%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT007-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 21:00:29 EDT 2022
% Result : Unsatisfiable 20.19s 20.62s
% Output : Refutation 20.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SCT007-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sat Jul 2 03:08:07 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.86/1.26 *** allocated 10000 integers for termspace/termends
% 0.86/1.26 *** allocated 10000 integers for clauses
% 0.86/1.26 *** allocated 10000 integers for justifications
% 0.86/1.26 *** allocated 15000 integers for termspace/termends
% 0.86/1.26 Bliksem 1.12
% 0.86/1.26
% 0.86/1.26
% 0.86/1.26 Automatic Strategy Selection
% 0.86/1.26
% 0.86/1.26 Clauses:
% 0.86/1.26 [
% 0.86/1.26 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.86/1.26 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 0.86/1.26 X, Y ), X, Y, Y, Y ) ) ],
% 0.86/1.26 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.86/1.26 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.86/1.26 [ 'c_Relation_Oantisym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.86/1.26 , 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y )
% 0.86/1.26 , ~( 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.86/1.26 [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.86/1.26 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( hBOOL( 'c_in'( W, Y, Z ) )
% 0.86/1.26 ), =( X, U ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.86/1.26 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ hBOOL( 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), Z ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.86/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 0.86/1.26 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.86/1.26 ) ) ) ],
% 0.86/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 0.86/1.26 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.26 'tc_bool' ) ) ) ],
% 0.86/1.26 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.86/1.26 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.86/1.26 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.86/1.26 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.86/1.26 'c_Relation_Osym'( X, Z ) ) ],
% 0.86/1.26 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Orderings_Obot__class_Obot'(
% 0.86/1.26 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Relation_OId'( X ) )
% 0.86/1.26 ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.86/1.26 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.86/1.26 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.86/1.26 Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.26 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.26 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.86/1.26 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.86/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.86/1.26 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.26 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.86/1.26 , X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.26 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.86/1.26 ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.86/1.26 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.86/1.26 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 0.86/1.26 'tc_bool' ) ) ) ],
% 0.86/1.26 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.86/1.26 Z, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.86/1.26 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.86/1.26 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 0.86/1.26 'tc_bool' ) ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 0.86/1.26 ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.86/1.26 [ hBOOL( 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.86/1.26 Y ) ) ],
% 0.86/1.26 [ =( 'c_Relation_Orel__comp'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.26 'tc_prod'( X, Y ), 'tc_bool' ) ), Z, X, Y, T ),
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, T ), 'tc_bool' )
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ =( 'c_Relation_Orel__comp'( X, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.26 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ), T, Y, Z ),
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( T, Z ), 'tc_bool' )
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oimage'( X, Y, Z, T ), Z, T ), Y ), ~(
% 0.86/1.26 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), Z, T ) ) ],
% 0.86/1.26 [ =( 'c_Collect'( X, Y ), X ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.86/1.26 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X
% 0.86/1.26 , X ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.86/1.26 [ hBOOL( 'c_Relation_Otrans'( X, Y ) ), ~( hBOOL( 'c_Relation_Otrans'(
% 0.86/1.26 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ) ],
% 0.86/1.26 [ hBOOL( 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ),
% 0.86/1.26 ~( hBOOL( 'c_Relation_Otrans'( X, Y ) ) ) ],
% 0.86/1.26 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.86/1.26 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.86/1.26 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.86/1.26 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y
% 0.86/1.26 , Y ), X, Y, Y, Y ), X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.86/1.26 hBOOL( 'c_Relation_Otrans'( X, Y ) ) ), ~( 'c_Relation_Osym'( X, Y ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.86/1.26 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 0.86/1.26 , T, U, V0 ), Z, T, V0 ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.86/1.26 ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'(
% 0.86/1.26 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.86/1.26 'tc_bool' ) ) ],
% 0.86/1.26 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.86/1.26 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.86/1.26 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.86/1.26 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.86/1.26 ~( 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.26 U, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.86/1.26 [ 'c_lessequals'( X, hAPP( Y, Z ), 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 0.86/1.26 'c_in'( Z, U, W ) ) ), ~( 'c_lessequals'( X,
% 0.86/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, Y, W, 'tc_fun'(
% 0.86/1.26 T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.86/1.26 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.86/1.26 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.86/1.26 'tc_bool' ) ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Relation_ODomain'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.86/1.26 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ODomain'( X, Z
% 0.86/1.26 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.26 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.26 X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.86/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.86/1.26 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.86/1.26 ) ) ) ],
% 0.86/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.86/1.26 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.26 ) ],
% 0.86/1.26 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T,
% 0.86/1.26 T ), 'c_Relation_Oinv__image'( 'c_Relation_Oconverse'( X, Z, Z ), Y, Z, T
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.86/1.26 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 0.86/1.26 , Y ) ) ],
% 0.86/1.26 [ hBOOL( 'c_in'( X, hAPP( Y, Z ), T ) ), ~( hBOOL( 'c_in'( Z, U, W ) ) )
% 0.86/1.26 , ~( hBOOL( 'c_in'( X,
% 0.86/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, Y, W, 'tc_fun'(
% 0.86/1.26 T, 'tc_bool' ) ), T ) ) ) ],
% 0.86/1.26 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( T, hAPP( U, X ), W ) )
% 0.86/1.26 , ~( hBOOL( 'c_in'( T,
% 0.86/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, U, Z, 'tc_fun'(
% 0.86/1.26 W, 'tc_bool' ) ), W ) ) ) ],
% 0.86/1.26 [ hBOOL( 'c_in'( X, hAPP( Y, Z ), T ) ), ~( hBOOL( 'c_in'( Z, U, W ) ) )
% 0.86/1.26 , ~( hBOOL( 'c_in'( X,
% 0.86/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, Y, W, 'tc_fun'(
% 0.86/1.26 T, 'tc_bool' ) ), T ) ) ) ],
% 0.86/1.26 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.86/1.26 'tc_bool' ) ), X ) ],
% 0.86/1.26 [ hBOOL( 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T
% 0.86/1.26 ) ), ~( hBOOL( 'c_Relation_Otrans'( X, Z ) ) ) ],
% 0.86/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.86/1.26 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ],
% 0.86/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.86/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.86/1.26 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.86/1.26 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.86/1.26 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X, Y, T, U
% 0.86/1.26 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.86/1.26 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.86/1.26 'tc_bool' ) ), T, U ) ) ],
% 0.86/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.86/1.26 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.86/1.26 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.86/1.26 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.26 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 0.86/1.26 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.86/1.26 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.86/1.26 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.86/1.26 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.86/1.26 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.86/1.26 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.26 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.86/1.26 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.86/1.26 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.86/1.26 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.86/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.86/1.26 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ 'c_Finite__Set_Ofinite'(
% 0.86/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, Z, 'tc_fun'(
% 0.86/1.26 T, 'tc_bool' ) ), T ), ~( 'c_Finite__Set_Ofinite'( hAPP( Y, U ), T ) ),
% 0.86/1.26 ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.86/1.26 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( hAPP( T, X ),
% 0.86/1.26 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( T,
% 0.86/1.26 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.86/1.26 hBOOL( 'c_in'( Y, Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.86/1.26 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ =( 'c_Relation_ORange'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.86/1.26 'c_Relation_ODomain'( X, Y, Z ) ) ],
% 0.86/1.26 [ hBOOL( 'c_Order__Relation_Opartial__order__on'(
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 0.86/1.26 ), X ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z
% 0.86/1.26 , 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.86/1.26 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.86/1.26 'tc_bool' ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.86/1.26 hBOOL( 'c_in'( W, Y, Z ) ) ) ],
% 0.86/1.26 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.86/1.26 'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.86/1.26 , Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U,
% 0.86/1.26 'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ),
% 0.86/1.26 ~( hBOOL( 'c_in'( W, T, U ) ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.86/1.26 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 0.86/1.26 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 0.86/1.26 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.86/1.26 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.86/1.26 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( T, 'c_Orderings_Otop__class_Otop'(
% 0.86/1.26 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ],
% 0.86/1.26 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.86/1.26 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X, Y, T, U
% 0.86/1.26 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.86/1.26 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.86/1.26 , W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ =( 'c_Transitive__Closure_Otrancl'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.86/1.26 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.86/1.26 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.86/1.26 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'(
% 0.86/1.26 Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 0.86/1.26 , U ) ) ],
% 0.86/1.26 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.86/1.26 , ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T,
% 0.86/1.26 'tc_bool' ) ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'(
% 0.86/1.26 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.86/1.26 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.26 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.86/1.26 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.86/1.26 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) )
% 0.86/1.26 ) ],
% 0.86/1.26 [ =( 'c_Product__Type_OSigma'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.26 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.86/1.26 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.86/1.26 [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), Z
% 0.86/1.26 , U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y, T, U ),
% 0.86/1.26 'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ],
% 0.86/1.26 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.86/1.26 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.86/1.26 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.86/1.26 , X ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.86/1.26 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.86/1.26 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.86/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.86/1.26 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.86/1.26 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.86/1.26 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.86/1.26 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'c_Collect'( X, T ),
% 0.86/1.26 'tc_fun'( T, 'tc_bool' ) ), T ) ) ) ],
% 0.86/1.26 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBK'(
% 0.86/1.26 Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =(
% 0.86/1.26 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.86/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'c_COMBK'( Z, X
% 0.86/1.26 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.86/1.26 'tc_bool' ) ) ) ],
% 0.86/1.26 [ hBOOL( 'c_Order__Relation_Olinear__order__on'( X, Y, Z ) ), ~( hBOOL(
% 0.86/1.26 'c_Relation_Ototal__on'( X, Y, Z ) ) ), ~( hBOOL(
% 0.86/1.26 'c_Order__Relation_Opartial__order__on'( X, Y, Z ) ) ) ],
% 0.86/1.26 [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T ), Z ), ~(
% 0.86/1.26 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.86/1.26 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.86/1.26 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.86/1.26 ~( 'c_Relation_Orefl__on'( Y, X, Z ) ) ],
% 0.86/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.86/1.26 'tc_bool' ) ), X ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.86/1.26 'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 0.86/1.26 'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ),
% 0.86/1.26 'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ),
% 0.86/1.26 'tc_bool' ) ) ) ],
% 0.86/1.26 [ hBOOL( 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ =( 'c_Relation_OImage'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), U, Z, T ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U,
% 0.86/1.26 Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ =( 'c_Relation_OImage'( X,
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.86/1.26 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.86/1.26 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.86/1.26 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.86/1.26 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.86/1.26 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 0.86/1.26 [ =( 'c_Relation_ODomain'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.26 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.26 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.86/1.26 'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.26 'c_Relation_OImage'( 'c_Relation_Oconverse'( X, Z, T ),
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( U, 'tc_fun'( T, 'tc_bool' ) ), T, Z ),
% 0.86/1.26 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( 'c_Relation_OImage'(
% 0.86/1.26 'c_Relation_Oconverse'( Y, Z, T ), 'c_HOL_Ouminus__class_Ouminus'( U,
% 0.86/1.26 'tc_fun'( T, 'tc_bool' ) ), T, Z ), 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.86/1.26 Z, 'tc_bool' ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( Y, X, Z, T ), U
% 0.86/1.26 , 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ), 'c_Relation_Osym'( X,
% 0.86/1.26 Y ) ],
% 0.86/1.26 [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~( 'c_Relation_Osym'( X, Y
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.86/1.26 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X
% 0.86/1.26 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T, U )
% 0.86/1.26 , 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( T,
% 0.86/1.26 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ), ~(
% 0.86/1.26 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ),
% 0.86/1.26 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.86/1.26 'tc_fun'( T, 'tc_bool' ) ), T, U ) ],
% 0.86/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X,
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.86/1.26 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( T,
% 0.86/1.26 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.86/1.26 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.86/1.26 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ],
% 0.86/1.26 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.86/1.26 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) )
% 0.86/1.26 ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.86/1.26 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Product__Type_OSigma'( W,
% 0.86/1.26 'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'(
% 0.86/1.26 Z, T ), 'tc_bool' ) ) ) ],
% 0.86/1.26 [ =( hAPP( X, hAPP( 'c_Nat_Ocompow'( Y, X, Z, Z ), T ) ), hAPP(
% 0.86/1.26 'c_Nat_Ocompow'( Y, X, Z, Z ), hAPP( X, T ) ) ) ],
% 0.86/1.26 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.26 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ) ) ],
% 0.86/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.86/1.26 Z, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.86/1.26 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.86/1.26 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.86/1.26 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.26 'tc_bool' ) ), Y, Z ) ],
% 0.86/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.86/1.26 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.86/1.26 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.86/1.26 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), Z ) ) ) ],
% 0.86/1.26 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), Z ) ) ) ],
% 0.86/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.86/1.26 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.86/1.26 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T,
% 0.86/1.26 U, W ) ) ],
% 0.86/1.26 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.86/1.26 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.86/1.26 =( Y, Z ) ],
% 0.86/1.26 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.86/1.26 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.86/1.26 =( Y, Z ) ],
% 0.86/1.26 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.86/1.26 ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T
% 0.86/1.26 , U ) ) ) ],
% 0.86/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.86/1.26 ],
% 0.86/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.86/1.26 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.86/1.26 'c_lessequals'( Y, Z, X ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.86/1.26 'c_lessequals'( Z, Y, X ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.86/1.26 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.86/1.26 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.86/1.26 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.86/1.26 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.86/1.26 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.86/1.26 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.86/1.26 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.86/1.26 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.86/1.26 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.86/1.26 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.86/1.26 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.86/1.26 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.86/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.86/1.26 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.86/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.86/1.26 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~(
% 0.86/1.26 'c_Relation_Osym'( X, Y ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.86/1.26 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.86/1.26 'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X,
% 0.86/1.26 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.86/1.26 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.86/1.26 'tc_bool' ) ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.86/1.26 'c_Orderings_Otop__class_Otop'( X ) ) ), ~( =(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( X ) ) ), =(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.86/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.86/1.26 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.86/1.26 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 0.86/1.26 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.86/1.26 'tc_bool' ) ) ) ],
% 0.86/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 0.86/1.26 Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool'
% 0.86/1.26 ) ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.86/1.26 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.86/1.26 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.86/1.26 [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL( hAPP( Y, X ) )
% 0.86/1.26 ) ],
% 0.86/1.26 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X, Z ), Z ) )
% 0.86/1.26 ) ],
% 0.86/1.26 [ 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), ~(
% 0.86/1.26 'c_Relation_Orefl__on'( X, Y, Z ) ) ],
% 0.86/1.26 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X,
% 0.86/1.26 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.86/1.26 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.86/1.26 , 'tc_bool' ) ), T, Z ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Set_Ovimage'(
% 0.86/1.26 X, Y, T, Z ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ hBOOL( 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'(
% 0.86/1.26 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ), Y ) ), ~( hBOOL(
% 0.86/1.26 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.86/1.26 'c_Product__Type_OSigma'( W, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.86/1.26 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.86/1.26 Y, 'c_Product__Type_OSigma'( V1, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' )
% 0.86/1.26 , T ), T, U ), 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ) ) ), ~(
% 0.86/1.26 'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 'c_COMBK'( V1, 'tc_fun'(
% 0.86/1.26 T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) )
% 0.86/1.26 ],
% 0.86/1.26 [ hBOOL( 'c_Wellfounded_Owf'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.86/1.26 Z, Z ), 'tc_bool' ) ), Z ) ), ~( 'c_lessequals'( 'c_Relation_Orel__comp'(
% 0.86/1.26 X, Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ), ~(
% 0.86/1.26 hBOOL( 'c_Wellfounded_Owf'( Y, Z ) ) ), ~( hBOOL( 'c_Wellfounded_Owf'( X
% 0.86/1.26 , Z ) ) ) ],
% 0.86/1.26 [ hBOOL( 'c_Relation_Otrans'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.86/1.26 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ), ~( hBOOL(
% 0.86/1.26 'c_Relation_Otrans'( X, Y ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.86/1.26 'tc_bool' ) ), Y ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.86/1.26 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.86/1.26 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.26 'c_Relation_ODomain'( X, Y, Y ), 'c_Relation_ORange'( Z, Y, Y ), 'tc_fun'(
% 0.86/1.26 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.86/1.26 ) ) ) ), ~( hBOOL( 'c_Wellfounded_Owf'( Z, Y ) ) ), ~( hBOOL(
% 0.86/1.26 'c_Wellfounded_Owf'( X, Y ) ) ), hBOOL( 'c_Wellfounded_Owf'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.86/1.26 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.86/1.26 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ),
% 0.86/1.26 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 0.86/1.26 Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.86/1.26 [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 0.86/1.26 ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, Z ), Y, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.86/1.26 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.86/1.26 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'(
% 0.86/1.26 Z, 'tc_bool' ) ), Z ) ) ) ],
% 0.86/1.26 [ =( 'c_Product__Type_OSigma'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Product__Type_OSigma'( X
% 0.86/1.26 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.86/1.26 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.86/1.26 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), X, 'tc_fun'(
% 0.86/1.26 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( hBOOL( 'c_Relation_Otrans'( X, Y ) )
% 0.86/1.26 ) ],
% 0.86/1.26 [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z, T, U )
% 0.86/1.26 , Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~(
% 0.86/1.26 'c_Relation_Osingle__valued'( X, Z, T ) ) ],
% 0.86/1.26 [ 'c_Relation_Oantisym'( X, Y ), ~( hBOOL(
% 0.86/1.26 'c_Order__Relation_Opartial__order__on'( Z, X, Y ) ) ) ],
% 0.86/1.26 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.86/1.26 X ) ],
% 0.86/1.26 [ 'c_Relation_Orefl__on'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 'tc_fun'( 'tc_prod'(
% 0.86/1.26 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.86/1.26 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.86/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.86/1.26 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.86/1.26 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ 'c_Relation_Orefl__on'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.86/1.26 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( Y, X ), X ) ],
% 0.86/1.26 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y,
% 0.86/1.26 'tc_bool' ) ), Y ) ) ],
% 0.86/1.26 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( Y,
% 0.86/1.26 'tc_bool' ) ), Y ) ) ],
% 0.86/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.86/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, T, X ), hAPP(
% 0.86/1.26 Z, U ), X ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.86/1.26 X, Y, Z, 'tc_fun'( T, 'tc_bool' ) ), hAPP( Y, U ), 'tc_fun'( T, 'tc_bool'
% 0.86/1.26 ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.86/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.86/1.26 X, 'tc_bool' ) ), Y ) ],
% 0.86/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.86/1.26 'tc_bool' ) ), X ) ],
% 0.86/1.26 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.86/1.26 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.86/1.26 [ =( 'c_Order__Relation_Olinear__order__on'( 'v_A', 'v_r', 't_a' ),
% 0.86/1.26 'c_and'( 'c_Order__Relation_Opartial__order__on'( 'v_A', 'v_r', 't_a' ),
% 0.86/1.26 'c_Relation_Ototal__on'( 'v_A', 'v_r', 't_a' ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, T, 'tc_fun'(
% 0.86/1.26 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Otop__class_Otop'(
% 0.86/1.26 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.86/1.26 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.86/1.26 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 0.86/1.26 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.86/1.26 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.86/1.26 ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y ), 'tc_fun'( Y,
% 0.86/1.26 'tc_bool' ) ) ), ~( hBOOL( 'c_Wellfounded_Owf'( Z, Y ) ) ) ],
% 0.86/1.26 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.86/1.26 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.86/1.26 [ 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.86/1.26 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'( X ), X )
% 0.86/1.26 , 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.86/1.26 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'(
% 0.86/1.26 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.86/1.26 ) ), Y ) ) ) ],
% 0.86/1.26 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.86/1.26 =( 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'c_Set_Oimage'( X,
% 0.86/1.26 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ),
% 0.86/1.26 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ hBOOL( 'c_Relation_Otrans'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.86/1.26 Z, Z ), 'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_Relation_Otrans'( Y, Z ) ) ),
% 0.86/1.26 ~( hBOOL( 'c_Relation_Otrans'( X, Z ) ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.86/1.26 [ 'c_Relation_Oantisym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 0.86/1.26 ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.86/1.26 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.86/1.26 ) ) ), ~( =( 'c_Relation_Orel__comp'( T, Y, Z, Z, Z ),
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.86/1.26 ) ) ), =( 'c_Relation_Orel__comp'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( 'tc_prod'(
