TSTP Solution File: LCL823-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL823-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 : Sun Jul 17 07:58:28 EDT 2022
% Result : Timeout 300.03s 300.50s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : LCL823-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Tue Jul 5 00:04:22 EDT 2022
% 0.14/0.36 % CPUTime :
% 1.19/1.61 *** allocated 10000 integers for termspace/termends
% 1.19/1.61 *** allocated 10000 integers for clauses
% 1.19/1.61 *** allocated 10000 integers for justifications
% 1.19/1.61 *** allocated 15000 integers for termspace/termends
% 1.19/1.61 *** allocated 22500 integers for termspace/termends
% 1.19/1.61 *** allocated 33750 integers for termspace/termends
% 1.19/1.61 Bliksem 1.12
% 1.19/1.61
% 1.19/1.61
% 1.19/1.61 Automatic Strategy Selection
% 1.19/1.61
% 1.19/1.61 Clauses:
% 1.19/1.61 [
% 1.19/1.61 [ hBOOL( 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'(
% 1.19/1.61 'tc_fun'( X, 'tc_bool' ) ), Y, X ) ) ],
% 1.19/1.61 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.19/1.61 X, X ), Y ), Z ) ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) )
% 1.19/1.61 , hAPP( hAPP( 'c_Pair'( X, X ), Z ), Y ) ), T ) ), =( Z, Y ), ~( hBOOL(
% 1.19/1.61 hAPP( hAPP( 'c_in'( X ), Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.19/1.61 , Z ), U ) ) ), ~( hBOOL( 'c_Relation_Ototal__on'( U, T, X ) ) ) ],
% 1.19/1.61 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.61 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.19/1.61 ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.19/1.61 ],
% 1.19/1.61 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.61 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.19/1.61 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.19/1.61 ) ) ],
% 1.19/1.61 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( 'c_split'( X, T, U,
% 1.19/1.61 'tc_bool' ), hAPP( hAPP( 'c_Pair'( T, U ), Y ), Z ) ) ) ) ],
% 1.19/1.61 [ hBOOL( hAPP( 'c_split'( X, Y, Z, 'tc_bool' ), hAPP( hAPP( 'c_Pair'( Y
% 1.19/1.61 , Z ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( X, T ), U ) ) ) ],
% 1.19/1.61 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.61 hAPP( 'c_in'( U ), T ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.19/1.61 hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U,
% 1.19/1.61 'tc_fun'( X, 'tc_bool' ) ), W ), Z ) ) ) ) ],
% 1.19/1.61 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.19/1.61 'c_in'( T ), U ), hAPP( W, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 1.19/1.61 ), hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X
% 1.19/1.61 , 'tc_fun'( T, 'tc_bool' ) ), Z ), W ) ) ) ) ],
% 1.19/1.61 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.61 hAPP( 'c_in'( U ), T ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.19/1.61 hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U,
% 1.19/1.61 'tc_fun'( X, 'tc_bool' ) ), W ), Z ) ) ) ) ],
% 1.19/1.61 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.19/1.61 hAPP( 'c_Set_Oinsert'( Y ), Z ), X ), Y ) ) ],
% 1.19/1.61 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), X
% 1.19/1.61 ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.19/1.61 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.19/1.61 'tc_bool' ) ), X ) ],
% 1.19/1.61 [ =( hAPP( hAPP( X, hAPP( 'c_COMBK'( Y, Y ), hAPP( Z, hAPP( T, U ) ) ) )
% 1.19/1.61 , U ), hAPP( hAPP( X, Z ), U ) ), ~( hBOOL(
% 1.19/1.61 'c_Record_Oiso__tuple__update__accessor__cong__assist'( X, T, Y, W ) ) )
% 1.19/1.61 ],
% 1.19/1.61 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.61 X, 'tc_bool' ) ), hAPP( Y, Z ) ), hAPP( hAPP(
% 1.19/1.61 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'tc_fun'( X,
% 1.19/1.61 'tc_bool' ) ), U ), Y ) ), hAPP( hAPP(
% 1.19/1.61 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'tc_fun'( X,
% 1.19/1.61 'tc_bool' ) ), U ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) )
% 1.19/1.61 ) ],
% 1.19/1.61 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.61 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.61 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.19/1.61 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.61 ), Z ) ), T ), T ) ],
% 1.19/1.61 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.61 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.19/1.61 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.19/1.61 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.19/1.61 ), T ) ), Y ) ],
% 1.19/1.61 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 1.19/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.61 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.62 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 1.19/1.62 'c_Set_Oimage'( X, Y, Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.19/1.62 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, U, V3, V4, Y
% 1.19/1.62 ) ) ],
% 1.19/1.62 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, V2, V3, V4, Y
% 1.19/1.62 ) ) ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.19/1.62 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.19/1.62 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 1.19/1.62 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.19/1.62 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 1.19/1.62 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.19/1.62 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T, X ) ) ), =( Z
% 1.19/1.62 , 'c_List_Olist_ONil'( T ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Relation_OImage'( X, Y, Z ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), U ), W ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'tc_fun'( Z,
% 1.19/1.62 'tc_bool' ) ), U ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.19/1.62 'tc_fun'( Z, 'tc_bool' ), T ), 'c_Relation_OImage'( X, Y, Z ) ), W ) ) )
% 1.19/1.62 ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Otop__class_Otop'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.19/1.62 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), Z ), T ), Y ), ~( 'c_Finite__Set_Ofinite'( hAPP( T, U ), Y
% 1.19/1.62 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ), Z ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( Z, T, X ), U ) ), W
% 1.19/1.62 ), hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T
% 1.19/1.62 , 'tc_fun'( Y, 'tc_bool' ) ), U ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( Y
% 1.19/1.62 , 'tc_bool' ), T ), W ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Owellorder'( X ) ), ~( hBOOL( hAPP( Y, Z ) ) ),
% 1.19/1.62 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.19/1.62 'c_Orderings_Oord__class_OLeast'( Y, X ) ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ),
% 1.19/1.62 ~( 'c_Fun_Oinj__on'( U, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), X, T ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.19/1.62 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ), ~(
% 1.19/1.62 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 1.19/1.62 'tc_bool' ) ), T, X ) ) ],
% 1.19/1.62 [ =( 'c_The'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_Set_Oinsert'( Y ), T
% 1.19/1.62 ) ), U ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), T ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), Z ), U ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 1.19/1.62 ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ],
% 1.19/1.62 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.19/1.62 'c_List_Oset'( Y, X ) ) ), =( Y, 'c_List_Olist_ONil'( X ) ) ],
% 1.19/1.62 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ),
% 1.19/1.62 =( Y, U ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 1.19/1.62 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 1.19/1.62 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ),
% 1.19/1.62 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.19/1.62 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 1.19/1.62 [ =( 'c_Relation_Orel__comp'( 'v_r', 'v_s', 't_a', 't_b', 't_c' ), hAPP(
% 1.19/1.62 'c_Collect'( 'tc_prod'( 't_a', 't_c' ) ), 'c_split'( hAPP( hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_fun'( 't_c', 'tc_fun'( 't_b', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.62 't_c', 'tc_bool' ), 't_a' ), hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool'
% 1.19/1.62 ), 'tc_bool', 't_c' ), 'c_Ex'( 't_b' ) ) ), hAPP( hAPP( 'c_COMBC'( 't_a'
% 1.19/1.62 , 'tc_fun'( 't_c', 'tc_fun'( 't_b', 'tc_bool' ) ), 'tc_fun'( 't_c',
% 1.19/1.62 'tc_fun'( 't_b', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.62 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.62 'tc_fun'( 't_c', 'tc_fun'( 't_b', 'tc_bool' ) ), 'tc_fun'( 't_c',
% 1.19/1.62 'tc_fun'( 't_b', 'tc_bool' ) ) ), 't_a' ), 'c_COMBB'( 'tc_fun'( 't_b',
% 1.19/1.62 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ), 't_c' ) ), hAPP( hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.62 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), 't_a' ),
% 1.19/1.62 'c_COMBS'( 't_b', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'( 't_b', 'tc_fun'( 'tc_bool',
% 1.19/1.62 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.62 'tc_bool' ), 't_b' ), 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'(
% 1.19/1.62 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ),
% 1.19/1.62 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.19/1.62 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.19/1.62 't_a', 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), 't_a' ),
% 1.19/1.62 'c_COMBC'( 't_b', 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ),
% 1.19/1.62 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_prod'( 't_a',
% 1.19/1.62 't_b' ) ), 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' )
% 1.19/1.62 , 'tc_bool' ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a'
% 1.19/1.62 , 't_b' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ),
% 1.19/1.62 'tc_bool' ), 't_b' ), 'c_in'( 'tc_prod'( 't_a', 't_b' ) ) ) ), 'c_Pair'(
% 1.19/1.62 't_a', 't_b' ) ) ) ), 'v_r' ) ) ) ) ), hAPP( hAPP( 'c_COMBC'( 't_c',
% 1.19/1.62 'tc_fun'( 'tc_prod'( 't_b', 't_c' ), 'tc_bool' ), 'tc_fun'( 't_b',
% 1.19/1.62 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'(
% 1.19/1.62 'tc_prod'( 't_b', 't_c' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.19/1.62 'tc_prod'( 't_b', 't_c' ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ),
% 1.19/1.62 't_c' ), 'c_COMBC'( 't_b', 'tc_fun'( 'tc_prod'( 't_b', 't_c' ), 'tc_bool'
% 1.19/1.62 ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_prod'(
% 1.19/1.62 't_b', 't_c' ) ), 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_b',
% 1.19/1.62 't_c' ), 'tc_bool' ), 'tc_bool' ) ), 't_c' ), hAPP( 'c_COMBB'( 'tc_prod'(
% 1.19/1.62 't_b', 't_c' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_b', 't_c' ), 'tc_bool'
% 1.19/1.62 ), 'tc_bool' ), 't_b' ), 'c_in'( 'tc_prod'( 't_b', 't_c' ) ) ) ), hAPP(
% 1.19/1.62 'c_COMBC'( 't_b', 't_c', 'tc_prod'( 't_b', 't_c' ) ), 'c_Pair'( 't_b',
% 1.19/1.62 't_c' ) ) ) ) ), 'v_s' ) ) ), 't_a', 't_c', 'tc_bool' ) ) ) ],
% 1.19/1.62 [ =( 'c_Relation_Ototal__on'( 'v_A', 'v_r', 't_a' ), hAPP( 'c_All'(
% 1.19/1.62 't_a' ), hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.19/1.62 'c_implies' ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' )
% 1.19/1.62 , 'tc_bool' ), 'c_in'( 't_a' ) ), 'v_A' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'( 't_a' ) ),
% 1.19/1.62 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a',
% 1.19/1.62 'tc_bool' ), 't_a' ), hAPP( 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ),
% 1.19/1.62 hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a'
% 1.19/1.62 ), 'c_implies' ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a',
% 1.19/1.62 'tc_bool' ), 'tc_bool' ), 'c_in'( 't_a' ) ), 'v_A' ) ) ) ), hAPP( hAPP(
% 1.19/1.62 'c_COMBS'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a',
% 1.19/1.62 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.62 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.19/1.62 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'( 't_a', 'tc_bool',
% 1.19/1.62 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.19/1.62 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.19/1.62 'c_implies' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.19/1.62 'tc_fun'( 't_a', 'tc_bool' ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool',
% 1.19/1.62 'tc_bool', 't_a' ), 'c_Not' ) ), 'c_fequal'( 't_a' ) ) ) ) ), hAPP( hAPP(
% 1.19/1.62 'c_COMBS'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a',
% 1.19/1.62 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.62 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.19/1.62 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'( 't_a', 'tc_bool',
% 1.19/1.62 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.19/1.62 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ), 'c_or' )
% 1.19/1.62 ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ),
% 1.19/1.62 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool'
% 1.19/1.62 ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ),
% 1.19/1.62 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBC'( 't_a',
% 1.19/1.62 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), hAPP(
% 1.19/1.62 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a', 't_a' ) ), 'tc_fun'(
% 1.19/1.62 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ),
% 1.19/1.62 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ),
% 1.19/1.62 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ),
% 1.19/1.62 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), 'c_Pair'( 't_a', 't_a'
% 1.19/1.62 ) ) ) ), 'v_r' ) ) ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'(
% 1.19/1.62 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.19/1.62 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.19/1.62 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.19/1.62 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ),
% 1.19/1.62 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ),
% 1.19/1.62 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a',
% 1.19/1.62 't_a' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' )
% 1.19/1.62 , 'tc_bool' ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a'
% 1.19/1.62 , 't_a' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ),
% 1.19/1.62 'tc_bool' ), 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), hAPP(
% 1.19/1.62 'c_COMBC'( 't_a', 't_a', 'tc_prod'( 't_a', 't_a' ) ), 'c_Pair'( 't_a',
% 1.19/1.62 't_a' ) ) ) ) ), 'v_r' ) ) ) ) ) ) ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Relation_OImage'( 'v_r', 't_a', 't_b' ), 'v_s' ), hAPP(
% 1.19/1.62 'c_Collect'( 't_b' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' )
% 1.19/1.62 , 'tc_bool', 't_b' ), 'c_Ex'( 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.62 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ), 't_b' ), hAPP(
% 1.19/1.62 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ), 'c_and' ), hAPP(
% 1.19/1.62 hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.19/1.62 't_a' ) ), 'v_s' ) ) ) ), hAPP( hAPP( 'c_COMBC'( 't_b', 'tc_fun'(
% 1.19/1.62 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.19/1.62 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.19/1.62 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.19/1.62 't_a', 't_b' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_b' ),
% 1.19/1.62 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ),
% 1.19/1.62 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a',
% 1.19/1.62 't_b' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' )
% 1.19/1.62 , 'tc_bool' ), 'tc_bool' ) ), 't_b' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a'
% 1.19/1.62 , 't_b' ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ),
% 1.19/1.62 'tc_bool' ), 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_b' ) ) ) ), hAPP(
% 1.19/1.62 'c_COMBC'( 't_a', 't_b', 'tc_prod'( 't_a', 't_b' ) ), 'c_Pair'( 't_a',
% 1.19/1.62 't_b' ) ) ) ) ), 'v_r' ) ) ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 1.19/1.62 ) ) ],
% 1.19/1.62 [ =( 'c_Lambda_Olift'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z ),
% 1.19/1.62 hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Olift'( X, Z ) ),
% 1.19/1.62 'c_Lambda_Olift'( Y, Z ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_Set_Oinsert'( Y ), T
% 1.19/1.62 ) ), U ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), T ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), W ), Z )
% 1.19/1.62 ) ) ],
% 1.19/1.62 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y
% 1.19/1.62 , Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 , T ), U ), Y, Z ) ), =( T, U ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'class_Orderings_Oorder'( Y ) )
% 1.19/1.62 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( Y ), hAPP( Z, T ) ), hAPP(
% 1.19/1.62 Z, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), U
% 1.19/1.62 ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) )
% 1.19/1.62 ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.19/1.62 ) ), ~( =( hAPP( Z, T ), hAPP( Z, U ) ) ), ~( hBOOL(
% 1.19/1.62 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) ) ), =( T, U ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.19/1.62 ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ), ~(
% 1.19/1.62 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( Y ), hAPP( U, Z ) ), hAPP(
% 1.19/1.62 U, T ) ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Ostrict__mono'( U, X,
% 1.19/1.62 Y ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.19/1.62 ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( Y ), hAPP( Z, T ) ),
% 1.19/1.62 hAPP( Z, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T
% 1.19/1.62 ), U ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y
% 1.19/1.62 ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.19/1.62 ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ), ~( hBOOL( hAPP(
% 1.19/1.62 hAPP( 'c_lessequals'( Y ), hAPP( U, Z ) ), hAPP( U, T ) ) ) ), ~( hBOOL(
% 1.19/1.62 'c_Orderings_Oorder__class_Ostrict__mono'( U, X, Y ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Orderings_Oorder'( Y
% 1.19/1.62 ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( Y ), hAPP( Z, T ) ), hAPP( Z, U
% 1.19/1.62 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) ), ~( hBOOL(
% 1.19/1.62 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_List_Onth'( 'c_List_Oappend'( X, Y, Z ), Z ), T ), hAPP(
% 1.19/1.62 'c_List_Onth'( X, Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( 'tc_nat' ), T ), 'c_Nat_Osize__class_Osize'( X
% 1.19/1.62 , 'tc_List_Olist'( Z ) ) ) ) ) ],
% 1.19/1.62 [ ~( =( hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), Z ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ) ) ), =( hAPP( T, U ), 'c_Orderings_Obot__class_Obot'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ), Z )
% 1.19/1.62 ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.19/1.62 'c_Set_Oinsert'( T ), Z ), X ), Y ) ) ) ],
% 1.19/1.62 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_in'( T ), Y ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'tc_fun'( Z,
% 1.19/1.62 'tc_bool' ) ), U ), X ), Z ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 1.19/1.62 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 1.19/1.62 , T, U, V0 ), Z, T, V0 ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.19/1.62 X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Relation_OImage'( X, Y, Z ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.19/1.62 'c_Finite__Set_Olattice__class_OInf__fin'( Z, X ) ), Y ), ~( hBOOL( hAPP(
% 1.19/1.62 hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Omap'( X, Y, Z, T ),
% 1.19/1.62 'tc_List_Olist'( T ) ), 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z
% 1.19/1.62 ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP(
% 1.19/1.62 hAPP( 'c_Set_Oinsert'( X ), Y ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.19/1.62 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.19/1.62 [ 'c_Fun_Oinj__on'( 'c_COMBI'( X ), Y, X, X ) ],
% 1.19/1.62 [ =( hAPP( 'c_Collect'( 'tc_prod'( X, Y ) ), 'c_split'( hAPP( hAPP(
% 1.19/1.62 'c_COMBC'( X, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 1.19/1.62 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y
% 1.19/1.62 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ), 'c_COMBB'( 'tc_bool',
% 1.19/1.62 'tc_bool', Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.62 'tc_bool' ), X ), 'c_and' ), Z ) ) ), T ), X, Y, 'tc_bool' ) ),
% 1.19/1.62 'c_Product__Type_OSigma'( hAPP( 'c_Collect'( X ), Z ), hAPP( 'c_COMBK'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_Collect'( Y ), T ) ), X, Y ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_split'( X, Y, Z, T ), hAPP( hAPP( 'c_Pair'( Y, Z ), U ), W
% 1.19/1.62 ) ), hAPP( hAPP( X, U ), W ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_split'( X, Y, Z, T ), hAPP( hAPP( 'c_Pair'( Y, Z ), U ), W
% 1.19/1.62 ) ), hAPP( hAPP( X, U ), W ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.19/1.62 ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.19/1.62 ) ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.19/1.62 ],
% 1.19/1.62 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.19/1.62 'c_Orderings_Otop__class_Otop'( X ) ), Y ),
% 1.19/1.62 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.19/1.62 'c_Orderings_Otop__class_Otop'( X ) ), 'c_Orderings_Otop__class_Otop'( X
% 1.19/1.62 ) ) ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.19/1.62 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.19/1.62 X ), Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.62 X ), Y ), hAPP( 'c_Complete__Lattice_OSup__class_OSup'( X ), Z ) ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ), Z ), hAPP( 'c_Set_Oinsert'( X ), Y ) ), U ) ) )
% 1.19/1.62 , =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ =( 'c_Finite__Set_Olattice_OInf__fin'( X, Y, Z ), hAPP( T, Y ) ), =( Y
% 1.19/1.62 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.19/1.62 'c_Finite__Set_Ofinite'( Y, Z ) ), ~(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice'( T, U, W, V0, X, V1, V2, V3, Z )
% 1.19/1.62 ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.62 ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ],
% 1.19/1.62 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 1.19/1.62 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 1.19/1.62 [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 1.19/1.62 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 1.19/1.62 [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 1.19/1.62 [ =( hAPP( 'c_Collect'( X ), Y ), Y ) ],
% 1.19/1.62 [ =( hAPP( hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( 't_a'
% 1.19/1.62 , 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.19/1.62 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'(
% 1.19/1.62 't_a', 'tc_bool' ), X ), hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a',
% 1.19/1.62 'tc_bool' ), 'tc_bool' ), 'c_in'( 't_a' ) ) ), Y ) ), 'v_x' ), hAPP( hAPP(
% 1.19/1.62 'c_in'( 't_a' ), 'v_x' ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( 't_a'
% 1.19/1.62 , 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.19/1.62 ) ), Y ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ), Z ), hAPP( 'c_Set_Oinsert'( X ), Y ) ), U ) ) )
% 1.19/1.62 ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.19/1.62 'c_Complete__Lattice_OSup__class_OSup'( X ), 'c_List_Oset'( Y, X ) ),
% 1.19/1.62 'c_List_Ofoldl'( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( X ), Y, X, X ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 1.19/1.62 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ), T ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 1.19/1.62 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Z ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.19/1.62 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.19/1.62 X ), Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.62 X ), Y ), hAPP( 'c_Complete__Lattice_OInf__class_OInf'( X ), Z ) ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.19/1.62 'c_Set_Oimage'( Y, Z, X ), T ) ) ), =( T, 'c_Orderings_Obot__class_Obot'(
% 1.19/1.62 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y
% 1.19/1.62 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.19/1.62 , 'tc_bool' ) ), X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ) ), T ) ), U ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X,
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), U ) ) ],
% 1.19/1.62 [ hBOOL( 'c_List_Olistsp'( X, Y, Z ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 1.19/1.62 'c_List_Osko__List__Xin__listsp__conv__set__1__1'( X, Y, Z ) ),
% 1.19/1.62 'c_List_Oset'( Y, Z ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 1.19/1.62 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 1.19/1.62 , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 1.19/1.62 ), Z ), U ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 1.19/1.62 ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 1.19/1.62 ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_Set_Oinsert'( Y ), T
% 1.19/1.62 ) ), U ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), T ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), W ), Z )
% 1.19/1.62 ) ) ],
% 1.19/1.62 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ),
% 1.19/1.62 =( Y, T ) ],
% 1.19/1.62 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ),
% 1.19/1.62 =( X, T ) ],
% 1.19/1.62 [ =( hAPP( 'c_Relation_OImage'( X, Y, Z ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.19/1.62 Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) )
% 1.19/1.62 , hAPP( 'c_Collect'( Z ), hAPP( hAPP( 'c_COMBC'( Z, 'tc_fun'( 'tc_prod'(
% 1.19/1.62 Y, Z ), 'tc_bool' ), 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_prod'( Y, Z
% 1.19/1.62 ), 'tc_fun'( 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ), 'tc_bool' ), Z )
% 1.19/1.62 , 'c_in'( 'tc_prod'( Y, Z ) ) ), hAPP( 'c_Pair'( Y, Z ), T ) ) ), X ) ) )
% 1.19/1.62 ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ), Z ), hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ) ), U ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.19/1.62 'tc_bool' ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.19/1.62 [ ~( =( 'c_Product__Type_OSigma'( X, hAPP( 'c_COMBK'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ), Z ), T ), Z, Y ), 'c_Product__Type_OSigma'( U, hAPP(
% 1.19/1.62 'c_COMBK'( 'tc_fun'( Y, 'tc_bool' ), Z ), T ), Z, Y ) ) ), ~( hBOOL( hAPP(
% 1.19/1.62 hAPP( 'c_in'( Y ), W ), T ) ) ), =( X, U ) ],
% 1.19/1.62 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.19/1.62 , Z, V2, Y ) ) ],
% 1.19/1.62 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.19/1.62 , V2, Z, Y ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBI'( X ), X, X ), Y ), Y ) ],
% 1.19/1.62 [ ~( =( 'c_List_Ofilter'( X, Y, Z ), Y ) ), hBOOL( hAPP( X, T ) ), ~(
% 1.19/1.62 hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), 'c_List_Oset'( Y, Z ) ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'class_Orderings_Oorder'( Y ) )
% 1.19/1.62 , hBOOL( 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ), ~( hBOOL(
% 1.19/1.62 'c_Orderings_Oorder__class_Ostrict__mono'( Z, X, Y ) ) ) ],
% 1.19/1.62 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 X, Y, Z ), T ), U ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z
% 1.19/1.62 , 'tc_bool' ) ) ), Y ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'(
% 1.19/1.62 U, Z, X ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 1.19/1.62 X ) ) ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.19/1.62 hAPP( 'c_lessequals'( X ), hAPP( Y, Z ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X ), U ), Y ) )
% 1.19/1.62 ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 1.19/1.62 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), X ) ) ],
% 1.19/1.62 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.19/1.62 'c_Set_Oinsert'( Z ), U ), Y ), Z, T ) ) ],
% 1.19/1.62 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ),
% 1.19/1.62 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ) ) ) ), hBOOL( hAPP(
% 1.19/1.62 hAPP( 'c_in'( Z ), hAPP( 'c_List_Onth'( Y, Z ), X ) ), 'c_List_Oset'( Y,
% 1.19/1.62 Z ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( 'c_List_Onth'( Y, X ), Z ) ),
% 1.19/1.62 'c_List_Oset'( Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), 'c_Nat_Osize__class_Osize'( Y
% 1.19/1.62 , 'tc_List_Olist'( X ) ) ) ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Set_Oimage'( hAPP( 'c_COMBK'( X, Y ), Z ), Y, X ), T ),
% 1.19/1.62 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), U ), T
% 1.19/1.62 ) ) ) ],
% 1.19/1.62 [ =( hAPP( X, 'c_List_Oset'( Y, Z ) ), 'c_List_Ofoldl'( T, U, Y, Z, Z )
% 1.19/1.62 ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, T, U,
% 1.19/1.62 V3, Z ) ) ],
% 1.19/1.62 [ =( hAPP( X, 'c_List_Oset'( Y, Z ) ), 'c_List_Ofoldl'( T, U, Y, Z, Z )
% 1.19/1.62 ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, T, V2, V3
% 1.19/1.62 , U, Z ) ) ],
% 1.19/1.62 [ =( 'c_split'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_prod'( Y, X ) )
% 1.19/1.62 , 'tc_fun'( X, Z ), Y ), hAPP( 'c_COMBB'( 'tc_prod'( Y, X ), Z, X ), T )
% 1.19/1.62 ), 'c_Pair'( Y, X ) ), Y, X, Z ), T ) ],
% 1.19/1.62 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_bool', 'tc_bool', X ), 'c_Not' ), Y ) ), X ), ~(
% 1.19/1.62 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), X ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X )
% 1.19/1.62 , Y ), X ) ) ],
% 1.19/1.62 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ),
% 1.19/1.62 hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool', X ), 'c_Not' ), Y ) ), X ) )
% 1.19/1.62 , ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ) ) ],
% 1.19/1.62 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), hAPP( hAPP(
% 1.19/1.62 'c_Set_Oinsert'( Z ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.19/1.62 'tc_bool' ) ) ) ) ) ) ],
% 1.19/1.62 [ =( 'c_List_Oset'( 'c_List_Olist_ONil'( X ), X ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.19/1.62 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ),
% 1.19/1.62 ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.19/1.62 , 'c_List_Oset'( Y, Z ) ), 'c_List_Oset'( U, Z ) ), Z, T ) ), =( Y, U ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ),
% 1.19/1.62 =( Y, U ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.19/1.62 , 'c_List_Oset'( Y, Z ) ), 'c_List_Oset'( U, Z ) ), Z, T ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 1.19/1.62 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.62 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Z ), T ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.19/1.62 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), hAPP(
% 1.19/1.62 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 1.19/1.62 'tc_bool' ) ), T ), hAPP( 'c_Collect'( Z ), X ) ) ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( 'c_COMBK'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ), X ), T ) ), T ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, X ),
% 1.19/1.62 'c_List_Oset'( Z, Y ) ), T ), 'c_List_Ofoldl'( hAPP( 'c_COMBC'( Y, X, X )
% 1.19/1.62 , hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ) ), T ) ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( X ), Z, X, Y ) ) ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, X ), Z ), hAPP(
% 1.19/1.62 'c_COMBK'( X, Y ), T ) ), T ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.19/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.19/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.19/1.62 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, X,
% 1.19/1.62 T ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 1.19/1.62 ), ~( 'c_Orderings_Oorder'( X, T, U ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'( X, Y ) ) ), ~( hBOOL( hAPP(
% 1.19/1.62 X, Z ) ) ), =( 'c_Hilbert__Choice_OEps'( X, Y ), Z ) ],
% 1.19/1.62 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~(
% 1.19/1.62 'c_Lattices_Oboolean__algebra'( T, X, U, W, V0, V1, V2, V3, V4 ) ), =( Y
% 1.19/1.62 , Z ) ],
% 1.19/1.62 [ =( hAPP( 'c_Relation_OImage'( X, Y, Z ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.62 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Relation_OImage'( X, Y, Z ), T ) ),
% 1.19/1.62 hAPP( 'c_Relation_OImage'( X, Y, Z ), U ) ) ) ],
% 1.19/1.62 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.19/1.62 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 1.19/1.62 Y, Z ) ],
% 1.19/1.62 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 1.19/1.62 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ =( hAPP( 'c_Set_Oimage'( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), Z
% 1.19/1.62 , Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), hAPP(
% 1.19/1.62 'c_Set_Oimage'( T, X, Y ), hAPP( 'c_Set_Oimage'( U, Z, X ),
% 1.19/1.62 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.19/1.62 X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , T ), Z ) ) ) ) ],
% 1.19/1.62 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 1.19/1.62 [ hBOOL( 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z
% 1.19/1.62 , T, U ), Z, U ) ), ~( hBOOL( 'c_Relation_Osingle__valued'( Y, T, U ) ) )
% 1.19/1.62 , ~( hBOOL( 'c_Relation_Osingle__valued'( X, Z, T ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( T
% 1.19/1.62 , 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ) ), U ) ), W ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( T,
