 0),
% 10.72/11.08 'c_Wellfounded_Oacc' [206, 2] (w:1, o:190, a:1, s:1, b:0),
% 10.72/11.08 'c_or' [207, 0] (w:1, o:74, a:1, s:1, b:0),
% 10.72/11.08 'c_Zorn_OChain' [208, 2] (w:1, o:191, a:1, s:1, b:0),
% 10.72/11.08 'c_All' [209, 1] (w:1, o:139, a:1, s:1, b:0),
% 10.72/11.08 'c_implies' [210, 0] (w:1, o:75, a:1, s:1, b:0),
% 91.67/92.12 'c_Ex' [211, 1] (w:1, o:140, a:1, s:1, b:0),
% 91.67/92.12 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1' [
% 91.67/92.12 212, 4] (w:1, o:228, a:1, s:1, b:0),
% 91.67/92.12 'class_OrderedGroup_Olordered__ab__group__add__join' [213, 1] (w:1
% 91.67/92.12 , o:141, a:1, s:1, b:0),
% 91.67/92.12 'class_Orderings_Otop' [214, 1] (w:1, o:142, a:1, s:1, b:0),
% 91.67/92.12 'c_COMBI' [215, 1] (w:1, o:143, a:1, s:1, b:0),
% 91.67/92.12 'v_s' [217, 0] (w:1, o:77, a:1, s:1, b:0),
% 91.67/92.12 't_c' [218, 0] (w:1, o:78, a:1, s:1, b:0),
% 91.67/92.12 'c_split' [219, 4] (w:1, o:229, a:1, s:1, b:0),
% 91.67/92.12 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bex__1__1' [220, 4
% 91.67/92.12 ] (w:1, o:230, a:1, s:1, b:0),
% 91.67/92.12 'c_Finite__Set_Olinorder_OMin' [223, 3] (w:1, o:217, a:1, s:1, b:0),
% 91.67/92.12
% 91.67/92.12 'c_OrderedGroup_Oordered__ab__semigroup__add' [224, 4] (w:1, o:223
% 91.67/92.12 , a:1, s:1, b:0),
% 91.67/92.12 'c_Finite__Set_Olinorder_OMax' [225, 3] (w:1, o:218, a:1, s:1, b:0),
% 91.67/92.12
% 91.67/92.12 'class_OrderedGroup_Oordered__ab__semigroup__add' [226, 1] (w:1, o:
% 91.67/92.12 114, a:1, s:1, b:0),
% 91.67/92.12 'v_L' [227, 0] (w:1, o:81, a:1, s:1, b:0),
% 91.67/92.12 'v_a' [228, 0] (w:1, o:82, a:1, s:1, b:0),
% 91.67/92.12 'v_b' [229, 0] (w:1, o:83, a:1, s:1, b:0),
% 91.67/92.12 'c_Arrow__Order__Mirabelle_Obelow' [230, 3] (w:1, o:220, a:1, s:1, b:
% 91.67/92.12 0),
% 91.67/92.12 'c_Arrow__Order__Mirabelle_Oabove' [231, 3] (w:1, o:219, a:1, s:1, b:
% 91.67/92.12 0).
% 91.67/92.12
% 91.67/92.12
% 91.67/92.12 Starting Search:
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12
% 91.67/92.12 Intermediate Status:
% 91.67/92.12 Generated: 4486
% 91.67/92.12 Kept: 2000
% 91.67/92.12 Inuse: 115
% 91.67/92.12 Deleted: 4
% 91.67/92.12 Deletedinuse: 0
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12
% 91.67/92.12 Intermediate Status:
% 91.67/92.12 Generated: 8950
% 91.67/92.12 Kept: 4007
% 91.67/92.12 Inuse: 183
% 91.67/92.12 Deleted: 7
% 91.67/92.12 Deletedinuse: 0
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12
% 91.67/92.12 Intermediate Status:
% 91.67/92.12 Generated: 14685
% 91.67/92.12 Kept: 6031
% 91.67/92.12 Inuse: 212
% 91.67/92.12 Deleted: 7
% 91.67/92.12 Deletedinuse: 0
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12
% 91.67/92.12 Intermediate Status:
% 91.67/92.12 Generated: 20997
% 91.67/92.12 Kept: 8050
% 91.67/92.12 Inuse: 274
% 91.67/92.12 Deleted: 8
% 91.67/92.12 Deletedinuse: 0
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12
% 91.67/92.12 Intermediate Status:
% 91.67/92.12 Generated: 33369
% 91.67/92.12 Kept: 10487
% 91.67/92.12 Inuse: 313
% 91.67/92.12 Deleted: 11
% 91.67/92.12 Deletedinuse: 3
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12
% 91.67/92.12 Intermediate Status:
% 91.67/92.12 Generated: 46636
% 91.67/92.12 Kept: 12494
% 91.67/92.12 Inuse: 333
% 91.67/92.12 Deleted: 11
% 91.67/92.12 Deletedinuse: 3
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12
% 91.67/92.12 Intermediate Status:
% 91.67/92.12 Generated: 54272
% 91.67/92.12 Kept: 14499
% 91.67/92.12 Inuse: 371
% 91.67/92.12 Deleted: 12
% 91.67/92.12 Deletedinuse: 3
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12
% 91.67/92.12 Intermediate Status:
% 91.67/92.12 Generated: 61056
% 91.67/92.12 Kept: 16568
% 91.67/92.12 Inuse: 392
% 91.67/92.12 Deleted: 12
% 91.67/92.12 Deletedinuse: 3
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12
% 91.67/92.12 Intermediate Status:
% 91.67/92.12 Generated: 76499
% 91.67/92.12 Kept: 18877
% 91.67/92.12 Inuse: 455
% 91.67/92.12 Deleted: 14