% 0.86/1.26 Z, Z ), 'tc_bool' ) ), Y, Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.26 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.86/1.26 ) ) ), ~( =( 'c_Relation_Orel__comp'( X, T, Z, Z, Z ),
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.86/1.26 ) ) ), =( 'c_Relation_Orel__comp'( X,
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( 'tc_prod'(
% 0.86/1.26 Z, Z ), 'tc_bool' ) ), Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.26 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.86/1.26 , X ) ) ), =( Y, Z ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.86/1.26 , X ) ) ), =( Y, Z ) ],
% 0.86/1.26 [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.86/1.26 Z ) ],
% 0.86/1.26 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.86/1.26 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.86/1.26 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.86/1.26 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.86/1.26 [ 'c_Wellfounded_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.86/1.26 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.86/1.26 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.86/1.26 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.86/1.26 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.86/1.26 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.86/1.26 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.86/1.26 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.86/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.86/1.26 'c_lessequals'( Z, Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.86/1.26 'c_lessequals'( Y, Z, X ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.86/1.26 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.86/1.26 ],
% 0.86/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.86/1.26 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.86/1.26 ],
% 0.86/1.26 [ 'c_Relation_Orefl__on'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.26 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( T, U, 'tc_fun'( 'tc_prod'(
% 0.86/1.26 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.86/1.26 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.86/1.26 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 0.86/1.26 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.86/1.26 [ 'c_Relation_Oantisym'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.26 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.86/1.26 [ =( 'c_Relation_ORange'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.26 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.26 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.86/1.26 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y )
% 0.86/1.26 , Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.86/1.26 X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 0.86/1.26 ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.86/1.26 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.86/1.26 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.26 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.86/1.26 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y
% 0.86/1.26 ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.86/1.26 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.86/1.26 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 0.86/1.26 , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.86/1.26 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL(
% 0.86/1.26 'c_in'( X, T, Y ) ) ],
% 0.86/1.26 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.86/1.26 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 0.86/1.26 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.86/1.26 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'(
% 0.86/1.26 Y, 'tc_bool' ) ), Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.86/1.26 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.86/1.26 'c_Finite__Set_Ofinite'( X, Y ) ) ],
% 0.86/1.26 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.86/1.26 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.86/1.26 Y, Y ) ) ],
% 0.86/1.26 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.86/1.26 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.26 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.86/1.26 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.26 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.86/1.26 [ ~( 'class_HOL_Ouminus'( 't_b' ) ), =( hAPP(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( 'v_A', 'tc_fun'( 't_a', 't_b' ) ), 'v_x'
% 0.86/1.26 ), 'c_HOL_Ouminus__class_Ouminus'( hAPP( 'v_A', 'v_x' ), 't_b' ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'(
% 0.86/1.26 'c_Relation_Oconverse'( 'v_r', 't_a', 't_b' ), 't_b', 't_a' ) ) ],
% 0.86/1.26 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.26 'tc_bool' ) ), Y ) ) ) ],
% 0.86/1.26 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.26 'tc_bool' ) ), Y ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.26 'tc_bool' ) ), Y ) ) ) ],
% 0.86/1.26 [ 'c_Relation_Orefl__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.86/1.26 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X
% 0.86/1.26 ), 'tc_bool' ) ), X ) ],
% 0.86/1.26 [ hBOOL( 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'(
% 0.86/1.26 'tc_fun'( X, 'tc_bool' ) ), Y, X ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.86/1.26 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.86/1.26 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.86/1.26 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ =( 'c_Relation_Oconverse'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.86/1.26 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Oconverse'( X,
% 0.86/1.26 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.86/1.26 'tc_bool' ) ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.86/1.26 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.86/1.26 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.86/1.26 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.86/1.26 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.86/1.26 [ =( 'c_Product__Type_OSigma'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.86/1.26 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.86/1.26 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U,
% 0.86/1.26 Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 0.86/1.26 , 'tc_bool' ) ) ) ],
% 0.86/1.26 [ =( 'c_Relation_Oconverse'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.86/1.26 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_Oconverse'( X,
% 0.86/1.26 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.86/1.26 'tc_bool' ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.86/1.26 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.86/1.26 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.86/1.26 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.86/1.26 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.86/1.26 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.86/1.26 [ =( 'c_Relation_Orel__comp'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.86/1.26 Z, T ), 'tc_bool' ) ), U, Z, T, W ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.86/1.26 , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'(
% 0.86/1.26 'tc_prod'( Z, W ), 'tc_bool' ) ) ) ],
% 0.86/1.26 [ =( 'c_Relation_Orel__comp'( X,
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.86/1.26 T, U ), 'tc_bool' ) ), W, T, U ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.86/1.26 , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'(
% 0.86/1.26 'tc_prod'( W, U ), 'tc_bool' ) ) ) ],
% 0.86/1.26 [ 'c_Relation_Osingle__valued'( 'c_Nat_Ocompow'( X, Y, 'tc_prod'( Z, Z )
% 0.86/1.26 , 'tc_bool' ), Z, Z ), ~( 'c_Relation_Osingle__valued'( Y, Z, Z ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.86/1.26 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.86/1.26 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.86/1.26 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.26 Z, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.86/1.26 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.26 T, Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.86/1.26 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.86/1.26 'c_lessequals'( Z, T, X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.86/1.26 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.26 Z, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.86/1.26 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.26 T, Z, X ), X ) ) ],
% 0.86/1.26 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.86/1.26 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.86/1.26 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.86/1.26 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.86/1.26 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.86/1.26 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.86/1.26 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y,
% 0.86/1.26 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.86/1.26 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y,
% 0.86/1.26 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, Z,
% 0.86/1.26 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.86/1.26 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Otop__class_Otop'(
% 0.86/1.26 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 0.86/1.26 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 0.86/1.26 , V3, V4, U ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 0.86/1.26 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 0.86/1.26 , V3, V4, U ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.86/1.26 , X ), X ), X ) ) ],
% 0.86/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.86/1.26 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.86/1.26 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.86/1.26 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.86/1.26 Z, 'tc_bool' ) ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.86/1.26 , X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.86/1.26 , X ), X ) ) ],
% 0.86/1.26 [ =( 'c_Relation_ODomain'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.26 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.86/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 0.86/1.27 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ =( 'c_Relation_Orel__comp'( X, 'c_Nat_Ocompow'( Y, X, 'tc_prod'( Z, Z
% 0.86/1.27 ), 'tc_bool' ), Z, Z, Z ), 'c_Relation_Orel__comp'( 'c_Nat_Ocompow'( Y,
% 0.86/1.27 X, 'tc_prod'( Z, Z ), 'tc_bool' ), X, Z, Z, Z ) ) ],
% 0.86/1.27 [ =( 'c_Product__Type_OSigma'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.27 X, 'tc_bool' ) ), Y, X, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.27 'tc_prod'( X, Z ), 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ) ) ],
% 0.86/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.86/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.86/1.27 [ ~( =( 'c_Relation_ODomain'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.27 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.27 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.27 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.86/1.27 ) ), Z, X ) ) ],
% 0.86/1.27 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.27 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.86/1.27 Z, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.86/1.27 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.86/1.27 , X ), X ) ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.86/1.27 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.86/1.27 , X ), X ) ) ],
% 0.86/1.27 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.86/1.27 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.86/1.27 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.86/1.27 ) ) ) ],
% 0.86/1.27 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.86/1.27 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 0.86/1.27 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y,
% 0.86/1.27 Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.86/1.27 'c_Relation_Osym'( X, Y ) ) ],
% 0.86/1.27 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'(
% 0.86/1.27 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.86/1.27 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.86/1.27 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.86/1.27 ) ), Y ) ],
% 0.86/1.27 [ hBOOL( 'c_Order__Relation_Owell__order__on'(
% 0.86/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 0.86/1.27 ), X ) ) ],
% 0.86/1.27 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.86/1.27 Y, X ) ],
% 0.86/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'c_Collect'( T, Z ),
% 0.86/1.27 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ],
% 0.86/1.27 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.86/1.27 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 0.86/1.27 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ 'c_lessequals'( 'c_Relation_ORange'(
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.86/1.27 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ORange'( X, Z,
% 0.86/1.27 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.86/1.27 T, 'tc_bool' ) ) ],
% 0.86/1.27 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.27 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.86/1.27 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.86/1.27 'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.86/1.27 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.86/1.27 [ ~( =( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ),
% 0.86/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.86/1.27 ) ) ), hBOOL( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.86/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.86/1.27 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.86/1.27 'tc_bool' ) ), Y ) ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.86/1.27 'tc_bool' ) ), Y ) ) ) ],
% 0.86/1.27 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'(
% 0.86/1.27 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.86/1.27 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.27 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y )
% 0.86/1.27 , 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.86/1.27 ) ) ), ~( 'c_lessequals'( 'c_Relation_OId'( Y ), Z, 'tc_fun'( 'tc_prod'(
% 0.86/1.27 Y, Y ), 'tc_bool' ) ) ) ],
% 0.86/1.27 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'(
% 0.86/1.27 X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.86/1.27 , Z ) ) ],
% 0.86/1.27 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ), Z, T ) ) ],
% 0.86/1.27 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ), Z, T ) ) ],
% 0.86/1.27 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.86/1.27 ), ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.86/1.27 , 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.86/1.27 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.86/1.27 ) ) ), 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.86/1.27 , 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Wellfounded_Owf'(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.86/1.27 Z, Z ), 'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_Wellfounded_Owf'(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.86/1.27 , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'(
% 0.86/1.27 'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.86/1.27 'tc_bool' ) ), Z ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Wellfounded_Owf'(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.86/1.27 , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'(
% 0.86/1.27 'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.86/1.27 'tc_bool' ) ), Y ) ), ~( hBOOL( 'c_Wellfounded_Owf'(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.86/1.27 Y, Y ), 'tc_bool' ) ), Y ) ) ) ],
% 0.86/1.27 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 0.86/1.27 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.86/1.27 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.86/1.27 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), U, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( X, U, Z, T ),
% 0.86/1.27 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~( hBOOL(
% 0.86/1.27 'c_Relation_Otrans'( X, Y ) ) ) ],
% 0.86/1.27 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.86/1.27 'c_Relation_Osym'( X, Y ) ) ],
% 0.86/1.27 [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X
% 0.86/1.27 , Y, Y ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.86/1.27 'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 0.86/1.27 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.86/1.27 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.86/1.27 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.86/1.27 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.86/1.27 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.86/1.27 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.86/1.27 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.86/1.27 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.86/1.27 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.86/1.27 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.86/1.27 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'(
% 0.86/1.27 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'(
% 0.86/1.27 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.86/1.27 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.86/1.27 ), Y ) ],
% 0.86/1.27 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.86/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.86/1.27 ), Y ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.86/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.86/1.27 ) ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.86/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.86/1.27 ) ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.86/1.27 ), Y ) ],
% 0.86/1.27 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.86/1.27 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Ovimage'( X, Y, U, T
% 0.86/1.27 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.27 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.86/1.27 ) ],
% 0.86/1.27 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.27 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 0.86/1.27 ) ],
% 0.86/1.27 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.86/1.27 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.27 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.86/1.27 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.27 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.86/1.27 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.27 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.86/1.27 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.27 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.86/1.27 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.86/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.86/1.27 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.86/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.86/1.27 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.86/1.27 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.86/1.27 [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( X ), X ) ],
% 0.86/1.27 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( X ), Y, X ), Y ) ],
% 0.86/1.27 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( X ), X ), Y ) ],
% 0.86/1.27 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.86/1.27 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.86/1.27 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.86/1.27 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.86/1.27 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.86/1.27 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.86/1.27 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.86/1.27 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.86/1.27 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_Product__Type_OSigma'(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( X
% 0.86/1.27 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.86/1.27 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.86/1.27 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.86/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.86/1.27 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ) ) ],
% 0.86/1.27 [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.27 Y, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ouminus__class_Ouminus'( hAPP(
% 0.86/1.27 Y, 'v_x' ), X ) ) ],
% 0.86/1.27 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.86/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 0.86/1.27 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.86/1.27 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.86/1.27 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.86/1.27 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.86/1.27 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.86/1.27 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.86/1.27 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.27 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.86/1.27 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.86/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( X ), X )
% 0.86/1.27 , 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.86/1.27 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'(
% 0.86/1.27 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.86/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.86/1.27 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( hAPP( 'c_Order__Relation_Ostrict__linear__order__on'( 'v_A', 't_a'
% 0.86/1.27 ), 'v_r' ), 'c_and'( 'c_Relation_Otrans'( 'v_r', 't_a' ), 'c_and'(
% 0.86/1.27 'c_Relation_Oirrefl'( 'v_r', 't_a' ), 'c_Relation_Ototal__on'( 'v_A',
% 0.86/1.27 'v_r', 't_a' ) ) ) ) ],
% 0.86/1.27 [ =( 'c_Relation_OImage'( X,
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.86/1.27 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.27 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.86/1.27 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'(
% 0.86/1.27 'c_Relation_Oconverse'( X, T, U ), U, T ) ) ],
% 0.86/1.27 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.27 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.86/1.27 , Z, V2, Y ) ) ],
% 0.86/1.27 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.27 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.86/1.27 , V2, Z, Y ) ) ],
% 0.86/1.27 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.86/1.27 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.86/1.27 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.86/1.27 [ =( 'c_Relation_ORange'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.27 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z,
% 0.86/1.27 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( 'c_Order__Relation_Ostrict__linear__order__on'( X, Y ), Z
% 0.86/1.27 ) ), ~( hBOOL( 'c_Relation_Ototal__on'( X, Z, Y ) ) ), ~( hBOOL(
% 0.86/1.27 'c_Relation_Oirrefl'( Z, Y ) ) ), ~( hBOOL( 'c_Relation_Otrans'( Z, Y ) )
% 0.86/1.27 ) ],
% 0.86/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.86/1.27 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.86/1.27 'tc_bool' ) ), X ) ],
% 0.86/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.86/1.27 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.86/1.27 Y, X ), Z, X ) ) ],
% 0.86/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.86/1.27 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.27 T, X ), Z, X ) ) ],
% 0.86/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.86/1.27 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.86/1.27 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.86/1.27 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.86/1.27 Y, X ), Z, X ) ) ],
% 0.86/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.86/1.27 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.27 T, X ), Z, X ) ) ],
% 0.86/1.27 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_Relation_ODomain'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.86/1.27 'c_Relation_ORange'( X, Y, Z ) ) ],
% 0.86/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 0.86/1.27 ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 0.86/1.27 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.86/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.86/1.27 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.86/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.86/1.27 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.86/1.27 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.86/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.86/1.27 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.86/1.27 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.86/1.27 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ) ) ],
% 0.86/1.27 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.86/1.27 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.86/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~(
% 0.86/1.27 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.86/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.86/1.27 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.86/1.27 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.86/1.27 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.86/1.27 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) )
% 0.86/1.27 ],
% 0.86/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.86/1.27 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.86/1.27 [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~(
% 0.86/1.27 'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T,
% 0.86/1.27 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.86/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.86/1.27 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~(
% 0.86/1.27 hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, X
% 0.86/1.27 , U, 'tc_fun'( W, 'tc_bool' ) ), Z ) ) ) ],
% 0.86/1.27 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( hAPP( hAPP( T, X ), U ) ), ~(
% 0.86/1.27 hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, T
% 0.86/1.27 , Z, 'tc_fun'( W, 'tc_bool' ) ), U ) ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~(
% 0.86/1.27 hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, X
% 0.86/1.27 , U, 'tc_fun'( W, 'tc_bool' ) ), Z ) ) ) ],
% 0.86/1.27 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 0.86/1.27 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 0.86/1.27 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 0.86/1.27 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 0.86/1.27 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.27 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.27 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.86/1.27 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.27 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.86/1.27 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.86/1.27 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.86/1.27 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.27 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.86/1.27 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.86/1.27 T, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.86/1.27 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.86/1.27 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.86/1.27 ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'(
% 0.86/1.27 Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, Z, 'tc_fun'(
% 0.86/1.27 U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.86/1.27 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.86/1.27 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.27 'c_Set_Oimage'( X, Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T,
% 0.86/1.27 'tc_bool' ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 0.86/1.27 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 0.86/1.27 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.86/1.27 ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.86/1.27 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.86/1.27 'c_Collect'( Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Z
% 0.86/1.27 , X ) ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.86/1.27 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( X, Y ),
% 0.86/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, X, T, 'tc_fun'(
% 0.86/1.27 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.86/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, X, T, 'tc_fun'(
% 0.86/1.27 U, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.86/1.27 [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.86/1.27 T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.86/1.27 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.86/1.27 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.27 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.86/1.27 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.86/1.27 T, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.86/1.27 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( hBOOL(
% 0.86/1.27 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ hBOOL( 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ),
% 0.86/1.27 Z ) ), ~( hBOOL( 'c_Relation_Ototal__on'( X, Y, Z ) ) ) ],
% 0.86/1.27 [ =( 'c_Product__Type_OSigma'( X, 'c_COMBK'(
% 0.86/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.86/1.27 'tc_bool' ), Z ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.27 'tc_prod'( Z, Y ), 'tc_bool' ) ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 0.86/1.27 X, T, U ), Z ) ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 0.86/1.27 hAPP( X, U ) ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Order__Relation_Opartial__order__on'( X,
% 0.86/1.27 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ), ~( hBOOL(
% 0.86/1.27 'c_Order__Relation_Opartial__order__on'( X, Y, Z ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Order__Relation_Opartial__order__on'( X, Y, Z ) ), ~( hBOOL(
% 0.86/1.27 'c_Order__Relation_Opartial__order__on'( X, 'c_Relation_Oconverse'( Y, Z