% 1.19/1.62 'tc_bool' ) ), Z ), U ) ), W ) ) ],
% 1.19/1.62 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 1.19/1.62 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 1.19/1.62 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 1.19/1.62 'tc_Lambda_OdB' ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.19/1.62 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.19/1.62 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ), T ) ) ) ],
% 1.19/1.62 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 1.19/1.62 , 'c_List_Olist_ONil'( X ) ) ],
% 1.19/1.62 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 1.19/1.62 , 'c_List_Olist_ONil'( X ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( T, 'tc_fun'( Y
% 1.19/1.62 , 'tc_bool' ), X ), U ), W ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( W, X, T ), Z ) ), U ) ) ],
% 1.19/1.62 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 1.19/1.62 ) ],
% 1.19/1.62 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.19/1.62 hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Z ), T ) ) ), =( hAPP( T, U ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 1.19/1.62 hAPP( hAPP( 'c_in'( Y ), U ), Z ) ) ) ],
% 1.19/1.62 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 1.19/1.62 , 'c_List_Olist_ONil'( Z ) ) ],
% 1.19/1.62 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 1.19/1.62 , 'c_List_Olist_ONil'( Z ) ) ],
% 1.19/1.62 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ),
% 1.19/1.62 =( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ),
% 1.19/1.62 'c_Nat_Osize__class_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Fun_Oid'( 't_a' ), 'v_x' ), 'v_x' ) ],
% 1.19/1.62 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.19/1.62 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), X ), Z ), Y ) ) ],
% 1.19/1.62 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.19/1.62 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), Z ), X ), Y ) ) ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.19/1.62 hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, X ), Z ), T ) )
% 1.19/1.62 , hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), U ), Z ) ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.19/1.62 ) ) ), Y ), Y ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ) ), Y ) ],
% 1.19/1.62 [ =( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.62 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'(
% 1.19/1.62 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'( 't_a' ) ), X ) ), hAPP( hAPP(
% 1.19/1.62 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.19/1.62 't_a' ) ), Y ) ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ), hAPP(
% 1.19/1.62 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a',
% 1.19/1.62 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 ), Z ) ), T ), T ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.19/1.62 ), T ) ), Y ) ],
% 1.19/1.62 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 1.19/1.62 Z ) ) ) ],
% 1.19/1.62 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y
% 1.19/1.62 , Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ), =( T, U ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.19/1.62 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 1.19/1.62 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.19/1.62 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 1.19/1.62 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), hAPP( Y, Z ) ), hAPP( Y, T ) ) ), ~(
% 1.19/1.62 hBOOL( hAPP( hAPP( U, Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.62 'c_Orderings_Oorder_Ostrict__mono'( U, W, X ), Y ) ) ), ~(
% 1.19/1.62 'c_Orderings_Oorder'( V0, U, W ) ) ],
% 1.19/1.62 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.19/1.62 hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Z ), T ) ) ), =( hAPP( T, U ),
% 1.19/1.62 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 1.19/1.62 hAPP( hAPP( 'c_in'( Y ), U ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Owellorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), 'c_Orderings_Oord__class_OLeast'( Y, X ) ), Z ) ),
% 1.19/1.62 ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.19/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.19/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.62 X ), hAPP( Y, Z ) ), hAPP( Y, T ) ) ), ~( hBOOL( hAPP( hAPP( U, Z ), T )
% 1.19/1.62 ) ), ~( hBOOL( hAPP( 'c_Orderings_Oorder_Omono'( U, W, X ), Y ) ) ), ~(
% 1.19/1.62 'c_Orderings_Oorder'( U, V0, W ) ) ],
% 1.19/1.62 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.19/1.62 ) ), Y ) ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Set_Oimage'( hAPP( 'c_COMBK'( X, Y ), Z ), Y, X ), T ),
% 1.19/1.62 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ) ) ), =( T, 'c_Orderings_Obot__class_Obot'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.19/1.62 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.19/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ), hAPP( hAPP(
% 1.19/1.62 'c_Finite__Set_Osetsum'( X, X ), 'c_Fun_Oid'( X ) ), hAPP( 'c_Set_Oimage'(
% 1.19/1.62 Z, Y, X ), T ) ) ), ~( 'c_Fun_Oinj__on'( Z, T, Y, X ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.19/1.62 'c_List_Oset'( T, Z ) ) ) ), ~( hBOOL( 'c_List_Olistsp'( X, T, Z ) ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 1.19/1.62 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 1.19/1.62 , Y ) ],
% 1.19/1.62 [ 'c_Lambda_Obeta'( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 1.19/1.62 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 1.19/1.62 , Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( 'c_Lambda_Obeta'( X, Z )
% 1.19/1.62 ) ],
% 1.19/1.62 [ ~( =( hAPP( 'c_Predicate_Oeval'( X ), Y ), hAPP( 'c_Predicate_Oeval'(
% 1.19/1.62 X ), Z ) ) ), =( Y, Z ) ],
% 1.19/1.62 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_in'( X ), Y ), T ) ) ), ~( =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , T ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.19/1.62 ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.19/1.62 'c_Orderings_Otop__class_Otop'( X ) ), Y ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.19/1.62 'c_Orderings_Otop__class_Otop'( X ) ), Y ), Y ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.19/1.62 ) ) ), Y ), Y ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ) ), Y ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.62 X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.19/1.62 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) )
% 1.19/1.62 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.19/1.62 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP(
% 1.19/1.62 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ ~( 'c_Orderings_Oorder'( X, Y, Z ) ), hBOOL( hAPP( hAPP( X, T ), T ) )
% 1.19/1.62 ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.19/1.62 'c_Complete__Lattice_OInf__class_OInf'( X ),
% 1.19/1.62 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.62 ), Y ), Z ) ) ) ],
% 1.19/1.62 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 1.19/1.62 ) ) ],
% 1.19/1.62 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 1.19/1.62 ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 1.19/1.62 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.19/1.62 ), Y ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( T, 'tc_fun'( Y
% 1.19/1.62 , 'tc_bool' ), X ), U ), W ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( W, X, T ), Z ) ), U ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 1.19/1.62 hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z ) ) ) )
% 1.19/1.62 ],
% 1.19/1.62 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 1.19/1.62 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.19/1.62 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.19/1.62 [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U ),
% 1.19/1.62 'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T, U
% 1.19/1.62 ), U ) ) ],
% 1.19/1.62 [ ~( =( hAPP( 'c_Collect'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.19/1.62 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ), =(
% 1.19/1.62 Y, X ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.19/1.62 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ],
% 1.19/1.62 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', Z ),
% 1.19/1.62 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U,
% 1.19/1.62 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Y ) ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.19/1.62 'c_Type_Otyping', Z ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 1.19/1.62 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 1.19/1.62 ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.19/1.62 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ), =(
% 1.19/1.62 Y, X ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.62 X ), Y ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.62 X ), Y ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.62 X ), Z ), Y ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.19/1.62 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 1.19/1.62 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.19/1.62 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.19/1.62 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.62 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y
% 1.19/1.62 ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 1.19/1.62 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ), hBOOL(
% 1.19/1.62 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 1.19/1.62 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.19/1.62 [ =( 'c_List_Oset'( 'c_List_Oappend'( X, Y, Z ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.19/1.62 , 'c_List_Oset'( X, Z ) ), 'c_List_Oset'( Y, Z ) ) ) ],
% 1.19/1.62 [ ~( =( hAPP( hAPP( hAPP( 'c_Recdef_Ocut'( X, Y ), Z ), T ), U ), hAPP(
% 1.19/1.62 hAPP( hAPP( 'c_Recdef_Ocut'( X, Y ), W ), T ), U ) ) ), =( hAPP( Z, V0 )
% 1.19/1.62 , hAPP( W, V0 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ),
% 1.19/1.62 hAPP( hAPP( 'c_Pair'( X, X ), V0 ), U ) ), T ) ) ) ],
% 1.19/1.62 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 1.19/1.62 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 1.19/1.62 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 1.19/1.62 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.19/1.62 , Y ), Z ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.19/1.62 , Y ), Z ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.19/1.62 , Y ), Z ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.62 hAPP( 'c_in'( 'tc_prod'( U, X ) ), hAPP( hAPP( 'c_Pair'( U, X ), T ), Y )
% 1.19/1.62 ), 'c_Product__Type_OSigma'( W, Z, U, X ) ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_in'( 'tc_prod'( X, T ) ), hAPP( hAPP( 'c_Pair'( X, T ), Y ), U ) ),
% 1.19/1.62 'c_Product__Type_OSigma'( Z, W, X, T ) ) ) ) ],
% 1.19/1.62 [ 'c_Fun_Oinj__on'( 'c_Fun_Oid'( X ), Y, X, X ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.19/1.62 X ), Z ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_Set_Oinsert'( X ), Y ), T ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 , Z ) ), T ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.19/1.62 ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 1.19/1.62 ],
% 1.19/1.62 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 1.19/1.62 ],
% 1.19/1.62 [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_COMBK'( X, Y ), Z ), T ), Z ) ],
% 1.19/1.62 [ =( 'c_Predicate_Opred_OPred'( hAPP( 'c_Predicate_Oeval'( X ), Y ), X )
% 1.19/1.62 , Y ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X ) ),
% 1.19/1.62 =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 1.19/1.62 X ), Y ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.19/1.62 Y, T, X ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ) ) )
% 1.19/1.62 ) ],
% 1.19/1.62 [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ),
% 1.19/1.62 'c_List_Olist_ONil'( Z ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Predicate_Oeval'( X ), 'c_Predicate_Opred_OPred'( Y, X ) )
% 1.19/1.62 , Y ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 , T ) ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), Z ), U ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( T
% 1.19/1.62 , 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ) ), U ) ), W ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( T,
% 1.19/1.62 'tc_bool' ) ), Z ), U ) ), W ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.19/1.62 X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.19/1.62 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.19/1.62 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.19/1.62 , 'tc_bool' ) ) ) ],
% 1.19/1.62 [ ~( =( 'c_Predicate_Opred_OPred'( X, Y ), 'c_Predicate_Opred_OPred'( Z
% 1.19/1.62 , Y ) ) ), =( X, Z ) ],
% 1.19/1.62 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Finite__Set_Osetsum'( Z, X ), T ), U ) ), hAPP( hAPP(
% 1.19/1.62 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP( 'c_COMBB'( X, X, Z ), hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), T ) ), U ) ) ],
% 1.19/1.62 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), Y, Z ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ), T ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.19/1.62 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.19/1.62 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_in'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , T ), Z ) ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_in'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Z ), T ) ) ) ) ],
% 1.19/1.62 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.19/1.62 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y,
% 1.19/1.62 Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 1.19/1.62 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.19/1.62 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 1.19/1.62 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 1.19/1.62 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.19/1.62 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 1.19/1.62 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 1.19/1.62 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 1.19/1.62 ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~(
% 1.19/1.62 hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.19/1.62 'c_Finite__Set_Olattice__class_OSup__fin'( Z, X ) ), Y ), ~( hBOOL( hAPP(
% 1.19/1.62 hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 , T ) ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), Z ), U ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( 't_a'
% 1.19/1.62 , 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.19/1.62 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'(
% 1.19/1.62 't_a', 'tc_bool' ), X ), hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a',
% 1.19/1.62 'tc_bool' ), 'tc_bool' ), 'c_in'( 't_a' ) ) ), Y ) ), 'v_x' ), hAPP( hAPP(
% 1.19/1.62 'c_in'( 't_a' ), 'v_x' ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( 't_a'
% 1.19/1.62 , 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.19/1.62 ) ), Y ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 1.19/1.62 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ), hBOOL(
% 1.19/1.62 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 1.19/1.62 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.19/1.62 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.62 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.19/1.62 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.62 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.19/1.62 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.62 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.62 X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.19/1.62 Z ), Y ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.62 X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.19/1.62 Y ), Z ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Z ), Y ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.62 X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.19/1.62 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP(
% 1.19/1.62 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ),
% 1.19/1.62 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP(
% 1.19/1.62 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 , Z ) ), T ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' )
% 1.19/1.62 ) ) ],
% 1.19/1.62 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.62 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ) ) ) ), =( Y, Z ) ],
% 1.19/1.62 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 1.19/1.62 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 1.19/1.62 , Y ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 1.19/1.62 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.19/1.62 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.19/1.62 'c_Lattices_Odistrib__lattice'( W, V0, X, Z, V1 ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.19/1.62 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.19/1.62 'c_Lattices_Odistrib__lattice'( W, V0, X, Y, V1 ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.19/1.62 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.19/1.62 'c_Lattices_Odistrib__lattice'( W, V0, Z, X, V1 ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.19/1.62 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.19/1.62 'c_Lattices_Odistrib__lattice'( W, V0, Y, X, V1 ) ) ],
% 1.19/1.62 [ ~( =( hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' )
% 1.19/1.62 , 'c_in'( X ) ), Y ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' )
% 1.19/1.62 , 'tc_bool' ), 'c_in'( X ) ), Z ) ) ), =( Y, Z ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_Orderings_Oorder'( hAPP(
% 1.19/1.62 'c_COMBC'( X, X, 'tc_bool' ), 'c_lessequals'( X ) ), hAPP( 'c_COMBC'( X,
% 1.19/1.62 X, 'tc_bool' ), 'c_HOL_Oord__class_Oless'( X ) ), X ) ],
% 1.19/1.62 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'(
% 1.19/1.62 X, Z ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'( X, Y ) ) ), ~( hBOOL( hAPP(
% 1.19/1.62 X, Z ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y, 'tc_bool' ),
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool'
% 1.19/1.62 ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 ), Z ) ), T ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool'
% 1.19/1.62 ) ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Set_Oimage'( hAPP( 'c_COMBK'( X, Y ), Z ), Y, X ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Collect'( X ), Z ) ) ),
% 1.19/1.62 ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), hAPP(
% 1.19/1.62 'c_Collect'( Z ), X ) ) ) ) ],
% 1.19/1.62 [ =( 'c_List_Ofilter'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 1.19/1.62 'c_List_Olist_ONil'( Y ) ) ],
% 1.19/1.62 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 1.19/1.62 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( 'c_COMBK'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ), X ), T ) ), T ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, X ), Z ), hAPP(
% 1.19/1.62 'c_COMBK'( X, Y ), T ) ), T ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T ) ), ~(
% 1.19/1.62 hBOOL( hAPP( Z, T ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), hAPP( Y, Z ) ), hAPP(
% 1.19/1.62 'c_Set_Oimage'( Y, T, X ), U ) ), hAPP( 'c_Set_Oimage'( Y, T, X ), U ) )
% 1.19/1.62 , ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ],
% 1.19/1.62 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_Set_Oinsert'( X ), Y ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.19/1.62 T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Z, T ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 1.19/1.62 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), Y ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 1.19/1.62 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), Z ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.62 X ), 'c_Finite__Set_Olattice__class_OInf__fin'( Y, X ) ),
% 1.19/1.62 'c_Finite__Set_Olattice__class_OSup__fin'( Y, X ) ) ), =( Y,
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.19/1.62 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.19/1.62 U, W ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), T ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.19/1.62 U, W ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), T ) ) ) ],
% 1.19/1.62 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.19/1.62 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ) ), hAPP( 'c_COMBK'( 'tc_fun'( Y, 'tc_bool' ), X ), Z ) )
% 1.19/1.62 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Relation_OImage'( X, Y, Z ), T ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( Z,
% 1.19/1.62 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.19/1.62 'tc_fun'( Z, 'tc_bool' ), Y ), 'c_Relation_OImage'( X, Y, Z ) ), hAPP(
% 1.19/1.62 hAPP( 'c_COMBC'( Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 , 'c_Set_Oinsert'( Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ) ) ) ) ) ],
% 1.19/1.62 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 1.19/1.62 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 1.19/1.62 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.19/1.62 'c_Complete__Lattice_OInf__class_OInf'( X ), 'c_List_Oset'( Y, X ) ),
% 1.19/1.62 'c_List_Ofoldl'( 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.19/1.62 'c_Orderings_Otop__class_Otop'( X ), Y, X, X ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.62 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 1.19/1.62 ), T ) ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.62 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 1.19/1.62 ), Z ) ) ) ) ],
% 1.19/1.62 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 1.19/1.62 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 1.19/1.62 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 1.19/1.62 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y
% 1.19/1.62 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.19/1.62 , 'tc_bool' ) ), X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ) ), T ) ), U ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X,
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), U ) ) ],
% 1.19/1.62 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 1.19/1.62 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 1.19/1.62 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 1.19/1.62 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z ),
% 1.19/1.62 ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), hAPP( hAPP(
% 1.19/1.62 'c_Lambda_OdB_OApp', Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.19/1.62 'c_Type_Otyping', X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.19/1.62 'c_Type_Otyping', X ), Y ), 'c_Type_Otype_OFun'( U, T ) ) ) ) ],
% 1.19/1.62 [ =( 'c_Finite__Set_Olattice_OSup__fin'( X, Y, Z ), hAPP( T, Y ) ), =( Y
% 1.19/1.62 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.19/1.62 'c_Finite__Set_Ofinite'( Y, Z ) ), ~(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice'( U, T, W, V0, V1, X, V2, V3, Z )
% 1.19/1.62 ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ), Z ), hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ) ), U ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 , T ) ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), Z ), U ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ), Z ), hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ) ), U ) ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_List_Onth'( 'c_List_Omap'( X, Y, Z, T ), T ), U ), hAPP( X
% 1.19/1.62 , hAPP( 'c_List_Onth'( Y, Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( 'tc_nat' ), U ), 'c_Nat_Osize__class_Osize'( Y
% 1.19/1.62 , 'tc_List_Olist'( Z ) ) ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.62 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'(
% 1.19/1.62 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'( 't_a' ) ), X ) ), hAPP( hAPP(
% 1.19/1.62 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.19/1.62 't_a' ) ), Y ) ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ), hAPP(
% 1.19/1.62 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a',
% 1.19/1.62 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.19/1.62 [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ],
% 1.19/1.62 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.19/1.62 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Y, T ) ],
% 1.19/1.62 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.19/1.62 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Y, T ) ],
% 1.19/1.62 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.19/1.62 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Z, U ) ],
% 1.19/1.62 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.19/1.62 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Z, U ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ),
% 1.19/1.62 'c_Lattices_Odistrib__lattice'( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.19/1.62 'c_lessequals'( X ) ), hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ) ),
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), X ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 , T ) ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), Z ), U ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), hAPP( hAPP( 'c_Pair'(
% 1.19/1.62 X, Y ), Z ), T ) ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), hAPP(
% 1.19/1.62 'c_Relation_OImage'( U, X, Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Relation_OImage'( Z, T,
% 1.19/1.62 X ), hAPP( hAPP( 'c_Set_Oinsert'( T ), U ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ), ~(
% 1.19/1.62 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), hAPP( hAPP( 'c_Pair'( T,
% 1.19/1.62 X ), U ), Y ) ), Z ) ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 1.19/1.62 ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T )
% 1.19/1.62 ), U ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ), hAPP( U, Z ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), T ), U ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Relation_OImage'( Z, T,
% 1.19/1.62 X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), hAPP(
% 1.19/1.62 hAPP( 'c_Pair'( T, X ), W ), Y ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.19/1.62 T ), W ), U ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Relation_OImage'( Z, T,
% 1.19/1.62 X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), hAPP(
% 1.19/1.62 hAPP( 'c_Pair'( T, X ), W ), Y ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.19/1.62 T ), W ), U ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( X, 'c_Fun_Oid'( Y ) ), Z ), Z ), ~( hBOOL(
% 1.19/1.62 'c_Record_Oiso__tuple__update__accessor__cong__assist'( X, T, Y, U ) ) )
% 1.19/1.62 ],
% 1.19/1.62 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.62 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 1.19/1.62 , X, V0, V1, V2, U, V3, V4, Y ) ) ],
% 1.19/1.62 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.62 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 1.19/1.62 , W, V0, V1, U, V2, V3, V4, Y ) ) ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.19/1.62 hAPP( 'c_lessequals'( X ), hAPP( 'c_Complete__Lattice_OInf__class_OInf'(
% 1.19/1.62 X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ) ],
% 1.19/1.62 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.19/1.62 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.19/1.62 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.19/1.62 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ) ],
% 1.19/1.62 [ ~( =( 'c_List_Ofilter'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), ~(
% 1.19/1.62 hBOOL( hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ),
% 1.19/1.62 'c_List_Oset'( Y, Z ) ) ) ) ],
% 1.19/1.62 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( Y, Z ) ) ) ), ~( hBOOL(
% 1.19/1.62 'c_Record_Oiso__tuple__update__accessor__cong__assist'( U, Y, W, V0 ) ) )
% 1.19/1.62 , =( hAPP( hAPP( U, X ), Z ), hAPP( hAPP( U, T ), Z ) ) ],
% 1.19/1.62 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, Z ) ) ), ~( hBOOL(
% 1.19/1.62 'c_Record_Oiso__tuple__update__accessor__cong__assist'( T, Y, U, W ) ) )
% 1.19/1.62 , =( hAPP( hAPP( T, X ), Z ), Z ) ],
% 1.19/1.62 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.19/1.62 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.19/1.62 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 1.19/1.62 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 1.19/1.62 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_Set_Oinsert'( Y ), Z ) ), T ) ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 1.19/1.62 T ), U ) ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), hAPP( X, T ) ), hAPP(
% 1.19/1.62 'c_Set_Oimage'( X, Y, Z ), U ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.62 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.19/1.62 Z ) ), Y ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.62 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.19/1.62 Z ) ), Z ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.19/1.62 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.19/1.62 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.19/1.62 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Z ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ ~( 'class_Orderings_Otop'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.62 ), Y ), 'c_Orderings_Otop__class_Otop'( X ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.19/1.62 ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.19/1.62 'c_Nat_Osize__class_Osize'( 'c_List_Ofilter'( X, Y, Z ), 'tc_List_Olist'(
% 1.19/1.62 Z ) ) ), 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ) ) ), hBOOL(
% 1.19/1.62 hAPP( X, T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), 'c_List_Oset'( Y
% 1.19/1.62 , Z ) ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_Set_Oinsert'( Y ), T
% 1.19/1.62 ) ), U ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), T ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), Z ), U ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ) ), Z ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ) ), hAPP( 'c_COMBK'( 'tc_fun'( Y, 'tc_bool' ), X ), Z ) )
% 1.19/1.62 , 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.19/1.62 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Z ), T ) ) ) ],
% 1.19/1.62 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.19/1.62 'c_Collect'( X ), Y ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Y ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 1.19/1.62 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), Z ), T ) ), U ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( X, 'tc_bool' ),
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool'
% 1.19/1.62 ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 ), T ) ), U ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~(
% 1.19/1.62 'class_Lattices_Oupper__semilattice'( Y ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( Y ), hAPP( Z, T ) ), hAPP(
% 1.19/1.62 Z, U ) ) ), hAPP( Z, hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), U ) ) ) ), ~(
% 1.19/1.62 hBOOL( 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), U ), W ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'tc_fun'( Z,
% 1.19/1.62 'tc_bool' ) ), U ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.19/1.62 'tc_fun'( Z, 'tc_bool' ), T ), 'c_Set_Oimage'( X, Y, Z ) ), W ) ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ 'c_Finite__Set_Ofinite'( 'c_List_Oset'( X, Y ), Y ) ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.19/1.62 'c_Complete__Lattice_OInf__class_OInf'( X ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.19/1.62 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, X ),
% 1.19/1.62 'c_List_Oset'( Z, Y ) ), T ), 'c_List_Ofoldl'( hAPP( 'c_COMBC'( Y, X, X )
% 1.19/1.62 , hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ) ), T ) ),
% 1.19/1.62 'c_Orderings_Otop__class_Otop'( X ), Z, X, Y ) ) ],
% 1.19/1.62 [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 1.19/1.62 ) ) ],
% 1.19/1.62 [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 1.19/1.62 ) ) ],
% 1.19/1.62 [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 1.19/1.62 ) ) ],
% 1.19/1.62 [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 1.19/1.62 ) ) ],
% 1.19/1.62 [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'( Z, T ) ) ),
% 1.19/1.62 =( Y, T ) ],
% 1.19/1.62 [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'( Z, T ) ) ),
% 1.19/1.62 =( X, Z ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.19/1.62 X, X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X
% 1.19/1.62 ) ), hAPP( hAPP( 'c_Pair'( X, X ), U ), Z ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.62 hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), Y ), U )
% 1.19/1.62 ), T ) ) ), ~( hBOOL( 'c_Relation_Otrans'( T, X ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'(
% 1.19/1.62 X, X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X
% 1.19/1.62 ) ), hAPP( hAPP( 'c_Pair'( X, X ), U ), Z ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.19/1.62 hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP( hAPP( 'c_Pair'( X, X ), Y ), U )
% 1.19/1.62 ), T ) ) ), ~( hBOOL( 'c_Relation_Otrans'( T, X ) ) ) ],
% 1.19/1.62 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.19/1.62 , Z, V2, Y ) ) ],