% 91.67/92.12 Deletedinuse: 3
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12 Resimplifying clauses:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12
% 91.67/92.12 Intermediate Status:
% 91.67/92.12 Generated: 83895
% 91.67/92.12 Kept: 20951
% 91.67/92.12 Inuse: 501
% 91.67/92.12 Deleted: 225
% 91.67/92.12 Deletedinuse: 7
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12
% 91.67/92.12 Intermediate Status:
% 91.67/92.12 Generated: 89997
% 91.67/92.12 Kept: 22997
% 91.67/92.12 Inuse: 516
% 91.67/92.12 Deleted: 228
% 91.67/92.12 Deletedinuse: 10
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12
% 91.67/92.12 Intermediate Status:
% 91.67/92.12 Generated: 98704
% 91.67/92.12 Kept: 25368
% 91.67/92.12 Inuse: 524
% 91.67/92.12 Deleted: 228
% 91.67/92.12 Deletedinuse: 10
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12
% 91.67/92.12 Intermediate Status:
% 91.67/92.12 Generated: 105314
% 91.67/92.12 Kept: 27444
% 91.67/92.12 Inuse: 539
% 91.67/92.12 Deleted: 228
% 91.67/92.12 Deletedinuse: 10
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12
% 91.67/92.12 Intermediate Status:
% 91.67/92.12 Generated: 116987
% 91.67/92.12 Kept: 29804
% 91.67/92.12 Inuse: 559
% 91.67/92.12 Deleted: 228
% 91.67/92.12 Deletedinuse: 10
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12
% 91.67/92.12 Intermediate Status:
% 91.67/92.12 Generated: 127878
% 91.67/92.12 Kept: 31869
% 91.67/92.12 Inuse: 586
% 91.67/92.12 Deleted: 228
% 91.67/92.12 Deletedinuse: 10
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12
% 91.67/92.12 Intermediate Status:
% 91.67/92.12 Generated: 137105
% 91.67/92.12 Kept: 34205
% 91.67/92.12 Inuse: 602
% 91.67/92.12 Deleted: 228
% 91.67/92.12 Deletedinuse: 10
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12 Resimplifying inuse:
% 91.67/92.12 Done
% 91.67/92.12
% 91.67/92.12
% 91.67/92.12 Intermediate Status:
% 91.67/92.12 Generated: 150736
% 226.47/226.90 Kept: 36267
% 226.47/226.90 Inuse: 612
% 226.47/226.90 Deleted: 228
% 226.47/226.90 Deletedinuse: 10
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 Intermediate Status:
% 226.47/226.90 Generated: 158247
% 226.47/226.90 Kept: 38310
% 226.47/226.90 Inuse: 618
% 226.47/226.90 Deleted: 228
% 226.47/226.90 Deletedinuse: 10
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 Intermediate Status:
% 226.47/226.90 Generated: 166417
% 226.47/226.90 Kept: 40391
% 226.47/226.90 Inuse: 631
% 226.47/226.90 Deleted: 228
% 226.47/226.90 Deletedinuse: 10
% 226.47/226.90
% 226.47/226.90 Resimplifying clauses:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 Intermediate Status:
% 226.47/226.90 Generated: 176132
% 226.47/226.90 Kept: 42678
% 226.47/226.90 Inuse: 644
% 226.47/226.90 Deleted: 293
% 226.47/226.90 Deletedinuse: 10
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 Intermediate Status:
% 226.47/226.90 Generated: 183357
% 226.47/226.90 Kept: 45052
% 226.47/226.90 Inuse: 652
% 226.47/226.90 Deleted: 293
% 226.47/226.90 Deletedinuse: 10
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 Intermediate Status:
% 226.47/226.90 Generated: 191538
% 226.47/226.90 Kept: 47085
% 226.47/226.90 Inuse: 664
% 226.47/226.90 Deleted: 293
% 226.47/226.90 Deletedinuse: 10
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 Intermediate Status:
% 226.47/226.90 Generated: 200150
% 226.47/226.90 Kept: 49197
% 226.47/226.90 Inuse: 675
% 226.47/226.90 Deleted: 293
% 226.47/226.90 Deletedinuse: 10
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 Intermediate Status:
% 226.47/226.90 Generated: 208525
% 226.47/226.90 Kept: 51203
% 226.47/226.90 Inuse: 685
% 226.47/226.90 Deleted: 293
% 226.47/226.90 Deletedinuse: 10
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 Intermediate Status:
% 226.47/226.90 Generated: 220949
% 226.47/226.90 Kept: 53984
% 226.47/226.90 Inuse: 689
% 226.47/226.90 Deleted: 293
% 226.47/226.90 Deletedinuse: 10
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 Intermediate Status:
% 226.47/226.90 Generated: 233077
% 226.47/226.90 Kept: 56003
% 226.47/226.90 Inuse: 702
% 226.47/226.90 Deleted: 294
% 226.47/226.90 Deletedinuse: 11
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 Intermediate Status:
% 226.47/226.90 Generated: 242406
% 226.47/226.90 Kept: 58170
% 226.47/226.90 Inuse: 713
% 226.47/226.90 Deleted: 294
% 226.47/226.90 Deletedinuse: 11
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 Intermediate Status:
% 226.47/226.90 Generated: 251882
% 226.47/226.90 Kept: 60339
% 226.47/226.90 Inuse: 724
% 226.47/226.90 Deleted: 294
% 226.47/226.90 Deletedinuse: 11
% 226.47/226.90
% 226.47/226.90 Resimplifying clauses:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 Intermediate Status:
% 226.47/226.90 Generated: 264833
% 226.47/226.90 Kept: 62352
% 226.47/226.90 Inuse: 750
% 226.47/226.90 Deleted: 366
% 226.47/226.90 Deletedinuse: 11
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 Intermediate Status:
% 226.47/226.90 Generated: 275691
% 226.47/226.90 Kept: 64902
% 226.47/226.90 Inuse: 764
% 226.47/226.90 Deleted: 366
% 226.47/226.90 Deletedinuse: 11
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 Intermediate Status:
% 226.47/226.90 Generated: 289354
% 226.47/226.90 Kept: 67037
% 226.47/226.90 Inuse: 784
% 226.47/226.90 Deleted: 366
% 226.47/226.90 Deletedinuse: 11
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 Intermediate Status:
% 226.47/226.90 Generated: 303382
% 226.47/226.90 Kept: 69089
% 226.47/226.90 Inuse: 806
% 226.47/226.90 Deleted: 366
% 226.47/226.90 Deletedinuse: 11
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 Intermediate Status:
% 226.47/226.90 Generated: 316905
% 226.47/226.90 Kept: 71136
% 226.47/226.90 Inuse: 829
% 226.47/226.90 Deleted: 367
% 226.47/226.90 Deletedinuse: 12
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 Intermediate Status:
% 226.47/226.90 Generated: 332418
% 226.47/226.90 Kept: 73139
% 226.47/226.90 Inuse: 855
% 226.47/226.90 Deleted: 367
% 226.47/226.90 Deletedinuse: 12
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 Intermediate Status:
% 226.47/226.90 Generated: 351686
% 226.47/226.90 Kept: 78496
% 226.47/226.90 Inuse: 885
% 226.47/226.90 Deleted: 369
% 226.47/226.90 Deletedinuse: 12
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90 Resimplifying clauses:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 Intermediate Status:
% 226.47/226.90 Generated: 361476
% 226.47/226.90 Kept: 80631
% 226.47/226.90 Inuse: 902
% 226.47/226.90 Deleted: 485
% 226.47/226.90 Deletedinuse: 15
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 Intermediate Status:
% 226.47/226.90 Generated: 368823
% 226.47/226.90 Kept: 82774
% 226.47/226.90 Inuse: 930
% 226.47/226.90 Deleted: 500
% 226.47/226.90 Deletedinuse: 18
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 Intermediate Status:
% 226.47/226.90 Generated: 377790
% 226.47/226.90 Kept: 85497
% 226.47/226.90 Inuse: 943
% 226.47/226.90 Deleted: 503
% 226.47/226.90 Deletedinuse: 19
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 Intermediate Status:
% 226.47/226.90 Generated: 391266
% 226.47/226.90 Kept: 89136
% 226.47/226.90 Inuse: 953
% 226.47/226.90 Deleted: 503
% 226.47/226.90 Deletedinuse: 19
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 Intermediate Status:
% 226.47/226.90 Generated: 399715
% 226.47/226.90 Kept: 91550
% 226.47/226.90 Inuse: 963
% 226.47/226.90 Deleted: 503
% 226.47/226.90 Deletedinuse: 19
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 Intermediate Status:
% 226.47/226.90 Generated: 407811
% 226.47/226.90 Kept: 93951
% 226.47/226.90 Inuse: 968
% 226.47/226.90 Deleted: 503
% 226.47/226.90 Deletedinuse: 19
% 226.47/226.90
% 226.47/226.90 Resimplifying inuse:
% 226.47/226.90 Done
% 226.47/226.90
% 226.47/226.90
% 226.47/226.90 ICputime limit exceeded (core dumped)
%------------------------------------------------------------------------------