% 0.86/1.27 , Z ), Z ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.86/1.27 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~(
% 0.86/1.27 hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.86/1.27 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~(
% 0.86/1.27 hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.86/1.27 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.86/1.27 hAPP( X, T ) ) ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.86/1.27 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.86/1.27 , X ), X ), X ) ) ],
% 0.86/1.27 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.86/1.27 'c_in'( X, T, Y ) ) ) ],
% 0.86/1.27 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.86/1.27 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ) ) ],
% 0.86/1.27 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.86/1.27 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.86/1.27 'tc_bool' ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Order__Relation_Olinear__order__on'(
% 0.86/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 0.86/1.27 ), X ) ) ],
% 0.86/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 0.86/1.27 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 0.86/1.27 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.86/1.27 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.27 ) ],
% 0.86/1.27 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.86/1.27 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.86/1.27 ) ), Y ) ],
% 0.86/1.27 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.86/1.27 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.86/1.27 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.27 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Orderings_Obot__class_Obot'(
% 0.86/1.27 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ),
% 0.86/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 0.86/1.27 ) ) ],
% 0.86/1.27 [ ~( =( 'c_Relation_ORange'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.27 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.27 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.86/1.27 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), 'c_Relation_OImage'(
% 0.86/1.27 U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, W,
% 0.86/1.27 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 'tc_fun'(
% 0.86/1.27 'tc_prod'( Z, T ), 'tc_bool' ) ) ) ],
% 0.86/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.86/1.27 Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'(
% 0.86/1.27 Y, Z, X ) ) ) ],
% 0.86/1.27 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 0.86/1.27 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.86/1.27 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.86/1.27 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.86/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.86/1.27 'c_lessequals'( Z, Y, X ) ],
% 0.86/1.27 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.86/1.27 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.86/1.27 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( X ), Y, X ),
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.86/1.27 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( X ), X ), 'c_Orderings_Otop__class_Otop'(
% 0.86/1.27 X ) ) ],
% 0.86/1.27 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 0.86/1.27 [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.86/1.27 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.86/1.27 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.86/1.27 'tc_bool' ) ), X ) ],
% 0.86/1.27 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.86/1.27 X, 'tc_bool' ) ), Y ) ],
% 0.86/1.27 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.86/1.27 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 0.86/1.27 Y, Z ) ],
% 0.86/1.27 [ hBOOL( 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.86/1.27 'tc_bool' ) ), Y ) ) ],
% 0.86/1.27 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.86/1.27 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.27 ) ],
% 0.86/1.27 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.86/1.27 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.86/1.27 ) ) ) ],
% 0.86/1.27 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.86/1.27 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.27 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.86/1.27 , Z, V2, Y ) ) ],
% 0.86/1.27 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.27 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.86/1.27 , V2, Z, Y ) ) ],
% 0.86/1.27 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.86/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.86/1.27 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.27 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z
% 0.86/1.27 , 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.86/1.27 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.86/1.27 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.86/1.27 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.86/1.27 'tc_bool' ) ), T, U ) ) ],
% 0.86/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.86/1.27 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.86/1.27 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.86/1.27 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.86/1.27 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.86/1.27 Z, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.86/1.27 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.27 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.86/1.27 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.27 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.86/1.27 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.86/1.27 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.86/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.86/1.27 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.86/1.27 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.86/1.27 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.86/1.27 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.86/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.27 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.86/1.27 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.86/1.27 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.86/1.27 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.86/1.27 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 0.86/1.27 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.86/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.86/1.27 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 0.86/1.27 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.86/1.27 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.86/1.27 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.86/1.27 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.86/1.27 ],
% 0.86/1.27 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.86/1.27 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.86/1.27 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.86/1.27 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.86/1.27 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.86/1.27 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.86/1.27 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.86/1.27 , T ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.86/1.27 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.86/1.27 , T ) ) ) ],
% 0.86/1.27 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.27 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.86/1.27 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.27 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.86/1.27 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.86/1.27 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.86/1.27 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.27 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.27 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.27 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.27 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.86/1.27 Z, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Wellfounded_Owf'( 'c_Wellfounded_Omeasure'( X, Y ), Y ) ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ hBOOL( 'c_Wellfounded_Owf'( X, Y ) ), ~( 'c_lessequals'( X, Z,
% 0.86/1.27 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( hBOOL(
% 0.86/1.27 'c_Wellfounded_Owf'( Z, Y ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Wellfounded_Owf'(
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.86/1.27 Z, Z ), 'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_Wellfounded_Owf'( Y, Z ) ) ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ hBOOL( 'c_Wellfounded_Owf'(
% 0.86/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.86/1.27 Z, Z ), 'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_Wellfounded_Owf'( X, Z ) ) ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ hBOOL( 'c_Wellfounded_Owf'( X, Y ) ), ~( hBOOL( 'c_Wellfounded_Owf'(
% 0.86/1.27 'c_Nat_Ocompow'( Z, X, 'tc_prod'( Y, Y ), 'tc_bool' ), Y ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Wellfounded_Owf'( 'c_List_Omeasures'( X, Y ), Y ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.86/1.27 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, Z, T ) ) ) ), ~(
% 0.86/1.27 hBOOL( 'c_Wellfounded_Owf'( Z, T ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Wellfounded_Owf'( 'c_Wellfounded_Omlex__prod'( X, Y, Z ), Z
% 0.86/1.27 ) ), ~( hBOOL( 'c_Wellfounded_Owf'( Y, Z ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 0.86/1.27 ) ), ~( hBOOL( 'c_Wellfounded_Owf'( X, Y ) ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.86/1.27 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, Z, T ) ) ) ),
% 0.86/1.27 ~( hBOOL( 'c_Wellfounded_Owf'( Z, T ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T
% 0.86/1.27 ) ), ~( hBOOL( 'c_Wellfounded_Owf'( X, Z ) ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.86/1.27 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, Z, T ) ) ) ), ~( hBOOL(
% 0.86/1.27 'c_Wellfounded_Owf'( Z, T ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Wellfounded_Owf'( X, Y ) ), ~( hBOOL( 'c_Wellfounded_Owf'(
% 0.86/1.27 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ),
% 0.86/1.27 Y ) ), ~( hBOOL( 'c_Wellfounded_Owf'( X, Y ) ) ) ],
% 0.86/1.27 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( hBOOL( 'c_Wellfounded_Owf'( X, Y
% 0.86/1.27 ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Wellfounded_Owf'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.27 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.86/1.27 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, Z, T ) ) )
% 0.86/1.27 ), ~( hBOOL( 'c_Wellfounded_Owf'( Z, T ) ) ) ],
% 0.86/1.27 [ 'c_Relation_Orefl__on'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.86/1.27 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.27 'c_Relation_OId'( X ), 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.86/1.27 'tc_fun'( Z, 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ),
% 0.86/1.27 Z, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Product__Type_OSigma'( X,
% 0.86/1.27 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.86/1.27 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.86/1.27 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.86/1.27 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ORange'( X,
% 0.86/1.27 Y, Z ), 'c_Relation_ORange'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.27 'c_Relation_ORange'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.86/1.27 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ODomain'( X
% 0.86/1.27 , Y, Z ), 'c_Relation_ODomain'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.86/1.27 'c_Relation_ODomain'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.86/1.27 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ hBOOL( 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ) ],
% 0.86/1.27 [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 0.86/1.27 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X ),
% 0.86/1.27 'c_Relation_OId'( X ) ) ],
% 0.86/1.27 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ],
% 0.86/1.27 [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 0.86/1.27 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 0.86/1.27 [ hBOOL( 'c_Relation_Otrans'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.86/1.27 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) )
% 0.86/1.27 , ~( 'c_Relation_Oantisym'( X, Y ) ), ~( hBOOL( 'c_Relation_Otrans'( X, Y
% 0.86/1.27 ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Order__Relation_Olinear__order__on'( X, Y, Z ) ), ~( hBOOL(
% 0.86/1.27 'c_Order__Relation_Olinear__order__on'( X, 'c_Relation_Oconverse'( Y, Z,
% 0.86/1.27 Z ), Z ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Order__Relation_Olinear__order__on'( X,
% 0.86/1.27 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ), ~( hBOOL(
% 0.86/1.27 'c_Order__Relation_Olinear__order__on'( X, Y, Z ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Order__Relation_Olinear__order__on'( X, Y, Z ) ), ~( hBOOL(
% 0.86/1.27 'c_Order__Relation_Owell__order__on'( X, Y, Z ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( hBOOL(
% 0.86/1.27 'c_Order__Relation_Olinear__order__on'( X, Y, Z ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Order__Relation_Opartial__order__on'( X, Y, Z ) ), ~( hBOOL(
% 0.86/1.27 'c_Order__Relation_Olinear__order__on'( X, Y, Z ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Relation_Otrans'( X, Y ) ), ~( hBOOL( hAPP(
% 0.86/1.27 'c_Order__Relation_Ostrict__linear__order__on'( Z, Y ), X ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Relation_Oirrefl'( X, Y ) ), ~( hBOOL( hAPP(
% 0.86/1.27 'c_Order__Relation_Ostrict__linear__order__on'( Z, Y ), X ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( hBOOL( hAPP(
% 0.86/1.27 'c_Order__Relation_Ostrict__linear__order__on'( X, Z ), Y ) ) ) ],
% 0.86/1.27 [ =( 'c_Order__Relation_Owell__order__on'( 'v_A', 'v_r', 't_a' ),
% 0.86/1.27 'c_and'( 'c_Order__Relation_Olinear__order__on'( 'v_A', 'v_r', 't_a' ),
% 0.86/1.27 'c_Wellfounded_Owf'( 'c_HOL_Ominus__class_Ominus'( 'v_r',
% 0.86/1.27 'c_Relation_OId'( 't_a' ), 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool'
% 0.86/1.27 ) ), 't_a' ) ) ) ],
% 0.86/1.27 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.86/1.27 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.86/1.27 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.86/1.27 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.86/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.86/1.27 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Otop__class_Otop'(
% 0.86/1.27 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Otop__class_Otop'( X ) ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Otop__class_Otop'(
% 0.86/1.27 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.86/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.86/1.27 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y
% 0.86/1.27 , 'tc_bool' ) ), X, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ 'c_Relation_Orefl__on'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.86/1.27 'tc_bool' ) ), 'c_Relation_OId'( X ), X ) ],
% 0.86/1.27 [ =( 'c_Relation_ORange'( 'c_Relation_OId'( X ), X, X ),
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_Relation_ODomain'( 'c_Relation_OId'( X ), X, X ),
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.86/1.27 'tc_fun'( Z, 'tc_bool' ) ), T, Z, U ), 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.27 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.86/1.27 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Relation_Ototal__on'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.86/1.27 'c_Relation_OId'( Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) )
% 0.86/1.27 , ~( hBOOL( 'c_Relation_Ototal__on'( X, Y, Z ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( hBOOL(
% 0.86/1.27 'c_Relation_Ototal__on'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.86/1.27 'c_Relation_OId'( Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) )
% 0.86/1.27 ) ],
% 0.86/1.27 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.86/1.27 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.86/1.27 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Relation_Oirrefl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.86/1.27 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) )
% 0.86/1.27 ],
% 0.86/1.27 [ =( 'c_Arrow__Order__Mirabelle_OLin', 'c_Collect'(
% 0.86/1.27 'c_Order__Relation_Ostrict__linear__order__on'(
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.86/1.27 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 0.86/1.27 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_fun'( 'tc_prod'(
% 0.86/1.27 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.86/1.27 'tc_bool' ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Wellfounded_Owf'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.86/1.27 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) )
% 0.86/1.27 , ~( hBOOL( 'c_Order__Relation_Owell__order__on'( Z, X, Y ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Order__Relation_Owell__order__on'( X, Y, Z ) ), ~( hBOOL(
% 0.86/1.27 'c_Wellfounded_Owf'( 'c_HOL_Ominus__class_Ominus'( Y, 'c_Relation_OId'( Z
% 0.86/1.27 ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) ) ), ~( hBOOL(
% 0.86/1.27 'c_Order__Relation_Olinear__order__on'( X, Y, Z ) ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.86/1.27 ), Y ) ) ],
% 0.86/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.86/1.27 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.27 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.86/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.86/1.27 , T, X ) ) ), =( Y, Z ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.86/1.27 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.86/1.27 , T, X ) ) ), =( Z, T ) ],
% 0.86/1.27 [ hBOOL( hAPP( 'c_Order__Relation_Ostrict__linear__order__on'( X, Y ),
% 0.86/1.27 'c_HOL_Ominus__class_Ominus'( Z, 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.86/1.27 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ), ~( hBOOL(
% 0.86/1.27 'c_Order__Relation_Olinear__order__on'( X, Z, Y ) ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Order__Relation_Olinear__order__on'(
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.86/1.27 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'v_r',
% 0.86/1.27 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.86/1.27 [ hBOOL( 'c_Wellfounded_Owf'( 'c_HOL_Ominus__class_Ominus'( 'v_r',
% 0.86/1.27 'c_Relation_OId'( 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_fun'(
% 0.86/1.27 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.86/1.27 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 0.86/1.27 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.86/1.27 [ ~( hBOOL( hAPP( 'c_Order__Relation_Ostrict__linear__order__on'(
% 0.86/1.27 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.86/1.27 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 0.86/1.27 'tc_Arrow__Order__Mirabelle_Oalt' ), X ) ) ) ],
% 0.86/1.27 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 0.86/1.27 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.86/1.27 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.86/1.27 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.27 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.86/1.27 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.27 'class_Lattices_Olattice'( Y ) ) ],
% 0.86/1.27 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.27 'class_Lattices_Olattice'( Y ) ) ],
% 0.86/1.27 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.27 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.86/1.27 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.27 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.86/1.27 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.27 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.86/1.27 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.27 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.86/1.27 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.86/1.27 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.27 'class_Orderings_Opreorder'( Y ) ) ],
% 0.86/1.27 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.27 'class_Lattices_Olattice'( Y ) ) ],
% 0.86/1.27 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.27 'class_Orderings_Oorder'( Y ) ) ],
% 0.86/1.27 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 0.86/1.27 Y ) ) ],
% 0.86/1.27 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.86/1.27 Y ) ) ],
% 0.86/1.27 [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ouminus'( Y ) )
% 0.86/1.27 ],
% 0.86/1.27 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.86/1.27 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.86/1.27 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.86/1.27 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.86/1.27 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.86/1.27 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.86/1.27 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.86/1.27 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.86/1.27 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.86/1.27 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.86/1.27 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 0.86/1.27 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.86/1.27 [ 'class_HOL_Ouminus'( 'tc_bool' ) ],
% 0.86/1.27 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.86/1.27 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.86/1.27 [ 'c_fequal'( X, X, Y ) ],
% 0.86/1.27 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.86/1.27 ] .
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 percentage equality = 0.288038, percentage horn = 0.985481
% 0.86/1.27 This is a problem with some equality
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Options Used:
% 0.86/1.27
% 0.86/1.27 useres = 1
% 0.86/1.27 useparamod = 1
% 0.86/1.27 useeqrefl = 1
% 0.86/1.27 useeqfact = 1
% 0.86/1.27 usefactor = 1
% 0.86/1.27 usesimpsplitting = 0
% 0.86/1.27 usesimpdemod = 5
% 0.86/1.27 usesimpres = 3
% 0.86/1.27
% 0.86/1.27 resimpinuse = 1000
% 0.86/1.27 resimpclauses = 20000
% 0.86/1.27 substype = eqrewr
% 0.86/1.27 backwardsubs = 1
% 0.86/1.27 selectoldest = 5
% 0.86/1.27
% 0.86/1.27 litorderings [0] = split
% 0.86/1.27 litorderings [1] = extend the termordering, first sorting on arguments
% 2.58/2.96
% 2.58/2.96 termordering = kbo
% 2.58/2.96
% 2.58/2.96 litapriori = 0
% 2.58/2.96 termapriori = 1
% 2.58/2.96 litaposteriori = 0
% 2.58/2.96 termaposteriori = 0
% 2.58/2.96 demodaposteriori = 0
% 2.58/2.96 ordereqreflfact = 0
% 2.58/2.96
% 2.58/2.96 litselect = negord
% 2.58/2.96
% 2.58/2.96 maxweight = 15
% 2.58/2.96 maxdepth = 30000
% 2.58/2.96 maxlength = 115
% 2.58/2.96 maxnrvars = 195
% 2.58/2.96 excuselevel = 1
% 2.58/2.96 increasemaxweight = 1
% 2.58/2.96
% 2.58/2.96 maxselected = 10000000
% 2.58/2.96 maxnrclauses = 10000000
% 2.58/2.96
% 2.58/2.96 showgenerated = 0
% 2.58/2.96 showkept = 0
% 2.58/2.96 showselected = 0
% 2.58/2.96 showdeleted = 0
% 2.58/2.96 showresimp = 1
% 2.58/2.96 showstatus = 2000
% 2.58/2.96
% 2.58/2.96 prologoutput = 1
% 2.58/2.96 nrgoals = 5000000
% 2.58/2.96 totalproof = 1
% 2.58/2.96
% 2.58/2.96 Symbols occurring in the translation:
% 2.58/2.96
% 2.58/2.96 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.58/2.96 . [1, 2] (w:1, o:102, a:1, s:1, b:0),
% 2.58/2.96 ! [4, 1] (w:0, o:73, a:1, s:1, b:0),
% 2.58/2.96 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.58/2.96 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.58/2.96 'c_Transitive__Closure_Ortrancl' [41, 2] (w:1, o:127, a:1, s:1, b:0)
% 2.58/2.96 ,
% 2.58/2.96 'c_Relation_Orel__comp' [42, 5] (w:1, o:175, a:1, s:1, b:0),
% 2.58/2.96 'c_Relation_Oantisym' [43, 2] (w:1, o:128, a:1, s:1, b:0),
% 2.58/2.96 'c_Relation_OId' [44, 1] (w:1, o:78, a:1, s:1, b:0),
% 2.58/2.96 'tc_prod' [45, 2] (w:1, o:129, a:1, s:1, b:0),
% 2.58/2.96 'tc_bool' [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 2.58/2.96 'tc_fun' [47, 2] (w:1, o:130, a:1, s:1, b:0),
% 2.58/2.96 'c_Lattices_Oupper__semilattice__class_Osup' [48, 3] (w:1, o:146, a:1
% 2.58/2.96 , s:1, b:0),
% 2.58/2.96 'c_COMBK' [52, 3] (w:1, o:147, a:1, s:1, b:0),
% 2.58/2.96 'c_Product__Type_OSigma' [53, 4] (w:1, o:167, a:1, s:1, b:0),
% 2.58/2.96 'c_in' [56, 3] (w:1, o:148, a:1, s:1, b:0),
% 2.58/2.96 hBOOL [57, 1] (w:1, o:79, a:1, s:1, b:0),
% 2.58/2.96 'class_Orderings_Obot' [58, 1] (w:1, o:80, a:1, s:1, b:0),
% 2.58/2.96 't_a' [59, 0] (w:1, o:19, a:1, s:1, b:0),
% 2.58/2.96 'c_Orderings_Obot__class_Obot' [60, 1] (w:1, o:81, a:1, s:1, b:0),
% 2.58/2.96 'v_x' [61, 0] (w:1, o:20, a:1, s:1, b:0),
% 2.58/2.96 hAPP [62, 2] (w:1, o:131, a:1, s:1, b:0),
% 2.58/2.96 'c_HOL_Ouminus__class_Ouminus' [64, 2] (w:1, o:132, a:1, s:1, b:0),
% 2.58/2.96 'class_Lattices_Oboolean__algebra' [65, 1] (w:1, o:82, a:1, s:1, b:0)
% 2.58/2.96 ,
% 2.58/2.96 'c_Lattices_Olower__semilattice__class_Oinf' [66, 3] (w:1, o:149, a:1
% 2.58/2.96 , s:1, b:0),
% 2.58/2.96 'c_Relation_Oinv__image' [69, 4] (w:1, o:168, a:1, s:1, b:0),
% 2.58/2.96 'c_Relation_Osym' [70, 2] (w:1, o:133, a:1, s:1, b:0),
% 2.58/2.96 'c_lessequals' [72, 3] (w:1, o:150, a:1, s:1, b:0),
% 2.58/2.96 'c_Set_Oimage' [73, 4] (w:1, o:170, a:1, s:1, b:0),
% 2.58/2.96 'c_Transitive__Closure_Otrancl' [74, 2] (w:1, o:134, a:1, s:1, b:0),
% 2.58/2.96
% 2.58/2.96 'class_OrderedGroup_Opordered__ab__group__add' [75, 1] (w:1, o:83, a:
% 2.58/2.96 1, s:1, b:0),
% 2.58/2.96 'c_Set_Ovimage' [78, 4] (w:1, o:171, a:1, s:1, b:0),
% 2.58/2.96 'c_Relation_Otrans' [79, 2] (w:1, o:135, a:1, s:1, b:0),
% 2.58/2.96 'c_Orderings_Otop__class_Otop' [81, 1] (w:1, o:84, a:1, s:1, b:0),
% 2.58/2.96 'c_Fun_Oinj__on' [82, 4] (w:1, o:172, a:1, s:1, b:0),
% 2.58/2.96 'c_Collect' [84, 2] (w:1, o:136, a:1, s:1, b:0),
% 2.58/2.96 'c_Relation_Oconverse' [85, 3] (w:1, o:151, a:1, s:1, b:0),
% 2.58/2.96 'c_HOL_Ominus__class_Ominus' [86, 3] (w:1, o:152, a:1, s:1, b:0),
% 2.58/2.96 'c_Relation_OImage' [87, 4] (w:1, o:169, a:1, s:1, b:0),
% 2.58/2.96 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI' [93, 4] (w:1
% 2.58/2.96 , o:173, a:1, s:1, b:0),
% 2.58/2.96 'c_Relation_ODomain' [94, 3] (w:1, o:153, a:1, s:1, b:0),
% 2.58/2.96 'class_Lattices_Obounded__lattice' [95, 1] (w:1, o:85, a:1, s:1, b:0)
% 2.58/2.96 ,
% 2.58/2.96 'c_Finite__Set_Ofinite' [96, 2] (w:1, o:137, a:1, s:1, b:0),
% 2.58/2.96 'class_Complete__Lattice_Ocomplete__lattice' [97, 1] (w:1, o:86, a:1
% 2.58/2.96 , s:1, b:0),
% 2.58/2.96 'c_Complete__Lattice_OSup__class_OSup' [98, 2] (w:1, o:138, a:1, s:1
% 2.58/2.96 , b:0),
% 2.58/2.96 'c_Relation_ORange' [101, 3] (w:1, o:154, a:1, s:1, b:0),
% 2.58/2.96 'c_Order__Relation_Opartial__order__on' [102, 3] (w:1, o:155, a:1, s:
% 2.58/2.96 1, b:0),
% 2.58/2.96 'class_Lattices_Olattice' [104, 1] (w:1, o:87, a:1, s:1, b:0),
% 2.58/2.96 'class_Lattices_Odistrib__lattice' [106, 1] (w:1, o:88, a:1, s:1, b:0
% 2.58/2.96 ),
% 2.58/2.96 'c_Order__Relation_Olinear__order__on' [110, 3] (w:1, o:156, a:1, s:1
% 2.58/2.96 , b:0),
% 2.58/2.96 'c_Relation_Ototal__on' [111, 3] (w:1, o:158, a:1, s:1, b:0),
% 11.16/11.55 'c_Relation_Orefl__on' [113, 3] (w:1, o:159, a:1, s:1, b:0),
% 11.16/11.55 'class_Lattices_Oupper__semilattice' [114, 1] (w:1, o:89, a:1, s:1
% 11.16/11.55 , b:0),
% 11.16/11.55 'c_Nat_Ocompow' [119, 4] (w:1, o:174, a:1, s:1, b:0),
% 11.16/11.55 'class_Lattices_Olower__semilattice' [121, 1] (w:1, o:90, a:1, s:1
% 11.16/11.55 , b:0),
% 11.16/11.55 'c_Wellfounded_Owf' [122, 2] (w:1, o:139, a:1, s:1, b:0),
% 11.16/11.55 'c_Relation_Osingle__valued' [123, 3] (w:1, o:157, a:1, s:1, b:0),
% 11.16/11.55 'v_A' [124, 0] (w:1, o:55, a:1, s:1, b:0),
% 11.16/11.55 'v_r' [125, 0] (w:1, o:56, a:1, s:1, b:0),
% 11.16/11.55 'c_and' [126, 2] (w:1, o:140, a:1, s:1, b:0),
% 11.16/11.55 'c_Wellfounded_Oacyclic' [127, 2] (w:1, o:141, a:1, s:1, b:0),
% 11.16/11.55 'class_OrderedGroup_Ogroup__add' [128, 1] (w:1, o:91, a:1, s:1, b:0)
% 11.16/11.55 ,
% 11.16/11.55 'class_Orderings_Oorder' [129, 1] (w:1, o:92, a:1, s:1, b:0),
% 11.16/11.55 't_b' [130, 0] (w:1, o:57, a:1, s:1, b:0),
% 11.16/11.55 'class_HOL_Ouminus' [131, 1] (w:1, o:93, a:1, s:1, b:0),
% 11.16/11.55 'c_Complete__Lattice_Ocomplete__lattice' [141, 9] (w:1, o:176, a:1
% 11.16/11.55 , s:1, b:0),
% 11.16/11.55 'class_OrderedGroup_Olordered__ab__group__add' [142, 1] (w:1, o:94
% 11.16/11.55 , a:1, s:1, b:0),
% 11.16/11.55 'c_Order__Relation_Owell__order__on' [143, 3] (w:1, o:160, a:1, s:1
% 11.16/11.55 , b:0),
% 11.16/11.55 'class_Finite__Set_Ofinite_Ofinite' [144, 1] (w:1, o:95, a:1, s:1, b:
% 11.16/11.55 0),
% 11.16/11.55 'class_HOL_Oord' [146, 1] (w:1, o:96, a:1, s:1, b:0),
% 11.16/11.55 'class_OrderedGroup_Oab__group__add' [149, 1] (w:1, o:97, a:1, s:1
% 11.16/11.55 , b:0),
% 11.16/11.55 'class_Orderings_Otop' [150, 1] (w:1, o:98, a:1, s:1, b:0),
% 11.16/11.55 'c_Order__Relation_Ostrict__linear__order__on' [151, 2] (w:1, o:142
% 11.16/11.55 , a:1, s:1, b:0),
% 11.16/11.55 'c_Relation_Oirrefl' [152, 2] (w:1, o:143, a:1, s:1, b:0),
% 11.16/11.55 'class_Orderings_Opreorder' [154, 1] (w:1, o:99, a:1, s:1, b:0),
% 11.16/11.55 'class_Orderings_Olinorder' [157, 1] (w:1, o:100, a:1, s:1, b:0),
% 11.16/11.55 'c_Wellfounded_Omeasure' [158, 2] (w:1, o:144, a:1, s:1, b:0),
% 11.16/11.55 'c_List_Omeasures' [161, 2] (w:1, o:145, a:1, s:1, b:0),
% 11.16/11.55 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1' [163, 3] (w:1, o:
% 11.16/11.55 161, a:1, s:1, b:0),
% 11.16/11.55 'c_Wellfounded_Omlex__prod' [164, 3] (w:1, o:162, a:1, s:1, b:0),
% 11.16/11.55 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1' [165, 3] (w:1
% 11.16/11.55 , o:163, a:1, s:1, b:0),
% 11.16/11.55 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1' [167, 3] (w:1, o:164
% 11.16/11.55 , a:1, s:1, b:0),
% 11.16/11.55 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1' [168, 3]
% 11.16/11.55 (w:1, o:165, a:1, s:1, b:0),
% 11.16/11.55 'class_HOL_Ominus' [169, 1] (w:1, o:101, a:1, s:1, b:0),
% 11.16/11.55 'c_Arrow__Order__Mirabelle_OLin' [170, 0] (w:1, o:67, a:1, s:1, b:0)
% 11.16/11.55 ,
% 11.16/11.55 'tc_Arrow__Order__Mirabelle_Oalt' [171, 0] (w:1, o:68, a:1, s:1, b:0)
% 11.16/11.55 ,
% 11.16/11.55 'c_fequal' [174, 3] (w:1, o:166, a:1, s:1, b:0).