% 1.19/1.62 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.19/1.62 , V2, Z, Y ) ) ],
% 1.19/1.62 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.19/1.62 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), Z ), hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.19/1.62 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.62 'tc_bool', 'tc_bool' ), X ), 'c_or' ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ) ), hAPP( hAPP(
% 1.19/1.62 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Z ) )
% 1.19/1.62 ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( 'c_COMBK'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 1.19/1.62 ) ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.19/1.62 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.19/1.62 'c_List_Oset'( 'c_List_Olist_ONil'( X ), X ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.62 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 1.19/1.62 ) ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.62 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 1.19/1.62 ) ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.19/1.62 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.19/1.62 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.62 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 1.19/1.62 ) ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.62 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 1.19/1.62 ) ), Z ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( X, Y ), hAPP( Z, Y ) ), T ), ~(
% 1.19/1.62 'c_Lattices_Oboolean__algebra'( U, Z, W, V0, V1, X, V2, T, V3 ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( X, Y ), hAPP( Z, Y ) ), T ), ~(
% 1.19/1.62 'c_Lattices_Oboolean__algebra'( U, Z, W, V0, X, V1, T, V2, V3 ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), Z ), T ), ~(
% 1.19/1.62 'c_Lattices_Oboolean__algebra'( U, Y, W, V0, V1, X, V2, T, V3 ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), Z ), T ), ~(
% 1.19/1.62 'c_Lattices_Oboolean__algebra'( U, Y, W, V0, X, V1, T, V2, V3 ) ) ],
% 1.19/1.62 [ =( hAPP( X, hAPP( X, Y ) ), Y ), ~( 'c_Lattices_Oboolean__algebra'( Z
% 1.19/1.62 , X, T, U, W, V0, V1, V2, V3 ) ) ],
% 1.19/1.62 [ ~( 'c_Lattices_Oboolean__algebra'( X, Y, Z, T, U, W, hAPP( hAPP( U, V0
% 1.19/1.62 ), V1 ), hAPP( hAPP( W, V0 ), V1 ), V2 ) ), =( hAPP( Y, V0 ), V1 ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.19/1.62 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.19/1.62 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.62 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 1.19/1.62 ), T ) ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.62 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 1.19/1.62 ), Z ) ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), Z ), T ) ), U ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( X, 'tc_bool' ),
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool'
% 1.19/1.62 ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 ), T ) ), U ) ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( Z,
% 1.19/1.62 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Z, 'tc_bool' ),
% 1.19/1.62 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( Z, 'tc_fun'( 'tc_fun'(
% 1.19/1.62 Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z ) ),
% 1.19/1.62 X ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y
% 1.19/1.62 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.19/1.62 , 'tc_bool' ) ), X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ) ), T ) ), U ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X,
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), U ) ), =( Z,
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.19/1.62 'c_fequal'( X ) ), Y ) ) ), Z ) ) ],
% 1.19/1.62 [ ~( =( hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), Z ), T ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ) ) ), =( hAPP( T, U ), 'c_Orderings_Otop__class_Otop'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ), Z )
% 1.19/1.62 ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_in'( U ), T ), Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y
% 1.19/1.62 , W, X, V0, V1, V2, V3, V4, U ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_in'( U ), Y ), T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 1.19/1.62 , Z, X, V0, V1, V2, V3, V4, U ) ) ],
% 1.19/1.62 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 1.19/1.62 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 1.19/1.62 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Z ), Y ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Set_Oimage'( 'c_Fun_Oid'( X ), X, X ), Y ), Y ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), T ), U ) ), W ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBC'( Z, 'tc_fun'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.19/1.62 ), 'tc_fun'( Y, 'tc_bool' ) ), Z ),
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ) ), U ) ), W ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), hAPP( hAPP( 'c_Pair'(
% 1.19/1.62 X, Y ), Z ), T ) ), 'c_Relation_Orel__comp'( U, W, X, V0, Y ) ) ), ~(
% 1.19/1.62 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( V0, Y ) ), hAPP( hAPP( 'c_Pair'( V0
% 1.19/1.62 , Y ), V1 ), T ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X,
% 1.19/1.62 V0 ) ), hAPP( hAPP( 'c_Pair'( X, V0 ), Z ), V1 ) ), U ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ), Z ), hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ) ), U ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ), Z ), hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ) ), U ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), Z ), T ) ), U ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( X, 'tc_bool' ),
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool'
% 1.19/1.62 ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 ), T ) ), U ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Z ), ~( hBOOL( hAPP(
% 1.19/1.62 hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ) ) ), Z ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'class_Orderings_Oorder'( Y ) )
% 1.19/1.62 , hBOOL( hAPP( hAPP( 'c_lessequals'( Y ), hAPP( Z, T ) ), hAPP( Z, U ) )
% 1.19/1.62 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) ), ~( hBOOL(
% 1.19/1.62 'c_Orderings_Oorder__class_Omono'( Z, X, Y ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_COMBI'( 't_a' ), 'v_P' ), 'v_P' ) ],
% 1.19/1.62 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.19/1.62 'c_Set_Oimage'( Y, Z, X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.19/1.62 'tc_bool' ) ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 1.19/1.62 ), =( Y, Z ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T,
% 1.19/1.62 Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T,
% 1.19/1.62 Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 1.19/1.62 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T,
% 1.19/1.62 X ), Y ) ) ), ~( 'c_Orderings_Oorder'( T, Z, U ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), Z ), T ), U ) ), ~( hBOOL( hAPP( hAPP( T, W ), U ) ) ),
% 1.19/1.62 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), W ), Z ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), Z ), T ), U ) ), ~( hBOOL( hAPP( hAPP( T, W ), U ) ) ),
% 1.19/1.62 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), W ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.19/1.62 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.19/1.62 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.19/1.62 , Y ) ],
% 1.19/1.62 [ =( 'c_List_Oset'( 'c_List_Omap'( X, Y, Z, T ), T ), hAPP(
% 1.19/1.62 'c_Set_Oimage'( X, Z, T ), 'c_List_Oset'( Y, Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.62 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.62 X ), T ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.19/1.62 ) ) ) ],
% 1.19/1.62 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.19/1.62 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.19/1.62 X ), Z ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.19/1.62 ) ) ) ],
% 1.19/1.62 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.19/1.62 Y, X ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Owellorder'( X ) ), hBOOL( hAPP( Y,
% 1.19/1.62 'c_Orderings_Oord__class_OLeast'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) )
% 1.19/1.62 ],
% 1.19/1.62 [ ~( 'class_Orderings_Owellorder'( X ) ), hBOOL( hAPP( Y,
% 1.19/1.62 'c_Orderings_Oord__class_OLeast'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) )
% 1.19/1.62 ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_in'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Z ), hAPP( 'c_Collect'( X ), T ) ) ) ) ) ],
% 1.19/1.62 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 1.19/1.62 'c_Lambda_OdB_OVar'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.19/1.62 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.19/1.62 X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ), hAPP(
% 1.19/1.62 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ 'c_Lambda_Obeta'( 'c_Lambda_Olift'( X, Y ), 'c_Lambda_Olift'( Z, Y ) )
% 1.19/1.62 , ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 1.19/1.62 [ =( hAPP( X, 'c_Fun_Oid'( Y ) ), 'c_Fun_Oid'( Z ) ), ~( hBOOL(
% 1.19/1.62 'c_Record_Oiso__tuple__update__accessor__cong__assist'( X, T, Y, Z ) ) )
% 1.19/1.62 ],
% 1.19/1.62 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 1.19/1.62 , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 1.19/1.62 ) ) ) ],
% 1.19/1.62 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, 'c_List_Olist_ONil'( Z
% 1.19/1.62 ), Z, X ) ) ],
% 1.19/1.62 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 1.19/1.62 ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( T, 'tc_fun'( U,
% 1.19/1.62 'tc_bool' ) ) ), W ), X ), Y ), Z ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( T, 'tc_fun'( U,
% 1.19/1.62 'tc_bool' ) ) ), X ), W ), Y ), Z ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.19/1.62 , T ), X ), Y ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.19/1.62 , X ), T ), Y ) ) ) ],
% 1.19/1.62 [ =( 'c_List_Oset'( 'c_List_Ofilter'( X, Y, Z ), Z ), hAPP( 'c_Collect'(
% 1.19/1.62 Z ), hAPP( hAPP( 'c_COMBS'( Z, 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Z ), 'c_and' ),
% 1.19/1.62 hAPP( hAPP( 'c_COMBC'( Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.19/1.62 Z ) ), 'c_List_Oset'( Y, Z ) ) ) ), X ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y, 'tc_bool' ),
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool'
% 1.19/1.62 ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 ), Z ) ), T ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 1.19/1.62 ) ) ) ],
% 1.19/1.62 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 1.19/1.62 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 1.19/1.62 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 1.19/1.62 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.19/1.62 , U ), Y ), Z, T ) ) ],
% 1.19/1.62 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.19/1.62 , Y ), U ), Z, T ) ) ],
% 1.19/1.62 [ ~( =( hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool'
% 1.19/1.62 ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.19/1.62 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ) ),
% 1.19/1.62 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), X ), 'c_COMBC'( Y, 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool'
% 1.19/1.62 ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_prod'( X, Y )
% 1.19/1.62 ), 'tc_fun'( Y, 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ),
% 1.19/1.62 'tc_bool' ) ), X ), hAPP( 'c_COMBB'( 'tc_prod'( X, Y ), 'tc_fun'(
% 1.19/1.62 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ), Y ), 'c_in'(
% 1.19/1.62 'tc_prod'( X, Y ) ) ) ), 'c_Pair'( X, Y ) ) ) ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_COMBC'( X, 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'( 'tc_fun'(
% 1.19/1.62 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.19/1.62 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.19/1.62 'c_COMBC'( Y, 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ) ),
% 1.19/1.62 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_prod'( X, Y ) ), 'tc_fun'( Y,
% 1.19/1.62 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ), 'tc_bool' ) ), X ),
% 1.19/1.62 hAPP( 'c_COMBB'( 'tc_prod'( X, Y ), 'tc_fun'( 'tc_fun'( 'tc_prod'( X, Y )
% 1.19/1.62 , 'tc_bool' ), 'tc_bool' ), Y ), 'c_in'( 'tc_prod'( X, Y ) ) ) ),
% 1.19/1.62 'c_Pair'( X, Y ) ) ) ), T ) ) ), =( Z, T ) ],
% 1.19/1.62 [ =( 'c_Transitive__Closure_Ortranclp'(
% 1.19/1.62 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 1.19/1.62 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.19/1.62 'c_Finite__Set_Olattice__class_OInf__fin'( Y, X ), hAPP(
% 1.19/1.62 'c_Complete__Lattice_OInf__class_OInf'( X ), Y ) ), =( Y,
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.19/1.62 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.19/1.62 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 1.19/1.62 , ~( 'c_Lambda_Obeta'( X, Y ) ) ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.19/1.62 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 1.19/1.62 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.19/1.62 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Fun_Oid'( X ), Y ), Y ) ],
% 1.19/1.62 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.19/1.62 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.19/1.62 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ),
% 1.19/1.62 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oeval'( X ), 'c_Predicate_Obind'( Y, Z
% 1.19/1.62 , T, X ) ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_Predicate_Oeval'( X ), hAPP(
% 1.19/1.62 Z, W ) ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Predicate_Oeval'( T ), Y ), W
% 1.19/1.62 ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.19/1.62 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.19/1.62 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.19/1.62 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 1.19/1.62 Z ) ) ) ],
% 1.19/1.62 [ =( 'c_List_Ofilter'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 1.19/1.62 'c_List_Oappend'( 'c_List_Ofilter'( X, Y, T ), 'c_List_Ofilter'( X, Z, T
% 1.19/1.62 ), T ) ) ],
% 1.19/1.62 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.19/1.62 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.19/1.62 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.19/1.62 X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ), hAPP(
% 1.19/1.62 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( 'c_Collect'( X )
% 1.19/1.62 , hAPP( hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_or' ), hAPP( hAPP(
% 1.19/1.62 'c_COMBC'( X, X, 'tc_bool' ), 'c_fequal'( X ) ), Y ) ) ), hAPP( hAPP(
% 1.19/1.62 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Z ) )
% 1.19/1.62 ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), Z ), hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.19/1.62 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.62 'tc_bool', 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X,
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ) ), hAPP( hAPP(
% 1.19/1.62 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Z ) )
% 1.19/1.62 ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 1.19/1.62 , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ),
% 1.19/1.62 ~( hBOOL( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) )
% 1.19/1.62 ],
% 1.19/1.62 [ =( 'c_Predicate_OPowp'( 'v_A', 'v_B', 't_a' ), hAPP( 'c_All'( 't_a' )
% 1.19/1.62 , hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.19/1.62 'c_implies' ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' )
% 1.19/1.62 , 'tc_bool' ), 'c_in'( 't_a' ) ), 'v_B' ) ) ), 'v_A' ) ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Oimage'( T, U, Y ), W
% 1.19/1.62 ) ), hAPP( 'c_Set_Oimage'( hAPP( hAPP( 'c_COMBB'( Y, Z, U ), X ), T ), U
% 1.19/1.62 , Z ), W ) ) ],
% 1.19/1.62 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.19/1.62 , X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP(
% 1.19/1.62 hAPP( 'c_COMBC'( Y, X, X ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y
% 1.19/1.62 ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), U ) ), T ) ) ],
% 1.19/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Z,
% 1.19/1.62 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, X ), 'tc_fun'(
% 1.19/1.62 'tc_fun'( Z, 'tc_bool' ), X ), Y ), 'c_Finite__Set_Osetsum'( Z, X ) ), T
% 1.19/1.62 ) ), U ) ), W ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP(
% 1.19/1.62 'c_COMBC'( Z, 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_fun'( Y, X ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), X ), Z ),
% 1.19/1.62 'c_Finite__Set_Osetsum'( Y, X ) ), hAPP( 'c_COMBC'( Y, Z, X ), T ) ) ), W
% 1.19/1.62 ) ), U ) ) ],
% 1.19/1.62 [ =( 'c_Hilbert__Choice_OEps'( hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' )
% 1.19/1.62 , 'c_fequal'( X ) ), Y ), X ), Y ) ],
% 1.19/1.62 [ =( 'c_The'( hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ), 'c_fequal'( X )
% 1.19/1.62 ), Y ), X ), Y ) ],
% 1.19/1.62 [ 'c_Lattices_Odistrib__lattice'( hAPP( 'c_COMBC'( X, X, 'tc_bool' ), Y
% 1.19/1.62 ), hAPP( 'c_COMBC'( X, X, 'tc_bool' ), Z ), T, U, X ), ~(
% 1.19/1.62 'c_Lattices_Odistrib__lattice'( Y, Z, U, T, X ) ) ],
% 1.19/1.62 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, hAPP( 'c_COMBC'( Z, Z
% 1.19/1.62 , 'tc_bool' ), T ), hAPP( 'c_COMBC'( Z, Z, 'tc_bool' ), U ), W, V0, V1,
% 1.19/1.62 V2, Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, T, U, V0, W,
% 1.19/1.62 V2, V1, Z ) ) ],
% 1.19/1.62 [ 'c_Orderings_Oorder'( hAPP( 'c_COMBC'( X, X, 'tc_bool' ), Y ), hAPP(
% 1.19/1.62 'c_COMBC'( X, X, 'tc_bool' ), Z ), X ), ~( 'c_Orderings_Oorder'( Y, Z, X
% 1.19/1.62 ) ) ],
% 1.19/1.62 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.19/1.62 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.62 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Y ) ), Z ) ), X ), ~(
% 1.19/1.62 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Z ), X ) ), ~(
% 1.19/1.62 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ) ) ],
% 1.19/1.62 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ), ~(
% 1.19/1.62 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X
% 1.19/1.62 , 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.62 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Z ) ), Y ) ), X ) ) ],
% 1.19/1.62 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ), ~(
% 1.19/1.62 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X
% 1.19/1.62 , 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.62 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Y ) ), Z ) ), X ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.19/1.62 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.62 'tc_bool' ), X ), 'c_or' ), Y ) ), Z ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , hAPP( 'c_Collect'( X ), Y ) ), hAPP( 'c_Collect'( X ), Z ) ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.19/1.62 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.62 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_fequal'( X ), Y ) ) ), Z ) ), hAPP(
% 1.19/1.62 hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( X, Y ), 'c_Finite__Set_Olattice_OInf__fin'( Z, T, U ) )
% 1.19/1.62 , 'c_Finite__Set_Olattice_OInf__fin'( Z, hAPP( 'c_Collect'( U ), hAPP(
% 1.19/1.62 hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_bool', U ), 'c_Ex'( U ) )
% 1.19/1.62 , hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U,
% 1.19/1.62 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( 'tc_bool',
% 1.19/1.62 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool'
% 1.19/1.62 ) ), U ), 'c_COMBS'( U, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.19/1.62 , U ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), U )
% 1.19/1.62 , 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, U ), 'tc_fun'( U,
% 1.19/1.62 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'(
% 1.19/1.62 'tc_fun'( U, U ), 'tc_fun'( U, 'tc_bool' ) ), U ), 'c_COMBB'( U,
% 1.19/1.62 'tc_bool', U ) ), 'c_fequal'( U ) ) ), hAPP( X, Y ) ) ) ) ), hAPP( hAPP(
% 1.19/1.62 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_bool' ), 'c_in'( U ) ), T ) )
% 1.19/1.62 ) ), U ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool'
% 1.19/1.62 ) ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 1.19/1.62 'c_Lattices_Odistrib__lattice'( W, V0, Z, X, U ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.19/1.62 'c_Finite__Set_Olattice__class_OSup__fin'( Z, X ) ),
% 1.19/1.62 'c_Finite__Set_Olattice__class_OSup__fin'( hAPP( 'c_Collect'( X ), hAPP(
% 1.19/1.62 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) )
% 1.19/1.62 , hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool',
% 1.19/1.62 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.19/1.62 ) ), X ), 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.19/1.62 , X ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X )
% 1.19/1.62 , 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, X ), 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'(
% 1.19/1.62 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'( X,
% 1.19/1.62 'tc_bool', X ) ), 'c_fequal'( X ) ) ), hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ) ) ) ) ), hAPP(
% 1.19/1.62 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) )
% 1.19/1.62 , Z ) ) ) ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.19/1.62 'c_Finite__Set_Olattice__class_OInf__fin'( Z, X ) ),
% 1.19/1.62 'c_Finite__Set_Olattice__class_OInf__fin'( hAPP( 'c_Collect'( X ), hAPP(
% 1.19/1.62 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) )
% 1.19/1.62 , hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool',
% 1.19/1.62 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.19/1.62 ) ), X ), 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.19/1.62 , X ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X )
% 1.19/1.62 , 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, X ), 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'(
% 1.19/1.62 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'( X,
% 1.19/1.62 'tc_bool', X ) ), 'c_fequal'( X ) ) ), hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ) ) ) ) ), hAPP(
% 1.19/1.62 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) )
% 1.19/1.62 , Z ) ) ) ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( X, Y ), 'c_Finite__Set_Olattice_OSup__fin'( Z, T, U ) )
% 1.19/1.62 , 'c_Finite__Set_Olattice_OSup__fin'( Z, hAPP( 'c_Collect'( U ), hAPP(
% 1.19/1.62 hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_bool', U ), 'c_Ex'( U ) )
% 1.19/1.62 , hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U,
% 1.19/1.62 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( 'tc_bool',
% 1.19/1.62 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool'
% 1.19/1.62 ) ), U ), 'c_COMBS'( U, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.19/1.62 , U ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), U )
% 1.19/1.62 , 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, U ), 'tc_fun'( U,
% 1.19/1.62 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'(
% 1.19/1.62 'tc_fun'( U, U ), 'tc_fun'( U, 'tc_bool' ) ), U ), 'c_COMBB'( U,
% 1.19/1.62 'tc_bool', U ) ), 'c_fequal'( U ) ) ), hAPP( X, Y ) ) ) ) ), hAPP( hAPP(
% 1.19/1.62 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_bool' ), 'c_in'( U ) ), T ) )
% 1.19/1.62 ) ), U ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool'
% 1.19/1.62 ) ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 1.19/1.62 'c_Lattices_Odistrib__lattice'( W, V0, X, Z, U ) ) ],
% 1.19/1.62 [ =( hAPP( X, Y ), Z ), ~( 'c_Lattices_Oboolean__algebra'( T, X, U, W,
% 1.19/1.62 V0, V1, Z, Y, V2 ) ) ],
% 1.19/1.62 [ =( hAPP( X, Y ), Z ), ~( 'c_Lattices_Oboolean__algebra'( T, X, U, W,
% 1.19/1.62 V0, V1, Y, Z, V2 ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( T, Y ), hAPP( U, Z ) ) ), ~(
% 1.19/1.62 'c_Lattices_Oboolean__algebra'( X, U, W, V0, T, V1, V2, V3, V4 ) ) ],
% 1.19/1.62 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( U, hAPP( X, Z ) ),
% 1.19/1.62 hAPP( X, T ) ) ), ~( 'c_Lattices_Oboolean__algebra'( W, X, V0, V1, Y, U,
% 1.19/1.62 V2, V3, V4 ) ) ],
% 1.19/1.62 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( U, hAPP( X, Z ) ),
% 1.19/1.62 hAPP( X, T ) ) ), ~( 'c_Lattices_Oboolean__algebra'( W, X, V0, V1, U, Y,
% 1.19/1.62 V2, V3, V4 ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X ) ), Y )
% 1.19/1.62 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.62 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.62 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.19/1.62 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.19/1.62 ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.19/1.62 ],
% 1.19/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.19/1.62 X ), Y ), Y ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.19/1.62 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.19/1.62 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.19/1.62 , Y ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), hAPP( hAPP( 'c_Pair'(
% 1.19/1.62 X, Y ), Z ), T ) ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL(
% 1.19/1.62 hAPP( hAPP( 'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_in'( X ), Z ), U ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), hAPP( hAPP( 'c_Pair'(
% 1.19/1.62 X, Y ), Z ), T ) ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL(
% 1.19/1.62 hAPP( hAPP( 'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_in'( X ), Z ), U ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.19/1.62 ), U ) ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, 'tc_fun'( W,
% 1.19/1.62 'tc_bool' ) ), U ), X ), Z ) ) ) ],
% 1.19/1.62 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP( T
% 1.19/1.62 , Y ), U ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( W,
% 1.19/1.62 'tc_bool' ) ), Z ), T ), U ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.19/1.62 ), U ) ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, 'tc_fun'( W,
% 1.19/1.62 'tc_bool' ) ), U ), X ), Z ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.19/1.62 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.19/1.62 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.19/1.62 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 1.19/1.62 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 1.19/1.62 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 1.19/1.62 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 1.19/1.62 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 1.19/1.62 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 1.19/1.62 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 1.19/1.62 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( Z, T, X ), U ) ), W
% 1.19/1.62 ), hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T
% 1.19/1.62 , 'tc_fun'( Y, 'tc_bool' ) ), U ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( Y
% 1.19/1.62 , 'tc_bool' ), T ), W ), Z ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), Z ), T ) ), U ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( X, 'tc_bool' ),
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool'
% 1.19/1.62 ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 ), T ) ), U ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ) ) ],
% 1.19/1.62 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( T,
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.19/1.62 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 1.19/1.62 Z ) ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.19/1.62 'c_fequal'( X ) ), Y ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.19/1.62 'c_Finite__Set_Olattice__class_OSup__fin'( Y, X ), hAPP(
% 1.19/1.62 'c_Complete__Lattice_OSup__class_OSup'( X ), Y ) ), =( Y,
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.19/1.62 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.19/1.62 'c_Orderings_Oorder_Omono'( Y, Z, X ), T ) ), ~( hBOOL( hAPP(
% 1.19/1.62 'c_Orderings_Oorder_Ostrict__mono'( U, Z, X ), T ) ) ), ~(
% 1.19/1.62 'c_Orderings_Oorder'( Y, U, Z ) ) ],
% 1.19/1.62 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 1.19/1.62 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 1.19/1.62 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 Z, Y ), X ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Z ), T ) ), U ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X,
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ), Z ), U ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), T ), U ) ) ) ],
% 1.19/1.62 [ =( 'c_Hilbert__Choice_OEps'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.19/1.62 X, 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X
% 1.19/1.62 , 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oinsert'( X ) ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), Y ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.19/1.62 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.19/1.62 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Y )
% 1.19/1.62 ) ],
% 1.19/1.62 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Y )
% 1.19/1.62 ) ],
% 1.19/1.62 [ ~( =( hAPP( hAPP( 'c_Pair'( X, Y ), Z ), T ), hAPP( hAPP( 'c_Pair'( X
% 1.19/1.62 , Y ), U ), W ) ) ), =( Z, U ) ],
% 1.19/1.62 [ ~( =( hAPP( hAPP( 'c_Pair'( X, Y ), Z ), T ), hAPP( hAPP( 'c_Pair'( X
% 1.19/1.62 , Y ), U ), W ) ) ), =( T, W ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.19/1.62 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 1.19/1.62 ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Z ), hAPP( 'c_Collect'( X ), T ) ) ) ), ~( hBOOL( hAPP( T, Y ) ) ), ~(
% 1.19/1.62 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( hAPP( hAPP( 'c_Recdef_Ocut'( X, Y ), Z ), T ), U ), W )
% 1.19/1.62 , hAPP( Z, W ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP(
% 1.19/1.62 hAPP( 'c_Pair'( X, X ), W ), U ) ), T ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( hAPP( hAPP( 'c_Recdef_Ocut'( X, Y ), Z ), T ), U ), W )
% 1.19/1.62 , hAPP( Z, W ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), hAPP(
% 1.19/1.62 hAPP( 'c_Pair'( X, X ), W ), U ) ), T ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), hAPP( Y, Z ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), U ), Y ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), U ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) )
% 1.19/1.62 ) ],
% 1.19/1.62 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 1.19/1.62 Z ) ) ) ],
% 1.19/1.62 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 1.19/1.62 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, T ) ), hAPP(
% 1.19/1.62 hAPP( 'c_Pair'( Z, T ), U ), Y ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.19/1.62 'tc_prod'( Z, T ) ), hAPP( hAPP( 'c_Pair'( Z, T ), U ), X ) ), W ) ) ),
% 1.19/1.62 ~( hBOOL( 'c_Relation_Osingle__valued'( W, Z, T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice'(
% 1.19/1.62 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 1.19/1.62 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( 'c_COMBC'( X, X,
% 1.19/1.62 'tc_bool' ), 'c_lessequals'( X ) ), hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ) ),
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.19/1.62 'c_Orderings_Otop__class_Otop'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 1.19/1.62 , X ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), T ), U ) ), W ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBC'( Z, 'tc_fun'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.19/1.62 ), 'tc_fun'( Y, 'tc_bool' ) ), Z ),
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ) ), U ) ), W ) ) ) ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( 't_b' ) ), =( hAPP(
% 1.19/1.62 hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( 't_a', 't_b'
% 1.19/1.62 ), 'v_A' ), 'v_f' ), hAPP( 'c_Complete__Lattice_OInf__class_OInf'( 't_b'
% 1.19/1.62 ), hAPP( 'c_Set_Oimage'( 'v_f', 't_a', 't_b' ), 'v_A' ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Z ), T ) ), U ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X,
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ), Z ), U ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), T ), U ) ) ) ],
% 1.19/1.62 [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL(
% 1.19/1.62 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL(
% 1.19/1.62 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y
% 1.19/1.62 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.19/1.62 , 'tc_bool' ) ), X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ) ), T ) ), U ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X,
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), U ) ), =( Z,
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.19/1.62 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( U, Y, Z, T ) ) ),
% 1.19/1.62 =( hAPP( X, W ), hAPP( U, W ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ),
% 1.19/1.62 'c_List_Oset'( Y, Z ) ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 1.19/1.62 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ) ), Z ), T ), U ), W ) ), ~( hBOOL( hAPP( hAPP( T, U ), W )
% 1.19/1.62 ) ), ~( hBOOL( hAPP( hAPP( Z, U ), W ) ) ) ],
% 1.19/1.62 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) ) ), =( Y
% 1.19/1.62 , 'c_List_Olist_ONil'( Z ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Collect'( X ), hAPP( 'c_fequal'( X ), Y ) ), hAPP( hAPP(