% 11.16/11.55
% 11.16/11.55
% 11.16/11.55 Starting Search:
% 11.16/11.55
% 11.16/11.55 Resimplifying inuse:
% 11.16/11.55 Done
% 11.16/11.55
% 11.16/11.55
% 11.16/11.55 Intermediate Status:
% 11.16/11.55 Generated: 4624
% 11.16/11.55 Kept: 2079
% 11.16/11.55 Inuse: 177
% 11.16/11.55 Deleted: 4
% 11.16/11.55 Deletedinuse: 0
% 11.16/11.55
% 11.16/11.55 Resimplifying inuse:
% 11.16/11.55 Done
% 11.16/11.55
% 11.16/11.55 Resimplifying inuse:
% 11.16/11.55 Done
% 11.16/11.55
% 11.16/11.55
% 11.16/11.55 Intermediate Status:
% 11.16/11.55 Generated: 10140
% 11.16/11.55 Kept: 4080
% 11.16/11.55 Inuse: 322
% 11.16/11.55 Deleted: 8
% 11.16/11.55 Deletedinuse: 0
% 11.16/11.55
% 11.16/11.55 Resimplifying inuse:
% 11.16/11.55 Done
% 11.16/11.55
% 11.16/11.55 Resimplifying inuse:
% 11.16/11.55 Done
% 11.16/11.55
% 11.16/11.55
% 11.16/11.55 Intermediate Status:
% 11.16/11.55 Generated: 14090
% 11.16/11.55 Kept: 6154
% 11.16/11.55 Inuse: 372
% 11.16/11.55 Deleted: 8
% 11.16/11.55 Deletedinuse: 0
% 11.16/11.55
% 11.16/11.55 Resimplifying inuse:
% 11.16/11.55 Done
% 11.16/11.55
% 11.16/11.55 Resimplifying inuse:
% 11.16/11.55 Done
% 11.16/11.55
% 11.16/11.55
% 11.16/11.55 Intermediate Status:
% 11.16/11.55 Generated: 20109
% 11.16/11.55 Kept: 8561
% 11.16/11.55 Inuse: 398
% 11.16/11.55 Deleted: 8
% 11.16/11.55 Deletedinuse: 0
% 11.16/11.55
% 11.16/11.55 Resimplifying inuse:
% 11.16/11.55 Done
% 11.16/11.55
% 11.16/11.55 Resimplifying inuse:
% 11.16/11.55 Done
% 11.16/11.55
% 11.16/11.55
% 11.16/11.55 Intermediate Status:
% 11.16/11.55 Generated: 24495
% 11.16/11.55 Kept: 10561
% 11.16/11.55 Inuse: 426
% 11.16/11.55 Deleted: 8
% 11.16/11.55 Deletedinuse: 0
% 11.16/11.55
% 11.16/11.55 Resimplifying inuse:
% 11.16/11.55 Done
% 11.16/11.55
% 11.16/11.55 Resimplifying inuse:
% 11.16/11.55 Done
% 11.16/11.55
% 11.16/11.55
% 11.16/11.55 Intermediate Status:
% 11.16/11.55 Generated: 30905
% 11.16/11.55 Kept: 12620
% 11.16/11.55 Inuse: 488
% 11.16/11.55 Deleted: 10
% 11.16/11.55 Deletedinuse: 2
% 11.16/11.55
% 11.16/11.55 Resimplifying inuse:
% 11.16/11.55 Done
% 11.16/11.55
% 11.16/11.55 Resimplifying inuse:
% 11.16/11.55 Done
% 11.16/11.55
% 11.16/11.55
% 11.16/11.55 Intermediate Status:
% 11.16/11.55 Generated: 40499
% 11.16/11.55 Kept: 14627
% 11.16/11.55 Inuse: 574
% 11.16/11.55 Deleted: 14
% 11.16/11.55 Deletedinuse: 3
% 11.16/11.55
% 11.16/11.55 Resimplifying inuse:
% 11.16/11.55 Done
% 11.16/11.55
% 11.16/11.55
% 11.16/11.55 Intermediate Status:
% 11.16/11.55 Generated: 45876
% 11.16/11.55 Kept: 16779
% 11.16/11.55 Inuse: 590
% 11.16/11.55 Deleted: 15
% 11.16/11.55 Deletedinuse: 3
% 11.16/11.55
% 11.16/11.55 Resimplifying inuse:
% 11.16/11.55 Done
% 11.16/11.55
% 11.16/11.55 Resimplifying inuse:
% 11.16/11.55 Done
% 11.16/11.55
% 11.16/11.55
% 11.16/11.55 Intermediate Status:
% 11.16/11.55 Generated: 58045
% 11.16/11.55 Kept: 19522
% 20.19/20.62 Inuse: 673
% 20.19/20.62 Deleted: 22
% 20.19/20.62 Deletedinuse: 5
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying clauses:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 65988
% 20.19/20.62 Kept: 21754
% 20.19/20.62 Inuse: 719
% 20.19/20.62 Deleted: 157
% 20.19/20.62 Deletedinuse: 6
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 75711
% 20.19/20.62 Kept: 23790
% 20.19/20.62 Inuse: 793
% 20.19/20.62 Deleted: 159
% 20.19/20.62 Deletedinuse: 8
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 90738
% 20.19/20.62 Kept: 26077
% 20.19/20.62 Inuse: 838
% 20.19/20.62 Deleted: 159
% 20.19/20.62 Deletedinuse: 8
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 105267
% 20.19/20.62 Kept: 28352
% 20.19/20.62 Inuse: 881
% 20.19/20.62 Deleted: 167
% 20.19/20.62 Deletedinuse: 9
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 122133
% 20.19/20.62 Kept: 30708
% 20.19/20.62 Inuse: 891
% 20.19/20.62 Deleted: 167
% 20.19/20.62 Deletedinuse: 9
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 140980
% 20.19/20.62 Kept: 33198
% 20.19/20.62 Inuse: 906
% 20.19/20.62 Deleted: 168
% 20.19/20.62 Deletedinuse: 10
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 148010
% 20.19/20.62 Kept: 35233
% 20.19/20.62 Inuse: 934
% 20.19/20.62 Deleted: 168
% 20.19/20.62 Deletedinuse: 10
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 153044
% 20.19/20.62 Kept: 37246
% 20.19/20.62 Inuse: 953
% 20.19/20.62 Deleted: 168
% 20.19/20.62 Deletedinuse: 10
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 165259
% 20.19/20.62 Kept: 39619
% 20.19/20.62 Inuse: 995
% 20.19/20.62 Deleted: 169
% 20.19/20.62 Deletedinuse: 10
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying clauses:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 180300
% 20.19/20.62 Kept: 42533
% 20.19/20.62 Inuse: 1040
% 20.19/20.62 Deleted: 452
% 20.19/20.62 Deletedinuse: 11
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 191184
% 20.19/20.62 Kept: 44692
% 20.19/20.62 Inuse: 1050
% 20.19/20.62 Deleted: 453
% 20.19/20.62 Deletedinuse: 12
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 202869
% 20.19/20.62 Kept: 46839
% 20.19/20.62 Inuse: 1079
% 20.19/20.62 Deleted: 453
% 20.19/20.62 Deletedinuse: 12
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 211610
% 20.19/20.62 Kept: 48926
% 20.19/20.62 Inuse: 1145
% 20.19/20.62 Deleted: 454
% 20.19/20.62 Deletedinuse: 13
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 222108
% 20.19/20.62 Kept: 50939
% 20.19/20.62 Inuse: 1190
% 20.19/20.62 Deleted: 459
% 20.19/20.62 Deletedinuse: 18
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 231564
% 20.19/20.62 Kept: 52957
% 20.19/20.62 Inuse: 1242
% 20.19/20.62 Deleted: 465
% 20.19/20.62 Deletedinuse: 24
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 244037
% 20.19/20.62 Kept: 54997
% 20.19/20.62 Inuse: 1300
% 20.19/20.62 Deleted: 465
% 20.19/20.62 Deletedinuse: 24
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 256913
% 20.19/20.62 Kept: 57754
% 20.19/20.62 Inuse: 1316
% 20.19/20.62 Deleted: 465
% 20.19/20.62 Deletedinuse: 24
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 266645
% 20.19/20.62 Kept: 59774
% 20.19/20.62 Inuse: 1367
% 20.19/20.62 Deleted: 473
% 20.19/20.62 Deletedinuse: 24
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying clauses:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 281505
% 20.19/20.62 Kept: 62556
% 20.19/20.62 Inuse: 1410
% 20.19/20.62 Deleted: 1041
% 20.19/20.62 Deletedinuse: 25
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 291332
% 20.19/20.62 Kept: 64699
% 20.19/20.62 Inuse: 1430
% 20.19/20.62 Deleted: 1041
% 20.19/20.62 Deletedinuse: 25
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 304137
% 20.19/20.62 Kept: 66801
% 20.19/20.62 Inuse: 1489
% 20.19/20.62 Deleted: 1050
% 20.19/20.62 Deletedinuse: 33
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 315235
% 20.19/20.62 Kept: 68844
% 20.19/20.62 Inuse: 1537
% 20.19/20.62 Deleted: 1052
% 20.19/20.62 Deletedinuse: 35
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 330632
% 20.19/20.62 Kept: 71458
% 20.19/20.62 Inuse: 1564
% 20.19/20.62 Deleted: 1052
% 20.19/20.62 Deletedinuse: 35
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 345737
% 20.19/20.62 Kept: 73471
% 20.19/20.62 Inuse: 1618
% 20.19/20.62 Deleted: 1058
% 20.19/20.62 Deletedinuse: 35
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 366920
% 20.19/20.62 Kept: 76945
% 20.19/20.62 Inuse: 1673
% 20.19/20.62 Deleted: 1058
% 20.19/20.62 Deletedinuse: 35
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 378631
% 20.19/20.62 Kept: 79096
% 20.19/20.62 Inuse: 1688
% 20.19/20.62 Deleted: 1058
% 20.19/20.62 Deletedinuse: 35
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying clauses:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 400240
% 20.19/20.62 Kept: 83145
% 20.19/20.62 Inuse: 1694
% 20.19/20.62 Deleted: 1630
% 20.19/20.62 Deletedinuse: 36
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 420349
% 20.19/20.62 Kept: 85210
% 20.19/20.62 Inuse: 1718
% 20.19/20.62 Deleted: 1630
% 20.19/20.62 Deletedinuse: 36
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 439662
% 20.19/20.62 Kept: 88535
% 20.19/20.62 Inuse: 1743
% 20.19/20.62 Deleted: 1630
% 20.19/20.62 Deletedinuse: 36
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 460389
% 20.19/20.62 Kept: 90587
% 20.19/20.62 Inuse: 1803
% 20.19/20.62 Deleted: 1631
% 20.19/20.62 Deletedinuse: 37
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 472612
% 20.19/20.62 Kept: 92597
% 20.19/20.62 Inuse: 1837
% 20.19/20.62 Deleted: 1633
% 20.19/20.62 Deletedinuse: 39
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 485129
% 20.19/20.62 Kept: 94709
% 20.19/20.62 Inuse: 1878
% 20.19/20.62 Deleted: 1633
% 20.19/20.62 Deletedinuse: 39
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 499387
% 20.19/20.62 Kept: 96710
% 20.19/20.62 Inuse: 1922
% 20.19/20.62 Deleted: 1633
% 20.19/20.62 Deletedinuse: 39
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 510468
% 20.19/20.62 Kept: 98851
% 20.19/20.62 Inuse: 1953
% 20.19/20.62 Deleted: 1633
% 20.19/20.62 Deletedinuse: 39
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 529393
% 20.19/20.62 Kept: 100945
% 20.19/20.62 Inuse: 2013
% 20.19/20.62 Deleted: 1633
% 20.19/20.62 Deletedinuse: 39
% 20.19/20.62
% 20.19/20.62 Resimplifying clauses:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Intermediate Status:
% 20.19/20.62 Generated: 556029
% 20.19/20.62 Kept: 105454
% 20.19/20.62 Inuse: 2033
% 20.19/20.62 Deleted: 1692
% 20.19/20.62 Deletedinuse: 40
% 20.19/20.62
% 20.19/20.62 Resimplifying inuse:
% 20.19/20.62 Done
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 Bliksems!, er is een bewijs:
% 20.19/20.62 % SZS status Unsatisfiable
% 20.19/20.62 % SZS output start Refutation
% 20.19/20.62
% 20.19/20.62 clause( 27, [ =( 'c_Collect'( X, Y ), X ) ] )
% 20.19/20.62 .
% 20.19/20.62 clause( 491, [ =( 'c_Order__Relation_Ostrict__linear__order__on'(
% 20.19/20.62 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 20.19/20.62 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 20.19/20.62 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_OLin' ) ]
% 20.19/20.62 )
% 20.19/20.62 .
% 20.19/20.62 clause( 497, [ hBOOL( hAPP( 'c_Order__Relation_Ostrict__linear__order__on'(
% 20.19/20.62 X, Y ), 'c_HOL_Ominus__class_Ominus'( Z, 'c_Relation_OId'( Y ), 'tc_fun'(
% 20.19/20.62 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ), ~( hBOOL(
% 20.19/20.62 'c_Order__Relation_Olinear__order__on'( X, Z, Y ) ) ) ] )
% 20.19/20.62 .
% 20.19/20.62 clause( 498, [ hBOOL( 'c_Order__Relation_Olinear__order__on'(
% 20.19/20.62 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 20.19/20.62 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'v_r',
% 20.19/20.62 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ] )
% 20.19/20.62 .
% 20.19/20.62 clause( 500, [ ~( hBOOL( hAPP( 'c_Arrow__Order__Mirabelle_OLin', X ) ) ) ]
% 20.19/20.62 )
% 20.19/20.62 .
% 20.19/20.62 clause( 105530, [] )
% 20.19/20.62 .
% 20.19/20.62
% 20.19/20.62
% 20.19/20.62 % SZS output end Refutation
% 20.19/20.62 found a proof!
% 20.19/20.62
% 20.19/20.62 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 20.19/20.62
% 20.19/20.62 initialclauses(
% 20.19/20.62 [ clause( 105532, [ =( 'c_Relation_Orel__comp'( X,
% 20.19/20.62 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 20.19/20.62 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 20.19/20.62 Y, Y ) ) ] )
% 20.19/20.62 , clause( 105533, [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 20.19/20.62 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ] )
% 20.19/20.62 , clause( 105534, [ 'c_Relation_Oantisym'(
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 20.19/20.62 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), ~( 'c_Relation_Oantisym'(
% 20.19/20.62 X, Y ) ) ] )
% 20.19/20.62 , clause( 105535, [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y,
% 20.19/20.62 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U,
% 20.19/20.62 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( hBOOL( 'c_in'(
% 20.19/20.62 W, Y, Z ) ) ), =( X, U ) ] )
% 20.19/20.62 , clause( 105536, [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 20.19/20.62 , clause( 105537, [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 20.19/20.62 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 20.19/20.62 )
% 20.19/20.62 , clause( 105538, [ hBOOL( 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 20.19/20.62 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), hBOOL( 'c_in'( X, Y, Z ) ) ] )
% 20.19/20.62 , clause( 105539, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 20.19/20.62 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 20.19/20.62 , clause( 105540, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.62 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 20.19/20.62 , clause( 105541, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 20.19/20.62 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 20.19/20.62 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 20.19/20.62 ) ) ) ] )
% 20.19/20.62 , clause( 105542, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.62 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 20.19/20.62 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 20.19/20.62 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105543, [ =( 'c_Transitive__Closure_Ortrancl'(
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 20.19/20.62 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 20.19/20.62 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 20.19/20.62 , clause( 105544, [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T
% 20.19/20.62 ), T ), ~( 'c_Relation_Osym'( X, Z ) ) ] )
% 20.19/20.62 , clause( 105545, [ =( 'c_Transitive__Closure_Ortrancl'(
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 20.19/20.62 ), X ), 'c_Relation_OId'( X ) ) ] )
% 20.19/20.62 , clause( 105546, [ 'c_lessequals'(
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.62 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 20.19/20.62 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 20.19/20.62 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'(
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 20.19/20.62 Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 20.19/20.62 )
% 20.19/20.62 , clause( 105547, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 20.19/20.62 'tc_bool' ) ), 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z,
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105548, [ =( 'c_Transitive__Closure_Otrancl'(
% 20.19/20.62 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 20.19/20.62 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 20.19/20.62 , clause( 105549, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.62 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 20.19/20.62 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 20.19/20.62 ) ) ] )
% 20.19/20.62 , clause( 105550, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 20.19/20.62 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 20.19/20.62 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 20.19/20.62 , X ), X ) ) ] )
% 20.19/20.62 , clause( 105551, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 20.19/20.62 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 20.19/20.62 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 20.19/20.62 ) ] )
% 20.19/20.62 , clause( 105552, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 20.19/20.62 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'(
% 20.19/20.62 Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X,
% 20.19/20.62 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105553, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 20.19/20.62 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool'
% 20.19/20.62 ) ), 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 20.19/20.62 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105554, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 20.19/20.62 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'(
% 20.19/20.62 Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X,
% 20.19/20.62 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105555, [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X,
% 20.19/20.62 Y, Z, T ), Z, T ), Y, 'tc_fun'( T, 'tc_bool' ) ) ] )
% 20.19/20.62 , clause( 105556, [ hBOOL( 'c_Relation_Otrans'(
% 20.19/20.62 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ) ] )
% 20.19/20.62 , clause( 105557, [ =( 'c_Relation_Orel__comp'(
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' )
% 20.19/20.62 ), Z, X, Y, T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X
% 20.19/20.62 , T ), 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105558, [ =( 'c_Relation_Orel__comp'( X,
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' )
% 20.19/20.62 ), T, Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( T, Z
% 20.19/20.62 ), 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105559, [ =( 'c_Set_Ovimage'( X, 'c_Set_Oimage'( X, Y, Z, T ), Z
% 20.19/20.62 , T ), Y ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 20.19/20.62 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ] )
% 20.19/20.62 , clause( 105560, [ =( 'c_Collect'( X, Y ), X ) ] )
% 20.19/20.62 , clause( 105561, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'(
% 20.19/20.62 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ] )
% 20.19/20.62 , clause( 105562, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'(
% 20.19/20.62 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( X, X
% 20.19/20.62 ), 'tc_bool' ) ) ] )
% 20.19/20.62 , clause( 105563, [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ] )
% 20.19/20.62 , clause( 105564, [ hBOOL( 'c_Relation_Otrans'( X, Y ) ), ~( hBOOL(
% 20.19/20.62 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ) ] )
% 20.19/20.62 , clause( 105565, [ hBOOL( 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X,
% 20.19/20.62 Y, Y ), Y ) ), ~( hBOOL( 'c_Relation_Otrans'( X, Y ) ) ) ] )
% 20.19/20.62 , clause( 105566, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 20.19/20.62 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 20.19/20.62 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.62 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 20.19/20.62 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105567, [ =( 'c_Relation_OImage'( X,
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ),
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105568, [ 'c_lessequals'( 'c_Relation_Orel__comp'(
% 20.19/20.62 'c_Relation_Oconverse'( X, Y, Y ), X, Y, Y, Y ), X, 'tc_fun'( 'tc_prod'(
% 20.19/20.62 Y, Y ), 'tc_bool' ) ), ~( hBOOL( 'c_Relation_Otrans'( X, Y ) ) ), ~(
% 20.19/20.62 'c_Relation_Osym'( X, Y ) ) ] )
% 20.19/20.62 , clause( 105569, [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X
% 20.19/20.62 , Y, Z, T, U ), W, Z, U, V0 ), 'c_Relation_Orel__comp'( X,
% 20.19/20.62 'c_Relation_Orel__comp'( Y, W, T, U, V0 ), Z, T, V0 ) ) ] )
% 20.19/20.62 , clause( 105570, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'(
% 20.19/20.62 'tc_fun'( X, 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 20.19/20.62 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ] )
% 20.19/20.62 , clause( 105571, [ 'c_Relation_Osym'(
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 20.19/20.62 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'( Y, Z ) ), ~(
% 20.19/20.62 'c_Relation_Osym'( X, Z ) ) ] )
% 20.19/20.62 , clause( 105572, [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X,
% 20.19/20.62 U, Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 20.19/20.62 'tc_bool' ) ), Z, T ) ), =( Y, U ) ] )
% 20.19/20.62 , clause( 105573, [ 'c_lessequals'( X, hAPP( Y, Z ), 'tc_fun'( T, 'tc_bool'
% 20.19/20.62 ) ), ~( hBOOL( 'c_in'( Z, U, W ) ) ), ~( 'c_lessequals'( X,
% 20.19/20.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, Y, W, 'tc_fun'(
% 20.19/20.62 T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105574, [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y
% 20.19/20.62 ), 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y )
% 20.19/20.62 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 20.19/20.62 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105575, [ 'c_lessequals'( 'c_Relation_ODomain'(
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 20.19/20.62 Z, T ), 'tc_bool' ) ), Z, T ),
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ODomain'( X, Z
% 20.19/20.62 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ),
% 20.19/20.62 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 20.19/20.62 , clause( 105576, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 20.19/20.62 X ) ) ] )
% 20.19/20.62 , clause( 105577, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 20.19/20.62 , clause( 105578, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 20.19/20.62 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 20.19/20.62 ) ) ) ] )
% 20.19/20.62 , clause( 105579, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 20.19/20.62 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.19/20.62 ) ] )
% 20.19/20.62 , clause( 105580, [ =( 'c_Relation_Oconverse'( 'c_Relation_Oinv__image'( X
% 20.19/20.62 , Y, Z, T ), T, T ), 'c_Relation_Oinv__image'( 'c_Relation_Oconverse'( X
% 20.19/20.62 , Z, Z ), Y, Z, T ) ) ] )
% 20.19/20.62 , clause( 105581, [ =( 'c_Transitive__Closure_Otrancl'(
% 20.19/20.62 'c_Relation_Oconverse'( X, Y, Y ), Y ), 'c_Relation_Oconverse'(
% 20.19/20.62 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ) ) ] )
% 20.19/20.62 , clause( 105582, [ hBOOL( 'c_in'( X, hAPP( Y, Z ), T ) ), ~( hBOOL( 'c_in'(
% 20.19/20.62 Z, U, W ) ) ), ~( hBOOL( 'c_in'( X,
% 20.19/20.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, Y, W, 'tc_fun'(
% 20.19/20.62 T, 'tc_bool' ) ), T ) ) ) ] )
% 20.19/20.62 , clause( 105583, [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( T, hAPP(
% 20.19/20.62 U, X ), W ) ), ~( hBOOL( 'c_in'( T,
% 20.19/20.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, U, Z, 'tc_fun'(
% 20.19/20.62 W, 'tc_bool' ) ), W ) ) ) ] )
% 20.19/20.62 , clause( 105584, [ hBOOL( 'c_in'( X, hAPP( Y, Z ), T ) ), ~( hBOOL( 'c_in'(
% 20.19/20.62 Z, U, W ) ) ), ~( hBOOL( 'c_in'( X,
% 20.19/20.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, Y, W, 'tc_fun'(
% 20.19/20.62 T, 'tc_bool' ) ), T ) ) ) ] )
% 20.19/20.62 , clause( 105585, [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'(
% 20.19/20.62 'tc_fun'( X, 'tc_bool' ) ), X ) ] )
% 20.19/20.62 , clause( 105586, [ hBOOL( 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X
% 20.19/20.62 , Y, Z, T ), T ) ), ~( hBOOL( 'c_Relation_Otrans'( X, Z ) ) ) ] )
% 20.19/20.62 , clause( 105587, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 20.19/20.62 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ] )
% 20.19/20.62 , clause( 105588, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 20.19/20.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 20.19/20.62 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ] )
% 20.19/20.62 , clause( 105589, [ =( 'c_Set_Oimage'( X,
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 20.19/20.62 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.62 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 20.19/20.62 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 20.19/20.62 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ] )
% 20.19/20.62 , clause( 105590, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 20.19/20.62 , =( 'c_Complete__Lattice_OSup__class_OSup'(
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 20.19/20.62 , clause( 105591, [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 20.19/20.62 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.62 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 20.19/20.62 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ] )
% 20.19/20.62 , clause( 105592, [ 'c_Finite__Set_Ofinite'(
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 20.19/20.62 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ), ~(
% 20.19/20.62 'c_Finite__Set_Ofinite'( X, Z ) ) ] )
% 20.19/20.62 , clause( 105593, [ 'c_Finite__Set_Ofinite'(
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 20.19/20.62 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ), ~(
% 20.19/20.62 'c_Finite__Set_Ofinite'( X, Z ) ) ] )
% 20.19/20.62 , clause( 105594, [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 20.19/20.62 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.62 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 20.19/20.62 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ] )
% 20.19/20.62 , clause( 105595, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 20.19/20.62 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 20.19/20.62 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 20.19/20.62 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 20.19/20.62 , clause( 105596, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 20.19/20.62 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 20.19/20.62 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 20.19/20.62 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105597, [ 'c_Finite__Set_Ofinite'(
% 20.19/20.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, Z, 'tc_fun'(
% 20.19/20.62 T, 'tc_bool' ) ), T ), ~( 'c_Finite__Set_Ofinite'( hAPP( Y, U ), T ) ),
% 20.19/20.62 ~( hBOOL( 'c_in'( U, X, Z ) ) ) ] )
% 20.19/20.62 , clause( 105598, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( hAPP( T,
% 20.19/20.62 X ), 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( T,
% 20.19/20.62 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ] )
% 20.19/20.62 , clause( 105599, [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U
% 20.19/20.62 ), U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 20.19/20.62 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ] )
% 20.19/20.62 , clause( 105600, [ =( 'c_Relation_ORange'( 'c_Relation_Oconverse'( X, Y, Z
% 20.19/20.62 ), Z, Y ), 'c_Relation_ODomain'( X, Y, Z ) ) ] )
% 20.19/20.62 , clause( 105601, [ hBOOL( 'c_Order__Relation_Opartial__order__on'(
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 20.19/20.62 ), X ) ) ] )
% 20.19/20.62 , clause( 105602, [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'(
% 20.19/20.62 Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U,
% 20.19/20.62 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_fun'( 'tc_prod'(
% 20.19/20.62 T, Z ), 'tc_bool' ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( T, 'tc_bool' )
% 20.19/20.62 ) ), ~( hBOOL( 'c_in'( W, Y, Z ) ) ) ] )
% 20.19/20.62 , clause( 105603, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 20.19/20.62 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U,
% 20.19/20.62 'tc_bool' ), Z ), Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T,
% 20.19/20.62 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 20.19/20.62 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( W, T, U ) ) ) ] )
% 20.19/20.62 , clause( 105604, [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ),
% 20.19/20.62 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 20.19/20.62 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'(
% 20.19/20.62 X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ]
% 20.19/20.62 )
% 20.19/20.62 , clause( 105605, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 20.19/20.62 'c_lessequals'( 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U
% 20.19/20.62 ), 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( T,
% 20.19/20.62 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ] )
% 20.19/20.62 , clause( 105606, [ =( 'c_Set_Oimage'( X,
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 20.19/20.62 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.62 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 20.19/20.62 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ),
% 20.19/20.62 ~( 'c_lessequals'( Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 20.19/20.62 'c_Fun_Oinj__on'( X, W, T, U ) ) ] )
% 20.19/20.62 , clause( 105607, [ =( 'c_Transitive__Closure_Otrancl'(
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 20.19/20.62 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 20.19/20.62 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 20.19/20.62 , clause( 105608, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X,
% 20.19/20.62 'c_Set_Oimage'( Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 20.19/20.62 'c_Finite__Set_Ofinite'( T, U ) ) ] )
% 20.19/20.62 , clause( 105609, [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'(
% 20.19/20.62 Y, U, W ) ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z,
% 20.19/20.62 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105610, [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y )
% 20.19/20.62 , Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 20.19/20.62 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.62 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 20.19/20.62 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 20.19/20.62 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) )
% 20.19/20.62 ) ] )
% 20.19/20.62 , clause( 105611, [ =( 'c_Product__Type_OSigma'(
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 20.19/20.62 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.62 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 20.19/20.62 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105612, [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X,
% 20.19/20.62 Y, Z, T, U ), Z, U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y
% 20.19/20.62 , T, U ), 'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ] )
% 20.19/20.62 , clause( 105613, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 20.19/20.62 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 20.19/20.62 Z, 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z
% 20.19/20.62 , 'tc_bool' ) ), X ) ] )
% 20.19/20.62 , clause( 105614, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 20.19/20.62 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 20.19/20.62 ), hAPP( Z, 'v_x' ), X ) ) ] )
% 20.19/20.62 , clause( 105615, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 20.19/20.62 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 20.19/20.62 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 20.19/20.62 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105616, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 20.19/20.62 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 20.19/20.62 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 20.19/20.62 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105617, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 20.19/20.62 , clause( 105618, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 20.19/20.62 , clause( 105619, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'c_Collect'( X, T ),
% 20.19/20.62 'tc_fun'( T, 'tc_bool' ) ), T ) ) ) ] )
% 20.19/20.62 , clause( 105620, [ =(
% 20.19/20.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBK'( Y,
% 20.19/20.62 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =( X,
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105621, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 20.19/20.62 , =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'c_COMBK'(
% 20.19/20.62 Z, X, T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T
% 20.19/20.62 , 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105622, [ hBOOL( 'c_Order__Relation_Olinear__order__on'( X, Y, Z
% 20.19/20.62 ) ), ~( hBOOL( 'c_Relation_Ototal__on'( X, Y, Z ) ) ), ~( hBOOL(
% 20.19/20.62 'c_Order__Relation_Opartial__order__on'( X, Y, Z ) ) ) ] )
% 20.19/20.62 , clause( 105623, [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T )
% 20.19/20.62 , Z ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 20.19/20.62 Z, 'tc_bool' ) ), Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ] )
% 20.19/20.62 , clause( 105624, [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y,
% 20.19/20.62 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'(
% 20.19/20.62 Z, Z ), 'tc_bool' ) ), ~( 'c_Relation_Orefl__on'( Y, X, Z ) ) ] )
% 20.19/20.62 , clause( 105625, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X,
% 20.19/20.62 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 20.19/20.62 , clause( 105626, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ] )
% 20.19/20.62 , clause( 105627, [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U
% 20.19/20.62 ), 'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U
% 20.19/20.62 ), 'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U )
% 20.19/20.62 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ),
% 20.19/20.62 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105628, [ hBOOL( 'c_Relation_Otrans'(
% 20.19/20.62 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ) ] )
% 20.19/20.62 , clause( 105629, [ =( 'c_Relation_OImage'(
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 20.19/20.62 Z, T ), 'tc_bool' ) ), U, Z, T ),
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U,
% 20.19/20.62 Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 20.19/20.62 )
% 20.19/20.62 , clause( 105630, [ =( 'c_Relation_OImage'( X,
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 20.19/20.62 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.62 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 20.19/20.62 'tc_fun'( U, 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105631, [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.62 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 20.19/20.62 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105632, [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'(
% 20.19/20.62 X, Y ), Y, Y ), 'c_Relation_ORange'( X, Y, Y ) ) ] )
% 20.19/20.62 , clause( 105633, [ =( 'c_Relation_ODomain'( 'c_Orderings_Obot__class_Obot'(
% 20.19/20.62 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ),
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105634, [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U,
% 20.19/20.62 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y,
% 20.19/20.62 'c_HOL_Ouminus__class_Ouminus'( 'c_Relation_OImage'(
% 20.19/20.62 'c_Relation_Oconverse'( X, Z, T ), 'c_HOL_Ouminus__class_Ouminus'( U,
% 20.19/20.62 'tc_fun'( T, 'tc_bool' ) ), T, Z ), 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 20.19/20.62 Z, 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105635, [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'(
% 20.19/20.62 'c_Relation_OImage'( 'c_Relation_Oconverse'( Y, Z, T ),
% 20.19/20.62 'c_HOL_Ouminus__class_Ouminus'( U, 'tc_fun'( T, 'tc_bool' ) ), T, Z ),
% 20.19/20.62 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 20.19/20.62 'c_Relation_OImage'( Y, X, Z, T ), U, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105636, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) )
% 20.19/20.62 ] )
% 20.19/20.62 , clause( 105637, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) )
% 20.19/20.62 ] )
% 20.19/20.62 , clause( 105638, [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ),
% 20.19/20.62 'c_Relation_Osym'( X, Y ) ] )
% 20.19/20.62 , clause( 105639, [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~(
% 20.19/20.62 'c_Relation_Osym'( X, Y ) ) ] )
% 20.19/20.62 , clause( 105640, [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ] )
% 20.19/20.62 , clause( 105641, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.62 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 20.19/20.62 'tc_bool' ) ), T, U ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z
% 20.19/20.62 , Y, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ), ~(
% 20.19/20.62 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ),
% 20.19/20.62 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 20.19/20.62 'tc_fun'( T, 'tc_bool' ) ), T, U ) ] )
% 20.19/20.62 , clause( 105642, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.62 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 20.19/20.62 'tc_bool' ) ), T, U ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z
% 20.19/20.62 , Y, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 20.19/20.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 20.19/20.62 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 20.19/20.62 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ] )
% 20.19/20.62 , clause( 105643, [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 20.19/20.62 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) )
% 20.19/20.62 ] )
% 20.19/20.62 , clause( 105644, [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U,
% 20.19/20.62 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 20.19/20.62 'c_Product__Type_OSigma'( W, 'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z )
% 20.19/20.62 , Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105645, [ =( hAPP( X, hAPP( 'c_Nat_Ocompow'( Y, X, Z, Z ), T ) )
% 20.19/20.62 , hAPP( 'c_Nat_Ocompow'( Y, X, Z, Z ), hAPP( X, T ) ) ) ] )
% 20.19/20.62 , clause( 105646, [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'(
% 20.19/20.62 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 20.19/20.62 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105647, [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 20.19/20.62 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 20.19/20.62 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 20.19/20.62 Z, 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105648, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 20.19/20.62 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 20.19/20.62 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 20.19/20.62 , clause( 105649, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 20.19/20.62 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T,
% 20.19/20.62 'tc_bool' ) ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U,
% 20.19/20.62 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ] )
% 20.19/20.62 , clause( 105650, [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'(
% 20.19/20.62 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ] )
% 20.19/20.62 , clause( 105651, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 20.19/20.62 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 20.19/20.62 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105652, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 20.19/20.62 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 20.19/20.62 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105653, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 20.19/20.62 , clause( 105654, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 20.19/20.62 , clause( 105655, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 20.19/20.62 , clause( 105656, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 20.19/20.62 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 20.19/20.62 , clause( 105657, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 20.19/20.62 'tc_bool' ) ), Z ) ) ) ] )
% 20.19/20.62 , clause( 105658, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 20.19/20.62 'tc_bool' ) ), Z ) ) ) ] )
% 20.19/20.62 , clause( 105659, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.62 'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 20.19/20.62 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 20.19/20.62 ) ) ] )
% 20.19/20.62 , clause( 105660, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'(
% 20.19/20.62 Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~(
% 20.19/20.62 'c_Fun_Oinj__on'( X, T, U, W ) ) ] )
% 20.19/20.62 , clause( 105661, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'(
% 20.19/20.62 Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T
% 20.19/20.62 , U, W ) ), =( Y, Z ) ] )
% 20.19/20.62 , clause( 105662, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'(
% 20.19/20.62 Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T
% 20.19/20.62 , U, W ) ), =( Y, Z ) ] )
% 20.19/20.62 , clause( 105663, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~(
% 20.19/20.62 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U )
% 20.19/20.62 ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ) ] )
% 20.19/20.62 , clause( 105664, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 20.19/20.62 'tc_fun'( Z, 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 20.19/20.62 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105665, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 20.19/20.62 'tc_fun'( Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 20.19/20.62 'tc_bool' ) ) ) ] )
% 20.19/20.62 , clause( 105666, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 20.19/20.62 'c_lessequals'( Y, Z, X ) ) ] )
% 20.19/20.62 , clause( 105667, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 20.19/20.62 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 20.19/20.63 'c_lessequals'( Y, Z, X ) ] )
% 20.19/20.63 , clause( 105668, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 20.19/20.63 'c_lessequals'( Z, Y, X ) ) ] )
% 20.19/20.63 , clause( 105669, [ 'c_lessequals'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105670, [ 'c_lessequals'( X,
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 20.19/20.63 , clause( 105671, [ 'c_lessequals'( X,
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 20.19/20.63 , clause( 105672, [ 'c_lessequals'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105673, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 20.19/20.63 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 20.19/20.63 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 20.19/20.63 )
% 20.19/20.63 , clause( 105674, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 20.19/20.63 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X
% 20.19/20.63 ), X ) ] )
% 20.19/20.63 , clause( 105675, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 20.19/20.63 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X
% 20.19/20.63 ), X ) ] )
% 20.19/20.63 , clause( 105676, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 20.19/20.63 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 20.19/20.63 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 20.19/20.63 )
% 20.19/20.63 , clause( 105677, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 20.19/20.63 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 20.19/20.63 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 20.19/20.63 )
% 20.19/20.63 , clause( 105678, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y
% 20.19/20.63 , 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ] )
% 20.19/20.63 , clause( 105679, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y
% 20.19/20.63 , 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ] )
% 20.19/20.63 , clause( 105680, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.63 Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105681, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 20.19/20.63 , clause( 105682, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 20.19/20.63 , clause( 105683, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 20.19/20.63 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 20.19/20.63 ) ) ] )
% 20.19/20.63 , clause( 105684, [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X
% 20.19/20.63 , Y ), Y ), ~( 'c_Relation_Osym'( X, Y ) ) ] )
% 20.19/20.63 , clause( 105685, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ] )
% 20.19/20.63 , clause( 105686, [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 20.19/20.63 'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X,
% 20.19/20.63 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 20.19/20.63 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ),
% 20.19/20.63 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105687, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( X ) ) ), ~( =(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( X ) ) ), =(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ] )
% 20.19/20.63 , clause( 105688, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105689, [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ] )
% 20.19/20.63 , clause( 105690, [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105691, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 20.19/20.63 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 20.19/20.63 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105692, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 20.19/20.63 Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool'
% 20.19/20.63 ) ) ) ] )
% 20.19/20.63 , clause( 105693, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 20.19/20.63 , clause( 105694, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 20.19/20.63 , clause( 105695, [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL(
% 20.19/20.63 hAPP( Y, X ) ) ) ] )
% 20.19/20.63 , clause( 105696, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'(
% 20.19/20.63 X, Z ), Z ) ) ) ] )
% 20.19/20.63 , clause( 105697, [ 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z
% 20.19/20.63 , Z ), Z ), ~( 'c_Relation_Orefl__on'( X, Y, Z ) ) ] )
% 20.19/20.63 , clause( 105698, [ 'c_Relation_Orefl__on'( X, Y, Z ), ~(
% 20.19/20.63 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ] )
% 20.19/20.63 , clause( 105699, [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ouminus__class_Ouminus'(
% 20.19/20.63 Y, 'tc_fun'( Z, 'tc_bool' ) ), T, Z ), 'c_HOL_Ouminus__class_Ouminus'(
% 20.19/20.63 'c_Set_Ovimage'( X, Y, T, Z ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105700, [ hBOOL( 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'(
% 20.19/20.63 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ), Y ) ), ~( hBOOL(
% 20.19/20.63 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ) ] )
% 20.19/20.63 , clause( 105701, [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U
% 20.19/20.63 ), 'c_Product__Type_OSigma'( W, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' )
% 20.19/20.63 , Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ), ~(
% 20.19/20.63 'c_lessequals'( Y, 'c_Product__Type_OSigma'( V1, 'c_COMBK'( V0, 'tc_fun'(
% 20.19/20.63 U, 'tc_bool' ), T ), T, U ), 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ) ) )
% 20.19/20.63 , ~( 'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 'c_COMBK'( V1,
% 20.19/20.63 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( Z, T ),
% 20.19/20.63 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105702, [ hBOOL( 'c_Wellfounded_Owf'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 20.19/20.63 Z, Z ), 'tc_bool' ) ), Z ) ), ~( 'c_lessequals'( 'c_Relation_Orel__comp'(
% 20.19/20.63 X, Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ), ~(
% 20.19/20.63 hBOOL( 'c_Wellfounded_Owf'( Y, Z ) ) ), ~( hBOOL( 'c_Wellfounded_Owf'( X
% 20.19/20.63 , Z ) ) ) ] )
% 20.19/20.63 , clause( 105703, [ hBOOL( 'c_Relation_Otrans'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 20.19/20.63 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ), ~( hBOOL(
% 20.19/20.63 'c_Relation_Otrans'( X, Y ) ) ) ] )
% 20.19/20.63 , clause( 105704, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL(
% 20.19/20.63 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ), Y ) ) ) ] )
% 20.19/20.63 , clause( 105705, [ hBOOL( hAPP(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ] )
% 20.19/20.63 , clause( 105706, [ hBOOL( hAPP(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ] )
% 20.19/20.63 , clause( 105707, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.63 'c_Relation_ODomain'( X, Y, Y ), 'c_Relation_ORange'( Z, Y, Y ), 'tc_fun'(
% 20.19/20.63 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 20.19/20.63 ) ) ) ), ~( hBOOL( 'c_Wellfounded_Owf'( Z, Y ) ) ), ~( hBOOL(
% 20.19/20.63 'c_Wellfounded_Owf'( X, Y ) ) ), hBOOL( 'c_Wellfounded_Owf'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 20.19/20.63 Y, Y ), 'tc_bool' ) ), Y ) ) ] )
% 20.19/20.63 , clause( 105708, [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ),
% 20.19/20.63 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 20.19/20.63 Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105709, [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~(
% 20.19/20.63 'c_Fun_Oinj__on'( X, Y, Z, Z ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y
% 20.19/20.63 , Z, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 20.19/20.63 , Z ) ) ] )
% 20.19/20.63 , clause( 105710, [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) )
% 20.19/20.63 , ~( hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y
% 20.19/20.63 , 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ] )
% 20.19/20.63 , clause( 105711, [ =( 'c_Product__Type_OSigma'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Product__Type_OSigma'( X
% 20.19/20.63 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 20.19/20.63 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 20.19/20.63 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105712, [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y
% 20.19/20.63 ), X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( hBOOL(
% 20.19/20.63 'c_Relation_Otrans'( X, Y ) ) ) ] )
% 20.19/20.63 , clause( 105713, [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'(
% 20.19/20.63 X, Y, Z, T, U ), Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ),
% 20.19/20.63 ~( 'c_Relation_Osingle__valued'( X, Z, T ) ) ] )
% 20.19/20.63 , clause( 105714, [ 'c_Relation_Oantisym'( X, Y ), ~( hBOOL(
% 20.19/20.63 'c_Order__Relation_Opartial__order__on'( Z, X, Y ) ) ) ] )
% 20.19/20.63 , clause( 105715, [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y
% 20.19/20.63 , Z ), Z, Y ), X ) ] )
% 20.19/20.63 , clause( 105716, [ 'c_Relation_Orefl__on'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, U,
% 20.19/20.63 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 20.19/20.63 'c_Relation_Orefl__on'( Y, U, Z ) ), ~( 'c_Relation_Orefl__on'( X, T, Z )
% 20.19/20.63 ) ] )
% 20.19/20.63 , clause( 105717, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 20.19/20.63 , clause( 105718, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 20.19/20.63 , clause( 105719, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 20.19/20.63 , clause( 105720, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 20.19/20.63 , clause( 105721, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105722, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105723, [ 'c_Relation_Orefl__on'( 'c_Orderings_Otop__class_Otop'(
% 20.19/20.63 'tc_fun'( X, 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( Y, X ), X )
% 20.19/20.63 ] )
% 20.19/20.63 , clause( 105724, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 20.19/20.63 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 20.19/20.63 , Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ] )
% 20.19/20.63 , clause( 105725, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 20.19/20.63 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( Z
% 20.19/20.63 , X, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ] )
% 20.19/20.63 , clause( 105726, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 20.19/20.63 , 'c_lessequals'( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 20.19/20.63 Y, Z, T, X ), hAPP( Z, U ), X ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ] )
% 20.19/20.63 , clause( 105727, [ 'c_lessequals'(
% 20.19/20.63 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, Z, 'tc_fun'(
% 20.19/20.63 T, 'tc_bool' ) ), hAPP( Y, U ), 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 20.19/20.63 'c_in'( U, X, Z ) ) ) ] )
% 20.19/20.63 , clause( 105728, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ] )
% 20.19/20.63 , clause( 105729, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ] )
% 20.19/20.63 , clause( 105730, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 20.19/20.63 X, 'tc_bool' ) ), Y ) ] )
% 20.19/20.63 , clause( 105731, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 20.19/20.63 'tc_bool' ) ), X ) ] )
% 20.19/20.63 , clause( 105732, [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X,
% 20.19/20.63 U, Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ] )
% 20.19/20.63 , clause( 105733, [ =( 'c_Order__Relation_Olinear__order__on'( 'v_A', 'v_r'
% 20.19/20.63 , 't_a' ), 'c_and'( 'c_Order__Relation_Opartial__order__on'( 'v_A', 'v_r'
% 20.19/20.63 , 't_a' ), 'c_Relation_Ototal__on'( 'v_A', 'v_r', 't_a' ) ) ) ] )
% 20.19/20.63 , clause( 105734, [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 20.19/20.63 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y,
% 20.19/20.63 Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ),
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 20.19/20.63 'c_in'( U, Y, T ) ) ) ] )
% 20.19/20.63 , clause( 105735, [ =( 'c_Relation_Orel__comp'(
% 20.19/20.63 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 20.19/20.63 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 20.19/20.63 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 20.19/20.63 , clause( 105736, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 20.19/20.63 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y )
% 20.19/20.63 , 'tc_fun'( Y, 'tc_bool' ) ) ), ~( hBOOL( 'c_Wellfounded_Owf'( Z, Y ) ) )
% 20.19/20.63 ] )
% 20.19/20.63 , clause( 105737, [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 20.19/20.63 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ] )
% 20.19/20.63 , clause( 105738, [ 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y
% 20.19/20.63 ), Y ), ~( 'c_Relation_Oantisym'( X, Y ) ) ] )
% 20.19/20.63 , clause( 105739, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'( X ), X )
% 20.19/20.63 , 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 20.19/20.63 , clause( 105740, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 20.19/20.63 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 20.19/20.63 ) ] )
% 20.19/20.63 , clause( 105741, [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'(
% 20.19/20.63 'tc_fun'( X, 'tc_bool' ) ), Y ) ) ) ] )