% 1.19/1.62 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ) ) ) ],
% 1.19/1.62 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 1.19/1.62 ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( Z, Y, T ), X ), T ) ) ]
% 1.19/1.62 ,
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.19/1.62 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.19/1.62 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.19/1.62 [ ~( =( 'c_List_Oset'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.19/1.62 Y, 'tc_bool' ) ) ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 1.19/1.62 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.19/1.62 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.19/1.62 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~(
% 1.19/1.62 'class_Lattices_Olower__semilattice'( Y ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( Y ), hAPP( Z, hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), U ) ) ), hAPP(
% 1.19/1.62 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Y ), hAPP( Z, T ) ),
% 1.19/1.62 hAPP( Z, U ) ) ) ), ~( hBOOL( 'c_Orderings_Oorder__class_Omono'( Z, X, Y
% 1.19/1.62 ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.62 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), T ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ), Z ), hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ) ), U ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.19/1.62 'tc_bool' ) ) ) ],
% 1.19/1.62 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 1.19/1.62 ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.62 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 1.19/1.62 'c_Set_Oimage'( X, Y, Z ), U ) ) ) ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( 't_b' ) ), =( hAPP(
% 1.19/1.62 hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 't_a', 't_b'
% 1.19/1.62 ), 'v_A' ), 'v_f' ), hAPP( 'c_Complete__Lattice_OSup__class_OSup'( 't_b'
% 1.19/1.62 ), hAPP( 'c_Set_Oimage'( 'v_f', 't_a', 't_b' ), 'v_A' ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T )
% 1.19/1.62 ), U ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ), hAPP( U, Z ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), T ), U ) ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ), Y ) ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.19/1.62 hAPP( 'c_lessequals'( X ), Y ), hAPP(
% 1.19/1.62 'c_Complete__Lattice_OSup__class_OSup'( X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.62 hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.19/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.19/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.19/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.19/1.62 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 1.19/1.62 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 1.19/1.62 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 1.19/1.62 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 1.19/1.62 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 1.19/1.62 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 1.19/1.62 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 1.19/1.62 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 1.19/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.19/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 1.19/1.62 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 1.19/1.62 , T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 1.19/1.62 ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.19/1.62 Z ), Y ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.19/1.62 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.19/1.62 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( X, Y ), 'c_Finite__Set_Olinorder_OMax'( Z, T, U ) ),
% 1.19/1.62 'c_Finite__Set_Olinorder_OMax'( Z, hAPP( 'c_Collect'( U ), hAPP( hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_bool', U ), 'c_Ex'( U ) ), hAPP(
% 1.19/1.62 hAPP( 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) )
% 1.19/1.62 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.19/1.62 , 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) ), U ),
% 1.19/1.62 'c_COMBS'( U, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.62 U, 'tc_bool' ), 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), U ),
% 1.19/1.62 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), U ),
% 1.19/1.62 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, U ), 'tc_fun'( U,
% 1.19/1.62 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'(
% 1.19/1.62 'tc_fun'( U, U ), 'tc_fun'( U, 'tc_bool' ) ), U ), 'c_COMBB'( U,
% 1.19/1.62 'tc_bool', U ) ), 'c_fequal'( U ) ) ), hAPP( X, Y ) ) ) ) ), hAPP( hAPP(
% 1.19/1.62 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_bool' ), 'c_in'( U ) ), T ) )
% 1.19/1.62 ) ), U ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool'
% 1.19/1.62 ) ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 1.19/1.62 'c_OrderedGroup_Oordered__ab__semigroup__add'( X, Z, W, U ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( X, Y ), 'c_Finite__Set_Olinorder_OMin'( Z, T, U ) ),
% 1.19/1.62 'c_Finite__Set_Olinorder_OMin'( Z, hAPP( 'c_Collect'( U ), hAPP( hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_bool', U ), 'c_Ex'( U ) ), hAPP(
% 1.19/1.62 hAPP( 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) )
% 1.19/1.62 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.19/1.62 , 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) ), U ),
% 1.19/1.62 'c_COMBS'( U, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.62 U, 'tc_bool' ), 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), U ),
% 1.19/1.62 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), U ),
% 1.19/1.62 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( U, U ), 'tc_fun'( U,
% 1.19/1.62 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'(
% 1.19/1.62 'tc_fun'( U, U ), 'tc_fun'( U, 'tc_bool' ) ), U ), 'c_COMBB'( U,
% 1.19/1.62 'tc_bool', U ) ), 'c_fequal'( U ) ) ), hAPP( X, Y ) ) ) ) ), hAPP( hAPP(
% 1.19/1.62 'c_COMBC'( U, 'tc_fun'( U, 'tc_bool' ), 'tc_bool' ), 'c_in'( U ) ), T ) )
% 1.19/1.62 ) ), U ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool'
% 1.19/1.62 ) ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 1.19/1.62 'c_OrderedGroup_Oordered__ab__semigroup__add'( X, Z, W, U ) ) ],
% 1.19/1.62 [ =( 'c_List_Oset'( X, Y ), hAPP( 'c_Collect'( Y ), hAPP( hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_bool', Y ), 'c_Ex'(
% 1.19/1.62 'tc_nat' ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.19/1.62 'tc_fun'( 'tc_nat', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.62 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.19/1.62 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), Y ), 'c_COMBS'(
% 1.19/1.62 'tc_nat', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.62 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.19/1.62 ) ), Y ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.19/1.62 'tc_nat' ), 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( 'tc_nat', Y
% 1.19/1.62 ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y
% 1.19/1.62 , 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_nat', Y ), 'tc_fun'( 'tc_nat',
% 1.19/1.62 'tc_bool' ) ), Y ), 'c_COMBB'( Y, 'tc_bool', 'tc_nat' ) ), 'c_fequal'( Y
% 1.19/1.62 ) ) ), 'c_List_Onth'( X, Y ) ) ) ) ), hAPP( hAPP( 'c_COMBC'( 'tc_nat',
% 1.19/1.62 'tc_nat', 'tc_bool' ), 'c_HOL_Oord__class_Oless'( 'tc_nat' ) ),
% 1.19/1.62 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ) ) ) ) ) ) ],
% 1.19/1.62 [ =( 'c_Transitive__Closure_Ortranclp'( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ) ), Y ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.19/1.62 'tc_fun'( X, 'tc_bool' ), X ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool', X )
% 1.19/1.62 , 'c_Not' ) ), 'c_fequal'( X ) ) ), X ),
% 1.19/1.62 'c_Transitive__Closure_Ortranclp'( Y, X ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 1.19/1.62 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP(
% 1.19/1.62 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 1.19/1.62 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 1.19/1.62 ), X ), Y ) ],
% 1.19/1.62 [ 'c_Lambda_Obeta'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ),
% 1.19/1.62 hAPP( hAPP( hAPP( 'c_Lambda_Osubst', T ), Y ), Z ) ), ~( 'c_Lambda_Obeta'(
% 1.19/1.62 X, T ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_Olift'( X, Y ) ), Z
% 1.19/1.62 ), Y ), X ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), hAPP( 'c_Collect'( Y ), hAPP(
% 1.19/1.62 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', Y ), 'c_All'( X ) )
% 1.19/1.62 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.19/1.62 ), Y ), hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_implies'
% 1.19/1.62 ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ),
% 1.19/1.62 'c_in'( X ) ), Z ) ) ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( X, 'tc_fun'(
% 1.19/1.62 Y, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'( X,
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_COMBB'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ) ), 'c_in'( Y ) ) ), T ) ) ) ) )
% 1.19/1.62 ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.19/1.62 'c_Complete__Lattice_OInf__class_OInf'( X ), Y ), hAPP(
% 1.19/1.62 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( 'c_Collect'( X ), hAPP(
% 1.19/1.62 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_All'( X ) )
% 1.19/1.62 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.19/1.62 ), X ), hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_implies'
% 1.19/1.62 ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ),
% 1.19/1.62 'c_in'( X ) ), Y ) ) ) ), 'c_lessequals'( X ) ) ) ) ) ) ],
% 1.19/1.62 [ =( 'c_Predicate_OPowp'( X, 'v_B', 't_a' ), hAPP( 'c_All'( 't_a' ),
% 1.19/1.62 hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.19/1.62 'c_implies' ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' )
% 1.19/1.62 , 'tc_bool' ), 'c_in'( 't_a' ) ), 'v_B' ) ) ), X ) ) ) ],
% 1.19/1.62 [ =( 'c_Relation_Otrans'( 'v_r', 't_a' ), hAPP( 'c_All'( 't_a' ), hAPP(
% 1.19/1.62 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ),
% 1.19/1.62 'c_All'( 't_a' ) ), hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_fun'( 't_a',
% 1.19/1.62 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.19/1.62 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'(
% 1.19/1.62 't_a', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.19/1.62 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' )
% 1.19/1.62 , hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.19/1.62 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a'
% 1.19/1.62 , 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' )
% 1.19/1.62 , 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a'
% 1.19/1.62 ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBC'(
% 1.19/1.62 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.19/1.62 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a', 't_a' ) ),
% 1.19/1.62 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool'
% 1.19/1.62 ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ),
% 1.19/1.62 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ),
% 1.19/1.62 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), 'c_Pair'( 't_a', 't_a'
% 1.19/1.62 ) ) ) ), 'v_r' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.62 't_a', 'tc_bool' ) ), 'tc_fun'( 't_a', 'tc_bool' ), 't_a' ), hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'(
% 1.19/1.62 't_a' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.19/1.62 'tc_fun'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBC'(
% 1.19/1.62 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP(
% 1.19/1.62 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.19/1.62 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.19/1.62 't_a' ), 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.62 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.62 'tc_bool', 'tc_bool' ), 't_a' ), 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.19/1.62 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a'
% 1.19/1.62 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.62 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.62 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_fun'( 't_a',
% 1.19/1.62 'tc_bool' ) ), 't_a' ), 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a',
% 1.19/1.62 't_a' ), 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.62 't_a', 'tc_prod'( 't_a', 't_a' ) ), 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'(
% 1.19/1.62 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), 't_a' ), hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.19/1.62 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ), 't_a' ), 'c_in'( 'tc_prod'(
% 1.19/1.62 't_a', 't_a' ) ) ) ), 'c_Pair'( 't_a', 't_a' ) ) ) ), 'v_r' ) ) ) ) ),
% 1.19/1.62 hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_a' ),
% 1.19/1.62 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_fun'( 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool'
% 1.19/1.62 ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ),
% 1.19/1.62 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBC'( 't_a',
% 1.19/1.62 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ) ), hAPP(
% 1.19/1.62 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_prod'( 't_a', 't_a' ) ), 'tc_fun'(
% 1.19/1.62 't_a', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ),
% 1.19/1.62 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_a' ),
% 1.19/1.62 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_a' ), 'tc_bool' ), 'tc_bool' ),
% 1.19/1.62 't_a' ), 'c_in'( 'tc_prod'( 't_a', 't_a' ) ) ) ), 'c_Pair'( 't_a', 't_a'
% 1.19/1.62 ) ) ) ), 'v_r' ) ) ) ) ) ) ) ],
% 1.19/1.62 [ =( 'c_The'( 'c_split'( hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.62 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), X ), 'c_COMBB'( 'tc_bool', 'tc_bool', Y ) ), hAPP( hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ),
% 1.19/1.62 hAPP( 'c_fequal'( X ), Z ) ) ) ), hAPP( 'c_fequal'( Y ), T ) ), X, Y,
% 1.19/1.62 'tc_bool' ), 'tc_prod'( X, Y ) ), hAPP( hAPP( 'c_Pair'( X, Y ), Z ), T )
% 1.19/1.62 ) ],
% 1.19/1.62 [ =( 'c_Hilbert__Choice_OEps'( 'c_split'( hAPP( hAPP( 'c_COMBC'( X,
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ), 'c_COMBB'( 'tc_bool',
% 1.19/1.62 'tc_bool', Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.62 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_fequal'( X ), Z ) ) ) ), hAPP(
% 1.19/1.62 'c_fequal'( Y ), T ) ), X, Y, 'tc_bool' ), 'tc_prod'( X, Y ) ), hAPP(
% 1.19/1.62 hAPP( 'c_Pair'( X, Y ), Z ), T ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBS'( X, 'tc_fun'( Y
% 1.19/1.62 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.19/1.62 , 'tc_bool' ) ), X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ) ), T ) ), U ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X,
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), Z ), U ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.19/1.62 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBS'( X, 'tc_fun'( Y
% 1.19/1.62 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.19/1.62 , 'tc_bool' ) ), X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ) ), T ) ), U ) ), hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X,
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ) ), Z ), U ) ) ) ],
% 1.19/1.62 [ =( 'c_lessequals'( 'tc_bool' ), 'c_implies' ) ],
% 1.19/1.62 [ =( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), hAPP( 'c_Collect'(
% 1.19/1.62 'tc_prod'( Z, U ) ), 'c_split'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U,
% 1.19/1.62 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ), Z ), hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', U ), 'c_Ex'( T ) ) ),
% 1.19/1.62 hAPP( hAPP( 'c_COMBC'( Z, 'tc_fun'( U, 'tc_fun'( T, 'tc_bool' ) ),
% 1.19/1.62 'tc_fun'( U, 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.62 'tc_fun'( U, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( U, 'tc_fun'( T,
% 1.19/1.62 'tc_bool' ) ) ), Z ), 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T,
% 1.19/1.62 'tc_bool' ), U ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_fun'(
% 1.19/1.62 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T
% 1.19/1.62 , 'tc_bool' ) ), Z ), 'c_COMBS'( T, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_fun'( 'tc_bool',
% 1.19/1.62 'tc_bool' ) ), Z ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.62 'tc_bool' ), T ), 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( Z, 'tc_fun'(
% 1.19/1.62 'tc_prod'( Z, T ), 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool'
% 1.19/1.62 ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ),
% 1.19/1.62 'tc_fun'( T, 'tc_bool' ) ), Z ), 'c_COMBC'( T, 'tc_fun'( 'tc_prod'( Z, T
% 1.19/1.62 ), 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T,
% 1.19/1.62 'tc_prod'( Z, T ) ), 'tc_fun'( T, 'tc_fun'( 'tc_fun'( 'tc_prod'( Z, T ),
% 1.19/1.62 'tc_bool' ), 'tc_bool' ) ), Z ), hAPP( 'c_COMBB'( 'tc_prod'( Z, T ),
% 1.19/1.62 'tc_fun'( 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ), 'tc_bool' ), T ),
% 1.19/1.62 'c_in'( 'tc_prod'( Z, T ) ) ) ), 'c_Pair'( Z, T ) ) ) ), X ) ) ) ) ),
% 1.19/1.62 hAPP( hAPP( 'c_COMBC'( U, 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ),
% 1.19/1.62 'tc_fun'( T, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_fun'(
% 1.19/1.62 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.62 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), U )
% 1.19/1.62 , 'c_COMBC'( T, 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ), 'tc_bool' ) ),
% 1.19/1.62 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_prod'( T, U ) ), 'tc_fun'( T,
% 1.19/1.62 'tc_fun'( 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ), 'tc_bool' ) ), U ),
% 1.19/1.62 hAPP( 'c_COMBB'( 'tc_prod'( T, U ), 'tc_fun'( 'tc_fun'( 'tc_prod'( T, U )
% 1.19/1.62 , 'tc_bool' ), 'tc_bool' ), T ), 'c_in'( 'tc_prod'( T, U ) ) ) ), hAPP(
% 1.19/1.62 'c_COMBC'( T, U, 'tc_prod'( T, U ) ), 'c_Pair'( T, U ) ) ) ) ), Y ) ) ),
% 1.19/1.62 Z, U, 'tc_bool' ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Olift'( X, Y ) ) ), ~(
% 1.19/1.62 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 1.19/1.62 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), Y ), Z ) ), ~(
% 1.19/1.62 'c_Lambda_Obeta'( T, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping'
% 1.19/1.62 , X ), T ), Z ) ) ) ],
% 1.19/1.62 [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X
% 1.19/1.62 ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), 'c_Lambda_OdB_OVar'( Y
% 1.19/1.62 ) ), hAPP( X, Y ) ) ) ],
% 1.19/1.62 [ hBOOL( 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ) ), ~(
% 1.19/1.62 hBOOL( 'c_List_Olistsp'( X, Z, T ) ) ), ~( hBOOL( 'c_List_Olistsp'( X, Y
% 1.19/1.62 , T ) ) ) ],
% 1.19/1.62 [ hBOOL( 'c_List_Olistsp'( X, Y, Z ) ), ~( hBOOL( hAPP( X,
% 1.19/1.62 'c_List_Osko__List__Xin__listsp__conv__set__1__1'( X, Y, Z ) ) ) ) ],
% 1.19/1.62 [ hBOOL( 'c_List_Olistsp'( hAPP( hAPP(
% 1.19/1.62 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.62 , Y ), Z ), T, X ) ), ~( hBOOL( 'c_List_Olistsp'( Z, T, X ) ) ), ~( hBOOL(
% 1.19/1.62 'c_List_Olistsp'( Y, T, X ) ) ) ],
% 1.19/1.62 [ hBOOL( 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 1.19/1.62 [ hBOOL( 'c_List_Olistsp'( X, Y, Z ) ), ~( hBOOL( 'c_List_Olistsp'( X,
% 1.19/1.62 'c_List_Oappend'( T, Y, Z ), Z ) ) ) ],
% 1.19/1.62 [ hBOOL( 'c_List_Olistsp'( X, Y, Z ) ), ~( hBOOL( 'c_List_Olistsp'( X,
% 1.19/1.62 'c_List_Oappend'( Y, T, Z ), Z ) ) ) ],
% 1.19/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.62 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ), hAPP( hAPP(
% 1.19/1.62 'c_Finite__Set_Osetsum'( U, X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ), X, U ), hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ) ), hAPP(
% 1.19/1.62 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U )
% 1.19/1.62 , 'c_Collect'( Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ), U ), hAPP( 'c_COMBS'( Y, 'tc_bool', 'tc_bool' )
% 1.19/1.62 , hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y )
% 1.19/1.62 , 'c_and' ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Y, 'tc_bool' ),
% 1.19/1.62 'tc_bool' ), 'c_in'( Y ) ), T ) ) ) ), hAPP( 'c_COMBC'( Y, U, 'tc_bool' )
% 1.19/1.62 , hAPP( hAPP( 'c_COMBB'( U, 'tc_fun'( U, 'tc_bool' ), Y ), 'c_fequal'( U
% 1.19/1.62 ) ), W ) ) ) ) ) ), hAPP( 'c_Set_Oimage'( W, Y, U ), T ) ) ), ~(
% 1.19/1.62 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Set_Oimage'( 'v_f', 't_a', 't_b' ), 'v_A' ), hAPP(
% 1.19/1.62 'c_Collect'( 't_b' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' )
% 1.19/1.62 , 'tc_bool', 't_b' ), 'c_Ex'( 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.62 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ), 't_b' ), hAPP(
% 1.19/1.62 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ), 'c_and' ), hAPP(
% 1.19/1.62 hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.19/1.62 't_a' ) ), 'v_A' ) ) ) ), hAPP( hAPP( 'c_COMBC'( 't_b', 'tc_fun'( 't_a',
% 1.19/1.62 't_b' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.62 't_b', 'tc_bool' ), 'tc_fun'( 'tc_fun'( 't_a', 't_b' ), 'tc_fun'( 't_a',
% 1.19/1.62 'tc_bool' ) ), 't_b' ), 'c_COMBB'( 't_b', 'tc_bool', 't_a' ) ),
% 1.19/1.62 'c_fequal'( 't_b' ) ) ), 'v_f' ) ) ) ) ) ],
% 1.19/1.62 [ =( 'c_Predicate_Obind'( 'v_P', 'v_f', 't_a', 't_b' ),
% 1.19/1.62 'c_Predicate_Opred_OPred'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.19/1.62 'tc_bool' ), 'tc_bool', 't_b' ), 'c_Ex'( 't_a' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ), 't_b' ), hAPP(
% 1.19/1.62 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ), 'c_and' ), hAPP(
% 1.19/1.62 'c_Predicate_Oeval'( 't_a' ), 'v_P' ) ) ) ), hAPP( 'c_COMBC'( 't_a',
% 1.19/1.62 't_b', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_Predicate_Opred'( 't_b' )
% 1.19/1.62 , 'tc_fun'( 't_b', 'tc_bool' ), 't_a' ), 'c_Predicate_Oeval'( 't_b' ) ),
% 1.19/1.62 'v_f' ) ) ) ), 't_b' ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Relation_OImage'( hAPP( 'c_Collect'( 'tc_prod'( X, Y ) ),
% 1.19/1.62 'c_split'( Z, X, Y, 'tc_bool' ) ), X, Y ), T ), hAPP( 'c_Collect'( Y ),
% 1.19/1.62 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', Y ), 'c_Ex'(
% 1.19/1.62 X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ), Y ), hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ),
% 1.19/1.62 hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.19/1.62 X ) ), T ) ) ) ), hAPP( 'c_COMBC'( X, Y, 'tc_bool' ), Z ) ) ) ) ) ],
% 1.19/1.62 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.19/1.62 'c_Complete__Lattice_OSup__class_OSup'( X ), Y ), hAPP(
% 1.19/1.62 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( 'c_Collect'( X ), hAPP(
% 1.19/1.62 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_All'( X ) )
% 1.19/1.62 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.19/1.62 ), X ), hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_implies'
% 1.19/1.62 ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ),
% 1.19/1.62 'c_in'( X ) ), Y ) ) ) ), hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.19/1.62 'c_lessequals'( X ) ) ) ) ) ) ) ],
% 1.19/1.62 [ =( hAPP( hAPP( hAPP( hAPP( 'c_Type_Oshift'( X ), Y ), Z ), T ), U ),
% 1.19/1.62 hAPP( Y, U ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat'
% 1.19/1.62 ), U ), Z ) ) ) ],
% 1.19/1.62 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.19/1.62 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.19/1.62 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ), hAPP( hAPP( 'c_COMBC'(
% 1.19/1.62 Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), 'c_in'( Y ) ), Z ) ) ) ), T ) )
% 1.19/1.62 ), X ), hBOOL( hAPP( hAPP( 'c_in'( Y ),
% 1.19/1.62 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bex__1__1'( Z, T, Y,
% 1.19/1.62 X ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.19/1.62 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', 'v_ea______' ),
% 1.19/1.62 'v_ua______' ), 'v_T____' ) ) ],
% 1.19/1.62 [ =( 'c_Predicate_Osingleton'( 'v_dfault', 'v_A', 't_a' ), 'c_HOL_OIf'(
% 1.19/1.62 hAPP( 'c_Ex'( 't_a' ), hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool'
% 1.19/1.62 ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.19/1.62 't_a' ), 'c_and' ), hAPP( 'c_Predicate_Oeval'( 't_a' ), 'v_A' ) ) ), hAPP(
% 1.19/1.62 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ),
% 1.19/1.62 'c_All'( 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.19/1.62 'tc_fun'( 't_a', 'tc_bool' ), 't_a' ), hAPP( 'c_COMBS'( 't_a', 'tc_bool'
% 1.19/1.62 , 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.62 'tc_bool' ), 't_a' ), 'c_implies' ), hAPP( 'c_Predicate_Oeval'( 't_a' ),
% 1.19/1.62 'v_A' ) ) ) ), hAPP( 'c_COMBC'( 't_a', 't_a', 'tc_bool' ), 'c_fequal'(
% 1.19/1.62 't_a' ) ) ) ) ) ), 'c_The'( hAPP( 'c_Predicate_Oeval'( 't_a' ), 'v_A' ),
% 1.19/1.62 't_a' ), hAPP( 'v_dfault', 'c_Product__Type_OUnity' ), 't_a' ) ) ],
% 1.19/1.62 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.19/1.62 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.62 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.19/1.62 'c_fequal'( X ) ), Y ) ) ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 1.19/1.62 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 1.19/1.62 hBOOL( hAPP( Z, Y ) ) ) ],
% 1.19/1.62 [ 'c_Recdef_Oadm__wf'( X, hAPP( hAPP( 'c_COMBC'( 'tc_fun'( Y, Z ),
% 1.19/1.62 'tc_fun'( Y, Y ), 'tc_fun'( Y, Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y
% 1.19/1.62 , 'tc_fun'( Y, Z ) ), 'tc_fun'( 'tc_fun'( Y, Y ), 'tc_fun'( Y, Z ) ),
% 1.19/1.62 'tc_fun'( Y, Z ) ), 'c_COMBS'( Y, Y, Z ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_fun'( Y, 'tc_fun'( Y, Z ) ), 'tc_fun'( Y, 'tc_fun'( Y, Z ) ),
% 1.19/1.62 'tc_fun'( Y, Z ) ), hAPP( 'c_COMBB'( 'tc_fun'( Y, Z ), 'tc_fun'( Y, Z ),
% 1.19/1.62 Y ), T ) ), hAPP( hAPP( 'c_COMBC'( 'tc_fun'( Y, Z ), 'tc_fun'( 'tc_prod'(
% 1.19/1.62 Y, Y ), 'tc_bool' ), 'tc_fun'( Y, 'tc_fun'( Y, Z ) ) ), 'c_Recdef_Ocut'(
% 1.19/1.62 Y, Z ) ), X ) ) ) ), 'c_COMBI'( Y ) ), Y, Z ) ],
% 1.19/1.62 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.19/1.62 'tc_bool' ), 'tc_bool', X ), 'c_All'( Y ) ), Z ) ), hAPP( hAPP(
% 1.19/1.62 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.19/1.62 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 1.19/1.62 'tc_bool' ), Y ), 'c_Collect'( X ) ), hAPP( 'c_COMBC'( X, Y, 'tc_bool' )
% 1.19/1.62 , Z ) ) ) ) ],
% 1.19/1.62 [ ~( =( hAPP( X, hAPP( Y, 'c_List_Osko__List__Xfoldl__apply__inv__1__1'(
% 1.19/1.62 X, Y, Z, T ) ) ), 'c_List_Osko__List__Xfoldl__apply__inv__1__1'( X, Y, Z
% 1.19/1.62 , T ) ) ), =( 'c_List_Ofoldl'( U, hAPP( X, W ), V0, T, V1 ), hAPP( X,
% 1.19/1.62 'c_List_Ofoldl'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( V1, T ), 'tc_fun'( V1,
% 1.19/1.62 Z ), Z ), hAPP( 'c_COMBB'( T, Z, V1 ), Y ) ), hAPP( hAPP( 'c_COMBB'( T,
% 1.19/1.62 'tc_fun'( V1, T ), Z ), U ), X ) ), W, V0, Z, V1 ) ) ) ],
% 1.19/1.62 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.62 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.19/1.62 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.19/1.62 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.19/1.62 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ), hAPP( hAPP( 'c_COMBC'(
% 1.19/1.62 Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), 'c_in'( Y ) ), Z ) ) ) ), T ) )
% 1.19/1.62 ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP(
% 1.19/1.62 'c_COMBC'( X, Y, 'tc_bool' ), T ),
% 1.19/1.62 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bex__1__1'( Z, T, Y,
% 1.19/1.62 X ) ) ), X ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.19/1.62 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Omap'( Z, T, U, W ), V0, W ),
% 1.19/1.62 'c_List_Ofoldl'( hAPP( hAPP( 'c_COMBC'( V0, 'tc_fun'( U, W ), 'tc_fun'( U
% 1.19/1.62 , V0 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( W, V0 ), 'tc_fun'( 'tc_fun'( U
% 1.19/1.62 , W ), 'tc_fun'( U, V0 ) ), V0 ), 'c_COMBB'( W, V0, U ) ), X ) ), Z ), Y
% 1.19/1.62 , T, V0, U ) ) ],
% 1.19/1.62 [ =( 'c_Relation_Osingle__valued'( 'v_r', 't_a', 't_b' ), hAPP( 'c_All'(
% 1.19/1.62 't_a' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_bool',
% 1.19/1.62 't_a' ), 'c_All'( 't_b' ) ), hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_fun'(
% 1.19/1.63 't_b', 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( 't_b', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.19/1.63 't_b', 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), 't_a' ), 'c_COMBS'(
% 1.19/1.63 't_b', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b',
% 1.19/1.63 'tc_bool' ), 'tc_fun'( 't_b', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' )
% 1.19/1.63 , hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_b' ),
% 1.19/1.63 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 'tc_prod'( 't_a'
% 1.19/1.63 , 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' )
% 1.19/1.63 , 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b'
% 1.19/1.63 ), 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ) ), 't_a' ), 'c_COMBC'(
% 1.19/1.63 't_b', 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ) ),
% 1.19/1.63 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_prod'( 't_a', 't_b' ) ),
% 1.19/1.63 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool'
% 1.19/1.63 ), 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_prod'( 't_a', 't_b' ),
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ),
% 1.19/1.63 't_b' ), 'c_in'( 'tc_prod'( 't_a', 't_b' ) ) ) ), 'c_Pair'( 't_a', 't_b'
% 1.19/1.63 ) ) ) ), 'v_r' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'(
% 1.19/1.63 't_b', 'tc_bool' ) ), 'tc_fun'( 't_b', 'tc_bool' ), 't_a' ), hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_bool', 't_b' ), 'c_All'(
% 1.19/1.63 't_b' ) ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_b', 'tc_fun'(
% 1.19/1.63 't_b', 'tc_bool' ) ), 'tc_fun'( 't_b', 'tc_fun'( 't_b', 'tc_bool' ) ) ),
% 1.19/1.63 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'(
% 1.19/1.63 't_b', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 't_b',
% 1.19/1.63 'tc_bool' ) ), 'tc_fun'( 't_b', 'tc_fun'( 't_b', 'tc_bool' ) ) ), 't_a' )
% 1.19/1.63 , 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'( 't_b', 'tc_bool' ),
% 1.19/1.63 't_b' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_bool',
% 1.19/1.63 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'( 't_b',
% 1.19/1.63 'tc_bool' ) ), 't_a' ), 'c_COMBS'( 't_b', 'tc_bool', 'tc_bool' ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'( 't_b', 'tc_fun'(
% 1.19/1.63 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.63 'tc_bool', 'tc_bool' ), 't_b' ), 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.19/1.63 't_a', 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b'
% 1.19/1.63 , 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'(
% 1.19/1.63 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_fun'( 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_fun'( 't_b',
% 1.19/1.63 'tc_bool' ) ), 't_a' ), 'c_COMBC'( 't_b', 'tc_fun'( 'tc_prod'( 't_a',
% 1.19/1.63 't_b' ), 'tc_bool' ), 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 't_b', 'tc_prod'( 't_a', 't_b' ) ), 'tc_fun'( 't_b', 'tc_fun'( 'tc_fun'(
% 1.19/1.63 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ) ), 't_a' ), hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_prod'( 't_a', 't_b' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.19/1.63 't_a', 't_b' ), 'tc_bool' ), 'tc_bool' ), 't_b' ), 'c_in'( 'tc_prod'(
% 1.19/1.63 't_a', 't_b' ) ) ) ), 'c_Pair'( 't_a', 't_b' ) ) ) ), 'v_r' ) ) ) ) ),
% 1.19/1.63 'c_fequal'( 't_b' ) ) ) ) ) ) ) ],
% 1.19/1.63 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.19/1.63 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.63 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_fequal'( X ), Y ) ) ), Z ) ),
% 1.19/1.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.19/1.63 Z, Y ) ) ],
% 1.19/1.63 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.19/1.63 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.63 'tc_bool', 'tc_bool' ), X ), 'c_and' ), Y ) ), Z ) ), X ), ~(
% 1.19/1.63 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Z ), X ) ) ],
% 1.19/1.63 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'(
% 1.19/1.63 X, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.63 'tc_bool', 'tc_bool' ), X ), 'c_and' ), Y ) ), Z ) ), X ), ~(
% 1.19/1.63 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), Y ), X ) ) ],
% 1.19/1.63 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.19/1.63 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.63 'tc_bool' ), X ), 'c_and' ), Y ) ), Z ) ), hAPP( hAPP(
% 1.19/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.63 , hAPP( 'c_Collect'( X ), Y ) ), hAPP( 'c_Collect'( X ), Z ) ) ) ],
% 1.19/1.63 [ =( hAPP( X, Y ), hAPP( Z, hAPP( 'c_Collect'( T ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T )
% 1.19/1.63 , hAPP( 'c_COMBS'( T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) )
% 1.19/1.63 , Y ) ) ) ), U ) ) ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 1.19/1.63 , Z, U, W, V0, V1, V2, V3, T ) ) ],
% 1.19/1.63 [ =( hAPP( 'c_Collect'( 'tc_prod'( X, Y ) ), 'c_split'( hAPP( hAPP(
% 1.19/1.63 'c_COMBS'( X, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y
% 1.19/1.63 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ), 'c_COMBB'( 'tc_bool',