% 20.19/20.63 , clause( 105742, [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T
% 20.19/20.63 , Z ) ) ), ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ) ) ) ] )
% 20.19/20.63 , clause( 105743, [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z
% 20.19/20.63 , T ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'c_Set_Oimage'( X
% 20.19/20.63 , 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ),
% 20.19/20.63 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105744, [ hBOOL( 'c_Relation_Otrans'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 20.19/20.63 Z, Z ), 'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_Relation_Otrans'( Y, Z ) ) ),
% 20.19/20.63 ~( hBOOL( 'c_Relation_Otrans'( X, Z ) ) ) ] )
% 20.19/20.63 , clause( 105745, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ] )
% 20.19/20.63 , clause( 105746, [ 'c_Relation_Oantisym'( 'c_Transitive__Closure_Ortrancl'(
% 20.19/20.63 X, Y ), Y ), ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ] )
% 20.19/20.63 , clause( 105747, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ] )
% 20.19/20.63 , clause( 105748, [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 20.19/20.63 ) ) ), ~( =( 'c_Relation_Orel__comp'( T, Y, Z, Z, Z ),
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 20.19/20.63 ) ) ), =( 'c_Relation_Orel__comp'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( 'tc_prod'(
% 20.19/20.63 Z, Z ), 'tc_bool' ) ), Y, Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 20.19/20.63 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105749, [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 20.19/20.63 ) ) ), ~( =( 'c_Relation_Orel__comp'( X, T, Z, Z, Z ),
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 20.19/20.63 ) ) ), =( 'c_Relation_Orel__comp'( X,
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( 'tc_prod'(
% 20.19/20.63 Z, Z ), 'tc_bool' ) ), Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 20.19/20.63 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105750, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 20.19/20.63 , X ) ) ), =( Y, Z ) ] )
% 20.19/20.63 , clause( 105751, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 20.19/20.63 , X ) ) ), =( Y, Z ) ] )
% 20.19/20.63 , clause( 105752, [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 20.19/20.63 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 20.19/20.63 ) ) ) ), =( X, Z ) ] )
% 20.19/20.63 , clause( 105753, [ ~( =( 'c_Collect'( X, Y ),
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), ~( hBOOL(
% 20.19/20.63 hAPP( X, Z ) ) ) ] )
% 20.19/20.63 , clause( 105754, [ 'c_Wellfounded_Oacyclic'( X, Y ), ~(
% 20.19/20.63 'c_Wellfounded_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ] )
% 20.19/20.63 , clause( 105755, [ 'c_Wellfounded_Oacyclic'( 'c_Relation_Oconverse'( X, Y
% 20.19/20.63 , Y ), Y ), ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ] )
% 20.19/20.63 , clause( 105756, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 20.19/20.63 )
% 20.19/20.63 , clause( 105757, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 20.19/20.63 )
% 20.19/20.63 , clause( 105758, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 20.19/20.63 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 20.19/20.63 , clause( 105759, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 20.19/20.63 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 20.19/20.63 , clause( 105760, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 20.19/20.63 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 20.19/20.63 , clause( 105761, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ] )
% 20.19/20.63 , clause( 105762, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ] )
% 20.19/20.63 , clause( 105763, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 20.19/20.63 'c_lessequals'( Z, Y, X ) ) ] )
% 20.19/20.63 , clause( 105764, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 20.19/20.63 'c_lessequals'( Y, Z, X ) ] )
% 20.19/20.63 , clause( 105765, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 20.19/20.63 'c_lessequals'( Y, Z, X ) ) ] )
% 20.19/20.63 , clause( 105766, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105767, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105768, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 20.19/20.63 Y, 'tc_fun'( Z, 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ) ] )
% 20.19/20.63 , clause( 105769, [ 'c_Relation_Orefl__on'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, U,
% 20.19/20.63 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 20.19/20.63 'c_Relation_Orefl__on'( Y, U, Z ) ), ~( 'c_Relation_Orefl__on'( X, T, Z )
% 20.19/20.63 ) ] )
% 20.19/20.63 , clause( 105770, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ),
% 20.19/20.63 T ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 20.19/20.63 , clause( 105771, [ 'c_Relation_Oantisym'( 'c_Orderings_Obot__class_Obot'(
% 20.19/20.63 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ] )
% 20.19/20.63 , clause( 105772, [ =( 'c_Relation_ORange'( 'c_Orderings_Obot__class_Obot'(
% 20.19/20.63 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ),
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105773, [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y )
% 20.19/20.63 , 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 20.19/20.63 ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 20.19/20.63 X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 20.19/20.63 ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105774, [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 20.19/20.63 't_a', 'tc_bool' ) ), 'v_x' ), 'c_in'( 'v_x',
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ) )
% 20.19/20.63 ] )
% 20.19/20.63 , clause( 105775, [ =( 'c_Relation_ORange'(
% 20.19/20.63 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y ),
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105776, [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y
% 20.19/20.63 ), 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y )
% 20.19/20.63 , 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'(
% 20.19/20.63 Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105777, [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL(
% 20.19/20.63 'c_in'( X, T, Y ) ) ] )
% 20.19/20.63 , clause( 105778, [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'(
% 20.19/20.63 'tc_fun'( X, 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 20.19/20.63 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 20.19/20.63 , clause( 105779, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ouminus__class_Ouminus'(
% 20.19/20.63 X, 'tc_fun'( Y, 'tc_bool' ) ), Y ), ~( 'c_Finite__Set_Ofinite'(
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 20.19/20.63 'c_Finite__Set_Ofinite'( X, Y ) ) ] )
% 20.19/20.63 , clause( 105780, [ =( 'c_Transitive__Closure_Ortrancl'(
% 20.19/20.63 'c_Relation_Oconverse'( X, Y, Y ), Y ), 'c_Relation_Oconverse'(
% 20.19/20.63 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y ) ) ] )
% 20.19/20.63 , clause( 105781, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 20.19/20.63 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'(
% 20.19/20.63 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105782, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'(
% 20.19/20.63 'tc_fun'( X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 20.19/20.63 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ] )
% 20.19/20.63 , clause( 105783, [ ~( 'class_HOL_Ouminus'( 't_b' ) ), =( hAPP(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( 'v_A', 'tc_fun'( 't_a', 't_b' ) ), 'v_x'
% 20.19/20.63 ), 'c_HOL_Ouminus__class_Ouminus'( hAPP( 'v_A', 'v_x' ), 't_b' ) ) ] )
% 20.19/20.63 , clause( 105784, [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ),
% 20.19/20.63 'c_Relation_ODomain'( 'c_Relation_Oconverse'( 'v_r', 't_a', 't_b' ),
% 20.19/20.63 't_b', 't_a' ) ) ] )
% 20.19/20.63 , clause( 105785, [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'(
% 20.19/20.63 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ) ] )
% 20.19/20.63 , clause( 105786, [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'(
% 20.19/20.63 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ) ] )
% 20.19/20.63 , clause( 105787, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ] )
% 20.19/20.63 , clause( 105788, [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'(
% 20.19/20.63 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ) ] )
% 20.19/20.63 , clause( 105789, [ 'c_Relation_Orefl__on'( 'c_Orderings_Obot__class_Obot'(
% 20.19/20.63 'tc_fun'( X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 20.19/20.63 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ] )
% 20.19/20.63 , clause( 105790, [ hBOOL( 'c_Relation_Ototal__on'(
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X ) ) ] )
% 20.19/20.63 , clause( 105791, [ 'c_lessequals'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, U,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 20.19/20.63 Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z
% 20.19/20.63 , 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105792, [ =( 'c_Relation_Oconverse'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 20.19/20.63 Z, T ), 'tc_bool' ) ), Z, T ),
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Oconverse'( X,
% 20.19/20.63 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 20.19/20.63 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105793, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ] )
% 20.19/20.63 , clause( 105794, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ] )
% 20.19/20.63 , clause( 105795, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.19/20.63 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 20.19/20.63 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 20.19/20.63 )
% 20.19/20.63 , clause( 105796, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.19/20.63 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 20.19/20.63 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 20.19/20.63 )
% 20.19/20.63 , clause( 105797, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.19/20.63 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 20.19/20.63 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 20.19/20.63 )
% 20.19/20.63 , clause( 105798, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.19/20.63 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 20.19/20.63 Z, X ) ] )
% 20.19/20.63 , clause( 105799, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.19/20.63 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 20.19/20.63 Y, X ) ] )
% 20.19/20.63 , clause( 105800, [ 'c_lessequals'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 20.19/20.63 , clause( 105801, [ =( 'c_Product__Type_OSigma'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 20.19/20.63 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105802, [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ),
% 20.19/20.63 'c_Set_Ovimage'( X, U, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 20.19/20.63 'c_lessequals'( Y, U, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105803, [ =( 'c_Relation_Oconverse'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 20.19/20.63 Z, T ), 'tc_bool' ) ), Z, T ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_Oconverse'( X,
% 20.19/20.63 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 20.19/20.63 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105804, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 20.19/20.63 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 20.19/20.63 Z, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105805, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 20.19/20.63 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 20.19/20.63 Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105806, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 20.19/20.63 , clause( 105807, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 20.19/20.63 , clause( 105808, [ =( 'c_Relation_Orel__comp'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 20.19/20.63 Z, T ), 'tc_bool' ) ), U, Z, T, W ),
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 20.19/20.63 , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'(
% 20.19/20.63 'tc_prod'( Z, W ), 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105809, [ =( 'c_Relation_Orel__comp'( X,
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 20.19/20.63 T, U ), 'tc_bool' ) ), W, T, U ),
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 20.19/20.63 , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'(
% 20.19/20.63 'tc_prod'( W, U ), 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105810, [ 'c_Relation_Osingle__valued'( 'c_Nat_Ocompow'( X, Y,
% 20.19/20.63 'tc_prod'( Z, Z ), 'tc_bool' ), Z, Z ), ~( 'c_Relation_Osingle__valued'(
% 20.19/20.63 Y, Z, Z ) ) ] )
% 20.19/20.63 , clause( 105811, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 20.19/20.63 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105812, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 20.19/20.63 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105813, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.19/20.63 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 20.19/20.63 , clause( 105814, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.19/20.63 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 20.19/20.63 , clause( 105815, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.19/20.63 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 20.19/20.63 T, X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 20.19/20.63 , clause( 105816, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.19/20.63 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 20.19/20.63 T, X ), ~( 'c_lessequals'( Z, T, X ) ) ] )
% 20.19/20.63 , clause( 105817, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.19/20.63 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 20.19/20.63 , clause( 105818, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.19/20.63 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 20.19/20.63 , clause( 105819, [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) )
% 20.19/20.63 , ~( hBOOL( 'c_in'( hAPP( Y, X ), Z, U ) ) ) ] )
% 20.19/20.63 , clause( 105820, [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) )
% 20.19/20.63 , ~( hBOOL( 'c_in'( hAPP( Y, X ), Z, U ) ) ) ] )
% 20.19/20.63 , clause( 105821, [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) )
% 20.19/20.63 , ~( hBOOL( 'c_in'( hAPP( Y, X ), Z, U ) ) ) ] )
% 20.19/20.63 , clause( 105822, [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'(
% 20.19/20.63 Y, 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ] )
% 20.19/20.63 , clause( 105823, [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'(
% 20.19/20.63 Y, 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ] )
% 20.19/20.63 , clause( 105824, [ ~( =(
% 20.19/20.63 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, Z, 'tc_fun'(
% 20.19/20.63 T, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool'
% 20.19/20.63 ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ] )
% 20.19/20.63 , clause( 105825, [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL(
% 20.19/20.63 'c_in'( T, Z, U ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W
% 20.19/20.63 , X, V0, V1, V2, V3, V4, U ) ) ] )
% 20.19/20.63 , clause( 105826, [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL(
% 20.19/20.63 'c_in'( Y, T, U ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z
% 20.19/20.63 , X, V0, V1, V2, V3, V4, U ) ) ] )
% 20.19/20.63 , clause( 105827, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 20.19/20.63 ), =( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 20.19/20.63 , X ), X ), X ) ) ] )
% 20.19/20.63 , clause( 105828, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105829, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 20.19/20.63 , clause( 105830, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 20.19/20.63 , clause( 105831, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 20.19/20.63 Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105832, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 20.19/20.63 , X ), X ) ) ] )
% 20.19/20.63 , clause( 105833, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 20.19/20.63 ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 20.19/20.63 , X ), X ) ) ] )
% 20.19/20.63 , clause( 105834, [ =( 'c_Relation_ODomain'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 20.19/20.63 Z, T ), 'tc_bool' ) ), Z, T ),
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 20.19/20.63 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105835, [ =( 'c_Relation_Orel__comp'( X, 'c_Nat_Ocompow'( Y, X,
% 20.19/20.63 'tc_prod'( Z, Z ), 'tc_bool' ), Z, Z, Z ), 'c_Relation_Orel__comp'(
% 20.19/20.63 'c_Nat_Ocompow'( Y, X, 'tc_prod'( Z, Z ), 'tc_bool' ), X, Z, Z, Z ) ) ]
% 20.19/20.63 )
% 20.19/20.63 , clause( 105836, [ =( 'c_Product__Type_OSigma'(
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, Z ), 'tc_bool' )
% 20.19/20.63 ) ) ] )
% 20.19/20.63 , clause( 105837, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105838, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 20.19/20.63 , clause( 105839, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 20.19/20.63 , clause( 105840, [ ~( =( 'c_Relation_ODomain'( X, Y, Z ),
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' )
% 20.19/20.63 ) ) ] )
% 20.19/20.63 , clause( 105841, [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 20.19/20.63 'tc_bool' ) ), 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'(
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), Z, X ) ) ] )
% 20.19/20.63 , clause( 105842, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 20.19/20.63 Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105843, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 20.19/20.63 , X ), X ) ) ] )
% 20.19/20.63 , clause( 105844, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 20.19/20.63 ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 20.19/20.63 , X ), X ) ) ] )
% 20.19/20.63 , clause( 105845, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 20.19/20.63 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 20.19/20.63 ) ) ) ] )
% 20.19/20.63 , clause( 105846, [ =( 'c_Relation_ODomain'(
% 20.19/20.63 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ), 'c_Relation_ODomain'( X
% 20.19/20.63 , Y, Y ) ) ] )
% 20.19/20.63 , clause( 105847, [ =( 'c_Relation_ODomain'(
% 20.19/20.63 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y ),
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105848, [ 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 20.19/20.63 ), ~( 'c_Relation_Osym'( X, Y ) ) ] )
% 20.19/20.63 , clause( 105849, [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'(
% 20.19/20.63 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ] )
% 20.19/20.63 , clause( 105850, [ 'c_Relation_Osym'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Oconverse'(
% 20.19/20.63 X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ] )
% 20.19/20.63 , clause( 105851, [ hBOOL( 'c_Order__Relation_Owell__order__on'(
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 20.19/20.63 ), X ) ) ] )
% 20.19/20.63 , clause( 105852, [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ),
% 20.19/20.63 'c_Finite__Set_Ofinite'( Y, X ) ] )
% 20.19/20.63 , clause( 105853, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'c_Collect'( T, Z ),
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ] )
% 20.19/20.63 , clause( 105854, [ =( 'c_Set_Ovimage'( X,
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ), U, T ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 20.19/20.63 , 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105855, [ 'c_lessequals'( 'c_Relation_ORange'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 20.19/20.63 Z, T ), 'tc_bool' ) ), Z, T ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ORange'( X, Z,
% 20.19/20.63 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 20.19/20.63 T, 'tc_bool' ) ) ] )
% 20.19/20.63 , clause( 105856, [ =( 'c_Transitive__Closure_Ortrancl'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 20.19/20.63 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 20.19/20.63 'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 20.19/20.63 Y, Y ), 'tc_bool' ) ), Y ) ) ] )
% 20.19/20.63 , clause( 105857, [ ~( =( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ),
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 20.19/20.63 ) ) ), hBOOL( 'c_Wellfounded_Owf'( X, Y ) ) ] )
% 20.19/20.63 , clause( 105858, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 20.19/20.63 Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105859, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ), Y ) ) ) ] )
% 20.19/20.63 , clause( 105860, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ), Y ) ) ) ] )
% 20.19/20.63 , clause( 105861, [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y
% 20.19/20.63 ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 20.19/20.63 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.63 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y )
% 20.19/20.63 , 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 20.19/20.63 ) ) ), ~( 'c_lessequals'( 'c_Relation_OId'( Y ), Z, 'tc_fun'( 'tc_prod'(
% 20.19/20.63 Y, Y ), 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105862, [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y,
% 20.19/20.63 'c_Set_Oimage'( X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 20.19/20.63 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 20.19/20.63 , clause( 105863, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X
% 20.19/20.63 , 'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), Z, T ) ) ] )
% 20.19/20.63 , clause( 105864, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X
% 20.19/20.63 , 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), Z, T ) ) ] )
% 20.19/20.63 , clause( 105865, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 20.19/20.63 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105866, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 20.19/20.63 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 20.19/20.63 Z, 'tc_bool' ) ) ) ), 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'(
% 20.19/20.63 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 20.19/20.63 , clause( 105867, [ hBOOL( 'c_Wellfounded_Owf'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 20.19/20.63 Z, Z ), 'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_Wellfounded_Owf'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 20.19/20.63 , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'(
% 20.19/20.63 'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 20.19/20.63 'tc_bool' ) ), Z ) ) ) ] )
% 20.19/20.63 , clause( 105868, [ hBOOL( 'c_Wellfounded_Owf'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 20.19/20.63 , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'(
% 20.19/20.63 'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 20.19/20.63 'tc_bool' ) ), Y ) ), ~( hBOOL( 'c_Wellfounded_Owf'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 20.19/20.63 Y, Y ), 'tc_bool' ) ), Y ) ) ) ] )
% 20.19/20.63 , clause( 105869, [ 'c_Relation_Osym'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 20.19/20.63 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'( Y, Z ) ), ~(
% 20.19/20.63 'c_Relation_Osym'( X, Z ) ) ] )
% 20.19/20.63 , clause( 105870, [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), U,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( X, U, Z
% 20.19/20.63 , T ), 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ] )
% 20.19/20.63 , clause( 105871, [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~(
% 20.19/20.63 hBOOL( 'c_Relation_Otrans'( X, Y ) ) ) ] )
% 20.19/20.63 , clause( 105872, [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X,
% 20.19/20.63 Y ), Y ), ~( 'c_Relation_Osym'( X, Y ) ) ] )
% 20.19/20.63 , clause( 105873, [ 'c_lessequals'( X, 'c_Relation_Orel__comp'(
% 20.19/20.63 'c_Relation_Oconverse'( X, Y, Y ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y,
% 20.19/20.63 Y ), 'tc_bool' ) ), ~( 'c_Relation_Orefl__on'( Z, X, Y ) ) ] )
% 20.19/20.63 , clause( 105874, [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T
% 20.19/20.63 , X ), 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ] )
% 20.19/20.63 , clause( 105875, [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T
% 20.19/20.63 , X ), 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ] )
% 20.19/20.63 , clause( 105876, [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U
% 20.19/20.63 ), U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ] )
% 20.19/20.63 , clause( 105877, [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U
% 20.19/20.63 ), U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ] )
% 20.19/20.63 , clause( 105878, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 20.19/20.63 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105879, [ 'c_lessequals'( X,
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'(
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ), Z,
% 20.19/20.63 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105880, [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'(
% 20.19/20.63 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'(
% 20.19/20.63 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105881, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 20.19/20.63 Y, 'tc_bool' ) ), X ) ] )
% 20.19/20.63 , clause( 105882, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 20.19/20.63 ), Y ) ] )
% 20.19/20.63 , clause( 105883, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 20.19/20.63 ), Y ) ] )
% 20.19/20.63 , clause( 105884, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 20.19/20.63 ) ) ] )
% 20.19/20.63 , clause( 105885, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 20.19/20.63 ) ) ] )
% 20.19/20.63 , clause( 105886, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 20.19/20.63 ), Y ) ] )
% 20.19/20.63 , clause( 105887, [ =( 'c_Set_Ovimage'( X,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ), U, T ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.63 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 20.19/20.63 , 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105888, [ 'c_Finite__Set_Ofinite'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 20.19/20.63 , clause( 105889, [ 'c_Finite__Set_Ofinite'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ] )
% 20.19/20.63 , clause( 105890, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z
% 20.19/20.63 ), hAPP( T, Z ), X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ] )
% 20.19/20.63 , clause( 105891, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 20.19/20.63 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 20.19/20.63 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 20.19/20.63 , clause( 105892, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 20.19/20.63 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 20.19/20.63 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 20.19/20.63 , clause( 105893, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 20.19/20.63 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 20.19/20.63 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 20.19/20.63 , clause( 105894, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 20.19/20.63 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 20.19/20.63 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 20.19/20.63 , clause( 105895, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 20.19/20.63 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ),
% 20.19/20.63 ~( 'c_lessequals'( U, T, X ) ) ] )
% 20.19/20.63 , clause( 105896, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 20.19/20.63 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ),
% 20.19/20.63 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 20.19/20.63 , clause( 105897, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 20.19/20.63 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 20.19/20.63 , clause( 105898, [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( X ), X ) ] )
% 20.19/20.63 , clause( 105899, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( X ), Y, X ), Y ) ] )
% 20.19/20.63 , clause( 105900, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( X ), X ), Y ) ] )
% 20.19/20.63 , clause( 105901, [ 'c_lessequals'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 20.19/20.63 , clause( 105902, [ 'c_lessequals'( X,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z,
% 20.19/20.63 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105903, [ 'c_lessequals'( X,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z,
% 20.19/20.63 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105904, [ =( 'c_Product__Type_OSigma'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( X
% 20.19/20.63 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 20.19/20.63 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 20.19/20.63 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105905, [ =(
% 20.19/20.63 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105906, [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( hAPP( Y, 'v_x' ), X ) ) ] )
% 20.19/20.63 , clause( 105907, [ =(
% 20.19/20.63 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 20.19/20.63 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105908, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 20.19/20.63 , clause( 105909, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 20.19/20.63 , clause( 105910, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 20.19/20.63 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105911, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105912, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 20.19/20.63 'tc_bool' ) ), 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ] )
% 20.19/20.63 , clause( 105913, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( X ), X )
% 20.19/20.63 , 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 20.19/20.63 , clause( 105914, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 20.19/20.63 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) )
% 20.19/20.63 ) ] )
% 20.19/20.63 , clause( 105915, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 20.19/20.63 , clause( 105916, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 20.19/20.63 , clause( 105917, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105918, [ =( hAPP( 'c_Order__Relation_Ostrict__linear__order__on'(
% 20.19/20.63 'v_A', 't_a' ), 'v_r' ), 'c_and'( 'c_Relation_Otrans'( 'v_r', 't_a' ),
% 20.19/20.63 'c_and'( 'c_Relation_Oirrefl'( 'v_r', 't_a' ), 'c_Relation_Ototal__on'(
% 20.19/20.63 'v_A', 'v_r', 't_a' ) ) ) ) ] )
% 20.19/20.63 , clause( 105919, [ =( 'c_Relation_OImage'( X,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.63 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 20.19/20.63 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'(
% 20.19/20.63 'c_Relation_Oconverse'( X, T, U ), U, T ) ) ] )
% 20.19/20.63 , clause( 105920, [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 20.19/20.63 , 'tc_bool' ) ) ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X
% 20.19/20.63 , U, W, V0, V1, Z, V2, Y ) ) ] )
% 20.19/20.63 , clause( 105921, [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 20.19/20.63 , 'tc_bool' ) ) ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T
% 20.19/20.63 , U, W, V0, V1, V2, Z, Y ) ) ] )
% 20.19/20.63 , clause( 105922, [ hBOOL( 'c_in'( X,
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ] )
% 20.19/20.63 , clause( 105923, [ hBOOL( 'c_in'( X,
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ] )
% 20.19/20.63 , clause( 105924, [ =( 'c_Relation_ORange'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 20.19/20.63 Z, T ), 'tc_bool' ) ), Z, T ),
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z,
% 20.19/20.63 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105925, [ hBOOL( hAPP(
% 20.19/20.63 'c_Order__Relation_Ostrict__linear__order__on'( X, Y ), Z ) ), ~( hBOOL(
% 20.19/20.63 'c_Relation_Ototal__on'( X, Z, Y ) ) ), ~( hBOOL( 'c_Relation_Oirrefl'( Z
% 20.19/20.63 , Y ) ) ), ~( hBOOL( 'c_Relation_Otrans'( Z, Y ) ) ) ] )
% 20.19/20.63 , clause( 105926, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ] )
% 20.19/20.63 , clause( 105927, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X,
% 20.19/20.63 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 20.19/20.63 , clause( 105928, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 20.19/20.63 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 20.19/20.63 , clause( 105929, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 20.19/20.63 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 20.19/20.63 , clause( 105930, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 20.19/20.63 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 20.19/20.63 ), X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 20.19/20.63 , clause( 105931, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 20.19/20.63 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 20.19/20.63 ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 20.19/20.63 , clause( 105932, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 20.19/20.63 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 20.19/20.63 , clause( 105933, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 20.19/20.63 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 20.19/20.63 , clause( 105934, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 20.19/20.63 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, T,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105935, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 20.19/20.63 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, X,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105936, [ =( 'c_Relation_ODomain'( 'c_Relation_Oconverse'( X, Y,
% 20.19/20.63 Z ), Z, Y ), 'c_Relation_ORange'( X, Y, Z ) ) ] )
% 20.19/20.63 , clause( 105937, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 20.19/20.63 ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 20.19/20.63 ), hAPP( Z, 'v_x' ), X ) ) ] )
% 20.19/20.63 , clause( 105938, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 20.19/20.63 Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 20.19/20.63 )
% 20.19/20.63 , clause( 105939, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z )
% 20.19/20.63 ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105940, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z )
% 20.19/20.63 ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105941, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 20.19/20.63 , clause( 105942, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ] )
% 20.19/20.63 , clause( 105943, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z )
% 20.19/20.63 ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105944, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 20.19/20.63 , clause( 105945, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 20.19/20.63 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 20.19/20.63 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105946, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U
% 20.19/20.63 , 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ] )
% 20.19/20.63 , clause( 105947, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~(
% 20.19/20.63 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105948, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 20.19/20.63 Y, X ) ] )
% 20.19/20.63 , clause( 105949, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 20.19/20.63 Y, Y, X ) ] )
% 20.19/20.63 , clause( 105950, [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 20.19/20.63 Z, Y ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 20.19/20.63 ) ) ) ] )
% 20.19/20.63 , clause( 105951, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 20.19/20.63 'c_Finite__Set_Ofinite'( Z, Y ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y,
% 20.19/20.63 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105952, [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X,
% 20.19/20.63 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ] )
% 20.19/20.63 , clause( 105953, [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_lessequals'( X
% 20.19/20.63 , Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~(
% 20.19/20.63 'c_Wellfounded_Oacyclic'( Z, Y ) ) ] )
% 20.19/20.63 , clause( 105954, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X,
% 20.19/20.63 Z, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ]
% 20.19/20.63 )
% 20.19/20.63 , clause( 105955, [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~(
% 20.19/20.63 'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T,
% 20.19/20.63 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105956, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 20.19/20.63 Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 20.19/20.63 ] )
% 20.19/20.63 , clause( 105957, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( 'c_in'( Y,
% 20.19/20.63 T, U ) ) ), ~( hBOOL( hAPP(
% 20.19/20.63 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, X, U, 'tc_fun'(
% 20.19/20.63 W, 'tc_bool' ) ), Z ) ) ) ] )
% 20.19/20.63 , clause( 105958, [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( hAPP( hAPP( T,
% 20.19/20.63 X ), U ) ), ~( hBOOL( hAPP(
% 20.19/20.63 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, T, Z, 'tc_fun'(
% 20.19/20.63 W, 'tc_bool' ) ), U ) ) ) ] )
% 20.19/20.63 , clause( 105959, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( 'c_in'( Y,
% 20.19/20.63 T, U ) ) ), ~( hBOOL( hAPP(
% 20.19/20.63 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, X, U, 'tc_fun'(
% 20.19/20.63 W, 'tc_bool' ) ), Z ) ) ) ] )
% 20.19/20.63 , clause( 105960, [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 20.19/20.63 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 20.19/20.63 Y, Y ) ) ] )
% 20.19/20.63 , clause( 105961, [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 20.19/20.63 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y ), Y,
% 20.19/20.63 Y, Y ) ) ] )
% 20.19/20.63 , clause( 105962, [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ),
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y,
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105963, [ 'c_lessequals'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, U,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 20.19/20.63 Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z
% 20.19/20.63 , 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105964, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 20.19/20.63 T, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105965, [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 20.19/20.63 Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'(
% 20.19/20.63 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 20.19/20.63 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ),
% 20.19/20.63 ~( 'c_lessequals'( Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 20.19/20.63 'c_Fun_Oinj__on'( X, W, T, U ) ) ] )
% 20.19/20.63 , clause( 105966, [ =(
% 20.19/20.63 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.63 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, Z, 'tc_fun'(
% 20.19/20.63 U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 20.19/20.63 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105967, [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ),
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( 'c_Set_Oimage'( X, Y, Z, T ), 'tc_fun'( T
% 20.19/20.63 , 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_Fun_Oinj__on'( X,
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ] )
% 20.19/20.63 , clause( 105968, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 20.19/20.63 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( X
% 20.19/20.63 , 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105969, [ hBOOL( 'c_in'( X,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'c_Collect'( Z, T ),
% 20.19/20.63 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Z, X ) ) ), ~( hBOOL(
% 20.19/20.63 'c_in'( X, Y, T ) ) ) ] )
% 20.19/20.63 , clause( 105970, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 20.19/20.63 X, Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, X, T,
% 20.19/20.63 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 20.19/20.63 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, X, T, 'tc_fun'(
% 20.19/20.63 U, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ] )
% 20.19/20.63 , clause( 105971, [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ),
% 20.19/20.63 'c_Relation_ODomain'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~(
% 20.19/20.63 'c_lessequals'( X, T, 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105972, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 20.19/20.63 T, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105973, [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'(
% 20.19/20.63 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ] )
% 20.19/20.63 , clause( 105974, [ hBOOL( 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( hBOOL(
% 20.19/20.63 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ) ]
% 20.19/20.63 )
% 20.19/20.63 , clause( 105975, [ hBOOL( 'c_Relation_Ototal__on'( X,
% 20.19/20.63 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ), ~( hBOOL(
% 20.19/20.63 'c_Relation_Ototal__on'( X, Y, Z ) ) ) ] )
% 20.19/20.63 , clause( 105976, [ =( 'c_Product__Type_OSigma'( X, 'c_COMBK'(
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 20.19/20.63 'tc_bool' ), Z ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 20.19/20.63 'tc_prod'( Z, Y ), 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105977, [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP(
% 20.19/20.63 'c_Set_Ovimage'( Y, X, T, U ), Z ) ) ) ] )
% 20.19/20.63 , clause( 105978, [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~(
% 20.19/20.63 hBOOL( hAPP( Y, hAPP( X, U ) ) ) ) ] )
% 20.19/20.63 , clause( 105979, [ hBOOL( 'c_Order__Relation_Opartial__order__on'( X,
% 20.19/20.63 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ), ~( hBOOL(
% 20.19/20.63 'c_Order__Relation_Opartial__order__on'( X, Y, Z ) ) ) ] )
% 20.19/20.63 , clause( 105980, [ hBOOL( 'c_Order__Relation_Opartial__order__on'( X, Y, Z
% 20.19/20.63 ) ), ~( hBOOL( 'c_Order__Relation_Opartial__order__on'( X,
% 20.19/20.63 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ) ] )
% 20.19/20.63 , clause( 105981, [ hBOOL( 'c_in'( X,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~( hBOOL( 'c_in'(
% 20.19/20.63 X, Y, T ) ) ) ] )
% 20.19/20.63 , clause( 105982, [ hBOOL( 'c_in'( X,
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~( hBOOL( 'c_in'(
% 20.19/20.63 X, Y, T ) ) ) ] )
% 20.19/20.63 , clause( 105983, [ hBOOL( hAPP(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL( hAPP( X, T )
% 20.19/20.63 ) ) ] )
% 20.19/20.63 , clause( 105984, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 20.19/20.63 ), =( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.63 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 20.19/20.63 , X ), X ), X ) ) ] )
% 20.19/20.63 , clause( 105985, [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 20.19/20.63 'c_in'( X, T, Y ) ) ) ] )
% 20.19/20.63 , clause( 105986, [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ),
% 20.19/20.63 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 20.19/20.63 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105987, [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 20.19/20.63 'c_lessequals'( 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U
% 20.19/20.63 ), 'tc_fun'( U, 'tc_bool' ) ) ] )
% 20.19/20.63 , clause( 105988, [ hBOOL( 'c_Order__Relation_Olinear__order__on'(
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 20.19/20.63 ), X ) ) ] )
% 20.19/20.63 , clause( 105989, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z
% 20.19/20.63 , X, Y, T ) ), ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ),
% 20.19/20.63 T ) ) ] )
% 20.19/20.63 , clause( 105990, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 20.19/20.63 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 20.19/20.63 ) ] )
% 20.19/20.63 , clause( 105991, [ 'c_Relation_Osym'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Relation_Oconverse'(
% 20.19/20.63 X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ] )
% 20.19/20.63 , clause( 105992, [ =( 'c_Set_Oimage'( X,
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 20.19/20.63 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105993, [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'(
% 20.19/20.63 'tc_fun'( Y, 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'(
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105994, [ =( 'c_Transitive__Closure_Otrancl'(
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 20.19/20.63 ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ),
% 20.19/20.63 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105995, [ ~( =( 'c_Relation_ORange'( X, Y, Z ),
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X,
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' )
% 20.19/20.63 ) ) ] )
% 20.19/20.63 , clause( 105996, [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ),
% 20.19/20.63 'c_Relation_OImage'( U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 20.19/20.63 'c_lessequals'( Y, W, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 20.19/20.63 , U, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 105997, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 20.19/20.63 , 'c_lessequals'( Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X )
% 20.19/20.63 , ~( hBOOL( 'c_in'( Y, Z, X ) ) ) ] )
% 20.19/20.63 , clause( 105998, [ =( 'c_Transitive__Closure_Ortrancl'(
% 20.19/20.63 'c_Transitive__Closure_Otrancl'( X, Y ), Y ),
% 20.19/20.63 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 20.19/20.63 , clause( 105999, [ =( 'c_Transitive__Closure_Ortrancl'(
% 20.19/20.63 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 20.19/20.63 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 20.19/20.63 , clause( 106000, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 20.19/20.63 Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 20.19/20.63 , clause( 106001, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 20.19/20.63 , clause( 106002, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 20.19/20.63 , clause( 106003, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( X ), Y, X ),
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 20.19/20.63 , clause( 106004, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( X ), X ), 'c_Orderings_Otop__class_Otop'(
% 20.19/20.63 X ) ) ] )
% 20.19/20.63 , clause( 106005, [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ),
% 20.19/20.63 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 20.19/20.63 'tc_bool' ) ), X ) ] )
% 20.19/20.63 , clause( 106006, [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'(
% 20.19/20.63 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 20.19/20.63 , clause( 106007, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 20.19/20.63 'tc_bool' ) ), X ) ] )
% 20.19/20.63 , clause( 106008, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 20.19/20.63 X, 'tc_bool' ) ), Y ) ] )
% 20.19/20.63 , clause( 106009, [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 20.19/20.63 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 20.19/20.63 ) ) ] )
% 20.19/20.63 , clause( 106010, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~(
% 20.19/20.63 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ), T, U ) ), =( Y, Z ) ] )
% 20.19/20.63 , clause( 106011, [ hBOOL( 'c_in'( X, 'c_Orderings_Otop__class_Otop'(
% 20.19/20.63 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ] )
% 20.19/20.63 , clause( 106012, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 20.19/20.63 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.19/20.63 ) ] )
% 20.19/20.63 , clause( 106013, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 20.19/20.63 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 20.19/20.63 ) ) ) ] )
% 20.19/20.63 , clause( 106014, [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'(
% 20.19/20.63 'tc_fun'( Y, 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'(
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 106015, [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y
% 20.19/20.63 , 'tc_bool' ) ) ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T
% 20.19/20.63 , U, W, V0, V1, Z, V2, Y ) ) ] )
% 20.19/20.63 , clause( 106016, [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y
% 20.19/20.63 , 'tc_bool' ) ) ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X
% 20.19/20.63 , U, W, V0, V1, V2, Z, Y ) ) ] )
% 20.19/20.63 , clause( 106017, [ =( 'c_HOL_Ominus__class_Ominus'(
% 20.19/20.63 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z
% 20.19/20.63 , 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 106018, [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 20.19/20.63 Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'(
% 20.19/20.63 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 20.19/20.63 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 20.19/20.63 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ] )
% 20.19/20.63 , clause( 106019, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 20.19/20.63 T, 'tc_bool' ) ), Z ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' )
% 20.19/20.63 ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 106020, [ =( 'c_HOL_Ominus__class_Ominus'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 20.19/20.63 Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 106021, [ =( 'c_HOL_Ominus__class_Ominus'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 106022, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'(
% 20.19/20.63 Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 106023, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 106024, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 20.19/20.63 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 20.19/20.63 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 20.19/20.63 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 106025, [ =( 'c_HOL_Ominus__class_Ominus'(
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 20.19/20.63 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 20.19/20.63 ) ) ) ] )
% 20.19/20.63 , clause( 106026, [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y,
% 20.19/20.63 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.19/20.63 ) ] )
% 20.19/20.63 , clause( 106027, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 20.19/20.63 'tc_bool' ) ), X ) ] )
% 20.19/20.63 , clause( 106028, [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 20.19/20.63 )
% 20.19/20.63 , clause( 106029, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 20.19/20.63 )
% 20.19/20.63 , clause( 106030, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'(
% 20.19/20.63 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 20.19/20.63 ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 20.19/20.63 , clause( 106031, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 20.19/20.63 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y
% 20.19/20.63 , 'tc_bool' ) ), Y ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ] )
% 20.19/20.63 , clause( 106032, [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y
% 20.19/20.63 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'(
% 20.19/20.63 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 20.19/20.63 , 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 106033, [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 20.19/20.63 , 'tc_fun'( T, 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) )
% 20.19/20.63 ] )
% 20.19/20.63 , clause( 106034, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'(
% 20.19/20.63 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 20.19/20.63 ) ] )
% 20.19/20.63 , clause( 106035, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 20.19/20.63 , clause( 106036, [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 20.19/20.63 'tc_fun'( T, 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL(
% 20.19/20.63 'c_in'( X, Y, T ) ) ) ] )
% 20.19/20.63 , clause( 106037, [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 20.19/20.63 'tc_fun'( T, 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL(
% 20.19/20.63 'c_in'( X, Y, T ) ) ) ] )
% 20.19/20.63 , clause( 106038, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 106039, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 20.19/20.63 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 106040, [ =( 'c_HOL_Ominus__class_Ominus'(
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 20.19/20.63 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 20.19/20.63 Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 106041, [ hBOOL( 'c_Wellfounded_Owf'( 'c_Wellfounded_Omeasure'( X
% 20.19/20.63 , Y ), Y ) ) ] )
% 20.19/20.63 , clause( 106042, [ hBOOL( 'c_Wellfounded_Owf'( X, Y ) ), ~( 'c_lessequals'(
% 20.19/20.63 X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( hBOOL(
% 20.19/20.63 'c_Wellfounded_Owf'( Z, Y ) ) ) ] )
% 20.19/20.63 , clause( 106043, [ hBOOL( 'c_Wellfounded_Owf'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 20.19/20.63 Z, Z ), 'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_Wellfounded_Owf'( Y, Z ) ) ) ]
% 20.19/20.63 )
% 20.19/20.63 , clause( 106044, [ hBOOL( 'c_Wellfounded_Owf'(
% 20.19/20.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 20.19/20.63 Z, Z ), 'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_Wellfounded_Owf'( X, Z ) ) ) ]