% 1.19/1.63 'tc_bool', Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.63 'tc_bool' ), X ), 'c_and' ), Z ) ) ), T ), X, Y, 'tc_bool' ) ),
% 1.19/1.63 'c_Product__Type_OSigma'( hAPP( 'c_Collect'( X ), Z ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ),
% 1.19/1.63 'c_Collect'( Y ) ), T ), X, Y ) ) ],
% 1.19/1.63 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.19/1.63 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBS'( Y, 'tc_fun'( Z,
% 1.19/1.63 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, X ), 'tc_fun'(
% 1.19/1.63 'tc_fun'( Z, 'tc_bool' ), X ), Y ), 'c_Finite__Set_Osetsum'( Z, X ) ), T
% 1.19/1.63 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z,
% 1.19/1.63 'tc_bool' ), Y ), 'c_Collect'( Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z
% 1.19/1.63 , 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), Y ), hAPP( 'c_COMBS'( Z,
% 1.19/1.63 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.63 'tc_bool', 'tc_bool' ), Z ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( Z,
% 1.19/1.63 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), 'c_in'( Z ) ), U ) ) ) ), W ) ) )
% 1.19/1.63 ), V0 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP(
% 1.19/1.63 'c_COMBS'( Z, 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( Y, X ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), X ), Z ),
% 1.19/1.63 'c_Finite__Set_Osetsum'( Y, X ) ), hAPP( 'c_COMBC'( Y, Z, X ), T ) ) ),
% 1.19/1.63 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 1.19/1.63 , Z ), 'c_Collect'( Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool'
% 1.19/1.63 ), 'tc_fun'( Y, 'tc_bool' ), Z ), hAPP( 'c_COMBS'( Y, 'tc_bool',
% 1.19/1.63 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.63 'tc_bool' ), Y ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Y,
% 1.19/1.63 'tc_bool' ), 'tc_bool' ), 'c_in'( Y ) ), V0 ) ) ) ), hAPP( 'c_COMBC'( Y,
% 1.19/1.63 Z, 'tc_bool' ), W ) ) ) ) ), U ) ), ~( 'c_Finite__Set_Ofinite'( U, Z ) )
% 1.19/1.63 , ~( 'c_Finite__Set_Ofinite'( V0, Y ) ) ],
% 1.19/1.63 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.19/1.63 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.19/1.63 , X ), Z ), T ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( U, X ), W ), V0 )
% 1.19/1.63 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBC'( Y
% 1.19/1.63 , 'tc_fun'( U, 'tc_bool' ), X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, X )
% 1.19/1.63 , 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), X ), Y ), 'c_Finite__Set_Osetsum'(
% 1.19/1.63 U, X ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( U, X ), 'tc_fun'( U, X ) )
% 1.19/1.63 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'( 'tc_fun'( U, X ),
% 1.19/1.63 'tc_fun'( U, X ) ), Y ), 'c_COMBB'( X, X, U ) ), hAPP( hAPP( 'c_COMBB'( X
% 1.19/1.63 , 'tc_fun'( X, X ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ) ), W
% 1.19/1.63 ) ) ), V0 ) ), T ) ) ],
% 1.19/1.63 [ =( 'c_Predicate_Obind'( X, Y, Z, T ), 'c_Predicate_Opred_OPred'( hAPP(
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_bool', T ), 'c_Ex'( Z ) )
% 1.19/1.63 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool'
% 1.19/1.63 ), T ), hAPP( 'c_COMBS'( Z, 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Z ), 'c_and' ),
% 1.19/1.63 hAPP( 'c_Predicate_Oeval'( Z ), X ) ) ) ), hAPP( 'c_COMBC'( Z, T,
% 1.19/1.63 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_Predicate_Opred'( T ), 'tc_fun'(
% 1.19/1.63 T, 'tc_bool' ), Z ), 'c_Predicate_Oeval'( T ) ), Y ) ) ) ), T ) ) ],
% 1.19/1.63 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'(
% 1.19/1.63 X, Y, 'tc_bool' ), Z ), T ) ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T
% 1.19/1.63 ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) )
% 1.19/1.63 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool'
% 1.19/1.63 ), X ), hAPP( 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ),
% 1.19/1.63 hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), 'c_in'(
% 1.19/1.63 Y ) ), U ) ) ) ), Z ) ) ), X ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ]
% 1.19/1.63 ,
% 1.19/1.63 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.19/1.63 'tc_bool' ), 'tc_bool', X ), 'c_All'( Y ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP( 'c_COMBS'(
% 1.19/1.63 Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.63 'tc_bool', 'tc_bool' ), Y ), 'c_implies' ), hAPP( hAPP( 'c_COMBC'( Y,
% 1.19/1.63 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), 'c_in'( Y ) ), Z ) ) ) ), T ) ) )
% 1.19/1.63 , hAPP( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y,
% 1.19/1.63 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.19/1.63 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ), Y ), 'c_Collect'( X ) ), hAPP(
% 1.19/1.63 'c_COMBC'( X, Y, 'tc_bool' ), T ) ) ) ) ],
% 1.19/1.63 [ =( hAPP( X, Y ), hAPP( Z, hAPP( 'c_Collect'( T ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T )
% 1.19/1.63 , hAPP( 'c_COMBS'( T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) )
% 1.19/1.63 , Y ) ) ) ), hAPP( 'c_COMBC'( T, T, 'tc_bool' ), U ) ) ) ) ) ), ~(
% 1.19/1.63 'c_Complete__Lattice_Ocomplete__lattice'( Z, X, U, W, V0, V1, V2, V3, T )
% 1.19/1.63 ) ],
% 1.19/1.63 [ ~( 'class_HOL_Oord'( 't_a' ) ), =( 'c_Orderings_Oord__class_OLeast'(
% 1.19/1.63 'v_P', 't_a' ), 'c_The'( hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_bool',
% 1.19/1.63 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.63 'tc_bool' ), 't_a' ), 'c_and' ), 'v_P' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'( 't_a' ) ),
% 1.19/1.63 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a',
% 1.19/1.63 'tc_bool' ), 't_a' ), hAPP( 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ),
% 1.19/1.63 hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a'
% 1.19/1.63 ), 'c_implies' ), 'v_P' ) ) ), 'c_lessequals'( 't_a' ) ) ) ), 't_a' ) )
% 1.19/1.63 ],
% 1.19/1.63 [ =( 'c_FunDef_OTHE__default'( 'v_d', 'v_P', 't_a' ), 'c_HOL_OIf'( hAPP(
% 1.19/1.63 'c_Ex'( 't_a' ), hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ),
% 1.19/1.63 hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a'
% 1.19/1.63 ), 'c_and' ), 'v_P' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.19/1.63 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'( 't_a' ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ),
% 1.19/1.63 't_a' ), hAPP( 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.19/1.63 'c_implies' ), 'v_P' ) ) ), hAPP( 'c_COMBC'( 't_a', 't_a', 'tc_bool' ),
% 1.19/1.63 'c_fequal'( 't_a' ) ) ) ) ) ), 'c_The'( 'v_P', 't_a' ), 'v_d', 't_a' ) )
% 1.19/1.63 ],
% 1.19/1.63 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', hAPP( hAPP( hAPP(
% 1.19/1.63 'c_Type_Oshift'( 'tc_Type_Otype' ), 'v_e____' ), 'v_i____' ), 'v_T____' )
% 1.19/1.63 ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'v_n____'
% 1.19/1.63 ), 'v_rs____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'v_T_H____' ) ) ]
% 1.19/1.63 ,
% 1.19/1.63 [ =( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.19/1.63 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.63 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.19/1.63 'c_fequal'( X ) ), Y ) ) ), Z ) ), 'c_Orderings_Obot__class_Obot'(
% 1.19/1.63 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP( Z, Y ) ) ],
% 1.19/1.63 [ =( 'c_Record_Oiso__tuple__update__accessor__cong__assist'( 'v_upd',
% 1.19/1.63 'v_acc', 't_a', 't_b' ), hAPP( hAPP( 'c_and', hAPP( 'c_All'( 'tc_fun'(
% 1.19/1.63 't_a', 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ),
% 1.19/1.63 'tc_bool', 'tc_fun'( 't_a', 't_a' ) ), 'c_All'( 't_b' ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBS'( 'tc_fun'( 't_a', 't_a' ), 'tc_fun'( 't_b', 't_b' ), 'tc_fun'(
% 1.19/1.63 't_b', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_fun'(
% 1.19/1.63 't_b', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_b', 't_b' ), 'tc_fun'( 't_b'
% 1.19/1.63 , 'tc_bool' ) ), 'tc_fun'( 't_a', 't_a' ) ), 'c_COMBS'( 't_b', 't_b',
% 1.19/1.63 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 't_b' ), 'tc_fun'(
% 1.19/1.63 't_b', 'tc_fun'( 't_b', 'tc_bool' ) ), 'tc_fun'( 't_a', 't_a' ) ), hAPP(
% 1.19/1.63 'c_COMBB'( 't_b', 'tc_fun'( 't_b', 'tc_bool' ), 't_b' ), 'c_fequal'(
% 1.19/1.63 't_b' ) ) ), hAPP( hAPP( 'c_COMBC'( 'tc_fun'( 't_a', 't_a' ), 'tc_fun'(
% 1.19/1.63 't_b', 't_b' ), 'tc_fun'( 't_b', 't_b' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( 't_b', 'tc_fun'( 't_b', 't_b' ) ), 'tc_fun'( 'tc_fun'( 't_b',
% 1.19/1.63 't_b' ), 'tc_fun'( 't_b', 't_b' ) ), 'tc_fun'( 't_a', 't_a' ) ),
% 1.19/1.63 'c_COMBS'( 't_b', 't_b', 't_b' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 't_b', 'tc_fun'( 't_a', 't_a' ) ), 'tc_fun'( 't_b', 'tc_fun'( 't_b',
% 1.19/1.63 't_b' ) ), 'tc_fun'( 't_a', 't_a' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.19/1.63 't_a' ), 'tc_fun'( 't_b', 't_b' ), 't_b' ), 'v_upd' ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( 't_b', 't_a' ), 'tc_fun'( 't_b', 'tc_fun'( 't_a',
% 1.19/1.63 't_a' ) ), 'tc_fun'( 't_a', 't_a' ) ), hAPP( 'c_COMBB'( 't_a', 'tc_fun'(
% 1.19/1.63 't_a', 't_a' ), 't_b' ), 'c_COMBK'( 't_a', 't_a' ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBC'( 'tc_fun'( 't_a', 't_a' ), 'tc_fun'( 't_b', 't_a' ), 'tc_fun'(
% 1.19/1.63 't_b', 't_a' ) ), 'c_COMBB'( 't_a', 't_a', 't_b' ) ), 'v_acc' ) ) ) ) ),
% 1.19/1.63 'c_COMBI'( 't_b' ) ) ) ) ), 'v_upd' ) ) ) ), hAPP( 'c_All'( 't_b' ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBS'( 't_b', 't_b', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 't_b'
% 1.19/1.63 , 'tc_fun'( 't_b', 'tc_bool' ), 't_b' ), 'c_fequal'( 't_b' ) ), hAPP(
% 1.19/1.63 'v_upd', 'c_Fun_Oid'( 't_a' ) ) ) ), 'c_COMBI'( 't_b' ) ) ) ) ) ],
% 1.19/1.63 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.19/1.63 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.19/1.63 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ), Z ) ) ), T ) ) ), X ),
% 1.19/1.63 hBOOL( hAPP( Z,
% 1.19/1.63 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1'( Z
% 1.19/1.63 , T, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( Y ), Z )
% 1.19/1.63 , Y ) ) ],
% 1.19/1.63 [ ~( =( 'v_n____', 'v_i____' ) ) ],
% 1.19/1.63 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 1.19/1.63 , X ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ), ~( hBOOL( hAPP(
% 1.19/1.63 'c_InductTermi_OIT', X ) ) ) ],
% 1.19/1.63 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBC'( X, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.19/1.63 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.19/1.63 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), X ),
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ),
% 1.19/1.63 'c_and' ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y, X ), 'tc_fun'( Y,
% 1.19/1.63 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'(
% 1.19/1.63 'tc_fun'( Y, X ), 'tc_fun'( Y, 'tc_bool' ) ), X ), 'c_COMBB'( X,
% 1.19/1.63 'tc_bool', Y ) ), 'c_fequal'( X ) ) ), Z ) ) ) ), T ) ) ), X ), ~(
% 1.19/1.63 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( Y ), T ), Y ) ) ],
% 1.19/1.63 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.19/1.63 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.19/1.63 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ), Z ) ) ), T ) ) ), X ),
% 1.19/1.63 ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'(
% 1.19/1.63 X, Y, 'tc_bool' ), T ),
% 1.19/1.63 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1'( Z
% 1.19/1.63 , T, Y, X ) ) ), X ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( Y
% 1.19/1.63 ), Z ), Y ) ) ],
% 1.19/1.63 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.19/1.63 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.19/1.63 , X ), Z ), T ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( U, X ), W ), V0 )
% 1.19/1.63 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( X, X ), 'c_Fun_Oid'( X ) ), hAPP(
% 1.19/1.63 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ),
% 1.19/1.63 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.19/1.63 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_bool', Y ), 'c_Ex'( U ) ) ),
% 1.19/1.63 hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( Y, 'tc_fun'( U, 'tc_bool' ) ),
% 1.19/1.63 'tc_fun'( Y, 'tc_fun'( U, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( Y, 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' )
% 1.19/1.63 ) ), 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.19/1.63 'tc_fun'( U, 'tc_bool' ) ) ), X ), 'c_COMBS'( Y, 'tc_fun'( U, 'tc_bool' )
% 1.19/1.63 , 'tc_fun'( U, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.19/1.63 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_fun'(
% 1.19/1.63 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) ) ), X ), hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) ), Y ), 'c_COMBS'( U,
% 1.19/1.63 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_fun'(
% 1.19/1.63 U, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_fun'( U, 'tc_fun'( 'tc_bool',
% 1.19/1.63 'tc_bool' ) ) ), X ), hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_bool' ), 'tc_fun'(
% 1.19/1.63 U, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), Y ), hAPP( 'c_COMBB'( 'tc_bool',
% 1.19/1.63 'tc_fun'( 'tc_bool', 'tc_bool' ), U ), 'c_and' ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBC'( X, 'tc_fun'( Y, 'tc_fun'( U, X ) ), 'tc_fun'( Y, 'tc_fun'( U,
% 1.19/1.63 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( U, X ),
% 1.19/1.63 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( U, X ) ),
% 1.19/1.63 'tc_fun'( Y, 'tc_fun'( U, 'tc_bool' ) ) ), X ), 'c_COMBB'( 'tc_fun'( U, X
% 1.19/1.63 ), 'tc_fun'( U, 'tc_bool' ), Y ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.19/1.63 'tc_bool' ), 'tc_fun'( 'tc_fun'( U, X ), 'tc_fun'( U, 'tc_bool' ) ), X )
% 1.19/1.63 , 'c_COMBB'( X, 'tc_bool', U ) ), 'c_fequal'( X ) ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBC'( Y, 'tc_fun'( U, X ), 'tc_fun'( U, X ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( X, X ), 'tc_fun'( 'tc_fun'( U, X ), 'tc_fun'( U, X ) ), Y ),
% 1.19/1.63 'c_COMBB'( X, X, U ) ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.19/1.63 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ) ), W ) ) ) ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBC'( Y, 'tc_fun'( U, 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( U
% 1.19/1.63 , 'tc_bool' ), 'tc_fun'( U, 'tc_bool' ) ), Y ), 'c_COMBB'( 'tc_bool',
% 1.19/1.63 'tc_bool', U ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.63 'tc_bool' ), Y ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( Y,
% 1.19/1.63 'tc_bool' ), 'tc_bool' ), 'c_in'( Y ) ), T ) ) ) ), hAPP( hAPP( 'c_COMBC'(
% 1.19/1.63 U, 'tc_fun'( U, 'tc_bool' ), 'tc_bool' ), 'c_in'( U ) ), V0 ) ) ) ) ) ) )
% 1.19/1.63 ), ~( 'c_Fun_Oinj__on'( 'c_split'( hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( U
% 1.19/1.63 , X ), 'tc_fun'( U, X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, X ),
% 1.19/1.63 'tc_fun'( 'tc_fun'( U, X ), 'tc_fun'( U, X ) ), Y ), 'c_COMBB'( X, X, U )
% 1.19/1.63 ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.19/1.63 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ) ), W ), Y, U, X ),
% 1.19/1.63 'c_Product__Type_OSigma'( T, hAPP( 'c_COMBK'( 'tc_fun'( U, 'tc_bool' ), Y
% 1.19/1.63 ), V0 ), Y, U ), 'tc_prod'( Y, U ), X ) ) ],
% 1.19/1.63 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', hAPP( hAPP( hAPP(
% 1.19/1.63 'c_Type_Oshift'( 'tc_Type_Otype' ), X ), Y ), Z ) ), 'c_Lambda_Olift'( T
% 1.19/1.63 , Y ) ), U ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), T ), U
% 1.19/1.63 ) ) ) ],
% 1.19/1.63 [ =( 'c_Orderings_Oord_OLeast'( X, 'v_P', 't_a' ), 'c_The'( hAPP( hAPP(
% 1.19/1.63 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ), 'c_and' ), 'v_P' )
% 1.19/1.63 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a'
% 1.19/1.63 ), 'c_All'( 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool'
% 1.19/1.63 ), 'tc_fun'( 't_a', 'tc_bool' ), 't_a' ), hAPP( 'c_COMBS'( 't_a',
% 1.19/1.63 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.63 'tc_bool', 'tc_bool' ), 't_a' ), 'c_implies' ), 'v_P' ) ) ), X ) ) ),
% 1.19/1.63 't_a' ) ) ],
% 1.19/1.63 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( 'c_Collect'( X ), Z )
% 1.19/1.63 ), hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBS'( X, 'tc_bool',
% 1.19/1.63 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.63 'tc_bool' ), X ), 'c_implies' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.19/1.63 'tc_bool', X ), 'c_Not' ), hAPP( hAPP( 'c_COMBC'( X, X, 'tc_bool' ),
% 1.19/1.63 'c_fequal'( X ) ), Y ) ) ) ), Z ) ) ) ],
% 1.19/1.63 [ ~( 'class_HOL_Oord'( X ) ), =( 'c_Hilbert__Choice_OLeastM'( Y, Z, T, X
% 1.19/1.63 ), 'c_Hilbert__Choice_OEps'( hAPP( hAPP( 'c_COMBS'( T, 'tc_bool',
% 1.19/1.63 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.63 'tc_bool' ), T ), 'c_and' ), Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T,
% 1.19/1.63 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T ), hAPP( 'c_COMBS'(
% 1.19/1.63 T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.63 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), Z ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBC'( T, 'tc_fun'( T, X ), 'tc_fun'( T, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( T, X ), 'tc_fun'(
% 1.19/1.63 T, 'tc_bool' ) ), T ), 'c_COMBB'( X, 'tc_bool', T ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( X, 'tc_fun'( X, 'tc_bool' ), T ), 'c_lessequals'( X ) ), Y ) )
% 1.19/1.63 ), Y ) ) ) ), T ) ) ],
% 1.19/1.63 [ =( hAPP( hAPP( X, 'c_Finite__Set_Olattice_OSup__fin'( Y, Z, T ) ),
% 1.19/1.63 'c_Finite__Set_Olattice_OSup__fin'( Y, U, T ) ),
% 1.19/1.63 'c_Finite__Set_Olattice_OSup__fin'( Y, hAPP( 'c_Collect'( T ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T ), 'c_Ex'( T ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T,
% 1.19/1.63 'tc_bool' ), T ), hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T
% 1.19/1.63 ), 'c_Ex'( T ) ) ), hAPP( hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_fun'( T,
% 1.19/1.63 'tc_bool' ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T,
% 1.19/1.63 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ),
% 1.19/1.63 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), T ), 'c_COMBS'( T, 'tc_fun'( T
% 1.19/1.63 , 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( T, 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.63 T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ) ), T )
% 1.19/1.63 , hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.19/1.63 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), T ),
% 1.19/1.63 'c_COMBS'( T, 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 T, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_fun'(
% 1.19/1.63 'tc_bool', 'tc_bool' ) ) ), T ), hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool'
% 1.19/1.63 ), 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), T ), hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ) ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_fun'( T, T ) ), 'tc_fun'( T,
% 1.19/1.63 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'(
% 1.19/1.63 T, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( T, T
% 1.19/1.63 ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), T ), 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 T, T ), 'tc_fun'( T, 'tc_bool' ), T ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 T, 'tc_bool' ), 'tc_fun'( 'tc_fun'( T, T ), 'tc_fun'( T, 'tc_bool' ) ), T
% 1.19/1.63 ), 'c_COMBB'( T, 'tc_bool', T ) ), 'c_fequal'( T ) ) ) ), X ) ) ) ) ),
% 1.19/1.63 hAPP( hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T,
% 1.19/1.63 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.19/1.63 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), T ),
% 1.19/1.63 'c_COMBB'( 'tc_bool', 'tc_bool', T ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool'
% 1.19/1.63 , 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ), hAPP( hAPP( 'c_COMBC'(
% 1.19/1.63 T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) ), Z ) ) ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) )
% 1.19/1.63 , U ) ) ) ) ) ), T ) ), =( U, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T
% 1.19/1.63 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ), =( Z,
% 1.19/1.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 1.19/1.63 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Lattices_Odistrib__lattice'( W,
% 1.19/1.63 V0, X, Y, T ) ) ],
% 1.19/1.63 [ =( hAPP( hAPP( X, 'c_Finite__Set_Olattice_OInf__fin'( Y, Z, T ) ),
% 1.19/1.63 'c_Finite__Set_Olattice_OInf__fin'( Y, U, T ) ),
% 1.19/1.63 'c_Finite__Set_Olattice_OInf__fin'( Y, hAPP( 'c_Collect'( T ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T ), 'c_Ex'( T ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T,
% 1.19/1.63 'tc_bool' ), T ), hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool', T
% 1.19/1.63 ), 'c_Ex'( T ) ) ), hAPP( hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_fun'( T,
% 1.19/1.63 'tc_bool' ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T,
% 1.19/1.63 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ),
% 1.19/1.63 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), T ), 'c_COMBS'( T, 'tc_fun'( T
% 1.19/1.63 , 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( T, 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.63 T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ) ), T )
% 1.19/1.63 , hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.19/1.63 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), T ),
% 1.19/1.63 'c_COMBS'( T, 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 T, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_fun'(
% 1.19/1.63 'tc_bool', 'tc_bool' ) ) ), T ), hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool'
% 1.19/1.63 ), 'tc_fun'( T, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), T ), hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ) ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_fun'( T, T ) ), 'tc_fun'( T,
% 1.19/1.63 'tc_fun'( T, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'(
% 1.19/1.63 T, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( T, 'tc_fun'( T, T
% 1.19/1.63 ) ), 'tc_fun'( T, 'tc_fun'( T, 'tc_bool' ) ) ), T ), 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 T, T ), 'tc_fun'( T, 'tc_bool' ), T ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 T, 'tc_bool' ), 'tc_fun'( 'tc_fun'( T, T ), 'tc_fun'( T, 'tc_bool' ) ), T
% 1.19/1.63 ), 'c_COMBB'( T, 'tc_bool', T ) ), 'c_fequal'( T ) ) ) ), X ) ) ) ) ),
% 1.19/1.63 hAPP( hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T,
% 1.19/1.63 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.19/1.63 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), T ),
% 1.19/1.63 'c_COMBB'( 'tc_bool', 'tc_bool', T ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool'
% 1.19/1.63 , 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ), hAPP( hAPP( 'c_COMBC'(
% 1.19/1.63 T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) ), Z ) ) ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBC'( T, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), 'c_in'( T ) )
% 1.19/1.63 , U ) ) ) ) ) ), T ) ), =( U, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T
% 1.19/1.63 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ), =( Z,
% 1.19/1.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 1.19/1.63 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Lattices_Odistrib__lattice'( W,
% 1.19/1.63 V0, Y, X, T ) ) ],
% 1.19/1.63 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.63 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.19/1.63 'c_Finite__Set_Olattice__class_OInf__fin'( Y, X ) ),
% 1.19/1.63 'c_Finite__Set_Olattice__class_OInf__fin'( Z, X ) ),
% 1.19/1.63 'c_Finite__Set_Olattice__class_OInf__fin'( hAPP( 'c_Collect'( X ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) )
% 1.19/1.63 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ),
% 1.19/1.63 'tc_fun'( X, 'tc_bool' ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' )
% 1.19/1.63 , 'tc_bool', X ), 'c_Ex'( X ) ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X
% 1.19/1.63 , 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.19/1.63 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_fun'( X, 'tc_bool' ),
% 1.19/1.63 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( X, 'tc_fun'( X,
% 1.19/1.63 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ), X ), 'c_COMBS'(
% 1.19/1.63 X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.19/1.63 , 'tc_fun'( X, 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.19/1.63 ) ) ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.19/1.63 ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X )
% 1.19/1.63 , 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X,
% 1.19/1.63 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.19/1.63 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), X ), hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ) )
% 1.19/1.63 ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_fun'( X, X ) ), 'tc_fun'(
% 1.19/1.63 X, 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X,
% 1.19/1.63 'tc_fun'( X, X ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ), X ),
% 1.19/1.63 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ), X ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'(
% 1.19/1.63 X, 'tc_bool' ) ), X ), 'c_COMBB'( X, 'tc_bool', X ) ), 'c_fequal'( X ) )
% 1.19/1.63 ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X ) ) ) ) ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.63 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'(
% 1.19/1.63 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'(
% 1.19/1.63 'tc_bool', 'tc_bool', X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.63 'tc_bool', 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X,
% 1.19/1.63 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ) ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) )
% 1.19/1.63 , Z ) ) ) ) ) ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.19/1.63 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y,
% 1.19/1.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.19/1.63 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.19/1.63 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.19/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.19/1.63 'c_Finite__Set_Olattice__class_OSup__fin'( Y, X ) ),
% 1.19/1.63 'c_Finite__Set_Olattice__class_OSup__fin'( Z, X ) ),
% 1.19/1.63 'c_Finite__Set_Olattice__class_OSup__fin'( hAPP( 'c_Collect'( X ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( X ) )
% 1.19/1.63 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ),
% 1.19/1.63 'tc_fun'( X, 'tc_bool' ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' )
% 1.19/1.63 , 'tc_bool', X ), 'c_Ex'( X ) ) ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X
% 1.19/1.63 , 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.19/1.63 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_fun'( X, 'tc_bool' ),
% 1.19/1.63 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( X, 'tc_fun'( X,
% 1.19/1.63 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ), X ), 'c_COMBS'(
% 1.19/1.63 X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.19/1.63 , 'tc_fun'( X, 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.19/1.63 ) ) ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.19/1.63 ) ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X )
% 1.19/1.63 , 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_fun'( X,
% 1.19/1.63 'tc_fun'( 'tc_bool', 'tc_bool' ) ) ), X ), hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.19/1.63 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), X ), hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ) )
% 1.19/1.63 ), hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_fun'( X, X ) ), 'tc_fun'(
% 1.19/1.63 X, 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( X,
% 1.19/1.63 'tc_fun'( X, X ) ), 'tc_fun'( X, 'tc_fun'( X, 'tc_bool' ) ) ), X ),
% 1.19/1.63 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'( X, 'tc_bool' ), X ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'(
% 1.19/1.63 X, 'tc_bool' ) ), X ), 'c_COMBB'( X, 'tc_bool', X ) ), 'c_fequal'( X ) )
% 1.19/1.63 ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X ) ) ) ) ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.63 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'(
% 1.19/1.63 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_COMBB'(
% 1.19/1.63 'tc_bool', 'tc_bool', X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.63 'tc_bool', 'tc_bool' ), X ), 'c_and' ), hAPP( hAPP( 'c_COMBC'( X,
% 1.19/1.63 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) ), Y ) ) ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBC'( X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), 'c_in'( X ) )
% 1.19/1.63 , Z ) ) ) ) ) ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.19/1.63 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y,
% 1.19/1.63 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.19/1.63 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.19/1.63 [ ~( 'class_Orderings_Oorder'( 't_a' ) ), ~( 'class_Orderings_Oorder'(
% 1.19/1.63 't_b' ) ), =( 'c_Orderings_Oorder__class_Omono'( 'v_f', 't_a', 't_b' ),
% 1.19/1.63 hAPP( 'c_All'( 't_a' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool'
% 1.19/1.63 ), 'tc_bool', 't_a' ), 'c_All'( 't_a' ) ), hAPP( hAPP( 'c_COMBS'( 't_a'
% 1.19/1.63 , 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.19/1.63 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.19/1.63 't_a' ), 'c_COMBS'( 't_a', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.63 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.63 'tc_bool', 'tc_bool' ), 't_a' ), 'c_implies' ) ), 'c_lessequals'( 't_a' )
% 1.19/1.63 ) ) ), hAPP( hAPP( 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 't_b' ), 'tc_fun'(
% 1.19/1.63 't_a', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' )
% 1.19/1.63 , 'tc_fun'( 'tc_fun'( 't_a', 't_b' ), 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.19/1.63 't_a' ), 'c_COMBB'( 't_b', 'tc_bool', 't_a' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 't_b', 'tc_fun'( 't_b', 'tc_bool' ), 't_a' ), 'c_lessequals'( 't_b' ) ),
% 1.19/1.63 'v_f' ) ) ), 'v_f' ) ) ) ) ) ],
% 1.19/1.63 [ ~( 'class_Orderings_Oorder'( 't_a' ) ), ~( 'class_Orderings_Oorder'(
% 1.19/1.63 't_b' ) ), =( 'c_Orderings_Oorder__class_Ostrict__mono'( 'v_f', 't_a',
% 1.19/1.63 't_b' ), hAPP( 'c_All'( 't_a' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 1.19/1.63 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'( 't_a' ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBS'( 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a',
% 1.19/1.63 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_fun'(
% 1.19/1.63 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.19/1.63 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ), 'c_COMBS'( 't_a', 'tc_bool',
% 1.19/1.63 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.19/1.63 'tc_fun'( 't_a', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ),
% 1.19/1.63 'c_implies' ) ), 'c_HOL_Oord__class_Oless'( 't_a' ) ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBC'( 't_a', 'tc_fun'( 't_a', 't_b' ), 'tc_fun'( 't_a', 'tc_bool' )
% 1.19/1.63 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_b', 'tc_bool' ), 'tc_fun'(
% 1.19/1.63 'tc_fun'( 't_a', 't_b' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ),
% 1.19/1.63 'c_COMBB'( 't_b', 'tc_bool', 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 't_b',
% 1.19/1.63 'tc_fun'( 't_b', 'tc_bool' ), 't_a' ), 'c_HOL_Oord__class_Oless'( 't_b' )
% 1.19/1.63 ), 'v_f' ) ) ), 'v_f' ) ) ) ) ) ],
% 1.19/1.63 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.19/1.63 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.63 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( X,
% 1.19/1.63 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.63 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, 'tc_fun'( X,
% 1.19/1.63 'tc_bool' ) ), W ), V0 ) ), hAPP( hAPP(
% 1.19/1.63 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'tc_fun'( X,
% 1.19/1.63 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( X,
% 1.19/1.63 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ), Y ), hAPP(
% 1.19/1.63 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, 'tc_fun'( X,
% 1.19/1.63 'tc_bool' ) ), W ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( U, 'tc_fun'( X
% 1.19/1.63 , 'tc_bool' ) ), 'tc_fun'( U, 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.63 , 'tc_fun'( 'tc_fun'( U, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( U,
% 1.19/1.63 'tc_fun'( X, 'tc_bool' ) ) ), Y ), 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.19/1.63 'tc_fun'( X, 'tc_bool' ), U ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.19/1.63 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' )
% 1.19/1.63 ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.19/1.63 'tc_bool' ) ) ), T ) ) ), V0 ) ) ) ) ],
% 1.19/1.63 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.19/1.63 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.19/1.63 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.19/1.63 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 1.19/1.63 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, 'tc_fun'( X,
% 1.19/1.63 'tc_bool' ) ), W ), V0 ) ), hAPP( hAPP(
% 1.19/1.63 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'tc_fun'( X,
% 1.19/1.63 'tc_bool' ) ), Z ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( U, 'tc_fun'( X,
% 1.19/1.63 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ), Y ), hAPP(
% 1.19/1.63 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, 'tc_fun'( X,
% 1.19/1.63 'tc_bool' ) ), W ) ), hAPP( hAPP( 'c_COMBC'( Y, 'tc_fun'( U, 'tc_fun'( X
% 1.19/1.63 , 'tc_bool' ) ), 'tc_fun'( U, 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) )
% 1.19/1.63 , 'tc_fun'( 'tc_fun'( U, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( U,
% 1.19/1.63 'tc_fun'( X, 'tc_bool' ) ) ), Y ), 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ),
% 1.19/1.63 'tc_fun'( X, 'tc_bool' ), U ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X,
% 1.19/1.63 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' )
% 1.19/1.63 ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.19/1.63 'tc_bool' ) ) ), T ) ) ), V0 ) ) ) ) ],
% 1.19/1.63 [ =( 'c_List_Ofilter'( X, 'c_List_Ofilter'( Y, Z, T ), T ),
% 1.19/1.63 'c_List_Ofilter'( hAPP( hAPP( 'c_COMBS'( T, 'tc_bool', 'tc_bool' ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ),
% 1.19/1.63 'c_and' ), Y ) ), X ), Z, T ) ) ],
% 1.19/1.63 [ ~( 'class_HOL_Oord'( X ) ), =( 'c_Hilbert__Choice_OGreatestM'( Y, Z, T
% 1.19/1.63 , X ), 'c_Hilbert__Choice_OEps'( hAPP( hAPP( 'c_COMBS'( T, 'tc_bool',
% 1.19/1.63 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.63 'tc_bool' ), T ), 'c_and' ), Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T,
% 1.19/1.63 'tc_bool' ), 'tc_bool', T ), 'c_All'( T ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T ), hAPP( 'c_COMBS'(
% 1.19/1.63 T, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.63 'tc_bool', 'tc_bool' ), T ), 'c_implies' ), Z ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( X, 'tc_fun'( T, 'tc_bool' ), T ), hAPP( 'c_COMBC'( T, X,
% 1.19/1.63 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, 'tc_bool' ), T ),
% 1.19/1.63 'c_lessequals'( X ) ), Y ) ) ), Y ) ) ) ), T ) ) ],
% 1.19/1.63 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.19/1.63 'c_Orderings_Oorder_Ostrict__mono'( Y, Z, X ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( Z, 'tc_bool' ), 'tc_bool', 'tc_fun'( Z, X ) ), 'c_All'( Z ) ),
% 1.19/1.63 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 Z, 'tc_bool' ), 'tc_fun'( Z, X ) ), hAPP( 'c_COMBB'( 'tc_fun'( Z,
% 1.19/1.63 'tc_bool' ), 'tc_bool', Z ), 'c_All'( Z ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_fun'( Z,
% 1.19/1.63 'tc_bool' ) ), 'tc_fun'( Z, X ) ), hAPP( 'c_COMBS'( Z, 'tc_fun'( Z,
% 1.19/1.63 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 Z, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( Z, 'tc_bool' )
% 1.19/1.63 , 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_COMBS'( Z, 'tc_bool', 'tc_bool' ) )
% 1.19/1.63 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_fun'(
% 1.19/1.63 'tc_bool', 'tc_bool' ) ), Z ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.63 'tc_bool', 'tc_bool' ), Z ), 'c_implies' ) ), Y ) ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBS'( 'tc_fun'( Z, X ), 'tc_fun'( Z, X ), 'tc_fun'( Z, 'tc_fun'( Z,
% 1.19/1.63 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( 'tc_fun'(
% 1.19/1.63 Z, X ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( Z, X ),
% 1.19/1.63 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z, X ) ), 'c_COMBC'(
% 1.19/1.63 Z, 'tc_fun'( Z, X ), 'tc_fun'( Z, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( Z, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_fun'( 'tc_fun'(
% 1.19/1.63 Z, X ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z, X ) ), hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Z, X ), 'tc_fun'( Z,
% 1.19/1.63 'tc_bool' ) ), Z ), 'c_COMBB'( X, 'tc_bool', Z ) ) ), hAPP( 'c_COMBB'( X
% 1.19/1.63 , 'tc_fun'( X, 'tc_bool' ), Z ), 'c_HOL_Oord__class_Oless'( X ) ) ) ) ),
% 1.19/1.63 'c_COMBI'( 'tc_fun'( Z, X ) ) ) ) ) ) ), ~( 'c_Orderings_Oorder'( T, Y, Z
% 1.19/1.63 ) ) ],
% 1.19/1.63 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Oorder_Omono'( Y,
% 1.19/1.63 Z, X ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_bool',
% 1.19/1.63 'tc_fun'( Z, X ) ), 'c_All'( Z ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z,
% 1.19/1.63 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, X ) )
% 1.19/1.63 , hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_bool' ), 'tc_bool', Z ), 'c_All'( Z )
% 1.19/1.63 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.19/1.63 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, X ) ), hAPP(
% 1.19/1.63 'c_COMBS'( Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.19/1.63 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 1.19/1.63 'c_COMBS'( Z, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), Z ),
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Z ),
% 1.19/1.63 'c_implies' ) ), Y ) ) ) ), hAPP( hAPP( 'c_COMBS'( 'tc_fun'( Z, X ),
% 1.19/1.63 'tc_fun'( Z, X ), 'tc_fun'( Z, 'tc_fun'( Z, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( Z, 'tc_fun'( 'tc_fun'( Z, X ), 'tc_fun'( Z,
% 1.19/1.63 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( Z, X ), 'tc_fun'( Z, 'tc_fun'( Z,
% 1.19/1.63 'tc_bool' ) ) ), 'tc_fun'( Z, X ) ), 'c_COMBC'( Z, 'tc_fun'( Z, X ),
% 1.19/1.63 'tc_fun'( Z, 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Z,
% 1.19/1.63 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_fun'( 'tc_fun'( Z, X ),
% 1.19/1.63 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z, X ) ), hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Z, X ), 'tc_fun'( Z,
% 1.19/1.63 'tc_bool' ) ), Z ), 'c_COMBB'( X, 'tc_bool', Z ) ) ), hAPP( 'c_COMBB'( X
% 1.19/1.63 , 'tc_fun'( X, 'tc_bool' ), Z ), 'c_lessequals'( X ) ) ) ) ), 'c_COMBI'(
% 1.19/1.63 'tc_fun'( Z, X ) ) ) ) ) ) ), ~( 'c_Orderings_Oorder'( Y, T, Z ) ) ],
% 1.19/1.63 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBC'(
% 1.19/1.63 X, Y, 'tc_bool' ), Z ), T ) ), X ), ~( hBOOL( hAPP( U, T ) ) ), ~(
% 1.19/1.63 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( X ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( Y, 'tc_bool' ), 'tc_bool', X ), 'c_Ex'( Y ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 1.19/1.63 'c_COMBS'( Y, 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.19/1.63 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_and' ), U ) ) ), Z ) ) ), X ) )
% 1.19/1.63 , ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Collect'( Y ), U ), Y ) ) ],
% 1.19/1.63 [ 'c_Lattices_Oboolean__algebra'( hAPP( hAPP( 'c_COMBC'( X, 'tc_fun'( X
% 1.19/1.63 , X ), 'tc_fun'( X, X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, X ),
% 1.19/1.63 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'( X, X ) ), X ), 'c_COMBB'( X, X, X )
% 1.19/1.63 ), Y ) ), Z ), Z, hAPP( 'c_COMBC'( X, X, 'tc_bool' ), T ), hAPP(
% 1.19/1.63 'c_COMBC'( X, X, 'tc_bool' ), U ), Y, W, V0, V1, X ), ~(
% 1.19/1.63 'c_Lattices_Oboolean__algebra'( V2, Z, T, U, W, Y, V1, V0, X ) ) ],
% 1.19/1.63 [ =( 'c_List_Olistsp'( hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_bool',
% 1.19/1.63 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.63 'tc_bool' ), 't_a' ), 'c_and' ), X ) ), Y ), 'v_x', 't_a' ), hAPP( hAPP(
% 1.19/1.63 'c_and', 'c_List_Olistsp'( X, 'v_x', 't_a' ) ), 'c_List_Olistsp'( Y,
% 1.19/1.63 'v_x', 't_a' ) ) ) ],
% 1.19/1.63 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', 'v_e____' ), 'v_u____' ),
% 1.19/1.63 'v_T____' ) ) ],
% 1.19/1.63 [ ~( =( 'v_T____', 'c_Type_Otype_OFun'( X, Y ) ) ), hBOOL( hAPP(
% 1.19/1.63 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T ), U ) )
% 1.19/1.63 ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', W ), T ), Y ) ) ), ~(
% 1.19/1.63 hBOOL( hAPP( 'c_InductTermi_OIT', T ) ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.19/1.63 'c_Type_Otyping', hAPP( hAPP( hAPP( 'c_Type_Oshift'( 'tc_Type_Otype' ), W
% 1.19/1.63 ), U ), Y ) ), Z ), V0 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) )
% 1.19/1.63 ) ],
% 1.19/1.63 [ ~( =( 'v_T____', 'c_Type_Otype_OFun'( X, Y ) ) ), hBOOL( hAPP(
% 1.19/1.63 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T ), U ) )
% 1.19/1.63 ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', W ), T ), X ) ) ), ~(
% 1.19/1.63 hBOOL( hAPP( 'c_InductTermi_OIT', T ) ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.19/1.63 'c_Type_Otyping', hAPP( hAPP( hAPP( 'c_Type_Oshift'( 'tc_Type_Otype' ), W
% 1.19/1.63 ), U ), X ) ), Z ), V0 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) )
% 1.19/1.63 ) ],
% 1.19/1.63 [ hBOOL( 'c_List_Olistsp'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_bool' ), 'tc_bool', 'tc_Lambda_OdB' ), 'c_Ex'(
% 1.19/1.63 'tc_Type_Otype' ) ), hAPP( 'c_Type_Otyping', X ) ), Y, 'tc_Lambda_OdB' )
% 1.19/1.63 ), ~( 'c_Type_Otypings'( X, Y, Z ) ) ],
% 1.19/1.63 [ hBOOL( 'c_List_Olistsp'( hAPP( hAPP( 'c_COMBS'( 'tc_Lambda_OdB',
% 1.19/1.63 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.63 'tc_bool', 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_and' ), 'c_InductTermi_OIT'
% 1.19/1.63 ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ), 'tc_bool' ), 'tc_bool', 'tc_Lambda_OdB' ), 'c_All'(
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ), 'tc_bool' ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ), 'tc_bool', 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ) ), 'c_All'( 'tc_Type_Otype' ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype',
% 1.19/1.63 'tc_bool' ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ),
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ), 'tc_bool',
% 1.19/1.63 'tc_Type_Otype' ), 'c_All'( 'tc_Lambda_OdB' ) ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ) ),
% 1.19/1.63 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB'
% 1.19/1.63 , 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool'
% 1.19/1.63 ), 'tc_Type_Otype' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.19/1.63 'tc_bool', 'tc_Lambda_OdB' ), 'c_All'( 'tc_nat' ) ) ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBS'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype'
% 1.19/1.63 ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_fun'(
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_Lambda_OdB'
% 1.19/1.63 ), 'c_COMBS'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_fun'(
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype'
% 1.19/1.63 , 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) )
% 1.19/1.63 , 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ),
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ),
% 1.19/1.63 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.19/1.63 , 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBC'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) )
% 1.19/1.63 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' )
% 1.19/1.63 , 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_Lambda_OdB'
% 1.19/1.63 ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.19/1.63 , 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.19/1.63 'tc_Type_Otype' ), 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_bool' ), 'tc_Lambda_OdB' ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.19/1.63 ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_bool' ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.19/1.63 , 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype'
% 1.19/1.63 ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.19/1.63 ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_bool' ) ), 'tc_Type_Otype' ), 'c_COMBS'( 'tc_nat', 'tc_bool',
% 1.19/1.63 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ),
% 1.19/1.63 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool',
% 1.19/1.63 'tc_bool' ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.19/1.63 , 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.19/1.63 ) ), 'tc_Type_Otype' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool'
% 1.19/1.63 , 'tc_bool' ), 'tc_nat' ), 'c_implies' ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat'
% 1.19/1.63 , 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'( 'tc_Type_Otype',
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' )
% 1.19/1.63 ), 'c_COMBC'( 'tc_nat', 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP(
% 1.19/1.63 'c_COMBC'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Lambda_OdB',
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat'
% 1.19/1.63 , 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_nat', 'tc_Lambda_OdB', 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ),
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_bool' ) ), 'tc_nat' ), 'c_Type_Otyping' ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBC'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Type_Otype',
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ) ) ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_nat', 'tc_Type_Otype', 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ) ) ), 'c_Type_Oshift'( 'tc_Type_Otype' ) ) ),
% 1.19/1.63 'v_T____' ) ) ) ) ) ) ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB',
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ) ), hAPP( 'c_COMBS'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.19/1.63 , 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_Lambda_OdB' ), 'c_COMBB'(
% 1.19/1.63 'tc_bool', 'tc_bool', 'tc_nat' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.19/1.63 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_implies' ),
% 1.19/1.63 'c_InductTermi_OIT' ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBC'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB',
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ) ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' )
% 1.19/1.63 ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBS'( 'tc_Lambda_OdB'
% 1.19/1.63 , 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.19/1.63 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_bool',
% 1.19/1.63 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ), 'tc_Lambda_OdB' ), 'c_COMBB'( 'tc_bool', 'tc_bool', 'tc_nat' ) ) )
% 1.19/1.63 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ), 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.63 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Type_Otype', 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_Lambda_OdB',
% 1.19/1.63 'tc_Type_Otype', 'tc_bool' ) ), 'c_Type_Otyping' ) ), 'v_T____' ) ) ) ) )
% 1.19/1.63 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.19/1.63 , 'tc_Lambda_OdB' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_bool' ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Lambda_OdB' ), 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Lambda_OdB' ),
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_Lambda_OdB', 'tc_bool', 'tc_nat' ),
% 1.19/1.63 'c_InductTermi_OIT' ) ) ), 'c_Lambda_Osubst' ) ) ) ) ) ) ) ) ),
% 1.19/1.63 'v_rs____', 'tc_Lambda_OdB' ) ) ],
% 1.19/1.63 [ =( hAPP( hAPP( hAPP( hAPP( 'c_Type_Oshift'( X ), Y ), Z ), T ), Z ), T
% 1.19/1.63 ) ],
% 1.19/1.63 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.19/1.63 hAPP( U, W ) ) ) ],
% 1.19/1.63 [ =( hAPP( hAPP( hAPP( 'c_COMBC'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.19/1.63 T, W ), U ) ) ],
% 1.19/1.63 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.19/1.63 T, W ), hAPP( U, W ) ) ) ],
% 1.19/1.63 [ ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), Y ), Z ) ) ), ~(
% 1.19/1.63 hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', hAPP( hAPP( hAPP(
% 1.19/1.63 'c_Type_Oshift'( 'tc_Type_Otype' ), X ), T ), Z ) ), U ), W ) ) ), hBOOL(
% 1.19/1.63 hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), hAPP( hAPP( hAPP(
% 1.19/1.63 'c_Lambda_Osubst', U ), Y ), T ) ), W ) ) ],
% 1.19/1.63 [ hBOOL( 'c_List_Olistsp'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_bool' ), 'tc_bool', 'tc_Lambda_OdB' ), 'c_Ex'(
% 1.19/1.63 'tc_Type_Otype' ) ), hAPP( 'c_Type_Otyping', hAPP( hAPP( hAPP(
% 1.19/1.63 'c_Type_Oshift'( 'tc_Type_Otype' ), 'v_e____' ), 'v_i____' ), 'v_T____' )
% 1.19/1.63 ) ), 'v_rs____', 'tc_Lambda_OdB' ) ) ],
% 1.19/1.63 [ hBOOL( 'c_List_Olistsp'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ), 'tc_bool' ), 'tc_bool', 'tc_Lambda_OdB' ),
% 1.19/1.63 'c_All'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ), 'tc_bool' ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ), 'tc_bool', 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ) ), 'c_All'( 'tc_Type_Otype' ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype',
% 1.19/1.63 'tc_bool' ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ),
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ), 'tc_bool',
% 1.19/1.63 'tc_Type_Otype' ), 'c_All'( 'tc_Lambda_OdB' ) ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ) ),
% 1.19/1.63 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB'
% 1.19/1.63 , 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool'
% 1.19/1.63 ), 'tc_Type_Otype' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.19/1.63 'tc_bool', 'tc_Lambda_OdB' ), 'c_All'( 'tc_nat' ) ) ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBS'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype'
% 1.19/1.63 ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_fun'(
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_Lambda_OdB'
% 1.19/1.63 ), 'c_COMBS'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_fun'(
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype'
% 1.19/1.63 , 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) )
% 1.19/1.63 , 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ),
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ),
% 1.19/1.63 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.19/1.63 , 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBC'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) )
% 1.19/1.63 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' )
% 1.19/1.63 , 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_Lambda_OdB'
% 1.19/1.63 ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.19/1.63 , 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.19/1.63 'tc_Type_Otype' ), 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_bool' ), 'tc_Lambda_OdB' ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.19/1.63 ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_bool' ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.19/1.63 , 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype'
% 1.19/1.63 ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.19/1.63 ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_bool' ) ), 'tc_Type_Otype' ), 'c_COMBS'( 'tc_nat', 'tc_bool',
% 1.19/1.63 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ),
% 1.19/1.63 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool',
% 1.19/1.63 'tc_bool' ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.19/1.63 , 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.19/1.63 ) ), 'tc_Type_Otype' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool'
% 1.19/1.63 , 'tc_bool' ), 'tc_nat' ), 'c_implies' ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat'
% 1.19/1.63 , 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'( 'tc_Type_Otype',
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' )
% 1.19/1.63 ), 'c_COMBC'( 'tc_nat', 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP(
% 1.19/1.63 'c_COMBC'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Lambda_OdB',
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat'
% 1.19/1.63 , 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_nat', 'tc_Lambda_OdB', 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ),
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_bool' ) ), 'tc_nat' ), 'c_Type_Otyping' ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBC'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Type_Otype',
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ) ) ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_nat', 'tc_Type_Otype', 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ) ) ), 'c_Type_Oshift'( 'tc_Type_Otype' ) ) ),
% 1.19/1.63 'v_T____' ) ) ) ) ) ) ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB',
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ) ), hAPP( 'c_COMBS'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.19/1.63 , 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_Lambda_OdB' ), 'c_COMBB'(
% 1.19/1.63 'tc_bool', 'tc_bool', 'tc_nat' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.19/1.63 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_implies' ),
% 1.19/1.63 'c_InductTermi_OIT' ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBC'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB',
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ) ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' )
% 1.19/1.63 ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBS'( 'tc_Lambda_OdB'
% 1.19/1.63 , 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.19/1.63 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_bool',
% 1.19/1.63 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ), 'tc_Lambda_OdB' ), 'c_COMBB'( 'tc_bool', 'tc_bool', 'tc_nat' ) ) )
% 1.19/1.63 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ), 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.63 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Type_Otype', 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_Lambda_OdB',
% 1.19/1.63 'tc_Type_Otype', 'tc_bool' ) ), 'c_Type_Otyping' ) ), 'v_T____' ) ) ) ) )
% 1.19/1.63 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.19/1.63 , 'tc_Lambda_OdB' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_bool' ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Lambda_OdB' ), 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Lambda_OdB' ),
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_Lambda_OdB', 'tc_bool', 'tc_nat' ),
% 1.19/1.63 'c_InductTermi_OIT' ) ) ), 'c_Lambda_Osubst' ) ) ) ) ) ) ) ), 'v_rs____'
% 1.19/1.63 , 'tc_Lambda_OdB' ) ) ],
% 1.19/1.63 [ ~( hBOOL( 'c_List_Olistsp'( hAPP( hAPP( 'c_COMBS'( 'tc_Lambda_OdB',
% 1.19/1.63 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.19/1.63 'tc_bool', 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_and' ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_bool' ),
% 1.19/1.63 'tc_bool', 'tc_Lambda_OdB' ), 'c_All'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ),
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_bool' ),
% 1.19/1.63 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_bool'
% 1.19/1.63 ), 'tc_bool', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'c_All'(
% 1.19/1.63 'tc_Type_Otype' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ),
% 1.19/1.63 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ),
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_bool' ), 'tc_bool', 'tc_Type_Otype' ), 'c_All'(
% 1.19/1.63 'tc_Lambda_OdB' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ), 'tc_fun'(
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype',
% 1.19/1.63 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ),
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ), 'tc_Type_Otype' ), hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_bool', 'tc_Lambda_OdB' )
% 1.19/1.63 , 'c_All'( 'tc_nat' ) ) ) ) ), hAPP( hAPP( 'c_COMBS'( 'tc_Lambda_OdB',
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.19/1.63 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ),
% 1.19/1.63 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype',
% 1.19/1.63 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ),
% 1.19/1.63 'tc_Lambda_OdB' ), 'c_COMBS'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ),
% 1.19/1.63 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_fun'(
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype'
% 1.19/1.63 , 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) )
% 1.19/1.63 , 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ),
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ),
% 1.19/1.63 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.19/1.63 , 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBC'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) )
% 1.19/1.63 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' )
% 1.19/1.63 , 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_Lambda_OdB'
% 1.19/1.63 ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.19/1.63 , 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.19/1.63 'tc_Type_Otype' ), 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_bool' ), 'tc_Lambda_OdB' ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.19/1.63 ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_bool' ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.19/1.63 , 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype'
% 1.19/1.63 ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.19/1.63 ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_bool' ) ), 'tc_Type_Otype' ), 'c_COMBS'( 'tc_nat', 'tc_bool',
% 1.19/1.63 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ),
% 1.19/1.63 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool',
% 1.19/1.63 'tc_bool' ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.19/1.63 , 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.19/1.63 ) ), 'tc_Type_Otype' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool'
% 1.19/1.63 , 'tc_bool' ), 'tc_nat' ), 'c_implies' ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat'
% 1.19/1.63 , 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'( 'tc_Type_Otype',
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' )
% 1.19/1.63 ), 'c_COMBC'( 'tc_nat', 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP(
% 1.19/1.63 'c_COMBC'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Lambda_OdB',
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat'
% 1.19/1.63 , 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_nat', 'tc_Lambda_OdB', 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ),
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_bool' ) ), 'tc_nat' ), 'c_Type_Otyping' ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBC'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Type_Otype',
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), hAPP( hAPP(
% 1.19/1.63 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ) ) ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_nat', 'tc_Type_Otype', 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ) ) ), 'c_Type_Oshift'( 'tc_Type_Otype' ) ) ),
% 1.19/1.63 'v_T____' ) ) ) ) ) ) ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB',
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ) ), hAPP( 'c_COMBS'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.19/1.63 , 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.19/1.63 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_Lambda_OdB' ), 'c_COMBB'(
% 1.19/1.63 'tc_bool', 'tc_bool', 'tc_nat' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.19/1.63 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_implies' ),
% 1.19/1.63 'c_InductTermi_OIT' ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBC'( 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB',
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ) ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' )
% 1.19/1.63 ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBS'( 'tc_Lambda_OdB'
% 1.19/1.63 , 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.19/1.63 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_bool',
% 1.19/1.63 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.19/1.63 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.19/1.63 ) ), 'tc_Lambda_OdB' ), 'c_COMBB'( 'tc_bool', 'tc_bool', 'tc_nat' ) ) )
% 1.19/1.63 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ), 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.19/1.63 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.19/1.63 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Type_Otype', 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.19/1.63 'tc_Lambda_OdB', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.19/1.63 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_Lambda_OdB',
% 1.19/1.63 'tc_Type_Otype', 'tc_bool' ) ), 'c_Type_Otyping' ) ), 'v_T____' ) ) ) ) )
% 1.19/1.63 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.19/1.63 , 'tc_Lambda_OdB' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_bool' ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 1.19/1.63 'tc_Lambda_OdB' ), 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Lambda_OdB' ),
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_Lambda_OdB', 'tc_bool', 'tc_nat' ),
% 1.19/1.63 'c_InductTermi_OIT' ) ) ), 'c_Lambda_Osubst' ) ) ) ) ) ) ) ) ) ), hAPP(
% 1.19/1.63 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ), 'tc_bool',
% 1.19/1.63 'tc_Lambda_OdB' ), 'c_Ex'( 'tc_Type_Otype' ) ), hAPP( 'c_Type_Otyping',
% 1.19/1.63 hAPP( hAPP( hAPP( 'c_Type_Oshift'( 'tc_Type_Otype' ), 'v_e____' ),
% 1.19/1.63 'v_i____' ), 'v_T____' ) ) ) ), 'v_rs____', 'tc_Lambda_OdB' ) ) ) ],
% 1.19/1.63 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 1.19/1.63 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.19/1.63 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.19/1.63 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.19/1.63 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 1.19/1.63 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.19/1.63 'class_Lattices_Olattice'( Y ) ) ],
% 1.19/1.63 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.19/1.63 'class_Lattices_Olattice'( Y ) ) ],
% 1.19/1.63 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.19/1.63 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 1.19/1.63 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.19/1.63 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.19/1.63 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.19/1.63 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.19/1.63 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.19/1.63 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.19/1.63 'class_Orderings_Opreorder'( Y ) ) ],
% 1.19/1.63 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.19/1.63 'class_Lattices_Olattice'( Y ) ) ],
% 1.19/1.63 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.19/1.63 'class_Orderings_Oorder'( Y ) ) ],
% 1.19/1.63 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 1.19/1.63 Y ) ) ],
% 1.19/1.63 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.19/1.63 Y ) ) ],
% 1.19/1.63 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.19/1.63 ,
% 1.19/1.63 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.19/1.63 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.19/1.63 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.19/1.63 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 1.19/1.63 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.19/1.63 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.19/1.63 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 1.19/1.63 [ 'class_Orderings_Owellorder'( 'tc_nat' ) ],
% 1.19/1.63 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.19/1.63 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.19/1.63 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.19/1.63 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.19/1.63 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.19/1.63 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 1.19/1.63 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 1.19/1.63 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.19/1.63 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.19/1.63 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 1.19/1.63 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.19/1.63 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.19/1.63 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.19/1.63 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.19/1.63 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.19/1.63 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 1.19/1.63 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.19/1.63 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.19/1.63 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_Predicate_Opred'( X
% 1.19/1.63 ) ) ],
% 1.19/1.63 [ 'class_Lattices_Oupper__semilattice'( 'tc_Predicate_Opred'( X ) ) ]
% 1.19/1.63 ,
% 1.19/1.63 [ 'class_Lattices_Olower__semilattice'( 'tc_Predicate_Opred'( X ) ) ]
% 1.19/1.63 ,
% 1.19/1.63 [ 'class_Lattices_Odistrib__lattice'( 'tc_Predicate_Opred'( X ) ) ],
% 1.19/1.63 [ 'class_Lattices_Obounded__lattice'( 'tc_Predicate_Opred'( X ) ) ],
% 1.19/1.63 [ 'class_Orderings_Opreorder'( 'tc_Predicate_Opred'( X ) ) ],
% 1.19/1.63 [ 'class_Lattices_Olattice'( 'tc_Predicate_Opred'( X ) ) ],
% 1.19/1.63 [ 'class_Orderings_Oorder'( 'tc_Predicate_Opred'( X ) ) ],
% 1.19/1.63 [ 'class_Orderings_Otop'( 'tc_Predicate_Opred'( X ) ) ],
% 1.19/1.63 [ 'class_Orderings_Obot'( 'tc_Predicate_Opred'( X ) ) ],
% 1.19/1.63 [ 'class_HOL_Oord'( 'tc_Predicate_Opred'( X ) ) ],
% 1.19/1.63 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.19/1.63 T, W ), hAPP( U, W ) ) ) ],
% 1.19/1.63 [ =( hAPP( hAPP( hAPP( 'c_COMBC'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.19/1.63 T, W ), U ) ) ],
% 1.19/1.63 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.19/1.63 hAPP( U, W ) ) ) ],
% 1.19/1.63 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 1.19/1.63 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 1.19/1.63 ] .