% 20.19/20.63 )
% 20.19/20.63 , clause( 106045, [ hBOOL( 'c_Wellfounded_Owf'( X, Y ) ), ~( hBOOL(
% 20.19/20.63 'c_Wellfounded_Owf'( 'c_Nat_Ocompow'( Z, X, 'tc_prod'( Y, Y ), 'tc_bool'
% 20.19/20.63 ), Y ) ) ) ] )
% 20.19/20.63 , clause( 106046, [ hBOOL( 'c_Wellfounded_Owf'( 'c_List_Omeasures'( X, Y )
% 20.19/20.63 , Y ) ) ] )
% 20.19/20.63 , clause( 106047, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 20.19/20.63 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, Z, T ) ) ) ), ~(
% 20.19/20.63 hBOOL( 'c_Wellfounded_Owf'( Z, T ) ) ) ] )
% 20.19/20.63 , clause( 106048, [ hBOOL( 'c_Wellfounded_Owf'( 'c_Wellfounded_Omlex__prod'(
% 20.19/20.63 X, Y, Z ), Z ) ), ~( hBOOL( 'c_Wellfounded_Owf'( Y, Z ) ) ) ] )
% 20.19/20.63 , clause( 106049, [ hBOOL( 'c_Wellfounded_Owf'(
% 20.19/20.63 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ), ~( hBOOL(
% 20.19/20.63 'c_Wellfounded_Owf'( X, Y ) ) ) ] )
% 20.19/20.63 , clause( 106050, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 20.19/20.63 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, Z, T ) ) ) ),
% 20.19/20.63 ~( hBOOL( 'c_Wellfounded_Owf'( Z, T ) ) ) ] )
% 20.19/20.63 , clause( 106051, [ hBOOL( 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X
% 20.19/20.63 , Y, Z, T ), T ) ), ~( hBOOL( 'c_Wellfounded_Owf'( X, Z ) ) ) ] )
% 20.19/20.63 , clause( 106052, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 20.19/20.63 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, Z, T ) ) ) ), ~( hBOOL(
% 20.19/20.63 'c_Wellfounded_Owf'( Z, T ) ) ) ] )
% 20.19/20.63 , clause( 106053, [ hBOOL( 'c_Wellfounded_Owf'( X, Y ) ), ~( hBOOL(
% 20.19/20.63 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ) ]
% 20.19/20.63 )
% 20.19/20.63 , clause( 106054, [ hBOOL( 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X
% 20.19/20.63 , X, Y, Y, Y ), Y ) ), ~( hBOOL( 'c_Wellfounded_Owf'( X, Y ) ) ) ] )
% 20.19/20.63 , clause( 106055, [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( hBOOL(
% 20.19/20.63 'c_Wellfounded_Owf'( X, Y ) ) ) ] )
% 20.19/20.63 , clause( 106056, [ hBOOL( 'c_Wellfounded_Owf'(
% 20.19/20.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 20.19/20.63 ), X ) ) ] )
% 20.19/20.63 , clause( 106057, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 20.19/20.63 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, Z, T ) ) )
% 20.19/20.63 ), ~( hBOOL( 'c_Wellfounded_Owf'( Z, T ) ) ) ] )
% 20.19/20.63 , clause( 106058, [ 'c_Relation_Orefl__on'( 'c_Orderings_Otop__class_Otop'(
% 20.19/20.63 'tc_fun'( X, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.19/20.63 Y, 'c_Relation_OId'( X ), 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X )
% 20.19/20.63 ] )
% 20.19/20.63 , clause( 106059, [ =( 'c_Product__Type_OSigma'(
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_COMBK'(
% 20.19/20.63 T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ), 'c_HOL_Ominus__class_Ominus'(
% 20.19/20.63 'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 20.19/20.63 , Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U,
% 20.19/20.63 'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ]
% 20.19/20.63 )
% 20.19/20.63 , clause( 106060, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 20.19/20.63 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ORange'( T, Y, Z ), 'tc_fun'(
% 20.19/20.63 Z, 'tc_bool' ) ), 'c_Relation_ORange'( 'c_HOL_Ominus__class_Ominus'( X, T
% 20.19/20.63 , 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Z,
% 20.19/20.63 'tc_bool' ) ) ] )
% 20.19/20.63 , clause( 106061, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 20.19/20.63 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'( T, Y, Z ),
% 20.19/20.63 'tc_fun'( Y, 'tc_bool' ) ), 'c_Relation_ODomain'(
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( 'tc_prod'( Y, Z ),
% 20.19/20.63 'tc_bool' ) ), Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 20.19/20.63 , clause( 106062, [ hBOOL( 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X )
% 20.19/20.63 ) ] )
% 20.19/20.63 , clause( 106063, [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ] )
% 20.19/20.63 , clause( 106064, [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X
% 20.19/20.63 ), 'c_Relation_OId'( X ) ) ] )
% 20.19/20.63 , clause( 106065, [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X
% 20.19/20.63 , X ) ] )
% 20.19/20.63 , clause( 106066, [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X
% 20.19/20.63 ), Y ) ] )
% 20.19/20.63 , clause( 106067, [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z
% 20.19/20.63 , Y, Y ), X ) ] )
% 20.19/20.63 , clause( 106068, [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X
% 20.19/20.63 , X, Z ), Y ) ] )
% 20.19/20.63 , clause( 106069, [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ] )
% 20.19/20.63 , clause( 106070, [ hBOOL( 'c_Relation_Otrans'(
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( X, 'c_Relation_OId'( Y ), 'tc_fun'(
% 20.19/20.63 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ), ~( 'c_Relation_Oantisym'( X, Y )
% 20.19/20.63 ), ~( hBOOL( 'c_Relation_Otrans'( X, Y ) ) ) ] )
% 20.19/20.63 , clause( 106071, [ hBOOL( 'c_Order__Relation_Olinear__order__on'( X, Y, Z
% 20.19/20.63 ) ), ~( hBOOL( 'c_Order__Relation_Olinear__order__on'( X,
% 20.19/20.63 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ) ] )
% 20.19/20.63 , clause( 106072, [ hBOOL( 'c_Order__Relation_Olinear__order__on'( X,
% 20.19/20.63 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ), ~( hBOOL(
% 20.19/20.63 'c_Order__Relation_Olinear__order__on'( X, Y, Z ) ) ) ] )
% 20.19/20.63 , clause( 106073, [ hBOOL( 'c_Order__Relation_Olinear__order__on'( X, Y, Z
% 20.19/20.63 ) ), ~( hBOOL( 'c_Order__Relation_Owell__order__on'( X, Y, Z ) ) ) ] )
% 20.19/20.63 , clause( 106074, [ hBOOL( 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( hBOOL(
% 20.19/20.63 'c_Order__Relation_Olinear__order__on'( X, Y, Z ) ) ) ] )
% 20.19/20.63 , clause( 106075, [ hBOOL( 'c_Order__Relation_Opartial__order__on'( X, Y, Z
% 20.19/20.63 ) ), ~( hBOOL( 'c_Order__Relation_Olinear__order__on'( X, Y, Z ) ) ) ]
% 20.19/20.63 )
% 20.19/20.63 , clause( 106076, [ hBOOL( 'c_Relation_Otrans'( X, Y ) ), ~( hBOOL( hAPP(
% 20.19/20.63 'c_Order__Relation_Ostrict__linear__order__on'( Z, Y ), X ) ) ) ] )
% 20.19/20.63 , clause( 106077, [ hBOOL( 'c_Relation_Oirrefl'( X, Y ) ), ~( hBOOL( hAPP(
% 20.19/20.63 'c_Order__Relation_Ostrict__linear__order__on'( Z, Y ), X ) ) ) ] )
% 20.19/20.63 , clause( 106078, [ hBOOL( 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( hBOOL(
% 20.19/20.63 hAPP( 'c_Order__Relation_Ostrict__linear__order__on'( X, Z ), Y ) ) ) ]
% 20.19/20.63 )
% 20.19/20.63 , clause( 106079, [ =( 'c_Order__Relation_Owell__order__on'( 'v_A', 'v_r',
% 20.19/20.63 't_a' ), 'c_and'( 'c_Order__Relation_Olinear__order__on'( 'v_A', 'v_r',
% 20.19/20.63 't_a' ), 'c_Wellfounded_Owf'( 'c_HOL_Ominus__class_Ominus'( 'v_r',
% 20.19/20.63 'c_Relation_OId'( 't_a' ), 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool'
% 20.19/20.63 ) ), 't_a' ) ) ) ] )
% 20.19/20.63 , clause( 106080, [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP(
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( hAPP( Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ]
% 20.19/20.63 )
% 20.19/20.63 , clause( 106081, [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 20.19/20.63 , clause( 106082, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 20.19/20.63 , =( 'c_Complete__Lattice_OSup__class_OSup'(
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 20.19/20.63 , clause( 106083, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 20.19/20.63 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.19/20.63 ) ] )
% 20.19/20.63 , clause( 106084, [ =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 20.19/20.63 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, 'tc_fun'(
% 20.19/20.63 Y, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 106085, [ 'c_Relation_Orefl__on'( 'c_Orderings_Otop__class_Otop'(
% 20.19/20.63 'tc_fun'( X, 'tc_bool' ) ), 'c_Relation_OId'( X ), X ) ] )
% 20.19/20.63 , clause( 106086, [ =( 'c_Relation_ORange'( 'c_Relation_OId'( X ), X, X ),
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 106087, [ =( 'c_Relation_ODomain'( 'c_Relation_OId'( X ), X, X )
% 20.19/20.63 , 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 106088, [ =( 'c_Product__Type_OSigma'(
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T, Z, U )
% 20.19/20.63 , 'c_HOL_Ominus__class_Ominus'( 'c_Product__Type_OSigma'( X, T, Z, U ),
% 20.19/20.63 'c_Product__Type_OSigma'( Y, T, Z, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 20.19/20.63 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 106089, [ hBOOL( 'c_Relation_Ototal__on'( X,
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( Y, 'c_Relation_OId'( Z ), 'tc_fun'(
% 20.19/20.63 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) ), ~( hBOOL(
% 20.19/20.63 'c_Relation_Ototal__on'( X, Y, Z ) ) ) ] )
% 20.19/20.63 , clause( 106090, [ hBOOL( 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( hBOOL(
% 20.19/20.63 'c_Relation_Ototal__on'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 20.19/20.63 'c_Relation_OId'( Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) )
% 20.19/20.63 ) ] )
% 20.19/20.63 , clause( 106091, [ =( 'c_Transitive__Closure_Ortrancl'(
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( X, 'c_Relation_OId'( Y ), 'tc_fun'(
% 20.19/20.63 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'(
% 20.19/20.63 X, Y ) ) ] )
% 20.19/20.63 , clause( 106092, [ hBOOL( 'c_Relation_Oirrefl'(
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( X, 'c_Relation_OId'( Y ), 'tc_fun'(
% 20.19/20.63 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ] )
% 20.19/20.63 , clause( 106093, [ =( 'c_Arrow__Order__Mirabelle_OLin', 'c_Collect'(
% 20.19/20.63 'c_Order__Relation_Ostrict__linear__order__on'(
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 20.19/20.63 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 20.19/20.63 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_fun'( 'tc_prod'(
% 20.19/20.63 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 20.19/20.63 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 106094, [ hBOOL( 'c_Wellfounded_Owf'(
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( X, 'c_Relation_OId'( Y ), 'tc_fun'(
% 20.19/20.63 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ), ~( hBOOL(
% 20.19/20.63 'c_Order__Relation_Owell__order__on'( Z, X, Y ) ) ) ] )
% 20.19/20.63 , clause( 106095, [ hBOOL( 'c_Order__Relation_Owell__order__on'( X, Y, Z )
% 20.19/20.63 ), ~( hBOOL( 'c_Wellfounded_Owf'( 'c_HOL_Ominus__class_Ominus'( Y,
% 20.19/20.63 'c_Relation_OId'( Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) )
% 20.19/20.63 ), ~( hBOOL( 'c_Order__Relation_Olinear__order__on'( X, Y, Z ) ) ) ] )
% 20.19/20.63 , clause( 106096, [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 20.19/20.63 X, 'tc_bool' ) ), Y ) ) ] )
% 20.19/20.63 , clause( 106097, [ =( 'c_HOL_Ominus__class_Ominus'(
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 20.19/20.63 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 20.19/20.63 Z, 'tc_bool' ) ) ) ] )
% 20.19/20.63 , clause( 106098, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 20.19/20.63 , T, X ) ) ), =( Y, Z ) ] )
% 20.19/20.63 , clause( 106099, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 20.19/20.63 , T, X ) ) ), =( Z, T ) ] )
% 20.19/20.63 , clause( 106100, [ hBOOL( hAPP(
% 20.19/20.63 'c_Order__Relation_Ostrict__linear__order__on'( X, Y ),
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( Z, 'c_Relation_OId'( Y ), 'tc_fun'(
% 20.19/20.63 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ), ~( hBOOL(
% 20.19/20.63 'c_Order__Relation_Olinear__order__on'( X, Z, Y ) ) ) ] )
% 20.19/20.63 , clause( 106101, [ hBOOL( 'c_Order__Relation_Olinear__order__on'(
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 20.19/20.63 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'v_r',
% 20.19/20.63 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ] )
% 20.19/20.63 , clause( 106102, [ hBOOL( 'c_Wellfounded_Owf'(
% 20.19/20.63 'c_HOL_Ominus__class_Ominus'( 'v_r', 'c_Relation_OId'(
% 20.19/20.63 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_fun'( 'tc_prod'(
% 20.19/20.63 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 20.19/20.63 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ] )
% 20.19/20.63 , clause( 106103, [ ~( hBOOL( hAPP(
% 20.19/20.63 'c_Order__Relation_Ostrict__linear__order__on'(
% 20.19/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 20.19/20.63 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 20.19/20.63 'tc_Arrow__Order__Mirabelle_Oalt' ), X ) ) ) ] )
% 20.19/20.63 , clause( 106104, [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_prod'( X, Y )
% 20.19/20.63 ), ~( 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 20.19/20.63 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ] )
% 20.19/20.63 , clause( 106105, [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'(
% 20.19/20.63 X, Y ) ), ~( 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ] )
% 20.19/20.63 , clause( 106106, [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y )
% 20.19/20.63 ), ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 20.19/20.63 , clause( 106107, [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y )
% 20.19/20.63 ), ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 20.19/20.63 , clause( 106108, [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) )
% 20.19/20.63 , ~( 'class_Lattices_Odistrib__lattice'( Y ) ) ] )
% 20.19/20.63 , clause( 106109, [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) )
% 20.19/20.63 , ~( 'class_Lattices_Obounded__lattice'( Y ) ) ] )
% 20.19/20.63 , clause( 106110, [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) )
% 20.19/20.63 , ~( 'class_Lattices_Oboolean__algebra'( Y ) ) ] )
% 20.19/20.63 , clause( 106111, [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) )
% 20.19/20.63 , ~( 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 20.19/20.63 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ] )
% 20.19/20.63 , clause( 106112, [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 20.19/20.63 'class_Orderings_Opreorder'( Y ) ) ] )
% 20.19/20.63 , clause( 106113, [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 20.19/20.63 'class_Lattices_Olattice'( Y ) ) ] )
% 20.19/20.63 , clause( 106114, [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 20.19/20.63 'class_Orderings_Oorder'( Y ) ) ] )
% 20.19/20.63 , clause( 106115, [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~(
% 20.19/20.63 'class_Orderings_Otop'( Y ) ) ] )
% 20.19/20.63 , clause( 106116, [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~(
% 20.19/20.63 'class_Orderings_Obot'( Y ) ) ] )
% 20.19/20.63 , clause( 106117, [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~(
% 20.19/20.63 'class_HOL_Ouminus'( Y ) ) ] )
% 20.19/20.63 , clause( 106118, [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~(
% 20.19/20.63 'class_HOL_Ominus'( Y ) ) ] )
% 20.19/20.63 , clause( 106119, [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~(
% 20.19/20.63 'class_HOL_Oord'( Y ) ) ] )
% 20.19/20.63 , clause( 106120, [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool'
% 20.19/20.63 ) ] )
% 20.19/20.63 , clause( 106121, [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ] )
% 20.19/20.63 , clause( 106122, [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ] )
% 20.19/20.63 , clause( 106123, [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ] )
% 20.19/20.63 , clause( 106124, [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ] )
% 20.19/20.63 , clause( 106125, [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ] )
% 20.19/20.63 , clause( 106126, [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ] )
% 20.19/20.63 , clause( 106127, [ 'class_Orderings_Opreorder'( 'tc_bool' ) ] )
% 20.19/20.63 , clause( 106128, [ 'class_Lattices_Olattice'( 'tc_bool' ) ] )
% 20.19/20.63 , clause( 106129, [ 'class_Orderings_Oorder'( 'tc_bool' ) ] )
% 20.19/20.63 , clause( 106130, [ 'class_Orderings_Otop'( 'tc_bool' ) ] )
% 20.19/20.63 , clause( 106131, [ 'class_Orderings_Obot'( 'tc_bool' ) ] )
% 20.28/20.63 , clause( 106132, [ 'class_HOL_Ouminus'( 'tc_bool' ) ] )
% 20.28/20.63 , clause( 106133, [ 'class_HOL_Ominus'( 'tc_bool' ) ] )
% 20.28/20.63 , clause( 106134, [ 'class_HOL_Oord'( 'tc_bool' ) ] )
% 20.28/20.63 , clause( 106135, [ 'c_fequal'( X, X, Y ) ] )
% 20.28/20.63 , clause( 106136, [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ] )
% 20.28/20.63 ] ).
% 20.28/20.63
% 20.28/20.63
% 20.28/20.63
% 20.28/20.63 subsumption(
% 20.28/20.63 clause( 27, [ =( 'c_Collect'( X, Y ), X ) ] )
% 20.28/20.63 , clause( 105560, [ =( 'c_Collect'( X, Y ), X ) ] )
% 20.28/20.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 20.28/20.63 )] ) ).
% 20.28/20.63
% 20.28/20.63
% 20.28/20.63 paramod(
% 20.28/20.63 clause( 107108, [ =( 'c_Arrow__Order__Mirabelle_OLin',
% 20.28/20.63 'c_Order__Relation_Ostrict__linear__order__on'(
% 20.28/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 20.28/20.63 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 20.28/20.63 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ] )
% 20.28/20.63 , clause( 27, [ =( 'c_Collect'( X, Y ), X ) ] )
% 20.28/20.63 , 0, clause( 106093, [ =( 'c_Arrow__Order__Mirabelle_OLin', 'c_Collect'(
% 20.28/20.63 'c_Order__Relation_Ostrict__linear__order__on'(
% 20.28/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 20.28/20.63 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 20.28/20.63 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_fun'( 'tc_prod'(
% 20.28/20.63 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 20.28/20.63 'tc_bool' ) ) ) ] )
% 20.28/20.63 , 0, 2, substitution( 0, [ :=( X,
% 20.28/20.63 'c_Order__Relation_Ostrict__linear__order__on'(
% 20.28/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 20.28/20.63 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 20.28/20.63 'tc_Arrow__Order__Mirabelle_Oalt' ) ), :=( Y, 'tc_fun'( 'tc_prod'(
% 20.28/20.63 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 20.28/20.63 'tc_bool' ) )] ), substitution( 1, [] )).
% 20.28/20.63
% 20.28/20.63
% 20.28/20.63 eqswap(
% 20.28/20.63 clause( 107109, [ =( 'c_Order__Relation_Ostrict__linear__order__on'(
% 20.28/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 20.28/20.63 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 20.28/20.63 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_OLin' ) ]
% 20.28/20.63 )
% 20.28/20.63 , clause( 107108, [ =( 'c_Arrow__Order__Mirabelle_OLin',
% 20.28/20.63 'c_Order__Relation_Ostrict__linear__order__on'(
% 20.28/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 20.28/20.63 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 20.28/20.63 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ] )
% 20.28/20.63 , 0, substitution( 0, [] )).
% 20.28/20.63
% 20.28/20.63
% 20.28/20.63 subsumption(
% 20.28/20.63 clause( 491, [ =( 'c_Order__Relation_Ostrict__linear__order__on'(
% 20.28/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 20.28/20.63 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 20.28/20.63 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_OLin' ) ]
% 20.28/20.63 )
% 20.28/20.63 , clause( 107109, [ =( 'c_Order__Relation_Ostrict__linear__order__on'(
% 20.28/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 20.28/20.63 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 20.28/20.63 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_OLin' ) ]
% 20.28/20.63 )
% 20.28/20.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 20.28/20.63
% 20.28/20.63
% 20.28/20.63 subsumption(
% 20.28/20.63 clause( 497, [ hBOOL( hAPP( 'c_Order__Relation_Ostrict__linear__order__on'(
% 20.28/20.63 X, Y ), 'c_HOL_Ominus__class_Ominus'( Z, 'c_Relation_OId'( Y ), 'tc_fun'(
% 20.28/20.63 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ), ~( hBOOL(
% 20.28/20.63 'c_Order__Relation_Olinear__order__on'( X, Z, Y ) ) ) ] )
% 20.28/20.63 , clause( 106100, [ hBOOL( hAPP(
% 20.28/20.63 'c_Order__Relation_Ostrict__linear__order__on'( X, Y ),
% 20.28/20.63 'c_HOL_Ominus__class_Ominus'( Z, 'c_Relation_OId'( Y ), 'tc_fun'(
% 20.28/20.63 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ), ~( hBOOL(
% 20.28/20.63 'c_Order__Relation_Olinear__order__on'( X, Z, Y ) ) ) ] )
% 20.28/20.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 20.28/20.63 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 20.28/20.63
% 20.28/20.63
% 20.28/20.63 subsumption(
% 20.28/20.63 clause( 498, [ hBOOL( 'c_Order__Relation_Olinear__order__on'(
% 20.28/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 20.28/20.63 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'v_r',
% 20.28/20.63 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ] )
% 20.28/20.63 , clause( 106101, [ hBOOL( 'c_Order__Relation_Olinear__order__on'(
% 20.28/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 20.28/20.63 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'v_r',
% 20.28/20.63 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ] )
% 20.28/20.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 20.28/20.63
% 20.28/20.63
% 20.28/20.63 paramod(
% 20.28/20.63 clause( 108835, [ ~( hBOOL( hAPP( 'c_Arrow__Order__Mirabelle_OLin', X ) ) )
% 20.28/20.63 ] )
% 20.28/20.63 , clause( 491, [ =( 'c_Order__Relation_Ostrict__linear__order__on'(
% 20.28/20.63 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 20.28/20.63 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 20.28/20.64 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_OLin' ) ]
% 20.28/20.64 )
% 20.28/20.64 , 0, clause( 106103, [ ~( hBOOL( hAPP(
% 20.28/20.64 'c_Order__Relation_Ostrict__linear__order__on'(
% 20.28/20.64 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 20.28/20.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 20.28/20.64 'tc_Arrow__Order__Mirabelle_Oalt' ), X ) ) ) ] )
% 20.28/20.64 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 20.28/20.64
% 20.28/20.64
% 20.28/20.64 subsumption(
% 20.28/20.64 clause( 500, [ ~( hBOOL( hAPP( 'c_Arrow__Order__Mirabelle_OLin', X ) ) ) ]
% 20.28/20.64 )
% 20.28/20.64 , clause( 108835, [ ~( hBOOL( hAPP( 'c_Arrow__Order__Mirabelle_OLin', X ) )
% 20.28/20.64 ) ] )
% 20.28/20.64 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 20.28/20.64
% 20.28/20.64
% 20.28/20.64 resolution(
% 20.28/20.64 clause( 108837, [ hBOOL( hAPP(
% 20.28/20.64 'c_Order__Relation_Ostrict__linear__order__on'(
% 20.28/20.64 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 20.28/20.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 20.28/20.64 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_HOL_Ominus__class_Ominus'( 'v_r'
% 20.28/20.64 , 'c_Relation_OId'( 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_fun'(
% 20.28/20.64 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 20.28/20.64 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ) ] )
% 20.28/20.64 , clause( 497, [ hBOOL( hAPP(
% 20.28/20.64 'c_Order__Relation_Ostrict__linear__order__on'( X, Y ),
% 20.28/20.64 'c_HOL_Ominus__class_Ominus'( Z, 'c_Relation_OId'( Y ), 'tc_fun'(
% 20.28/20.64 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ), ~( hBOOL(
% 20.28/20.64 'c_Order__Relation_Olinear__order__on'( X, Z, Y ) ) ) ] )
% 20.28/20.64 , 1, clause( 498, [ hBOOL( 'c_Order__Relation_Olinear__order__on'(
% 20.28/20.64 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 20.28/20.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'v_r',
% 20.28/20.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ] )
% 20.28/20.64 , 0, substitution( 0, [ :=( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 20.28/20.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ) ), :=( Y,
% 20.28/20.64 'tc_Arrow__Order__Mirabelle_Oalt' ), :=( Z, 'v_r' )] ), substitution( 1
% 20.28/20.64 , [] )).
% 20.28/20.64
% 20.28/20.64
% 20.28/20.64 paramod(
% 20.28/20.64 clause( 108838, [ hBOOL( hAPP( 'c_Arrow__Order__Mirabelle_OLin',
% 20.28/20.64 'c_HOL_Ominus__class_Ominus'( 'v_r', 'c_Relation_OId'(
% 20.28/20.64 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_fun'( 'tc_prod'(
% 20.28/20.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 20.28/20.64 'tc_bool' ) ) ) ) ] )
% 20.28/20.64 , clause( 491, [ =( 'c_Order__Relation_Ostrict__linear__order__on'(
% 20.28/20.64 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 20.28/20.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 20.28/20.64 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_OLin' ) ]
% 20.28/20.64 )
% 20.28/20.64 , 0, clause( 108837, [ hBOOL( hAPP(
% 20.28/20.64 'c_Order__Relation_Ostrict__linear__order__on'(
% 20.28/20.64 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 20.28/20.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ),
% 20.28/20.64 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_HOL_Ominus__class_Ominus'( 'v_r'
% 20.28/20.64 , 'c_Relation_OId'( 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_fun'(
% 20.28/20.64 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 20.28/20.64 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ) ] )
% 20.28/20.64 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 20.28/20.64
% 20.28/20.64
% 20.28/20.64 resolution(
% 20.28/20.64 clause( 108839, [] )
% 20.28/20.64 , clause( 500, [ ~( hBOOL( hAPP( 'c_Arrow__Order__Mirabelle_OLin', X ) ) )
% 20.28/20.64 ] )
% 20.28/20.64 , 0, clause( 108838, [ hBOOL( hAPP( 'c_Arrow__Order__Mirabelle_OLin',
% 20.28/20.64 'c_HOL_Ominus__class_Ominus'( 'v_r', 'c_Relation_OId'(
% 20.28/20.64 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_fun'( 'tc_prod'(
% 20.28/20.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 20.28/20.64 'tc_bool' ) ) ) ) ] )
% 20.28/20.64 , 0, substitution( 0, [ :=( X, 'c_HOL_Ominus__class_Ominus'( 'v_r',
% 20.28/20.64 'c_Relation_OId'( 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_fun'(
% 20.28/20.64 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 20.28/20.64 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) )] ), substitution( 1
% 20.28/20.64 , [] )).
% 20.28/20.64
% 20.28/20.64
% 20.28/20.64 subsumption(
% 20.28/20.64 clause( 105530, [] )
% 20.28/20.64 , clause( 108839, [] )
% 20.28/20.64 , substitution( 0, [] ), permutation( 0, [] ) ).
% 20.28/20.64
% 20.28/20.64
% 20.28/20.64 end.
% 20.28/20.64
% 20.28/20.64 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 20.28/20.64
% 20.28/20.64 Memory use:
% 20.28/20.64
% 20.28/20.64 space for terms: 2926575
% 20.28/20.64 space for clauses: 5861302
% 20.28/20.64
% 20.28/20.64
% 20.28/20.64 clauses generated: 557158
% 20.28/20.64 clauses kept: 105531
% 20.28/20.64 clauses selected: 2038
% 20.28/20.64 clauses deleted: 1695
% 20.28/20.64 clauses inuse deleted: 43
% 20.28/20.64
% 20.28/20.64 subsentry: 2183080
% 20.28/20.64 literals s-matched: 992528
% 20.28/20.64 literals matched: 896692
% 20.28/20.64 full subsumption: 384807
% 20.28/20.64
% 20.28/20.64 checksum: -2036125345
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