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 percentage equality = 0.383391, percentage horn = 0.911888
% 1.19/1.63 This is a problem with some equality
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63
% 1.19/1.63 Options Used:
% 1.19/1.63
% 1.19/1.63 useres = 1
% 1.19/1.63 useparamod = 1
% 1.19/1.63 useeqrefl = 1
% 1.19/1.63 useeqfact = 1
% 1.19/1.63 usefactor = 1
% 1.19/1.63 usesimpsplitting = 0
% 1.19/1.63 usesimpdemod = 5
% 1.19/1.63 usesimpres = 3
% 1.19/1.63
% 1.19/1.63 resimpinuse = 1000
% 1.19/1.63 resimpclauses = 20000
% 1.19/1.63 substype = eqrewr
% 1.19/1.63 backwardsubs = 1
% 1.19/1.63 selectoldest = 5
% 1.19/1.63
% 1.19/1.63 litorderings [0] = split
% 1.19/1.63 litorderings [1] = extend the termordering, first sorting on arguments
% 1.19/1.63
% 1.19/1.63 termordering = kbo
% 1.19/1.63
% 1.19/1.63 litapriori = 0
% 1.19/1.63 termapriori = 1
% 1.19/1.63 litaposteriori = 0
% 1.19/1.63 termaposteriori = 0
% 1.19/1.63 demodaposteriori = 0
% 1.19/1.63 ordereqreflfact = 0
% 1.19/1.63
% 1.19/1.63 litselect = negord
% 1.19/1.63
% 1.19/1.63 maxweight = 15
% 1.19/1.63 maxdepth = 30000
% 1.19/1.63 maxlength = 115
% 1.19/1.63 maxnrvars = 195
% 1.19/1.63 excuselevel = 1
% 1.19/1.63 increasemaxweight = 1
% 1.19/1.63
% 1.19/1.63 maxselected = 10000000
% 1.19/1.63 maxnrclauses = 10000000
% 1.19/1.63
% 1.19/1.63 showgenerated = 0
% 1.19/1.63 showkept = 0
% 1.19/1.63 showselected = 0
% 1.19/1.63 showdeleted = 0
% 1.19/1.63 showresimp = 1
% 1.19/1.63 showstatus = 2000
% 1.19/1.63
% 1.19/1.63 prologoutput = 1
% 1.19/1.63 nrgoals = 5000000
% 1.19/1.63 totalproof = 1
% 1.19/1.63
% 1.19/1.63 Symbols occurring in the translation:
% 1.19/1.63
% 1.19/1.63 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.19/1.63 . [1, 2] (w:1, o:193, a:1, s:1, b:0),
% 1.19/1.63 ! [4, 1] (w:0, o:142, a:1, s:1, b:0),
% 1.19/1.63 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.19/1.63 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.19/1.63 'tc_bool' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.19/1.63 'tc_fun' [41, 2] (w:1, o:218, a:1, s:1, b:0),
% 1.19/1.63 'c_Orderings_Obot__class_Obot' [42, 1] (w:1, o:147, a:1, s:1, b:0),
% 1.19/1.63 'c_Relation_Ototal__on' [44, 3] (w:1, o:243, a:1, s:1, b:0),
% 1.19/1.63 hBOOL [45, 1] (w:1, o:148, a:1, s:1, b:0),
% 1.19/1.63 'tc_prod' [46, 2] (w:1, o:219, a:1, s:1, b:0),
% 1.19/1.63 'c_in' [47, 1] (w:1, o:149, a:1, s:1, b:0),
% 1.19/1.63 'c_Pair' [48, 2] (w:1, o:222, a:1, s:1, b:0),
% 1.19/1.63 hAPP [50, 2] (w:1, o:223, a:1, s:1, b:0),
% 1.19/1.63 'c_Lattices_Olower__semilattice__class_Oinf' [53, 1] (w:1, o:150, a:1
% 1.19/1.63 , s:1, b:0),
% 1.19/1.63 'c_split' [59, 4] (w:1, o:267, a:1, s:1, b:0),
% 1.19/1.63 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI' [60, 2] (w:1
% 1.19/1.63 , o:224, a:1, s:1, b:0),
% 1.19/1.63 'c_Finite__Set_Ofinite' [61, 2] (w:1, o:225, a:1, s:1, b:0),
% 1.19/1.63 'c_Set_Oinsert' [62, 1] (w:1, o:151, a:1, s:1, b:0),
% 1.19/1.63 'c_COMBK' [64, 2] (w:1, o:226, a:1, s:1, b:0),
% 1.19/1.63 'c_Record_Oiso__tuple__update__accessor__cong__assist' [67, 4] (w:1
% 1.19/1.63 , o:268, a:1, s:1, b:0),
% 1.19/1.63 'c_Lattices_Oupper__semilattice__class_Osup' [68, 1] (w:1, o:152, a:1
% 1.19/1.63 , s:1, b:0),
% 1.19/1.63 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [70, 2] (w:1
% 1.19/1.63 , o:227, a:1, s:1, b:0),
% 1.19/1.63 'c_Set_Oimage' [72, 3] (w:1, o:245, a:1, s:1, b:0),
% 1.19/1.63 'c_Orderings_Otop__class_Otop' [73, 1] (w:1, o:153, a:1, s:1, b:0),
% 1.19/1.63 'c_Fun_Oinj__on' [74, 4] (w:1, o:269, a:1, s:1, b:0),
% 1.19/1.63 'c_Complete__Lattice_Ocomplete__lattice' [83, 9] (w:1, o:284, a:1, s:
% 1.19/1.63 1, b:0),
% 1.19/1.63 'class_Complete__Lattice_Ocomplete__lattice' [84, 1] (w:1, o:154, a:1
% 1.19/1.63 , s:1, b:0),
% 1.19/1.63 'c_Complete__Lattice_OSup__class_OSup' [85, 1] (w:1, o:156, a:1, s:1
% 1.19/1.63 , b:0),
% 1.19/1.63 'c_List_Olist_ONil' [88, 1] (w:1, o:157, a:1, s:1, b:0),
% 1.19/1.63 'c_List_Omap' [90, 4] (w:1, o:270, a:1, s:1, b:0),
% 1.19/1.63 'c_Relation_OImage' [91, 3] (w:1, o:244, a:1, s:1, b:0),
% 1.19/1.63 'c_COMBB' [93, 3] (w:1, o:246, a:1, s:1, b:0),
% 1.19/1.63 'class_Orderings_Owellorder' [94, 1] (w:1, o:158, a:1, s:1, b:0),
% 1.23/1.64 'c_HOL_Oord__class_Oless' [96, 1] (w:1, o:159, a:1, s:1, b:0),
% 1.23/1.64 'c_Orderings_Oord__class_OLeast' [97, 2] (w:1, o:221, a:1, s:1, b:0)
% 1.23/1.64 ,
% 1.23/1.64 'c_The' [98, 2] (w:1, o:228, a:1, s:1, b:0),
% 1.23/1.64 'c_Lambda_OdB_OVar' [100, 1] (w:1, o:160, a:1, s:1, b:0),
% 1.23/1.64 'c_Lambda_OdB_OAbs' [102, 1] (w:1, o:161, a:1, s:1, b:0),
% 1.23/1.64 'c_Transitive__Closure_Ortranclp' [104, 2] (w:1, o:229, a:1, s:1, b:0
% 1.23/1.64 ),
% 1.23/1.64 'c_List_Oset' [106, 2] (w:1, o:230, a:1, s:1, b:0),
% 1.23/1.64 'v_r' [108, 0] (w:1, o:78, a:1, s:1, b:0),
% 1.23/1.64 'v_s' [109, 0] (w:1, o:80, a:1, s:1, b:0),
% 1.23/1.64 't_a' [110, 0] (w:1, o:81, a:1, s:1, b:0),
% 1.23/1.64 't_b' [111, 0] (w:1, o:82, a:1, s:1, b:0),
% 1.23/1.64 't_c' [112, 0] (w:1, o:83, a:1, s:1, b:0),
% 1.23/1.64 'c_Relation_Orel__comp' [113, 5] (w:1, o:281, a:1, s:1, b:0),
% 1.23/1.64 'c_Collect' [114, 1] (w:1, o:155, a:1, s:1, b:0),
% 1.23/1.64 'c_Ex' [115, 1] (w:1, o:162, a:1, s:1, b:0),
% 1.23/1.64 'c_COMBC' [116, 3] (w:1, o:247, a:1, s:1, b:0),
% 1.23/1.64 'c_COMBS' [117, 3] (w:1, o:248, a:1, s:1, b:0),
% 1.23/1.64 'c_and' [118, 0] (w:1, o:84, a:1, s:1, b:0),
% 1.23/1.64 'v_A' [119, 0] (w:1, o:85, a:1, s:1, b:0),
% 1.23/1.64 'c_All' [120, 1] (w:1, o:163, a:1, s:1, b:0),
% 1.23/1.64 'c_implies' [121, 0] (w:1, o:86, a:1, s:1, b:0),
% 1.23/1.64 'c_Not' [122, 0] (w:1, o:87, a:1, s:1, b:0),
% 1.23/1.64 'c_fequal' [123, 1] (w:1, o:164, a:1, s:1, b:0),
% 1.23/1.64 'c_or' [124, 0] (w:1, o:88, a:1, s:1, b:0),
% 1.23/1.64 'class_Lattices_Obounded__lattice' [125, 1] (w:1, o:165, a:1, s:1, b:
% 1.23/1.64 0),
% 1.23/1.64 'c_Lambda_OdB_OApp' [126, 0] (w:1, o:89, a:1, s:1, b:0),
% 1.23/1.64 'c_Lambda_Olift' [129, 2] (w:1, o:231, a:1, s:1, b:0),
% 1.23/1.64 'class_Orderings_Oorder' [131, 1] (w:1, o:166, a:1, s:1, b:0),
% 1.23/1.64 'c_Orderings_Oorder__class_Ostrict__mono' [132, 3] (w:1, o:249, a:1
% 1.23/1.64 , s:1, b:0),
% 1.23/1.64 'class_Orderings_Olinorder' [133, 1] (w:1, o:167, a:1, s:1, b:0),
% 1.23/1.64 'c_lessequals' [134, 1] (w:1, o:168, a:1, s:1, b:0),
% 1.23/1.64 'c_List_Oappend' [135, 3] (w:1, o:250, a:1, s:1, b:0),
% 1.23/1.64 'c_List_Onth' [136, 2] (w:1, o:232, a:1, s:1, b:0),
% 1.23/1.64 'tc_nat' [138, 0] (w:1, o:91, a:1, s:1, b:0),
% 1.23/1.64 'tc_List_Olist' [139, 1] (w:1, o:169, a:1, s:1, b:0),
% 1.23/1.64 'c_Nat_Osize__class_Osize' [140, 2] (w:1, o:220, a:1, s:1, b:0),
% 1.23/1.64 'class_Lattices_Olattice' [145, 1] (w:1, o:170, a:1, s:1, b:0),
% 1.23/1.64 'c_Finite__Set_Olattice__class_OInf__fin' [146, 2] (w:1, o:233, a:1
% 1.23/1.64 , s:1, b:0),
% 1.23/1.64 'c_COMBI' [147, 1] (w:1, o:171, a:1, s:1, b:0),
% 1.23/1.64 'c_Product__Type_OSigma' [149, 4] (w:1, o:272, a:1, s:1, b:0),
% 1.23/1.64 'c_Finite__Set_Olattice_OInf__fin' [150, 3] (w:1, o:251, a:1, s:1, b:
% 1.23/1.64 0),
% 1.23/1.64 'class_Orderings_Obot' [151, 1] (w:1, o:172, a:1, s:1, b:0),
% 1.23/1.64 'v_x' [152, 0] (w:1, o:95, a:1, s:1, b:0),
% 1.23/1.64 'c_List_Ofoldl' [153, 5] (w:1, o:282, a:1, s:1, b:0),
% 1.23/1.64 'c_Complete__Lattice_OInf__class_OInf' [154, 1] (w:1, o:173, a:1, s:1
% 1.23/1.64 , b:0),
% 1.23/1.64 'c_List_Olistsp' [155, 3] (w:1, o:252, a:1, s:1, b:0),
% 1.23/1.64 'c_List_Osko__List__Xin__listsp__conv__set__1__1' [156, 3] (w:1, o:
% 1.23/1.64 253, a:1, s:1, b:0),
% 1.23/1.64 'c_List_Ofilter' [160, 3] (w:1, o:254, a:1, s:1, b:0),
% 1.23/1.64 'c_Orderings_Oorder__class_Omono' [161, 3] (w:1, o:255, a:1, s:1, b:0
% 1.23/1.64 ),
% 1.23/1.64 'c_Lambda_Osubst' [165, 0] (w:1, o:106, a:1, s:1, b:0),
% 1.23/1.64 'class_Lattices_Odistrib__lattice' [167, 1] (w:1, o:174, a:1, s:1, b:
% 1.23/1.64 0),
% 1.23/1.64 'class_Ring__and__Field_Ocomm__semiring__1' [168, 1] (w:1, o:175, a:1
% 1.23/1.64 , s:1, b:0),
% 1.23/1.64 'c_HOL_Otimes__class_Otimes' [169, 1] (w:1, o:176, a:1, s:1, b:0),
% 1.23/1.64 'c_Orderings_Oorder' [170, 3] (w:1, o:256, a:1, s:1, b:0),
% 1.23/1.64 'class_Lattices_Oupper__semilattice' [171, 1] (w:1, o:177, a:1, s:1
% 1.23/1.64 , b:0),
% 1.23/1.64 'class_Orderings_Opreorder' [172, 1] (w:1, o:178, a:1, s:1, b:0),
% 1.23/1.64 'c_Hilbert__Choice_OEps' [173, 2] (w:1, o:234, a:1, s:1, b:0),
% 1.23/1.64 'c_Lattices_Oboolean__algebra' [176, 9] (w:1, o:285, a:1, s:1, b:0),
% 1.23/1.64
% 1.23/1.64 'c_Relation_Osingle__valued' [177, 3] (w:1, o:242, a:1, s:1, b:0),
% 1.23/1.64 'tc_Lambda_OdB' [179, 0] (w:1, o:107, a:1, s:1, b:0),
% 1.23/1.64 'class_Lattices_Olower__semilattice' [181, 1] (w:1, o:179, a:1, s:1
% 1.23/1.64 , b:0),
% 1.23/1.64 'c_Fun_Oid' [183, 1] (w:1, o:180, a:1, s:1, b:0),
% 1.23/1.64 'c_Orderings_Oorder_Ostrict__mono' [186, 3] (w:1, o:257, a:1, s:1, b:
% 7.78/8.16 0),
% 7.78/8.16 'c_Orderings_Oorder_Omono' [191, 3] (w:1, o:258, a:1, s:1, b:0),
% 7.78/8.16 'class_OrderedGroup_Ocomm__monoid__add' [192, 1] (w:1, o:181, a:1, s:
% 7.78/8.16 1, b:0),
% 7.78/8.16 'c_Finite__Set_Osetsum' [193, 2] (w:1, o:235, a:1, s:1, b:0),
% 7.78/8.16 'c_Lambda_Obeta' [195, 2] (w:1, o:236, a:1, s:1, b:0),
% 7.78/8.16 'c_Predicate_Oeval' [196, 1] (w:1, o:182, a:1, s:1, b:0),
% 7.78/8.16 'class_Orderings_Otop' [197, 1] (w:1, o:183, a:1, s:1, b:0),
% 7.78/8.16 'class_Ring__and__Field_Oordered__idom' [198, 1] (w:1, o:184, a:1, s:
% 7.78/8.16 1, b:0),
% 7.78/8.16 'c_Type_Otyping' [200, 0] (w:1, o:116, a:1, s:1, b:0),
% 7.78/8.16 'c_Recdef_Ocut' [204, 2] (w:1, o:237, a:1, s:1, b:0),
% 7.78/8.16 'c_Predicate_Opred_OPred' [206, 2] (w:1, o:238, a:1, s:1, b:0),
% 7.78/8.16 'class_Ring__and__Field_Osemiring__0' [209, 1] (w:1, o:185, a:1, s:1
% 7.78/8.16 , b:0),
% 7.78/8.16 'c_Finite__Set_Olattice__class_OSup__fin' [210, 2] (w:1, o:239, a:1
% 7.78/8.16 , s:1, b:0),
% 7.78/8.16 'c_Lattices_Odistrib__lattice' [211, 5] (w:1, o:283, a:1, s:1, b:0),
% 7.78/8.16
% 7.78/8.16 'c_Type_Otype_OFun' [214, 2] (w:1, o:240, a:1, s:1, b:0),
% 7.78/8.16 'c_Finite__Set_Olattice_OSup__fin' [215, 3] (w:1, o:259, a:1, s:1, b:
% 7.78/8.16 0),
% 7.78/8.16 'class_OrderedGroup_Oab__semigroup__idem__mult' [218, 1] (w:1, o:186
% 7.78/8.16 , a:1, s:1, b:0),
% 7.78/8.16 'c_Relation_Otrans' [226, 2] (w:1, o:241, a:1, s:1, b:0),
% 7.78/8.16 'class_Finite__Set_Ofinite_Ofinite' [227, 1] (w:1, o:187, a:1, s:1
% 7.78/8.16 , b:0),
% 7.78/8.16 'v_P' [228, 0] (w:1, o:118, a:1, s:1, b:0),
% 7.78/8.16 'class_Ring__and__Field_Oordered__ring__strict' [229, 1] (w:1, o:188
% 7.78/8.16 , a:1, s:1, b:0),
% 7.78/8.16 'c_InductTermi_OIT' [230, 0] (w:1, o:119, a:1, s:1, b:0),
% 7.78/8.16 'c_Predicate_Obind' [231, 4] (w:1, o:273, a:1, s:1, b:0),
% 7.78/8.16 'v_B' [232, 0] (w:1, o:120, a:1, s:1, b:0),
% 7.78/8.16 'c_Predicate_OPowp' [233, 3] (w:1, o:261, a:1, s:1, b:0),
% 7.78/8.16 'v_f' [237, 0] (w:1, o:126, a:1, s:1, b:0),
% 7.78/8.16 'class_OrderedGroup_Oab__semigroup__mult' [238, 1] (w:1, o:189, a:1
% 7.78/8.16 , s:1, b:0),
% 7.78/8.16 'c_Finite__Set_Olinorder_OMax' [243, 3] (w:1, o:262, a:1, s:1, b:0),
% 7.78/8.16
% 7.78/8.16 'c_OrderedGroup_Oordered__ab__semigroup__add' [244, 4] (w:1, o:271
% 7.78/8.16 , a:1, s:1, b:0),
% 7.78/8.16 'c_Finite__Set_Olinorder_OMin' [245, 3] (w:1, o:263, a:1, s:1, b:0),
% 7.78/8.16
% 7.78/8.16 'v_ua______' [246, 0] (w:1, o:129, a:1, s:1, b:0),
% 7.78/8.16 'v_u____' [247, 0] (w:1, o:130, a:1, s:1, b:0),
% 7.78/8.16 'tc_Predicate_Opred' [250, 1] (w:1, o:190, a:1, s:1, b:0),
% 7.78/8.16 'c_Type_Oshift' [251, 1] (w:1, o:191, a:1, s:1, b:0),
% 7.78/8.16 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bex__1__1' [252, 4
% 7.78/8.16 ] (w:1, o:274, a:1, s:1, b:0),
% 7.78/8.16 'v_ea______' [253, 0] (w:1, o:124, a:1, s:1, b:0),
% 7.78/8.16 'v_T____' [254, 0] (w:1, o:131, a:1, s:1, b:0),
% 7.78/8.16 'v_dfault' [255, 0] (w:1, o:122, a:1, s:1, b:0),
% 7.78/8.16 'c_Predicate_Osingleton' [256, 3] (w:1, o:264, a:1, s:1, b:0),
% 7.78/8.16 'c_Product__Type_OUnity' [257, 0] (w:1, o:132, a:1, s:1, b:0),
% 7.78/8.16 'c_HOL_OIf' [258, 4] (w:1, o:275, a:1, s:1, b:0),
% 7.78/8.16 'c_Recdef_Oadm__wf' [259, 4] (w:1, o:276, a:1, s:1, b:0),
% 7.78/8.16 'c_List_Osko__List__Xfoldl__apply__inv__1__1' [260, 4] (w:1, o:277
% 7.78/8.16 , a:1, s:1, b:0),
% 7.78/8.16 'class_HOL_Oord' [261, 1] (w:1, o:192, a:1, s:1, b:0),
% 7.78/8.16 'v_d' [262, 0] (w:1, o:123, a:1, s:1, b:0),
% 7.78/8.16 'c_FunDef_OTHE__default' [263, 3] (w:1, o:265, a:1, s:1, b:0),
% 7.78/8.16 'tc_Type_Otype' [264, 0] (w:1, o:133, a:1, s:1, b:0),
% 7.78/8.16 'v_e____' [265, 0] (w:1, o:125, a:1, s:1, b:0),
% 7.78/8.16 'v_i____' [266, 0] (w:1, o:134, a:1, s:1, b:0),
% 7.78/8.16 'v_n____' [267, 0] (w:1, o:135, a:1, s:1, b:0),
% 7.78/8.16 'v_rs____' [268, 0] (w:1, o:79, a:1, s:1, b:0),
% 7.78/8.16 'v_T_H____' [269, 0] (w:1, o:136, a:1, s:1, b:0),
% 7.78/8.16 'v_upd' [270, 0] (w:1, o:137, a:1, s:1, b:0),
% 7.78/8.16 'v_acc' [271, 0] (w:1, o:138, a:1, s:1, b:0),
% 7.78/8.16 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1' [
% 7.78/8.16 272, 4] (w:1, o:278, a:1, s:1, b:0),
% 7.78/8.16 'c_Orderings_Oord_OLeast' [273, 3] (w:1, o:260, a:1, s:1, b:0),
% 7.78/8.16 'c_Hilbert__Choice_OLeastM' [274, 4] (w:1, o:279, a:1, s:1, b:0),
% 7.78/8.16 'c_Hilbert__Choice_OGreatestM' [276, 4] (w:1, o:280, a:1, s:1, b:0),
% 7.78/8.16
% 7.78/8.16 'c_Type_Otypings' [281, 3] (w:1, o:266, a:1, s:1, b:0).
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Starting Search:
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Intermediate Status:
% 21.95/22.32 Generated: 4476
% 21.95/22.32 Kept: 2169
% 21.95/22.32 Inuse: 147
% 21.95/22.32 Deleted: 9
% 21.95/22.32 Deletedinuse: 0
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Intermediate Status:
% 21.95/22.32 Generated: 13080
% 21.95/22.32 Kept: 4189
% 21.95/22.32 Inuse: 198
% 21.95/22.32 Deleted: 13
% 21.95/22.32 Deletedinuse: 0
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Intermediate Status:
% 21.95/22.32 Generated: 21103
% 21.95/22.32 Kept: 6646
% 21.95/22.32 Inuse: 233
% 21.95/22.32 Deleted: 13
% 21.95/22.32 Deletedinuse: 0
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Intermediate Status:
% 21.95/22.32 Generated: 28397
% 21.95/22.32 Kept: 8654
% 21.95/22.32 Inuse: 302
% 21.95/22.32 Deleted: 14
% 21.95/22.32 Deletedinuse: 0
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Intermediate Status:
% 21.95/22.32 Generated: 35602
% 21.95/22.32 Kept: 10686
% 21.95/22.32 Inuse: 343
% 21.95/22.32 Deleted: 15
% 21.95/22.32 Deletedinuse: 0
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Intermediate Status:
% 21.95/22.32 Generated: 41206
% 21.95/22.32 Kept: 12758
% 21.95/22.32 Inuse: 366
% 21.95/22.32 Deleted: 15
% 21.95/22.32 Deletedinuse: 0
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Intermediate Status:
% 21.95/22.32 Generated: 48237
% 21.95/22.32 Kept: 14803
% 21.95/22.32 Inuse: 383
% 21.95/22.32 Deleted: 15
% 21.95/22.32 Deletedinuse: 0
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Intermediate Status:
% 21.95/22.32 Generated: 56779
% 21.95/22.32 Kept: 17060
% 21.95/22.32 Inuse: 395
% 21.95/22.32 Deleted: 16
% 21.95/22.32 Deletedinuse: 0
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Intermediate Status:
% 21.95/22.32 Generated: 65953
% 21.95/22.32 Kept: 19082
% 21.95/22.32 Inuse: 412
% 21.95/22.32 Deleted: 16
% 21.95/22.32 Deletedinuse: 0
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32 Resimplifying clauses:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Intermediate Status:
% 21.95/22.32 Generated: 73040
% 21.95/22.32 Kept: 21202
% 21.95/22.32 Inuse: 440
% 21.95/22.32 Deleted: 104
% 21.95/22.32 Deletedinuse: 0
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Intermediate Status:
% 21.95/22.32 Generated: 81589
% 21.95/22.32 Kept: 23393
% 21.95/22.32 Inuse: 455
% 21.95/22.32 Deleted: 104
% 21.95/22.32 Deletedinuse: 0
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Intermediate Status:
% 21.95/22.32 Generated: 91643
% 21.95/22.32 Kept: 25441
% 21.95/22.32 Inuse: 490
% 21.95/22.32 Deleted: 104
% 21.95/22.32 Deletedinuse: 0
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Intermediate Status:
% 21.95/22.32 Generated: 101400
% 21.95/22.32 Kept: 27784
% 21.95/22.32 Inuse: 520
% 21.95/22.32 Deleted: 104
% 21.95/22.32 Deletedinuse: 0
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Intermediate Status:
% 21.95/22.32 Generated: 109545
% 21.95/22.32 Kept: 29795
% 21.95/22.32 Inuse: 550
% 21.95/22.32 Deleted: 104
% 21.95/22.32 Deletedinuse: 0
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Intermediate Status:
% 21.95/22.32 Generated: 121129
% 21.95/22.32 Kept: 31816
% 21.95/22.32 Inuse: 578
% 21.95/22.32 Deleted: 109
% 21.95/22.32 Deletedinuse: 5
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Intermediate Status:
% 21.95/22.32 Generated: 131364
% 21.95/22.32 Kept: 33836
% 21.95/22.32 Inuse: 590
% 21.95/22.32 Deleted: 109
% 21.95/22.32 Deletedinuse: 5
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Intermediate Status:
% 21.95/22.32 Generated: 140799
% 21.95/22.32 Kept: 35859
% 21.95/22.32 Inuse: 626
% 21.95/22.32 Deleted: 109
% 21.95/22.32 Deletedinuse: 5
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Intermediate Status:
% 21.95/22.32 Generated: 150367
% 21.95/22.32 Kept: 38534
% 21.95/22.32 Inuse: 649
% 21.95/22.32 Deleted: 111
% 21.95/22.32 Deletedinuse: 6
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
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% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Intermediate Status:
% 21.95/22.32 Generated: 156783
% 21.95/22.32 Kept: 41231
% 21.95/22.32 Inuse: 654
% 21.95/22.32 Deleted: 111
% 21.95/22.32 Deletedinuse: 6
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
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% 21.95/22.32
% 21.95/22.32 Resimplifying clauses:
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% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Intermediate Status:
% 21.95/22.32 Generated: 164710
% 21.95/22.32 Kept: 43361
% 21.95/22.32 Inuse: 694
% 21.95/22.32 Deleted: 216
% 21.95/22.32 Deletedinuse: 8
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
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% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Intermediate Status:
% 21.95/22.32 Generated: 180695
% 21.95/22.32 Kept: 45989
% 21.95/22.32 Inuse: 718
% 21.95/22.32 Deleted: 218
% 21.95/22.32 Deletedinuse: 9
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Intermediate Status:
% 21.95/22.32 Generated: 189845
% 21.95/22.32 Kept: 48479
% 21.95/22.32 Inuse: 733
% 21.95/22.32 Deleted: 218
% 21.95/22.32 Deletedinuse: 9
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Intermediate Status:
% 21.95/22.32 Generated: 199939
% 21.95/22.32 Kept: 51514
% 21.95/22.32 Inuse: 758
% 21.95/22.32 Deleted: 218
% 21.95/22.32 Deletedinuse: 9
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32
% 21.95/22.32 Intermediate Status:
% 21.95/22.32 Generated: 211893
% 21.95/22.32 Kept: 53651
% 21.95/22.32 Inuse: 773
% 21.95/22.32 Deleted: 219
% 21.95/22.32 Deletedinuse: 10
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 21.95/22.32 Done
% 21.95/22.32
% 21.95/22.32 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 54.90/55.31 Generated: 219978
% 54.90/55.31 Kept: 55727
% 54.90/55.31 Inuse: 808
% 54.90/55.31 Deleted: 219
% 54.90/55.31 Deletedinuse: 10
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 54.90/55.31 Generated: 234014
% 54.90/55.31 Kept: 59307
% 54.90/55.31 Inuse: 836
% 54.90/55.31 Deleted: 224
% 54.90/55.31 Deletedinuse: 13
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 54.90/55.31 Generated: 256502
% 54.90/55.31 Kept: 62313
% 54.90/55.31 Inuse: 859
% 54.90/55.31 Deleted: 229
% 54.90/55.31 Deletedinuse: 16
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31 Resimplifying clauses:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 54.90/55.31 Generated: 277588
% 54.90/55.31 Kept: 64995
% 54.90/55.31 Inuse: 868
% 54.90/55.31 Deleted: 541
% 54.90/55.31 Deletedinuse: 17
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
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% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 54.90/55.31 Generated: 298505
% 54.90/55.31 Kept: 67631
% 54.90/55.31 Inuse: 877
% 54.90/55.31 Deleted: 542
% 54.90/55.31 Deletedinuse: 17
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
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% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 54.90/55.31 Generated: 311767
% 54.90/55.31 Kept: 69863
% 54.90/55.31 Inuse: 889
% 54.90/55.31 Deleted: 545
% 54.90/55.31 Deletedinuse: 17
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 54.90/55.31 Generated: 321459
% 54.90/55.31 Kept: 72107
% 54.90/55.31 Inuse: 917
% 54.90/55.31 Deleted: 551
% 54.90/55.31 Deletedinuse: 21
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
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% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 54.90/55.31 Generated: 339911
% 54.90/55.31 Kept: 75218
% 54.90/55.31 Inuse: 932
% 54.90/55.31 Deleted: 551
% 54.90/55.31 Deletedinuse: 21
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 54.90/55.31 Generated: 347244
% 54.90/55.31 Kept: 77437
% 54.90/55.31 Inuse: 947
% 54.90/55.31 Deleted: 551
% 54.90/55.31 Deletedinuse: 21
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 54.90/55.31 Generated: 356621
% 54.90/55.31 Kept: 79541
% 54.90/55.31 Inuse: 972
% 54.90/55.31 Deleted: 552
% 54.90/55.31 Deletedinuse: 22
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 54.90/55.31 Generated: 367304
% 54.90/55.31 Kept: 81900
% 54.90/55.31 Inuse: 997
% 54.90/55.31 Deleted: 555
% 54.90/55.31 Deletedinuse: 25
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31 Resimplifying clauses:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 54.90/55.31 Generated: 386610
% 54.90/55.31 Kept: 86772
% 54.90/55.31 Inuse: 1012
% 54.90/55.31 Deleted: 960
% 54.90/55.31 Deletedinuse: 25
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 54.90/55.31 Generated: 398368
% 54.90/55.31 Kept: 88968
% 54.90/55.31 Inuse: 1042
% 54.90/55.31 Deleted: 960
% 54.90/55.31 Deletedinuse: 25
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 54.90/55.31 Generated: 415299
% 54.90/55.31 Kept: 91083
% 54.90/55.31 Inuse: 1052
% 54.90/55.31 Deleted: 960
% 54.90/55.31 Deletedinuse: 25
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 54.90/55.31 Generated: 424363
% 54.90/55.31 Kept: 93137
% 54.90/55.31 Inuse: 1067
% 54.90/55.31 Deleted: 960
% 54.90/55.31 Deletedinuse: 25
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 54.90/55.31 Generated: 435922
% 54.90/55.31 Kept: 95339
% 54.90/55.31 Inuse: 1092
% 54.90/55.31 Deleted: 960
% 54.90/55.31 Deletedinuse: 25
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 54.90/55.31 Generated: 447920
% 54.90/55.31 Kept: 97550
% 54.90/55.31 Inuse: 1122
% 54.90/55.31 Deleted: 960
% 54.90/55.31 Deletedinuse: 25
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 54.90/55.31 Generated: 456432
% 54.90/55.31 Kept: 100141
% 54.90/55.31 Inuse: 1129
% 54.90/55.31 Deleted: 964
% 54.90/55.31 Deletedinuse: 26
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 54.90/55.31 Generated: 463300
% 54.90/55.31 Kept: 102884
% 54.90/55.31 Inuse: 1144
% 54.90/55.31 Deleted: 971
% 54.90/55.31 Deletedinuse: 28
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31 Resimplifying clauses:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 54.90/55.31 Generated: 469642
% 54.90/55.31 Kept: 104891
% 54.90/55.31 Inuse: 1160
% 54.90/55.31 Deleted: 1276
% 54.90/55.31 Deletedinuse: 29
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 54.90/55.31 Generated: 485016
% 54.90/55.31 Kept: 108513
% 54.90/55.31 Inuse: 1167
% 54.90/55.31 Deleted: 1278
% 54.90/55.31 Deletedinuse: 31
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 54.90/55.31 Generated: 507291
% 54.90/55.31 Kept: 111537
% 54.90/55.31 Inuse: 1182
% 54.90/55.31 Deleted: 1279
% 54.90/55.31 Deletedinuse: 32
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 54.90/55.31 Generated: 522259
% 54.90/55.31 Kept: 115062
% 54.90/55.31 Inuse: 1197
% 54.90/55.31 Deleted: 1279
% 54.90/55.31 Deletedinuse: 32
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 54.90/55.31 Generated: 534706
% 54.90/55.31 Kept: 117744
% 54.90/55.31 Inuse: 1207
% 54.90/55.31 Deleted: 1279
% 54.90/55.31 Deletedinuse: 32
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31 Resimplifying inuse:
% 54.90/55.31 Done
% 54.90/55.31
% 54.90/55.31
% 54.90/55.31 Intermediate Status:
% 102.72/103.16 Generated: 550397
% 102.72/103.16 Kept: 121322
% 102.72/103.16 Inuse: 1217
% 102.72/103.16 Deleted: 1279
% 102.72/103.16 Deletedinuse: 32
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16
% 102.72/103.16 Intermediate Status:
% 102.72/103.16 Generated: 556224
% 102.72/103.16 Kept: 123513
% 102.72/103.16 Inuse: 1218
% 102.72/103.16 Deleted: 1279
% 102.72/103.16 Deletedinuse: 32
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16 Resimplifying clauses:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16
% 102.72/103.16 Intermediate Status:
% 102.72/103.16 Generated: 577594
% 102.72/103.16 Kept: 127045
% 102.72/103.16 Inuse: 1227
% 102.72/103.16 Deleted: 1522
% 102.72/103.16 Deletedinuse: 33
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16
% 102.72/103.16 Intermediate Status:
% 102.72/103.16 Generated: 599887
% 102.72/103.16 Kept: 130178
% 102.72/103.16 Inuse: 1247
% 102.72/103.16 Deleted: 1522
% 102.72/103.16 Deletedinuse: 33
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16
% 102.72/103.16 Intermediate Status:
% 102.72/103.16 Generated: 609751
% 102.72/103.16 Kept: 132178
% 102.72/103.16 Inuse: 1264
% 102.72/103.16 Deleted: 1522
% 102.72/103.16 Deletedinuse: 33
% 102.72/103.16
% 102.72/103.16
% 102.72/103.16 Intermediate Status:
% 102.72/103.16 Generated: 621298
% 102.72/103.16 Kept: 134702
% 102.72/103.16 Inuse: 1267
% 102.72/103.16 Deleted: 1522
% 102.72/103.16 Deletedinuse: 33
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16
% 102.72/103.16 Intermediate Status:
% 102.72/103.16 Generated: 640925
% 102.72/103.16 Kept: 138789
% 102.72/103.16 Inuse: 1287
% 102.72/103.16 Deleted: 1522
% 102.72/103.16 Deletedinuse: 33
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16
% 102.72/103.16 Intermediate Status:
% 102.72/103.16 Generated: 648867
% 102.72/103.16 Kept: 141019
% 102.72/103.16 Inuse: 1297
% 102.72/103.16 Deleted: 1522
% 102.72/103.16 Deletedinuse: 33
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16
% 102.72/103.16 Intermediate Status:
% 102.72/103.16 Generated: 655321
% 102.72/103.16 Kept: 143388
% 102.72/103.16 Inuse: 1307
% 102.72/103.16 Deleted: 1522
% 102.72/103.16 Deletedinuse: 33
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16 Resimplifying clauses:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16
% 102.72/103.16 Intermediate Status:
% 102.72/103.16 Generated: 662700
% 102.72/103.16 Kept: 145906
% 102.72/103.16 Inuse: 1317
% 102.72/103.16 Deleted: 1620
% 102.72/103.16 Deletedinuse: 33
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16
% 102.72/103.16 Intermediate Status:
% 102.72/103.16 Generated: 674123
% 102.72/103.16 Kept: 148012
% 102.72/103.16 Inuse: 1332
% 102.72/103.16 Deleted: 1620
% 102.72/103.16 Deletedinuse: 33
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16
% 102.72/103.16 Intermediate Status:
% 102.72/103.16 Generated: 681142
% 102.72/103.16 Kept: 150132
% 102.72/103.16 Inuse: 1342
% 102.72/103.16 Deleted: 1621
% 102.72/103.16 Deletedinuse: 34
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16
% 102.72/103.16 Intermediate Status:
% 102.72/103.16 Generated: 690676
% 102.72/103.16 Kept: 152141
% 102.72/103.16 Inuse: 1362
% 102.72/103.16 Deleted: 1622
% 102.72/103.16 Deletedinuse: 34
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16
% 102.72/103.16 Intermediate Status:
% 102.72/103.16 Generated: 701130
% 102.72/103.16 Kept: 154178
% 102.72/103.16 Inuse: 1383
% 102.72/103.16 Deleted: 1622
% 102.72/103.16 Deletedinuse: 34
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16
% 102.72/103.16 Intermediate Status:
% 102.72/103.16 Generated: 710032
% 102.72/103.16 Kept: 156353
% 102.72/103.16 Inuse: 1396
% 102.72/103.16 Deleted: 1622
% 102.72/103.16 Deletedinuse: 34
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16
% 102.72/103.16 Intermediate Status:
% 102.72/103.16 Generated: 722413
% 102.72/103.16 Kept: 158357
% 102.72/103.16 Inuse: 1415
% 102.72/103.16 Deleted: 1622
% 102.72/103.16 Deletedinuse: 34
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16
% 102.72/103.16 Intermediate Status:
% 102.72/103.16 Generated: 738675
% 102.72/103.16 Kept: 162022
% 102.72/103.16 Inuse: 1426
% 102.72/103.16 Deleted: 1624
% 102.72/103.16 Deletedinuse: 36
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16
% 102.72/103.16 Intermediate Status:
% 102.72/103.16 Generated: 748529
% 102.72/103.16 Kept: 164024
% 102.72/103.16 Inuse: 1438
% 102.72/103.16 Deleted: 1624
% 102.72/103.16 Deletedinuse: 36
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16
% 102.72/103.16 Intermediate Status:
% 102.72/103.16 Generated: 763073
% 102.72/103.16 Kept: 168665
% 102.72/103.16 Inuse: 1451
% 102.72/103.16 Deleted: 1624
% 102.72/103.16 Deletedinuse: 36
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16 Resimplifying clauses:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16
% 102.72/103.16 Intermediate Status:
% 102.72/103.16 Generated: 771715
% 102.72/103.16 Kept: 172206
% 102.72/103.16 Inuse: 1456
% 102.72/103.16 Deleted: 2104
% 102.72/103.16 Deletedinuse: 36
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16
% 102.72/103.16 Intermediate Status:
% 102.72/103.16 Generated: 790927
% 102.72/103.16 Kept: 176347
% 102.72/103.16 Inuse: 1461
% 102.72/103.16 Deleted: 2104
% 102.72/103.16 Deletedinuse: 36
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16
% 102.72/103.16 Intermediate Status:
% 102.72/103.16 Generated: 810621
% 102.72/103.16 Kept: 180556
% 102.72/103.16 Inuse: 1466
% 102.72/103.16 Deleted: 2104
% 102.72/103.16 Deletedinuse: 36
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16
% 102.72/103.16 Intermediate Status:
% 102.72/103.16 Generated: 826573
% 102.72/103.16 Kept: 184756
% 102.72/103.16 Inuse: 1476
% 102.72/103.16 Deleted: 2104
% 102.72/103.16 Deletedinuse: 36
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16
% 102.72/103.16 Intermediate Status:
% 102.72/103.16 Generated: 836493
% 102.72/103.16 Kept: 187560
% 102.72/103.16 Inuse: 1481
% 102.72/103.16 Deleted: 2104
% 102.72/103.16 Deletedinuse: 36
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16 Resimplifying clauses:
% 102.72/103.16 Done
% 102.72/103.16
% 102.72/103.16
% 102.72/103.16 Intermediate Status:
% 102.72/103.16 Generated: 845585
% 102.72/103.16 Kept: 189742
% 102.72/103.16 Inuse: 1496
% 102.72/103.16 Deleted: 2440
% 102.72/103.16 Deletedinuse: 36
% 102.72/103.16
% 102.72/103.16 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05
% 202.49/203.05 Intermediate Status:
% 202.49/203.05 Generated: 856676
% 202.49/203.05 Kept: 192789
% 202.49/203.05 Inuse: 1504
% 202.49/203.05 Deleted: 2440
% 202.49/203.05 Deletedinuse: 36
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05
% 202.49/203.05 Intermediate Status:
% 202.49/203.05 Generated: 867435
% 202.49/203.05 Kept: 195326
% 202.49/203.05 Inuse: 1521
% 202.49/203.05 Deleted: 2441
% 202.49/203.05 Deletedinuse: 37
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05
% 202.49/203.05 Intermediate Status:
% 202.49/203.05 Generated: 881009
% 202.49/203.05 Kept: 198947
% 202.49/203.05 Inuse: 1531
% 202.49/203.05 Deleted: 2441
% 202.49/203.05 Deletedinuse: 37
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05
% 202.49/203.05 Intermediate Status:
% 202.49/203.05 Generated: 891410
% 202.49/203.05 Kept: 201806
% 202.49/203.05 Inuse: 1536
% 202.49/203.05 Deleted: 2441
% 202.49/203.05 Deletedinuse: 37
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05
% 202.49/203.05 Intermediate Status:
% 202.49/203.05 Generated: 901537
% 202.49/203.05 Kept: 204569
% 202.49/203.05 Inuse: 1541
% 202.49/203.05 Deleted: 2441
% 202.49/203.05 Deletedinuse: 37
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05
% 202.49/203.05 Intermediate Status:
% 202.49/203.05 Generated: 912512
% 202.49/203.05 Kept: 207377
% 202.49/203.05 Inuse: 1546
% 202.49/203.05 Deleted: 2441
% 202.49/203.05 Deletedinuse: 37
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05
% 202.49/203.05 Intermediate Status:
% 202.49/203.05 Generated: 928985
% 202.49/203.05 Kept: 212136
% 202.49/203.05 Inuse: 1556
% 202.49/203.05 Deleted: 2441
% 202.49/203.05 Deletedinuse: 37
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05 Resimplifying clauses:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05
% 202.49/203.05 Intermediate Status:
% 202.49/203.05 Generated: 939956
% 202.49/203.05 Kept: 214897
% 202.49/203.05 Inuse: 1571
% 202.49/203.05 Deleted: 2697
% 202.49/203.05 Deletedinuse: 37
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05
% 202.49/203.05 Intermediate Status:
% 202.49/203.05 Generated: 946200
% 202.49/203.05 Kept: 216903
% 202.49/203.05 Inuse: 1581
% 202.49/203.05 Deleted: 2697
% 202.49/203.05 Deletedinuse: 37
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05
% 202.49/203.05 Intermediate Status:
% 202.49/203.05 Generated: 957500
% 202.49/203.05 Kept: 218973
% 202.49/203.05 Inuse: 1601
% 202.49/203.05 Deleted: 2697
% 202.49/203.05 Deletedinuse: 37
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05
% 202.49/203.05 Intermediate Status:
% 202.49/203.05 Generated: 968472
% 202.49/203.05 Kept: 221610
% 202.49/203.05 Inuse: 1616
% 202.49/203.05 Deleted: 2697
% 202.49/203.05 Deletedinuse: 37
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05
% 202.49/203.05 Intermediate Status:
% 202.49/203.05 Generated: 977636
% 202.49/203.05 Kept: 223620
% 202.49/203.05 Inuse: 1630
% 202.49/203.05 Deleted: 2697
% 202.49/203.05 Deletedinuse: 37
% 202.49/203.05
% 202.49/203.05
% 202.49/203.05 Intermediate Status:
% 202.49/203.05 Generated: 996426
% 202.49/203.05 Kept: 228353
% 202.49/203.05 Inuse: 1631
% 202.49/203.05 Deleted: 2697
% 202.49/203.05 Deletedinuse: 37
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05
% 202.49/203.05 Intermediate Status:
% 202.49/203.05 Generated: 1005422
% 202.49/203.05 Kept: 230370
% 202.49/203.05 Inuse: 1646
% 202.49/203.05 Deleted: 2697
% 202.49/203.05 Deletedinuse: 37
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05
% 202.49/203.05 Intermediate Status:
% 202.49/203.05 Generated: 1014923
% 202.49/203.05 Kept: 232814
% 202.49/203.05 Inuse: 1656
% 202.49/203.05 Deleted: 2697
% 202.49/203.05 Deletedinuse: 37
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05 Resimplifying clauses:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05
% 202.49/203.05 Intermediate Status:
% 202.49/203.05 Generated: 1026195
% 202.49/203.05 Kept: 235121
% 202.49/203.05 Inuse: 1676
% 202.49/203.05 Deleted: 2905
% 202.49/203.05 Deletedinuse: 37
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05
% 202.49/203.05 Intermediate Status:
% 202.49/203.05 Generated: 1033477
% 202.49/203.05 Kept: 237143
% 202.49/203.05 Inuse: 1686
% 202.49/203.05 Deleted: 2905
% 202.49/203.05 Deletedinuse: 37
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05
% 202.49/203.05 Intermediate Status:
% 202.49/203.05 Generated: 1040092
% 202.49/203.05 Kept: 239316
% 202.49/203.05 Inuse: 1696
% 202.49/203.05 Deleted: 2907
% 202.49/203.05 Deletedinuse: 39
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.49/203.05 Done
% 202.49/203.05
% 202.49/203.05
% 202.49/203.05 Intermediate Status:
% 202.49/203.05 Generated: 1049378
% 202.49/203.05 Kept: 241540
% 202.49/203.05 Inuse: 1711
% 202.49/203.05 Deleted: 2908
% 202.49/203.05 Deletedinuse: 40
% 202.49/203.05
% 202.49/203.05 Resimplifying inuse:
% 202.58/203.05 Done
% 202.58/203.05
% 202.58/203.05
% 202.58/203.05 Intermediate Status:
% 202.58/203.05 Generated: 1085862
% 202.58/203.05 Kept: 245863
% 202.58/203.05 Inuse: 1721
% 202.58/203.05 Deleted: 2908
% 202.58/203.05 Deletedinuse: 40
% 202.58/203.05
% 202.58/203.05 Resimplifying inuse:
% 202.58/203.05 Done
% 202.58/203.05
% 202.58/203.05
% 202.58/203.05 Intermediate Status:
% 202.58/203.05 Generated: 1097606
% 202.58/203.05 Kept: 248331
% 202.58/203.05 Inuse: 1726
% 202.58/203.05 Deleted: 2908
% 202.58/203.05 Deletedinuse: 40
% 202.58/203.05
% 202.58/203.05 Resimplifying inuse:
% 202.58/203.05 Done
% 202.58/203.05
% 202.58/203.05 Resimplifying inuse:
% 202.58/203.05 Done
% 202.58/203.05
% 202.58/203.05
% 202.58/203.05 Intermediate Status:
% 202.58/203.05 Generated: 1110274
% 202.58/203.05 Kept: 251016
% 202.58/203.05 Inuse: 1746
% 202.58/203.05 Deleted: 2908
% 202.58/203.05 Deletedinuse: 40
% 202.58/203.05
% 202.58/203.05 Resimplifying inuse:
% 202.58/203.05 Done
% 202.58/203.05
% 202.58/203.05 Resimplifying inuse:
% 202.58/203.05 Done
% 202.58/203.05
% 202.58/203.05
% 202.58/203.05 Intermediate Status:
% 202.58/203.05 Generated: 1122465
% 202.58/203.05 Kept: 253231
% 202.58/203.05 Inuse: 1766
% 202.58/203.05 Deleted: 2908
% 202.58/203.05 Deletedinuse: 40
% 202.58/203.05
% 202.58/203.05 Resimplifying clauses:
% 202.58/203.05 Done
% 202.58/203.05
% 202.58/203.05 Resimplifying inuse:
% 202.58/203.05 Done
% 202.58/203.05
% 202.58/203.05
% 202.58/203.05 Intermediate Status:
% 202.58/203.05 Generated: 1134621
% 202.58/203.05 Kept: 255467
% 202.58/203.05 Inuse: 1781
% 202.58/203.05 Deleted: 3073
% 202.58/203.05 Deletedinuse: 40
% 202.58/203.05
% 202.58/203.05 Resimplifying inuse:
% 202.58/203.05 Done
% 202.58/203.05
% 202.58/203.05 Resimplifying inuse:
% 202.58/203.05 Done
% 202.58/203.05
% 202.58/203.05
% 202.58/203.05 Intermediate Status:
% 202.58/203.05 Generated: 1143764
% 202.58/203.05 Kept: 257817
% 202.58/203.05 Inuse: 1791
% 202.58/203.05 Deleted: 3074
% 202.58/203.05 Deletedinuse: 41
% 202.58/203.05
% 202.58/203.05 Resimplifying inuse:
% 202.58/203.05 Done
% 202.58/203.05
% 202.58/203.05 ResimplifyCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------